Jerrold E. Marsden
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Canadian-American mathematician
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Jerrold E. Marsden's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics University of Wisconsin–Madison
Why Is Jerrold E. Marsden Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jerrold Eldon Marsden was a Canadian mathematician. He was the Carl F. Braun Professor of Engineering and Control & Dynamical Systems at the California Institute of Technology. Marsden is listed as an ISI highly cited researcher.
Jerrold E. Marsden's Published Works
Published Works
- Introduction to mechanics and symmetry (1994) (3212)
- The Hopf Bifurcation and Its Applications (1976) (1951)
- Manifolds, Tensor Analysis, and Applications (1983) (1845)
- Mathematical foundations of elasticity (1982) (1585)
- Discrete mechanics and variational integrators (2001) (1576)
- Reduction of symplectic manifolds with symmetry (1974) (1378)
- Groups of diffeomorphisms and the motion of an incompressible fluid (1970) (1329)
- A mathematical introduction to fluid mechanics (1979) (1307)
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows (2005) (1251)
- Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems (1999) (1004)
- The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories (1998) (976)
- Nonlinear stability of fluid and plasma equilibria (1985) (874)
- Nonholonomic mechanical systems with symmetry (1996) (741)
- Discrete exterior calculus (2005) (636)
- Lectures on analysis (1969) (593)
- Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs (1998) (577)
- A subspace approach to balanced truncation for model reduction of nonlinear control systems (2002) (571)
- Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. (2000) (561)
- Dynamical Systems, the Three-Body Problem and Space Mission Design (2009) (561)
- Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids (1983) (517)
- Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem (2000) (512)
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators (1988) (466)
- Elementary classical analysis (1974) (444)
- Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems (2000) (437)
- Foundations of Mechanics, Second Edition (1987) (430)
- Manifolds, tensor analysis, and applications: 2nd edition (1988) (423)
- Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping (2001) (406)
- Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity (1977) (382)
- Semidirect products and reduction in mechanics (1984) (371)
- Lectures on Mechanics (1992) (362)
- Low Energy Transfer to the Moon (2001) (353)
- Product formulas and numerical algorithms (1978) (342)
- EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION (1998) (340)
- Connecting orbits and invariant manifolds in the spatial restricted three-body problem (2004) (337)
- The Hamiltonian structure of the Maxwell-Vlasov equations (1982) (326)
- Reduction, Symmetry, And Phases In Mechanics (1990) (319)
- Reduction of Poisson manifolds (1986) (319)
- Mechanical integrators derived from a discrete variational principle (1997) (309)
- Asynchronous Variational Integrators (2003) (289)
- Maximal hypersurfaces and foliations of constant mean curvature in general relativity (1980) (287)
- Lagrangian analysis of fluid transport in empirical vortex ring flows (2006) (286)
- Basic Complex Analysis (1973) (278)
- Dimensional model reduction in non‐linear finite element dynamics of solids and structures (2001) (277)
- Variational time integrators (2004) (276)
- Properties of infinite dimensional Hamiltonian systems (1974) (267)
- Collision avoidance for multiple agent systems (2003) (266)
- Momentum maps and classical relativistic fields. Part 1: Covariant Field Theory (1998) (257)
- Symplectic-energy-momentum preserving variational integrators (1999) (244)
- Hamiltonian Reduction by Stages (2007) (239)
- A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam (1981) (239)
- Lagrangian Reduction by Stages (2001) (237)
- Stability of relative equilibria. Part I: The reduced energy-momentum method (1991) (235)
- The Euler-Poincaré equations and double bracket dissipation (1996) (231)
- The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates (1988) (231)
- Stabilization of rigid body dynamics by internal and external torques (1992) (230)
- Locomotion of Articulated Bodies in a Perfect Fluid (2005) (225)
- The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system, I (1972) (224)
- Empirical model reduction of controlled nonlinear systems (1999) (214)
- Generalized Hamiltonian mechanics (1968) (207)
- The Breadth of Symplectic and Poisson Geometry (2007) (207)
- Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems (1982) (205)
- Perspectives and Problems in Nonlinear Science (2003) (201)
- Lagrangian coherent structures in n-dimensional systems (2007) (198)
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's (1994) (195)
- Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom (1982) (194)
- DISCRETE MECHANICS AND OPTIMAL CONTROL: AN ANALYSIS ∗ (2008) (191)
- Foundations of Mechanics: 2nd Edition (1980) (191)
- Controllability for Distributed Bilinear Systems (1982) (191)
- Discrete mechanics and optimal control (2005) (190)
- Structure-preserving model reduction for mechanical systems (2003) (181)
- Reconstruction equations and the Karhunen—Loéve expansion for systems with symmetry (2000) (180)
- Discrete Euler-Poincaré and Lie-Poisson equations (1999) (175)
- Variational integrators for constrained dynamical systems (2008) (173)
- Finite element analysis of nonsmooth contact (1999) (172)
- The equivalence of controlled lagrangian and controlled hamiltonian systems (2002) (171)
- Symmetry and bifurcations of momentum mappings (1981) (171)
- Nonsmooth Lagrangian Mechanics and Variational Collision Integrators (2003) (170)
- Horseshoes and Arnold Diffusion for Hamiltonian Systems on Lie Groups (1981) (168)
- Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains (2001) (167)
- Lagrangian reduction and the double spherical pendulum (1993) (165)
- Control for an autonomous bicycle (1995) (162)
- Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation (2003) (162)
- Richardson number criterion for the nonlinear stability of three-dimensional stratified flow (1984) (156)
- Geometric mechanics, Lagrangian reduction, and nonholonomic systems (2001) (156)
- The Reduced Euler-Lagrange Equations (1993) (156)
- Quasiconvexity at the boundary, positivity of the second variation and elastic stability (1984) (155)
- Stabilization of mechanical systems using controlled Lagrangians (1997) (154)
- The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems (1997) (153)
- Discrete mechanics and optimal control for constrained systems (2010) (151)
- Hamiltonian structures and stability for rigid bodies with flexible attachments (1987) (151)
- Multisymplectic geometry, covariant Hamiltonians, and water waves (1998) (149)
- Dissipation-induced instabilities in finite dimensions (2007) (149)
- Deformations of the scalar curvature (1975) (145)
- Geometric, variational integrators for computer animation (2006) (142)
- Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction (1997) (142)
- Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence (2003) (142)
- Dirac structures in Lagrangian mechanics Part I: Implicit Lagrangian systems (2006) (141)
- Reduction theory and the Lagrange-Routh equations (2000) (141)
- Variational Methods, Multisymplectic Geometry and Continuum Mechanics (2000) (141)
- Hamilton–Pontryagin Integrators on Lie Groups Part I: Introduction and Structure-Preserving Properties (2008) (139)
- Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcations (1988) (139)
- Dirac structures in Lagrangian mechanics Part II: Variational structures (2006) (138)
- Stability and drift of underwater vehicle dynamics: mechanical systems with rigid motion symmetry (1997) (137)
- The Hamiltonian structure for dynamic free boundary problems (1986) (134)
- Review: Victor Guillemin and Shlomo Sternberg, Geometric asymptotics, and Nolan R. Wallach, Symplectic geometry and Fourier analysis (1979) (133)
- Dynamic inversion of nonlinear maps with applications to nonlinear control and robotics (1995) (133)
- Invariant Manifolds, the Spatial Three-Body Problem and Space Mission Design (2001) (132)
- Introduction to Dynamics (1983) (131)
- Preparing to predict: The Second Autonomous Ocean Sampling Network (AOSN-II) experiment in the Monterey Bay (2009) (129)
- The correlation between surface drifters and coherent structures based on high-frequency radar data in Monterey Bay (2009) (129)
- Study of blood flow impact on growth of thrombi using a multiscale model (2009) (129)
- Reduction and Hamiltonian structures on duals of semidirect product Lie algebras (1984) (128)
- Statistical theory of asteroid escape rates. (2002) (126)
- Structure-preserving discretization of incompressible fluids (2009) (124)
- Bifurcation to divergence and flutter in flow-induced oscillations: an infinite dimensional analysis (1978) (124)
- Optimal trajectory generation in ocean flows (2005) (123)
- Nonlinear stability analysis of stratified fluid equilibria (1986) (121)
- Hamiltonian systems with symmetry, coadjoint orbits and plasma physics (1983) (120)
- On the rotated stress tensor and the material version of the Doyle-Ericksen formula (1984) (119)
- The structure of the space of solutions of Einstein's equations II: several Killing fields and the Einstein-Yang-Mills equations (1982) (116)
- Transport in Dynamical Astronomy and Multibody Problems (2005) (115)
- Constructing a Low Energy TransferBetween Jovian Moons (2001) (114)
- Trends and perspectives in applied mathematics (1994) (114)
- On Spatial and Material Covariant Balance Laws in Elasticity (2006) (113)
- Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories (2004) (112)
- The Anisotropic Lagrangian Averaged Euler and Navier-Stokes Equations (2003) (111)
- New methods in celestial mechanics and mission design (2005) (111)
- Reduction and reconstruction for self-similar dynamical systems (2002) (109)
- Lagrangian Reduction, the Euler{Poincar e Equations, and Semidirect Products (1999) (108)
- Time‐discretized variational formulation of non‐smooth frictional contact (2002) (107)
- Homothetic and conformal symmetries of solutions to Einstein's equations (1986) (106)
- The structure of the space of solutions of Einstein's equations. I. One Killing field. (1980) (105)
- Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging (2009) (101)
- Shoot the Moon (2000) (100)
- Quasivelocities and symmetries in non-holonomic systems (2009) (99)
- Optimal pollution mitigation in Monterey Bay based on coastal radar data and nonlinear dynamics. (2007) (99)
- Discrete Geometric Optimal Control on Lie Groups (2011) (98)
- The initial value problem and the dynamical formulation of general relativity (1979) (96)
- The energy-momentum method for the stability of non-holonomic systems (1998) (96)
- An Overview of Variational Integrators (2004) (96)
- Stabilization of rigid body dynamicsby the Energy-Casimir method (1990) (93)
- Foundations of computational geometric mechanics (2004) (93)
- The geometry and analysis of the averaged Euler equations and a new diffeomorphism group (1999) (93)
- Lectures on geometric methods in mathematical physics (1987) (93)
- Stress-Energy-Momentum Tensors and the Belinfante-Rosenfeld Formula (1992) (93)
- The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's¶of Shallow Water and Dym Type (2001) (93)
- Transport and stirring induced by vortex formation (2007) (93)
- Linearization stability of the Einstein equations (1973) (92)
- Applications of Global Analysis in Mathematical Physics (1974) (92)
- Poisson reduction for nonholonomic mechanical systems with symmetry (1998) (91)
- Resonance and Capture of Jupiter Comets (2001) (90)
- Variational principles for Lie-Poisson and Hamilton-Poincaré equations (2003) (89)
- The Einstein Equations of Evolution -- A Geometric Approach (1972) (89)
- The heavy top: a geometric treatment (1992) (89)
- The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices (2002) (89)
- Diffeomorphism groups, hydrodynamics and relativity (1972) (87)
- Generic bifurcation of Hamiltonian systems with symmetry (1987) (86)
- Controlled Lagrangians and the stabilization of Euler–Poincaré mechanical systems (2001) (85)
- Geometric, variational discretization of continuum theories (2010) (84)
- Tippe Top Inversion as a Dissipation-Induced Instability (2004) (83)
- Point vortices on a sphere: Stability of relative equilibria (1998) (81)
- Stability of coupled rigid body and geometrically exact rods, block diagonalization and the energy, momentum method (1990) (80)
- Lagrangian coherent structures in the planar elliptic restricted three-body problem (2009) (80)
- Matching and stabilization by the method of controlled Lagrangians (1998) (80)
- Halo orbit mission correction maneuvers using optimal control (2002) (78)
- Gauged Lie-Poisson structures (1984) (77)
- Controlled Lagrangian Systems with Gyroscopic Forcing and Dissipation (2004) (75)
- Model reduction for analysis of cascading failures in power systems (1999) (74)
- Stabilization of the pendulum on a rotor arm by the method of controlled Lagrangians (1999) (73)
- LYAPUNOV-BASED TRANSFER BETWEEN ELLIPTIC KEPLERIAN ORBITS (2001) (73)
- Maximal Hypersurfaces and Positivity of Mass (1979) (72)
- On the link between umbilic geodesics and soliton solutions of nonlinear PDEs (1995) (72)
- The Euler-Poincaré Equations in Geophysical Fluid Dynamics (1999) (71)
- The Genesis Trajectory and Heteroclinic Connections (1999) (71)
- Arnold diffusion in the swing equations of a power system (1984) (69)
- Symmetry reduction of discrete Lagrangian mechanics on Lie groups (2000) (68)
- A slice theorem for the space of solutions of Einstein's equations (1982) (68)
- Potential shaping and the method of controlled Lagrangians (1999) (67)
- Manifolds of Riemannian metrics with prescribed scalar curvature (1974) (67)
- Open-boundary modal analysis: Interpolation, extrapolation, and filtering (2004) (65)
- Symmetries in Motion: Geometric Foundations of Motion Control (1998) (65)
- Symplectic Reduction for Semidirect Products and Central Extensions. (1998) (65)
- Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms (2007) (65)
- Nonlinear stability conditions and a priori estimates for barotropic hydrodynamics (1983) (64)
- Covariant Poisson Brackets for Classical Fields (1986) (64)
- The Manifold of Conformally Equivalent Metrics (1977) (63)
- Some remarks on Lagrangian and Poisson reduction for field theories (2003) (63)
- Generic bifurcation of Hamiltonian vector fields with symmetry (1992) (62)
- Design of a multi-moon orbiter (2003) (62)
- Generalized Hamiltonian mechanics a mathematical exposition of non-smooth dynamical systems and classical Hamiltonian mechanics (1968) (61)
- Geometric phases, reduction and Lie-Poisson structure for the resonant three-wave interaction (1998) (61)
- Linearization stability of nonlinear partial differential equations (1975) (61)
- Integration Algorithms and Classical Mechanics (1996) (60)
- Discrete exterior calculus for variational problems in computer vision and graphics (2003) (60)
- Lin constraints, Clebsch potentials and variational principles (1987) (60)
- Symmetry and bifurcation in three-dimensional elasticity, part I (1982) (60)
- Optimal trajectory generation for a glider in time-varying 2D ocean flows B-spline model (2008) (58)
- Stability of relative equilibria. Part II: Application to nonlinear elasticity (1991) (58)
- Applications of the blowing-up construction and algebraic geometry to bifurcation problems (1983) (58)
- Qualitative methods in bifurcation theory (1978) (58)
- J2 DYNAMICS AND FORMATION FLIGHT (2001) (57)
- Gyroscopic Forces and Collision Avoidance with Convex Obstacles (2003) (57)
- Well-posedness of the equations of a non-homogeneous perfect fluid (1976) (56)
- Geometric discretization of nonholonomic systems with symmetries (2009) (56)
- On destabilizing effects of two fundamental non-conservative forces (2006) (56)
- The constrained Liapunov-Schmidt procedure and periodic orbits (1995) (55)
- Bifurcation to Quasi-Periodic Tori in the Interaction of Steady State and Hopf Bifurcations (1984) (54)
- On product formulas for nonlinear semigroups (1973) (53)
- Geometric Mechanics and the Dynamics of Asteroid Pairs (2004) (53)
- On continuity and smoothness of group actions (1970) (53)
- Dynamical methods for polar decomposition and inversion of matrices (1997) (52)
- The Orbit Bundle Picture of Cotangent BundleReduction (2000) (52)
- Symplectic connections and the linearisation of Hamiltonian systems (1991) (51)
- The symmetric representation of the rigid body equations and their discretization (2002) (51)
- Topics in the mathematical foundations of elasticity (1978) (51)
- Controlling homoclinic orbits (1989) (51)
- Dynamics and Control of Multibody Systems (1989) (50)
- Theory and Computation of Non-RRKM Lifetime Distributions and Rates in Chemical Systems with Three or More Degrees of Freedom (2005) (50)
- Stabilization of relative equilibria (2000) (50)
- Nonholonomic Dynamics (2004) (48)
- Horseshoes in hurricanes (2010) (47)
- Fluids and Plasmas: Geometry and Dynamics (1984) (47)
- Geometric Methods in Mathematical Physics (1980) (46)
- Discrete mechanics and optimal control applied to the compass gait biped (2007) (46)
- The York map is a canonical transformation (1984) (46)
- Integration and topological vector spaces (1969) (46)
- Factor-Analysis of nonlinear mappings: p-regularity theory (2003) (45)
- Discrete Routh reduction (2005) (44)
- Variational integrators for degenerate Lagrangians, with application to point vortices (2002) (44)
- Model reduction, centering, and the Karhunen-Loeve expansion (1998) (43)
- The Hamiltonian structure of the BBGKY hierarchy equations (1984) (43)
- Optimal Motion of an Articulated Body in a Perfect Fluid (2005) (43)
- REDUCTION OF DIRAC STRUCTURES AND THE HAMILTON-PONTRYAGIN PRINCIPLE (2007) (43)
- Perspectives and problems in no[n]linear science : a celebratory volume in honor of Lawrence Sirovich (2003) (43)
- Discrete Lie Advection of Differential Forms (2009) (42)
- A Group Theoretic Approach to the Equations of Plasma Physics (1982) (42)
- Hamilton-Pontryagin Integrators on Lie Groups: Introduction and Structure-Preserving Properties (2008) (42)
- The dynamics of coupled planar rigid bodies. Part I: reduction, equilibria and stability (1987) (41)
- The Hamiltonian structure of general relativistic perfect fluids (1985) (41)
- Stability and bifurcation of a rotating planar liquid drop (1987) (40)
- Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach (2006) (40)
- Topics in the Dynamics or General Relativity (1979) (39)
- Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics (1994) (39)
- Chaos and Arnold diffusion in dynamical systems (1983) (38)
- Mechanical systems with symmetry, variational principles, and integration algorithms (1997) (38)
- The breadth of symplectic and poisson geometry : Festschrift in honor of Alan Weinstein (2005) (37)
- Bifurcation problems with hidden symmetries (1984) (37)
- Solution of the local mass problem in general relativity (1976) (37)
- Variational principles on principal fiber bundles: A geometry theory of Clebsch potentials and Lin constraints (1987) (36)
- Lagrangian Averaging for Compressible Fluids (2003) (36)
- Geometric Mechanics and the Dynamics of Asteroid Pairs (2004) (36)
- Hamiltonian structure for a neutrally buoyant rigid body interacting with N vortex rings of arbitrary shape: the case of arbitrary smooth body shape (2008) (36)
- Extremely wideband signal shaping using one- and two-dimensional nonuniform nonlinear transmission lines (2006) (36)
- Classical elastodynamics as a linear symmetric hyperbolic system (1978) (35)
- Discrete Poincaré lemma (2005) (35)
- Variational integrators for electric circuits (2011) (34)
- On the motion of incompressible fluids (1970) (34)
- The Hamiltonian structure of continuum mechanics in material, inverse material, spatial and convective representations (1986) (34)
- The Lyapunov-Malkin theorem and stabilization of the unicycle with rider (2002) (34)
- On billiard solutions of nonlinear PDEs (1999) (34)
- Reduced Variational Formulations in Free Boundary Continuum Mechanics (2012) (34)
- Symmetry and bifurcation in three-dimensional elasticity (1983) (33)
- The Hopf bifurcation for nonlinear semigroups (1973) (33)
- Controlled Lagrangians and Stabilization of the Discrete Cart-Pendulum System (2005) (33)
- Gyration-radius dynamics in structural transitions of atomic clusters. (2007) (33)
- Transport of Mars-crossing asteroids from the quasi-Hilda region. (2005) (33)
- Some basic properties of infinite dimensional Hamiltonian systems (1974) (33)
- On completeness of homogeneous Pseudo-Riemannian manifolds (1973) (33)
- The Rotor and the Pendulum (1991) (33)
- Differential Equations: An Introduction with Mathematica® (1995) (32)
- Noncanonical Hamiltonian field theory and reduced MHD (1984) (32)
- Variational Integrators for Maxwell's Equations with Sources (2008) (32)
- Exponentially Small Estimates for Separatrix Splittings (1991) (32)
- Binary Asteroid Observation Orbits from a Global Dynamical Perspective (2006) (32)
- The dynamics of coupled planar rigid bodies. II. Bifurcations, periodic solutions, and chaos (1989) (32)
- The geometry and dynamics of interacting rigid bodies and point vortices (2008) (31)
- Dissipation-Induced Heteroclinic Orbits in Tippe Tops (2008) (31)
- Some Comments on the History, Theory, and Applications of Symplectic Reduction (2001) (31)
- The Morse Lemma in Infinite Dimensions via Singularity Theory (1983) (31)
- Geometric analysis of optical frequency conversion and its control in quadratic nonlinear media (2000) (30)
- Uncertainty in the dynamics of conservative maps (2004) (30)
- The Absence of Killing Fields is Necessary for Linearization Stability of Einstein's Equations (1979) (30)
- Coupled Oscillator Models with no Scale Separation (2009) (30)
- Dirac cotangent bundle reduction (2009) (30)
- Two Axially Symmetric Coupled Rigid Bodies: Relative Equilibria, Stability, Bifurcations, and a Momentum Preserving Symplectic Integrator (1991) (30)
- Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid. (1969) (30)
- Trajectory Design Combining Invariant Manifolds with Discrete Mechanics and Optimal Control (2012) (30)
- An Introduction to Infinite-Dimensional Systems (1999) (29)
- Reduction of Hamilton's variational principle (2000) (29)
- Physical dissipation and the method of controlled Lagrangians (2001) (29)
- Averaged Template Matching Equations (2001) (29)
- COVARIANT BALANCE LAWS IN CONTINUA WITH MICROSTRUCTURE (2008) (29)
- The Dynamics of Coupled Planar Rigid Bodies. (1986) (29)
- Shock Regularization for the Burgers Equation (2006) (28)
- Time–frequency analysis of the restricted three-body problem: transport and resonance transitions (2004) (28)
- Pattern evocation and geometric phases in mechanical systems with symmetry (1995) (27)
- The existence of maximal slicings in asymptotically flat spacetimes (1976) (27)
- On geometric phases for soliton equations (1992) (27)
- Reduction of Controlled Lagrangian and Hamiltonian Systems with Symmetry (2004) (26)
- Feedback stabilization of relative equilibria for mechanical systems with symmetry (1997) (26)
- Stability of rigid body motion using the energy-Casimir method (1984) (26)
- Leapfrogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction (2003) (26)
- Symmetry, Stability, Geometric Phases, and Mechanical Integrators (Part II) (1991) (26)
- Matching and stabilization of low-dimensional nonholonomic systems (2000) (26)
- Optimal Control and Geodesics on Quadratic Matrix Lie Groups (2008) (26)
- Hamiltonian structure and Lyapunov stability for ideal continuum dynamics (1986) (25)
- Flat nonholonomic matching (2002) (25)
- Stabilization of Relative Equilibria II (1998) (25)
- INTEGRATION OF THE EPDIFF EQUATION BY PARTICLE METHODS (2012) (25)
- A block diagonalization theorem in the energy-momentum method (1989) (25)
- Foundations of mechanics : a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the three-body problem (1978) (24)
- Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics (2003) (24)
- Controlled Lagrangians and Potential Shaping for Stabilization of Discrete Mechanical Systems (2006) (24)
- On the Hamiltonian structure and three-dimensional instabilities of rotating liquid bridges (1999) (24)
- Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics (2007) (24)
- Basic Multivariable Calculus (1993) (24)
- Stabilization of the unicycle with rider (1999) (24)
- Discrete rigid body dynamics and optimal control (1998) (24)
- Relative equilibria for the generalized rigid body (2005) (23)
- Stress tensors, Riemannian metrics and the alternative descriptions in elasticity (1984) (23)
- Visualization of orbits and pattern evocation for the double spherical pendulum (1996) (23)
- Hamiltonian systems with symmetry (2008) (23)
- Variational r‐adaption in elastodynamics (2008) (23)
- A Discrete Geometric Optimal Control Framework for Systems with Symmetries (2007) (23)
- Dissipation-Induced Instability Phenomena in Infinite-Dimensional Systems (2009) (23)
- The limits of hamiltonian structures in three-dimensional elasticity, shells, and rods (1996) (23)
- The Limits of Hamiltonian Structures in Three Dimensional Elasticity , Shells , and Rods (1996) (22)
- A note on symmetry and stability for fluid flows (1990) (22)
- Chemical burns of the eye. (1991) (22)
- Regular Reduction of Controlled Hamiltonian System with Symplectic Structure and Symmetry (2012) (22)
- The dynamics of a rigid body in potential flow with circulation (2010) (22)
- Park City Lectures on Mechanics, Dynamics, and Symmetry (1999) (22)
- Computational Electromagnetism with Variational Integrators and Discrete Differential Forms (2007) (21)
- An optimal control formulation for inviscid incompressible ideal fluid flow (2000) (21)
- A nonlinear analysis of the averaged Euler equations and a new diffeomorphism group (1999) (21)
- Geometric Foundations of Motion and Control (2003) (21)
- Dirac structures and the Legendre transformation for implicit Lagrangian and Hamiltonian systems (2007) (21)
- Abstract mechanical connection and Abelianreconstruction for almost Kähler manifolds (2000) (21)
- Parking a Spacecraft near an Asteroid Pair (2006) (20)
- Invariant manifolds, discrete mechanics, and trajectory design for a mission to Titan (2009) (20)
- Variational integrators, the Newmark scheme, and dissipative systems (2000) (20)
- The anisotropic averaged Euler equations (2000) (20)
- Darboux's Theorem Fails for Weak Symplectic Forms (1972) (20)
- Microflows and Nanoflows (2005) (19)
- The Dynamics of Two Coupled Rigid Bodies (1987) (19)
- Proceedings of the CRM Workshop on Hamiltonian Systems, Transformation Groups and Spectral Transform Methods (1990) (19)
- Stability of Relative Equilibria of Point Vortices on a Sphere and Symplectic Integrators (1999) (19)
- Application of Tube Dynamics to Non-Statistical Reaction Processes (2006) (19)
- Dirac Structures and Implicit Lagrangian Systems in Electric Networks (2006) (18)
- Hamiltonian one parameter groups a mathematical exposition of infinite dimensional Hamiltonian Systems with applications in classical and quantum mechanics (1968) (18)
- Generalized poisson brackets and nonlinear Liapunov stability application to reduces mhd (1984) (18)
- Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures (2010) (18)
- Geometric Derivation of the Delaunay Variables and Geometric Phases (2003) (18)
- Nonlinear stability of the Kelvin-Stuart cat's eyes flow (1986) (18)
- Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy-Casimir Method (1987) (17)
- Energy dependent Schrödinger operators and complex Hamiltonian systems on Riemann surfaces (1997) (17)
- Block diagonalization and the energy-momentum method (1989) (17)
- A dynamic inverse for nonlinear maps (1995) (17)
- Two examples in nonlinear elasticity (1978) (17)
- Temporal and spatial chaos in a van der Waals fluid due to periodic thermal fluctuations (1985) (16)
- Covariantization of nonlinear elasticity (2012) (16)
- The construction and smoothness of invariant manifolds by the deformation method (1987) (16)
- A formula for the solution of the Navier-Stokes equations based on a method of Chorin (1974) (16)
- Some applications of geometry is continuum mechanics (1977) (16)
- Bifurcations of dynamical systems and nonlinear oscillations in engineering systems (1978) (16)
- A Class of Integrable Flows on the Space of Symmetric Matrices (2009) (16)
- Variational Collision Integrators and Optimal Control (2008) (16)
- NUMERICAL SIMULATIONS OF THE LAGRANGIAN AVERAGED NAVIER-STOKES (LANS-α) EQUATIONS (2001) (15)
- A comparison theorem for Hamiltonian vector fields (1970) (15)
- A geometric treatment of Jellett's egg (2005) (15)
- Spacecraft dynamics near a binary asteroid (2005) (15)
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