Tudor Ratiu | Academic Influence

Tudor Ratiu's AcademicInfluence.com Rankings

Tudor Ratiu

Mathematics

#1803

World Rank

#2883

Historical Rank

#734

USA Rank

Differential Topology

#7

World Rank

#7

Historical Rank

#3

USA Rank

Measure Theory

#757

World Rank

#1015

Historical Rank

#300

USA Rank

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Mathematics

Tudor Ratiu's Degrees

PhD Mathematics University of California, Berkeley

Why Is Tudor Ratiu Influential?

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According to Wikipedia, Tudor Stefan Rațiu is a Romanian-American mathematician who has made contributions to geometric mechanics and dynamical systems theory. Education His father, Mircea Ratiu, an engineer, was the younger brother of Ion Rațiu, a well-known Romanian politician, while his mother, Rodica Bucur, was a piano professor at the Conservatory of Music in Timișoara. Ratiu did his undergraduate studies at the University of Timișoara, completing his B.Sc. in 1973 and his M.S. in 1974.

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Tudor Ratiu's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Introduction to mechanics and symmetry (1994) (3212)
Manifolds, Tensor Analysis, and Applications (1983) (1845)
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)
Momentum Maps and Hamiltonian Reduction (2003) (422)
Semidirect products and reduction in mechanics (1984) (371)
EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION (1998) (340)
Reduction of Poisson manifolds (1986) (319)
Reduction, Symmetry, And Phases In Mechanics (1990) (319)
Lagrangian Reduction by Stages (2001) (237)
The Euler-Poincaré equations and double bracket dissipation (1996) (231)
The Breadth of Symplectic and Poisson Geometry (2007) (207)
Foundations of Mechanics: 2nd Edition (1980) (191)
Richardson number criterion for the nonlinear stability of three-dimensional stratified flow (1984) (156)
Geometric mechanics, Lagrangian reduction, and nonholonomic systems (2001) (156)
The motion of the free $n$-dimensional rigid body (1980) (142)
Reduction theory and the Lagrange-Routh equations (2000) (141)
The Hamiltonian structure for dynamic free boundary problems (1986) (134)
Completely integrable gradient flows (1992) (129)
Reduction and Hamiltonian structures on duals of semidirect product Lie algebras (1984) (128)
Nonlinear stability analysis of stratified fluid equilibria (1986) (121)
Hamiltonian systems with symmetry, coadjoint orbits and plasma physics (1983) (120)
Kac-moody lie algebras and soliton equations: II. Lax equations associated with A1(1) (1983) (117)
Lagrangian Reduction, the Euler{Poincar e Equations, and Semidirect Products (1999) (108)
The geometric structure of complex fluids (2009) (101)
Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body. (1982) (96)
The geometry and analysis of the averaged Euler equations and a new diffeomorphism group (1999) (93)
Variational principles for Lie-Poisson and Hamilton-Poincaré equations (2003) (89)
The heavy top: a geometric treatment (1992) (89)
Northern California symplectic geometry seminar (1999) (88)
Banach Lie-Poisson Spaces and Reduction (2002) (84)
A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra (1990) (81)
Gauged Lie-Poisson structures (1984) (77)
Stability of Hamiltonian relative equilibria (1999) (76)
The Momentum Map Representation of Images (2009) (73)
Invariant Higher-Order Variational Problems (2010) (73)
The second grade fluid and averaged Euler equations with Navier-slip boundary conditions (2003) (71)
Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body (1981) (71)
The Euler-Poincaré Equations in Geophysical Fluid Dynamics (1999) (71)
A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map (1990) (70)
Reduction in principal fiber bundles: covariant Euler-Poincaré equations. (1999) (69)
The differentiable structure of three remarkable diffeomorphism groups (1981) (69)
Euler–Poincaré Reduction on Principal Bundles (2001) (66)
The Geometry of Hamiltonian Systems (1991) (66)
Symplectic Reduction for Semidirect Products and Central Extensions. (1998) (65)
Reduction in Principal Bundles: Covariant Lagrange-Poincaré Equations (2003) (64)
Nonlinear stability conditions and a priori estimates for barotropic hydrodynamics (1983) (64)
Geometric Mechanics and Symmetry:The Peyresq Lectures (2005) (62)
The Lagrange rigid body motion (1982) (61)
Symmetry Reduced Dynamics of Charged Molecular Strands (2010) (60)
Singular Reduction of Poisson Manifolds (1998) (59)
The tropical momentum map: a classification of toric log symplectic manifolds (2014) (58)
A convexity theorem for Poisson actions of compact Lie groups (1996) (58)
The C. Neumann problem as a completely integrable system on an adjoint orbit (1981) (55)
The symmetric representation of the rigid body equations and their discretization (2002) (51)
Symplectic connections and the linearisation of Hamiltonian systems (1991) (51)
The geometry of the universal Teichmuller space and the Euler-Weil-Petersson equation (2015) (49)
Kac-moody lie algebras and soliton equations. III. Stationary equations associated with A1(1) (1983) (48)
Singular reduction of implicit Hamiltonian systems (2003) (48)
Geometry of the Virasoro-Bott group (1998) (45)
On the nonlinear convexity theorem of Kostant (1991) (44)
Clebsch optimal control formulation in mechanics (2011) (44)
The momentum map in Poisson geometry (2007) (43)
Rotatingn-gon/kn-gon vortex configurations (1996) (42)
Invariant Higher-Order Variational Problems II (2011) (40)
Stability and bifurcation of a rotating planar liquid drop (1987) (40)
Non-linear stability of singular relative periodic orbits in Hamiltonian systems with symmetry (1999) (38)
The breadth of symplectic and poisson geometry : Festschrift in honor of Alan Weinstein (2005) (37)
Hamiltonian Hopf Bifurcation with Symmetry (2001) (37)
Lagrange–Poincaré field equations (2009) (37)
Discrete variational Lie group formulation of geometrically exact beam dynamics (2015) (37)
Multisymplectic Lie group variational integrator for a geometrically exact beam in R3 (2014) (36)
The diameter of the symplectomorphism group is infinite (1991) (36)
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions (2011) (35)
A Lie group structure for Fourier integral operators (1986) (35)
The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits (2006) (35)
The Hamiltonian structure of continuum mechanics in material, inverse material, spatial and convective representations (1986) (34)
Dirac Structures, Nonholonomic Systems and Reduction (2008) (34)
Reduced Variational Formulations in Free Boundary Continuum Mechanics (2012) (34)
The Lie Group Structure of Diffeomorphism Groups and Invertible Fourier Integral Operators with Applications (1985) (32)
A crash course in geometric mechanics (2005) (32)
A Symplectic Slice Theorem (2001) (32)
A new Lagrangian dynamic reduction in field theory (2014) (31)
Momentum Maps and Stochastic Clebsch Action Principles (2016) (30)
Asymptotic and Lyapunov stability of constrained and Poisson equilibria (2005) (29)
Symplectic leaves in real banach Lie–Poisson spaces (2004) (29)
An Introduction to Infinite-Dimensional Systems (1999) (29)
Equivalent Theories of Liquid Crystal Dynamics (2011) (29)
The Lie algebraic interpretation of the complete integrability of the Rosochatius system (1982) (29)
A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus (1993) (29)
A Lie group structure for pseudodifferential operators (1986) (28)
Singular reduction of Dirac structures (2009) (27)
The Optimal Momentum Map (2002) (26)
Stability of rigid body motion using the energy-Casimir method (1984) (26)
Hamiltonian structure and Lyapunov stability for ideal continuum dynamics (1986) (25)
Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids (2008) (25)
Bifurcation of relative equilibria in mechanical systems with symmetry (1999) (25)
Geometric dynamics of optimization (2009) (24)
Persistence and smoothness of critical relative elements in Hamiltonian systems with symmetry (1997) (24)
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)
The three-point vortex problem: commutative and noncommutative integrability (1988) (24)
Discrete rigid body dynamics and optimal control (1998) (24)
Sub-Riemannian optimal control problems (1994) (24)
Gradient Flows in the Normal and Kähler Metrics and Triple Bracket Generated Metriplectic Systems (2012) (23)
Variational Principles For Spin Systems And The Kirchhoff Rod (2009) (23)
Openness And Convexity For Momentum Maps (2005) (21)
A nonlinear analysis of the averaged Euler equations and a new diffeomorphism group (1999) (21)
Multisymplectic variational integrators and space/time symplecticity (2013) (21)
Stability of Equilibria for the $\mathfrak{so}(4)$ Free Rigid Body (2008) (20)
Geometric representation theory for unitary groups of operator algebras (2005) (20)
Canonical maps between semidirect products with applications to elasticity and superfluids (1983) (19)
The reduced spaces of a symplectic Lie group action (2005) (18)
Nonlinear stability of the Kelvin-Stuart cat's eyes flow (1986) (18)
Moduli spaces of toric manifolds (2012) (17)
Stochastic Variational Principles for Dissipative Equations with Advected Quantities (2015) (17)
The Toda PDE and the geometry of the diffeomorphism group of the annulus (1996) (16)
A Class of Integrable Flows on the Space of Symmetric Matrices (2009) (16)
The affine invariant of proper semitoric integrable systems (2017) (16)
Compatibility of symplectic structures adapted to noncommutatively integrable systems (1998) (16)
Presymplectic convexity and (ir)rational polytopes (2017) (16)
Dirac and Nonholonomic Reduction (2008) (16)
Noether’s theorem for dissipative quantum dynamical semi-groups (2014) (16)
On a nonlinear equation related to the geometry of the diffeomorphism group. (1993) (15)
Extensions of Banach Lie–Poisson spaces (2003) (15)
Euler-Poincaré Approaches to Nematodynamics (2011) (15)
Maximal tori of some symplectomorphism groups and applications to convexity (1997) (15)
Geometric Mechanics and Symmetry: A Crash Course in Geometric Mechanics (T.S. Ratiu) (2005) (15)
The affine invariant of generalized semitoric systems (2013) (14)
Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems (2014) (14)
Thin layer of a non-Newtonian fluid flowing on a rough surface and percolating through a perforated obstacle (2013) (14)
On the coupling between an ideal fluid and immersed particles (2012) (14)
Geometry of non-holonomic diffusion (2012) (14)
Nematodynamics and random homogenization (2016) (13)
Fiber connectivity and bifurcation diagrams of almost toric integrable systems (2015) (13)
On the geometrical origin and the solutions of a degenerate Monge-Ampère equation (1993) (12)
Turbulence Seminar, Berkeley 1976/77 (1977) (12)
Normalizing connections and the energy-momentum method (1990) (12)
Tropical moment maps for toric log symplectic manifolds (2014) (12)
Geometry, Mechanics, and Dynamics: The Legacy of Jerry Marsden (2015) (12)
Circle-valued momentum maps for symplectic periodic flows (2012) (11)
Asymptotic Stability, Instability and Stabilization of Relative Equilibria (1991) (11)
Affine Lie–Poisson reduction, Yang–Mills magnetohydrodynamics, and superfluids (2008) (11)
The Lie-Poisson structure of the LAE-α equation (2005) (11)
Existence and Uniqueness Theorems for the Two-Dimensional Ericksen–Leslie System (2016) (11)
Group actions on chains of Banach manifolds and applications to fluid dynamics (2006) (10)
Induced and coinduced Banach Lie-Poisson spaces and integrability (2008) (10)
Cocycles, Compatibility, and Poisson Brackets for Complex Fluids (2004) (10)
Symmetry breaking for toral actions in simple mechanical systems (2003) (10)
Poisson Reduction of Controlled Hamiltonian System by Controllability Distribution (2013) (10)
Invariant frames for vector bundles and applications (2012) (10)
Hamiltonian and Feynman aspects of secondary quantization (2013) (10)
Induced Dirac structures on isotropy-type manifolds (2010) (10)
Unstable manifolds of relative equilibria in Hamiltonian systems with dissipation (2002) (10)
A local-to-global principle for convexity in metric spaces (2008) (10)
MULTISYMPLECTIC VARIATIONAL INTEGRATORS FOR NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS (2016) (10)
Exact geometric theory of dendronized polymer dynamics (2010) (9)
Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution (2012) (9)
Dynamics of charged molecular strands (2009) (9)
Hamiltonian formulation of adiabatic free boundary Euler flows (1989) (9)
Gauge invariance and variational trivial problems on the bundle of connections (2003) (9)
Introduction to Mechanics and Symmetry and Mechanics: From Newton's Laws to Deterministic Chaos (1995) (9)
Symmetry and symplectic reduction (2005) (9)
Cosphere bundle reduction in contact geometry (2002) (9)
Stability of Equilibria for the so ( 4 ) Free Rigid Body (2012) (9)
A Class of Integrable Geodesic Flows on the Symplectic Group and the Symmetric Matrices (2005) (9)
Coadjoint Orbits and the Beginnings of a Geometric Representation Theory (2011) (8)
Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold (2013) (8)
Relative equilibria near stable and unstable Hamiltonian relative equilibria (2004) (8)
Geometry of nonabelian charged fluids (2011) (8)
Cartan-Hannay-Berry phases and symmetry (1989) (8)
Cotangent bundle reduction (2005) (8)
On the smoothness of the time t-map of the KdV equation and the bifurcation of the eigenvalues of Hill's operator (1979) (8)
A Dirichlet criterion for the stability of periodic and relative periodic orbits in Hamiltonian systems (1999) (7)
Induction for weak symplectic Banach manifolds (2008) (7)
Dirac Optimal Reduction (2010) (7)
A Morse Theoretic Proof of Poisson Lie Convexity (1997) (7)
A short proof of chaos in an atmospheric system (2002) (7)
Wigner measures and quantum control (2015) (7)
Asynchronous variational Lie group integration for geometrically exact beam dynamics (2013) (7)
A multisymplectic integrator for elastodynamic frictionless impact problems (2017) (7)
The Geometric Nature of the Flaschka Transformation (2017) (7)
Convexity and integrability (1991) (7)
The dynamics around stable and unstable Hamiltonian relative equilibria (2000) (7)
Quantum anomalies and logarithmic derivatives of feynman pseudomeasures (2015) (7)
Lagrangian Reductions and Integrable Systems in Condensed Matter (2014) (6)
Approximations with curves of relative equilibria in Hamiltonian systems with dissipation (1995) (6)
Nonlinear Stability in Fluids and Plasmas (1987) (6)
Poisson Reduction by Distributions (2009) (6)
Controllability of Poisson Systems (2004) (6)
Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties (2015) (6)
The Euler equations on thin domains (2000) (6)
Attracting curves on families of stationary solutions in two‐dimensional Navier-Stokes and reduced magnetohydrodynamics (1998) (6)
Formal stability of liquid drops with surface tension (1986) (6)
On unique solvability of the full three-dimensional Ericksen–Leslie system (2016) (6)
Homogenization of the equations of dynamics of nematic liquid crystals with inhomogeneous density (2012) (5)
The U (n) free rigid body: Integrability and stability analysis of the equilibria (2015) (5)
An almost Poisson structure for the generalized rigid body equations (2000) (5)
A candidate maximal torus in infinite dimensions (1992) (5)
An infinite-dimensional point of view on the Weil-Petersson metric (1991) (4)
Existence and uniqueness theorems for the full three-dimensional Ericksen–Leslie system (2017) (4)
Spectral equations for the long wave limit of the Toda lattice equations (1990) (4)
Momentum Maps and Stochastic Clebsch Action Principles (2017) (4)
The universal covering and covered spaces of a symplectic Lie algebra action (2005) (4)
Group-valued momentum maps for actions of automorphism groups (2020) (4)
Integrable G-strands on semisimple Lie groups (2013) (4)
Extensions of Lie–Rinehart algebras and cotangent bundle reduction (2008) (4)
Integrable Systems of Neumann Type (2015) (4)
Curvature of the Virasoro-Bott group (1998) (3)
Bi-Jacobi fields and Riemannian cubics for left-invariant $SO(3)$ (2016) (3)
Convexity of singular affine structures and toric-focus integrable Hamiltonian systems (2017) (3)
THE RELATION BETWEEN LOCAL AND GLOBAL DUAL PAIRS (2003) (3)
Symplectic bifurcation theory for integrable systems (2011) (3)
Some remarks on a certain class of axisymmetric fluids of differential type (2004) (3)
Invariant generators for generalized distributions (2009) (3)
Stability of equilibria for the $\operatorname{SO}(4)$ free rigid body (2008) (3)
Singular cosphere bundle reduction (2005) (3)
On a maximal torus in the volume-preserving diffeomorphism group of the finite cylinder (1997) (3)
The rigid body dynamics on SO ( 4 ) (2008) (3)
The Banach Poisson geometry of the infinite Toda lattice (2003) (3)
An Introduction to Lie Groups (1999) (2)
Manifolds, Vector Fields, and Differential Forms (1999) (2)
Noether theorems and quantum anomalies (2016) (2)
Mechanical SystemsMechanical systems : Symmetries and Reduction (2012) (2)
Coadjoint orbits in duals of Lie algebras with admissible ideals (2017) (2)
Lie-Poisson and Euler-Poincaré Reduction (1999) (2)
L 2 -cohomology and complete Hamiltonian manifolds (2014) (2)
Banach Spaces and Differential Calculus (1988) (2)
variational integrator for a geometrically exact beam in (2014) (2)
Euler – Poincaré Equations in Geophysical Fluid Dynamics 3 1 Introduction (2002) (2)
Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations (2008) (2)
Existence, Uniqueness and Regularity of Solutions for a Thermomechanical Model of Shape Memory Alloys (2006) (2)
Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type (2020) (2)
Euler-Poincaré and Lie-Poisson Reduction (1994) (2)
Representations of Lie Groups and Supergroups (2013) (2)
Applying Hodge theory to detect Hamiltonian flows (2010) (2)
A Class of Integrable Geodsic Flows on the Symplectic Group (2005) (2)
Appendix to Lecture I: Bifurcations, semiflows, and navier-stokes equations (1977) (2)
On the symmetry breaking phenomenon (2006) (2)
Hamiltonian reduction of diffeomorphism-invariant field theories (1996) (1)
Point vortices on the sphere: a case with opposite vorticities (2017) (1)
Formal stability of two-dimensional self-gravitating rotating disks (1989) (1)
Quantum Anomalies via Differential Properties of Lebesgue–Feynman Generalized Measures (2020) (1)
Mechanical Systems: Symmetries and Reduction (2009) (1)
Metric convexity in the symplectic category (2006) (1)
Equivalent Theories of Liquid Crystal Dynamics (2013) (1)
The Lie-Poisson structure of the LAE-$\alpha$ equation (2005) (1)
Asynchronous variational integrators as a mechanical tool for dimensioning thin-shell structures (2011) (1)
Lie-Poisson spaces and reduction (2002) (1)
Hamiltonian structure and stability analysis of a reduced four-field model for plasmas in the presence of a strong guide field (2012) (1)
Special Volume on Poisson Geometry (2009) (1)
Introduction to Geometric Mechanics and AVI (2010) (1)
Symplectic induction, prequantum induction, and prequantum multiplicities (2020) (1)
The Clebsch Representation in Optimal Control and Low Rank Integrable Systems (2016) (1)
On the Eringen model for nematic liquid crystals (2021) (1)
Poisson reduction (2005) (1)
The Banach Poisson geometry of multi-diagonal Toda lattices (2007) (1)
Invariant generators for generalized distributions and applications (2009) (1)
Polygonal vortex configurations (1996) (1)
Haretu's contribution to the $N$-body problem (1985) (1)
Critical point theory and Hamiltonian dynamics around critical elements (2001) (1)
Banach Lie-Poisson spaces (2005) (1)
On the diameter of the symplectomorphism group of the ball (1991) (1)
Algebraic Complete Integrability of the Bloch–Iserles System (2015) (1)
Lectures on Poisson geometry : proceedings of the summer school on Poisson geometry : ICTP, Trieste, 2005 (2010) (1)
The Geometry of Hamiltonian systems : proceedings of a workshop held June 5-16, 1989 (1991) (1)
The group of Fourier integral operators as symmetry group (1984) (1)
Hamiltonian structures in the quantum theory of Hamilton-Dirac systems (2015) (1)
Integrable systems in planar robotics (2019) (1)
Correction to ``Hamiltonian Hopf Bifurcation with Symmetry'' (2003) (1)
Trivial Lagrangians on connections and invariance under automorphisms (2001) (1)
Lie group and Lie algebra variational integrators for flexible beam and plate in R3 (2012) (1)
Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation (2015) (0)
Nonexistence of smooth solutions for a full viscous isentropic liquid crystal system in three dimensions (2014) (0)
2 6 Se p 20 06 Openness and convexity for momentum maps (2008) (0)
Potential Energy of Elastic Pendulum (2009) (0)
Geometry, Mechanics, and Dynamics (2015) (0)
Wigner measures and quantum control (2015) (0)
Euler-Poincaré Approaches to Nematodynamics (2012) (0)
Invariant Higher-Order Variational Problems (2011) (0)
Applications of Lagrangian reduction to condensed matter (2012) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 55 / 2006 Infinite-Dimensional Lie Theory (2007) (0)
Geometry and analysis in physical systems; papers presented in honour of Darryl D Holm's 60th birthday (2008) (0)
Quantum anomalies and logarithmic derivatives of feynman pseudomeasures (2015) (0)
ASYMPTOTIC STABILITY , INSTABILITY STABILIZATION RELATIVE (0)
Morse Families and Lagrangian Submanifolds (2016) (0)
Relations on monoids and realization theory for dynamic systems (1977) (0)
THE MOMENTUM MAP IN POISSON GEOMETRY By RUI LOJA FERNANDES, JUAN-PABLO ORTEGA, and TUDOR S. RATIU (2009) (0)
Lagrangian Mechanics (2021) (0)
Remembering Jerry Marsden (2010) (0)
Convexity Methods in Hamiltonian Mechanics (Ivar Ekeland) (1992) (0)
Homogenization of the equations of dynamics of nematic liquid crystals with inhomogeneous density (2012) (0)
Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold (2013) (0)
Reduced Variational Formulations in Free Boundary Continuum Mechanics (2012) (0)
Computation and Properties of Momentum Maps (1999) (0)
Flexible beam in R3 under large overall motions and Asynchronous Variational Integrators (2011) (0)
Smale's topological program in mechanics and convexity (1993) (0)
The Banach Poisson geometry of multi-diagonal Toda-like lattices (2003) (0)
A Fluid Problem with Navier-Slip Boundary Conditions (2004) (0)
Symetry methods in geometrics mechanics (2015) (0)
Variational Principles, Constraints, and Rotating Systems (1999) (0)
Hamiltonian and Feynman aspects of secondary quantization (2013) (0)
2 3 N ov 2 00 5 Openness and convexity for momentum maps (2008) (0)
AVI as a Mechanical Tool for Studying Dynamic and Static Euler-Bernoulli Beam Structures (2010) (0)
Wigner quantization of Hamilton-Dirac systems (2015) (0)
The diameter of the symplectomorphism is infinite (1991) (0)
1 . 4 Topologies and metrics (2013) (0)
POISSON 2008: POISSON GEOMETRY IN MATHEMATICS AND PHYSICS (2008) (0)
The Ring of Invariants for Smooth Completions of Kac-Moody Lie Algebras (1995) (0)
Geometric mechanics techniques in image registration (2015) (0)
Symmetries for Dynamical and Hamiltonian Systems (By H. M. M. ten Eikelder) (1987) (0)
Regular Symplectic Reduction Theory (2004) (0)
HARETU AND THE STABILITY OF THE SOLAR SYSTEM (2009) (0)
Singular Reduction and the Stratification Theorem (2004) (0)
Hamiltonian structures in the quantum theory of Hamilton-Dirac systems (2015) (0)
Erratum to: Integrable Systems of Neumann Type (2016) (0)
Tensors and Manifolds (Robert H. Wasserman) (1993) (0)
Lie Group Actions (2004) (0)
Hamiltonian Systems on Symplectic Manifolds (1999) (0)
Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution (2012) (0)
Edinburgh Research Explorer Moduli spaces of toric manifolds (2018) (0)
Quantum control via Wigner measures and Wigner functions (2014) (0)
Remembering Jerry Marsden (1942-2010) (2012) (0)
Ju n 20 06 Openness and convexity for momentum maps (2008) (0)
Controllability of reduced systems (2002) (0)
Bifurcation diagram for the Kovalevskaya case on the lie algebra so(4) (2012) (0)
The rigid body dynamics on $\operatorname{SO}(4)$ (2008) (0)
Self-Consistent Multiscale Theory of Internal Wave, Mean-Flow Interactions (1999) (0)
Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems (2014) (0)
Nonexistence of smooth solutions for the general compressible Ericksen -- Leslie equations in three dimensions (2012) (0)
Stability, bifurcation, and control of Hamiltonian systems (1993) (0)
Perspectives in fluid dynamics - Introduction (2008) (0)
Integrable Systems of Neumann Type (2013) (0)
18 S ep 2 00 6 Metric convexity in the symplectic category (2006) (0)
The Free Rigid Body (1999) (0)
Invariant frames for vector bundles and applications (2011) (0)
Wigner Measures and Coherent Quantum Control (2021) (0)
Lagrangian Reductions and Integrable Systems in Condensed Matter (2015) (0)
Local normal forms of dynamical systems with a singular underlying geometric structure (2019) (0)
The Standard Momentum Map (2004) (0)
Wigner quantization of Hamilton-Dirac systems (2015) (0)
The Fast-Superfast Transition in the Sleeping Lagrange Top (2015) (0)
Generalizations of the Momentum Map (2004) (0)
Euler^PoincareReduction on Principal Bundles (2001) (0)
The tropical momentum map: a classification of toric log symplectic manifolds (2016) (0)
The Banach Poisson geometry of multi-diagonal semi-infinite Toda-like lattices (2003) (0)
Integration on Manifolds (1988) (0)
Invariant Higher-Order Variational Problems II (2012) (0)
Interlude: Manifolds, Vector Fields, and Differential Forms (1994) (0)
Double bracket flows, toda flows and rigid body toda (2013) (0)
Symplectic *versus* Prequantum Induction. (2020) (0)
Title The U ( n ) free rigid body rigid body : Integrability and stabilityanalysis of the equilibria (2019) (0)
Thin layer of a non-Newtonian fluid flowing on a rough surface and percolating through a perforated obstacle (2013) (0)
Moduli spaces of toric manifolds (2013) (0)
Proof of the Analyticity of the Poincar E Elements (2000) (0)
SG ] 3 1 A ug 2 00 5 Cotangent bundle reduction (2008) (0)
Triple collision dynamics in chaotic photoionization of planar helium (2012) (0)
Vector Fields and Dynamical Systems (1988) (0)
Noether theorems and quantum anomalies (2017) (0)
Mechanical Systems: Symmetry and Reduction (2009) (0)
Obituary: Jerry Marsden (2011) (0)
Manifolds and Vector Bundles (1988) (0)
Special volume on Poisson geometry. Preface (2009) (0)
Discrete variational Lie group formulation of geometrically exact beam dynamics (2014) (0)
Erratum to: Integrable Systems of Neumann Type (2017) (0)
Completeness and projective limits of metric spaces (1972) (0)
Poisson geometry of the infinite Toda lattice (2008) (0)
Manifolds and Smooth Structures (2004) (0)
Lie-Poisson- und Euler-Poincaré-Reduktion (2001) (0)
Dynamics of particles with anisotropic mass depending on time and position (2015) (0)
The Geometric Nature of the Flaschka Transformation (2017) (0)
AVI as a mechanical tool for studying thin-shells based on Kirchhoff-Love constraints (2010) (0)
A ug 2 00 5 Poisson reduction (2005) (0)
SG ] 2 0 O ct 2 00 3 Extensions of Banach Lie-Poisson spaces (2008) (0)
D S ] 2 6 A pr 2 00 4 Asymptotic and Lyapunov stability of Poisson equilibria Juan – (2008) (0)
Hamiltonian Systems on Linear Symplectic Spaces (1999) (0)
On the completeness of uniform Schwartz-spaces (1972) (0)
Asymptotic and Lyapunov stability of Poisson equilibria (2004) (0)
Realizing the Teichmüller space as a symplectic quotient (2019) (0)
Existence and Uniqueness Theorems for the Two-Dimensional Ericksen–Leslie System (2016) (0)
Quantum Anomalies and Logarithmic Derivatives (2016) (0)
Pseudogroups and Groupoids (2004) (0)
APPLIED NONLINEAR STOCHASTIC DYNAMICS (1999) (0)
Cartan-Hannay-Berry Phases and Symmetry 1 (2005) (0)

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What Schools Are Affiliated With Tudor Ratiu?

Tudor Ratiu is affiliated with the following schools:

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