George Roger Sell | Academic Influence

George Roger Sell's AcademicInfluence.com Rankings

George Roger Sell

Mathematics

#5232

World Rank

#7380

Historical Rank

#1741

USA Rank

Measure Theory

#1185

World Rank

#1511

Historical Rank

#430

USA Rank

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Mathematics

George Roger Sell's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is George Roger Sell Influential?

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According to Wikipedia, George Roger Sell was an American mathematician, specializing in differential equations, dynamical systems, and applications to fluid dynamics, climate modeling, control systems, and other subjects.

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George Roger Sell'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

The Hopf Bifurcation and Its Applications (1976) (1951)
Linear Operator Theory in Engineering and Science (1971) (730)
Inertial manifolds for nonlinear evolutionary equations (1988) (720)
Dynamics of Evolutionary Equations (2002) (658)
A Spectral Theory for Linear Differential Systems (1978) (491)
Existence of dichotomies and invariant splittings for linear differential systems, II☆ (1976) (362)
Growth transformations for functions on manifolds. (1968) (355)
Topological dynamics and ordinary differential equations (1971) (324)
THE POINCARE-BENDIXSON THEOREM FOR MONOTONE CYCLIC FEEDBACK SYSTEMS WITH DELAY (1996) (289)
Dichotomies for linear evolutionary equations in Banach spaces (1994) (265)
Inertial manifolds for reaction diffusion equations in higher space dimensions (1988) (262)
Navier-Stokes equations on thin 3D domains. I. Global attractors and global regularity of solutions (1993) (250)
On the computation of inertial manifolds (1988) (244)
Global attractors for the three-dimensional Navier-Stokes equations (1996) (232)
Ergodic properties of linear dynamical systems (1987) (230)
Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations (1989) (226)
Inertial Manifolds for the Kuramoto-Sivashinsky Equation and an Estimate of their Lowest Dimension (1986) (222)
NONAUTONOMOUS DIFFERENTIAL EQUATIONS AND TOPOLOGICAL DYNAMICS. I. THE BASIC THEORY (1967) (211)
Systems of Differential Delay Equations: Floquet Multipliers and Discrete Lyapunov Functions (1996) (168)
Robustness of Exponential Dichotomies in Infinite-Dimensional Dynamical Systems (1999) (158)
Lifting Properties in Skew-product Flows With Applications to Differential Equations (1977) (154)
Nonautonomous differential equations and topological dynamics. II. Limiting equations (1967) (136)
Smoothness of spectral subbundles and reducibility of quasi-periodic linear differential systems (1981) (126)
SMOOTH LINEARIZATION NEAR A FIXED POINT (1985) (120)
MELNIKOV TRANSFORMS, BERNOULLI BUNDLES, AND ALMOST PERIODIC PERTURBATIONS (1989) (97)
Smoothness of inertial manifolds (1992) (88)
Navier-Stokes equations in thin 3D domains with Navier boundary conditions (2007) (76)
The structure of a flow in the vicinity of an almost periodic motion (1978) (68)
Volterra integral equations and topological dynamics (1970) (67)
Construction of inertial manifolds by elliptic regularization (1991) (59)
Inertial manifolds : the non-self-adjoint case (1992) (56)
The spectrum of an invariant submanifold (1980) (56)
Topological Dynamics and Differential Equations (1997) (54)
Bifurcation of higher dimensional tori (1979) (52)
Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains (1992) (51)
Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains (1992) (51)
Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains (1992) (51)
Existence, uniqueness and continuity of solutions of integral equations (1968) (48)
A conservation principle and its effect on the formulation of Na-Ca exchanger current in cardiac cells. (1997) (46)
Perturbations of attractors of differential equations (1991) (43)
Periodic solutions and asymptotic stability (1966) (42)
Navier-Stokes Equations in Thin 3D Domains III: Existence of a Global Attractor (1993) (41)
On the existence of almost periodic motions. (1965) (39)
On the fundamental theory of ordinary differential equations (1965) (38)
Approximation Dynamics and the Stability of Invariant Sets (1998) (35)
Differential equations without uniqueness and classical topological dynamics (1973) (33)
Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations (1999) (32)
Finite extensions of minimal transformation groups (1974) (31)
Turbulence In Fluid Flows: A Dynamical Systems Approach (1993) (30)
The Gronwall inequality for modified Stieltjes integrals (1968) (28)
A Theory-Based Integrative Model for Learning and Motivation in Higher Education (2006) (27)
Approximation theories for inertial manifolds (1989) (26)
Attractors of Non-autonomous Parabolic Equations and Their Symmetry Properties (2000) (25)
Topological Dynamics and Its Relation to Integral Equations and Nonautonomous Systems (1976) (21)
Skew-product flows, finite extensions of minimal transformation groups and almost periodic differential equations (1973) (20)
Navier–Stokes Equations with Navier Boundary Conditions for an Oceanic Model (2010) (19)
Singular perturbations and conditional stability (1980) (19)
Stability theory and Lyapunov's second method (1963) (17)
The floquet problem for almost periodic linear differential equations (1974) (15)
Turbulence in Fluid Flows (1993) (15)
Almost periodic gross-substitute dynamical systems (1980) (14)
Needs-Assessment Information. (1978) (14)
The principle of spatial averaging and inertial manifolds for reaction-diffusion equations (1987) (13)
The Evolution of Evolutionary Equations (2002) (13)
Finding the Right Match: Staffin g Faculty Development Centers (1991) (13)
Ensemble Dynamics and Bred Vectors (2011) (12)
An organizational perspective for the effective practice of assessment (1989) (12)
Existence, uniqueness and continuity of solutions of integral equations. An addendum (1970) (11)
Almost periodic solutions of linear partial differential equations (1973) (10)
Differential Systems with Feedback: Time Discretizations and Lyapunov Functions (2003) (10)
On the existence of periodic solutions on 2-manifolds (1972) (10)
Hopf-Landau Bifurcation Near Strange Attractors (1981) (9)
Capture and control in conservative dynamical systems (1968) (9)
An Optimality Condition for Approximate Inertial Manifolds (1993) (9)
A SPECTRAL THEORY FOR LINEAR ALMOST PERIODIC DIFFERENTIAL EQUATIONS (1975) (8)
A remark on an example of R. A. Johnson (1981) (8)
A note on Anosov diffeomorphisms (1974) (8)
References on dynamical systems (1990) (7)
Homoclinic Orbits and Bernoulli Bundles in Almost Periodic Systems (1986) (7)
A note on Volterra integral equations and topological dynamics. (1968) (7)
A tauberian condition and skew product flows with applications to integral equations (1973) (7)
Making Assessment Work: A Synthesis and Future Directions. (1989) (7)
The Prodigal Integral (1977) (7)
Hausdorff and Lyapunov Dimensions for Gradient Systems (1988) (7)
Linearization and Global Dynamics (1983) (6)
Almost periodicity, Ricker map, Beverton-Holt map and others, a general method (2017) (6)
Control in conservative dynamical systems: Recurrence and capture in aperiodic fields (1974) (5)
Navier-Stokes equations in thin 3d domains: Global regularity of solutions (1990) (5)
INERTIAL MANIFOLDS FOR REACTION DIFFUSION EQUATIONS (2009) (5)
Hyperbolic almost periodic solutions and toroidal limit sets. (1977) (5)
Values and Facts in Educational Administrative Decisions (1972) (5)
Almost periodic and periodic solutions of difference equations (1966) (5)
Global attractors for the 3D Navier-Stokes equations (1994) (4)
Modulational instability and exact solutions for a three-component system of vector nonlinear Schrödinger equations (2009) (4)
TOPOLOGICAL DYNAMICAL TECHNIQUES FOR DIFFERENTIAL AND INTEGRAL EQUATIONS (1972) (4)
Chapter 6 - The Foundations of Oceanic Dynamics and Climate Modeling (2007) (4)
Perturbations of foliated bundles and evolutionary equations (2006) (4)
Scientific Computation and Mathematical Modelling. (1986) (3)
Boundedness of solutions of ordinary differential equations and Lyapunov functions (1964) (3)
Vector Fields in the Vicinity of a Compact Invariant Manifold (1983) (3)
A note on almost periodic solutions of linear partial differential equations (1973) (3)
The Construction of Inertial Manifolds for Reaction-Diffusion Equations by Elliptic Regularization (1989) (3)
Navier-Stokes equations with Navier boundary conditions in nearly flat domains (2008) (2)
On the stability of weakly hyperbolic invariant sets (2017) (2)
Announcement of Changes at the Journal of Dynamics and Differential Equations (2005) (2)
Needs Assessment in Higher Education. (1980) (2)
A Statewide Survey of Adult Learners: Program Awareness, Nonenrolled Participants and Intention to Enroll. Office of Research Technical Report No. 2. (1977) (2)
Periodic solutions of fourth-order differential equations (1966) (2)
A note on the fundamental theory of ordinary differential equations (1964) (2)
Dichotomies for differential and integral equations (1973) (2)
On the existence of nontrivial recurrent motions (1973) (2)
Instructional Evaluation for Development/Improvement: Fact or Fiction Based on a Case Study of Faculty Practices?. (1985) (2)
Special Issue 2011 (2011) (2)
On the stability of normally hyperbolic sets of smooth flows (2001) (2)
On the existence of global attractors (1998) (1)
Review: A. M. Fink, Almost periodic differential equations, and R. Reissig and G. Sansone and R. Conti, Nonlinear differential equations of higher order, and J. K. Hale, Functional differential equations (1976) (1)
A Biographical Sketch of Victor A. Pliss (2003) (1)
Mathematical problems of space rescue (1970) (1)
The Oregon Studies in Educational Research, Development, Diffusion, and Evaluational Volume III: Conceptual Frameworks for Viewing Educational RDD&E. Final Report. (1972) (1)
A biographical sketch of Robert J. Sacker (2009) (1)
Societal and Educational Projections: Analysis and Implications, Appendix B. Vol. II, A Plan for Managing the Development, Implementation and Operation of a Model Elementary Teacher Education Program. (1970) (1)
A Biography of Russell A. Johnson (2011) (1)
Counterexamples to the existence of inertial manifolds (1996) (1)
Analysis of Linear Operators (Compact Case) (1982) (1)
Set-Theoretic Structure (1982) (1)
1985 at the institute for mathematics and its applications (1985) (0)
Appendix W. Cost Analysis in Teacher Education Programs. (1968) (0)
The Center Manifold Theorem and the Structure of a Flow in the Vicinity of an Almost Periodic Motion (Local Dynamical Systems : Integral and Differential Equations) (1977) (0)
Special Issues 2008 (2008) (0)
NIH Public Access Policy; Spons (1995) (0)
Book Review: Almost periodic differential equations (1976) (0)
THE STRUCTURE OF LIMIT SETS: A SURVEY (1980) (0)
Professor Jack Hale (2010) (0)
Completion of a Metric Space (1971) (0)
Analysis of Unbounded Operators (1982) (0)
Advanced Problems: 5440-5449 (1966) (0)
Mathematical Investigationsof Models in Combustion November (1999) (0)
The stability of normally hyperbolic set of autonomous of differential equations (1996) (0)
Mathematics in High-performance Computing News and Notes Mathematical and Computational Issues in Drug Design Mathematical and Computational Issues in Drug Design Future Directions in Mathematical Sciences Grid Generation and Adaptive Algorithms Workshop Imaging of Corrosion in Plates by Eddy Curren (1997) (0)
Nonlinear Partial Differential Equations (2002) (0)
Inertial Manifolds for Navier-Stokes Equations and Related Dynamical Systems (1991) (0)
CLIMATE MODELING: A CHALLENGE FOR MATHEMATICIANS (2005) (0)
I NSTITUTE FOR M ATHEMATICS AND ITS A PPLICATIONS (2001) (0)
TURBULENCE AND HIGHER ORDER BIFURCATIONS (1981) (0)
Major Features of Dynamical Systems (2002) (0)
The institute for mathematics and its applications completes its first year (1983) (0)
Combined Topological and Algebraic Structure (1982) (0)
Metastability and Compensated Compactness in Continuum Theories. (1986) (0)
Special Issues 2007 (2007) (0)
Hyperbolic structures for linear volterra differential equations (1979) (0)
Correction to: “Periodic solutions of fourth-order differential equations” (1967) (0)
Inertial Manifolds: The Reduction Principle (2002) (0)
Basic Theory of Evolutionary Equations (2002) (0)
Dynamical Systems: Basic Theory (2002) (0)
A characterization of finite dimensional translation invariant spaces (1981) (0)
Introductory statement (1989) (0)

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