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A short history of dynamical systems theory: 1885- 2007
Philip Holmes
- 01 Jan 2007
About: The article was published on 01 Jan 2007. and is currently open access. The article focuses on the topics: Dynamical systems theory.
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Citations
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TL;DR: This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
John Guckenheimer,Philip Holmes,M. Slemrod +2 more
- 01 Aug 1983
TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
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Mathematical Methods of Classical Mechanics
Vladimir I. Arnold
- 01 Jan 1974
TL;DR: In this paper, Newtonian mechanics: experimental facts investigation of the equations of motion, variational principles Lagrangian mechanics on manifolds oscillations rigid bodies, differential forms symplectic manifolds canonical formalism introduction to pertubation theory.
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A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
J. Guckenheimer,P. J. Holmes +1 more
- 01 Jan 2015
TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
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Ordinary differential equations
Philip Hartman
- 01 Jan 1964
TL;DR: In this article, the Poincare-Bendixson theory is used to explain the existence of linear differential equations and the use of Implicity Function and fixed point Theorems.
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