Results 271 to 280 of about 1,833,044 (301)

Dynamical Systems and Differential Equations

2015
In this chapter, we review some basic topics in the theory of ordinary differential equations from the viewpoints of the global geometrical approach which is a base to develop the energy flow analysis for NDS. In the first two sections the review of basic theory for dynamical systems and differential equations is rapid.
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Differential Equations and System Dynamics

2014
In Chapter 5, we saw how we can simulate a continuous process given by the update equations which define the rate of change of the process in terms of the current and previous values of the process. A real world system is a combination of interdependent processes which may be hidden or visible to the outside world.
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Dynamical Systems Analysis Using Differential Geometry

2006
This paper aims to analyze trajectories behavior and attractor structure of chaotic dynamical systems with the Differential Geometry and Mechanics formalism. Applied to slow-fast autonomous dynamical systems (S-FADS), this approach provides: on the one hand a kinematics interpretation of the trajectories motion, and on the other hand, a direct ...
J.-M Ginoux, B. Rossetto
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Differential Equations and Dynamical Systems

2012
Henri Poincare presented his thesis to the Faculte des Sciences of the University of Paris to obtain the degree of doctor of mathematical sciences. The title: “Sur les proprietes des fonctions definies par les equations aux differences partielles.” It was accepted on August 1, 1879, by a committee consisting of J.-C. Bouquet (chairman), P.-O.
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Introduction: Differential Equations and Dynamical Systems

1983
In this introductory chapter we review some basic topics in the theory of ordinary differential equations from the viewpoint of the global geometrical approach which we develop in this book. After recalling the basic existence and uniqueness theorems, we consider the linear, homogeneous, constant coefficient system and then introduce nonlinear and time-
John Guckenheimer, Philip Holmes
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DIFFERENTIAL GEOMETRY APPLIED TO DYNAMICAL SYSTEMS DIFFERENTIAL GEOMETRY APPLIED TO DYNAMICAL SYSTEMS

2009
This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory — or the flow — may be analytically computed.
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Ergodic Theory of Differentiable Dynamical Systems

, 1995
L. Young
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Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems

, 1983
L. Young
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Dimension, entropy and Lyapunov exponents in differentiable dynamical systems

, 1984
L. Young
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On Inverse Full State Hybrid Function Projective Synchronization For Continuous-time Chaotic Dynamical Systems with Arbitrary Dimensions

, 2020
A. Ouannas, A. Azar, T. Ziar
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