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Dynamical system

Known as: Nonlinear dynamical systems, Non-linear dynamical system, Dynamic systems 
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space. Examples include… Expand
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Papers overview

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Highly Cited
2005
Highly Cited
2005
  • A. Antoulas
  • Advances in Design and Control
  • 2005
  • Corpus ID: 117896525
Preface Part I. Introduction: 1. Introduction 2. Motivating examples Part II. Preliminaries: 3. Tools from matrix theory 4… Expand
Highly Cited
2003
Highly Cited
2003
In this chapter we will introduce methods and techniques to analyze models with stochasticity or randomness. In particular we… Expand
Highly Cited
1990
Highly Cited
1990
Preface Acknowlegement Introduction 1. An introduction to dynamical systems 2. Some non-linear time series models 3. Probability… Expand
Highly Cited
1990
Highly Cited
1990
Contents: Introduction.- Manifolds, Vectorfields, Lie Brackets, Distributions.- Controllability and Observability, Local… Expand
Highly Cited
1989
Highly Cited
1989
Equilibrium Solutions, Stability, and Linearized Stability * Liapunov Functions * Invariant Manifolds: Linear and Nonlinear… Expand
Highly Cited
1987
Highly Cited
1987
A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples. 
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Highly Cited
1986
Highly Cited
1986
Part One: One-Dimensional Dynamics Examples of Dynamical Systems Preliminaries from Calculus Elementary Definitions Hyperbolicity… Expand
Highly Cited
1984
Highly Cited
1984
1.Random Perturbations.- 2.Small Random Perturbations on a Finite Time Interval.- 3.Action Functional.- 4.Gaussian Perturbations… Expand
Highly Cited
1983
Highly Cited
1983
Contents: Introduction: Differential Equations and Dynamical Systems.- An Introduction to Chaos: Four Examples.- Local… Expand
Highly Cited
1974
Highly Cited
1974
This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain… Expand