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Highly Cited

2005

Highly Cited

2005

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.

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