Unlike most other texts, which emphasize either classical methods, experiments and physics, geometrical methods, computational methods, or applied mathematics, Applied Nonlinear Dynamics blends these approaches to provide a unified treatment of nonlinear dynamics. Further, it presents mathematical concepts in a manner comprehensible to engineers and applied scientists. The synthesis of analytical, experimental, and numerical methods and the inclusion of many exercises and worked-out examples will make this the textbook of choice for classroom teaching. Moreover, the inclusion of an extensive and up-to-date bibliography will make it an invaluable text for professional reference.

PREFACE
Chapter 1: INTRODUCTION
- 1.1 Discrete-Time Systems
- 1.2 Continuous-Time Systems
- 1.3 Attracting Sets
- 1.4 Concepts of Stability
- 1.5 Attractors
- 1.6 Comments
- 1.7 Exercises
Chapter 2: EQUILIBRIUM SOLUTIONS
- 2.1 Continuous-Time Systems
- 2.2 Fixed Points of Maps
- 2.3 Bifurcations of Continuous Systems
- 2.4 Bifurcations of Maps
- 2.5 Exercises
Chapter 3: PERIODIC SOLUTIONS
- 3.1 Periodic Solutions
- 3.2 Floquet Theory
- 3.3 Poincare Maps
- 3.4 Bifurcations
- 3.5 Analytical Constructions
- 3.6 Exercises
Chapter 4: QUASIPERIODIC SOLUTIONS
- 4.1 Poincare Maps
- 4.2 Circle Map
- 4.3 Constructions
- 4.4 Stability
- 4.5 Synchronization
- 4.6 Exercises
Chapter 5: CHAOTIC SOLUTIONS
- 5.1 Maps
- 5.2 Continuous-Time Systems
- 5.3 Period-Doubling Scenario
- 5.4 Intermittency Mechanisms
- 5.5 Quasiperiodic Routes
- 5.6 Crises
- 5.7 Melnikov Theory
- 5.8 Bifurcations of Homoclinic Orbits
- 5.9 Exercises
Chapter 6: NUMERICAL METHODS
- 6.1 Continuation of Fixed Points
- 6.2 Simple Turning and Branch Points
- 6.3 Hopf Bifurcation Points
- 6.4 Homotopy Algorithms
- 6.5 Construction of Periodic Solutions
- 6.6 Continuation of Periodic Solutions
Chapter 7: TOOLS TO ANALYZE MOTIONS
- 7.1 Introduction
- 7.2 Time Histories
- 7.3 State Space
- 7.4 Pseudo-State Space
- 7.5 Fourier Spectra
- 7.6 Poincare Sections and Maps
- 7.7 Autocorrelation Functions
- 7.8 Lyapunov Exponents
- 7.9 Dimension Calculations
- 7.10 Higher-Order Spectra
- 7.11 Exercises
Chapter 8: CONTROL
- 8.1 Control of Bifurcations
- 8.2 Chaos Control
- 8.3 Synchronization
BIBLIOGRAPHY
SUBJECT INDEX

Book ISBN: 0-471-59348-6
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BOOK REVIEWS

Applied Mechanics Reviews, Vol. 48(7), July 1995
SIAM Review, Vol. 38(2), June 1996
Pure Appl. Geophysics, Vol. 150, 1997

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