Analysis and Simulation of Chaotic Systems
โ Scribed by Frank C. Hoppensteadt (auth.)
- Publisher
- Springer New York
- Year
- 1993
- Tongue
- English
- Leaves
- 320
- Series
- Applied Mathematical Sciences 94
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Oscillations of Linear Systems....Pages 3-26
Free Oscillations....Pages 27-88
Stability of Nonlinear Systems....Pages 89-116
Algebraic and Topological Aspects of Nonlinear Oscillations....Pages 117-136
Front Matter....Pages 137-137
Regular Perturbation Methods....Pages 139-156
Forced Oscillations....Pages 157-188
Methods of Averaging....Pages 189-235
Quasistatic-State Methods....Pages 236-287
Back Matter....Pages 288-306
โฆ Subjects
Analysis
๐ SIMILAR VOLUMES
Designed to be used at the graduate level in applied mathematics, studying mathematical analysis and computer simulation of dynamical systems. Computations and computer simulations are used throughout to illustrate the phanomena discussed and to supply readers with probes for use on new problems. 74
Beginning with ordinary language models or realistic mathematical models of physical or biological phenomena, the author derives tractable mathematical models that are amenable to further mathematical analysis or to elucidating computer simulations. For the most part, derivations are based on pertu