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Chaos: From Theory to Applications

Chaos: From Theory to Applications

Paperback

Technology & EngineeringGeneral MathematicsPhysics

ISBN10: 1461364825
ISBN13: 9781461364825
Publisher: Springer
Published: Oct 6 2012
Pages: 274
Weight: 0.92
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English
Based on chaos theory two very important points are clear: (I) random- looking aperiodic behavior may be the product of determinism, and (2) nonlinear problems should be treated as nonlinear problems and not as simplified linear problems. The theoretical aspects ofchaos have been presented in great detail in several excellent books published in the last five years or so. However, while the problems associated with applications of the theory-such as dimension and Lyapunov exponentsestimation, chaosand nonlinear pre- diction, and noise reduction-have been discussed in workshops and ar- ticles, they have not been presented in book form. This book has been prepared to fill this gap between theory and ap- plicationsand to assist studentsand scientists wishingto apply ideas from the theory ofnonlinear dynamical systems to problems from their areas of interest. The book is intended to be used as a text for an upper-level undergraduate or graduate-level course, as well as a reference source for researchers. My philosophy behind writing this book was to keep it simple and informative without compromising accuracy. I have made an effort to presentthe conceptsby usingsimplesystemsand step-by-stepderivations. Anyone with an understanding ofbasic differential equations and matrix theory should follow the text without difficulty. The book was designed to be self-contained. When applicable, examples accompany the theory. The reader will notice, however, that in the later chapters specific examples become less frequent. This is purposely done in the hope that individuals will draw on their own ideas and research projects for examples.

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