Nonlinear Dynamics and Chaos, 2E by Steven H. Strogatz
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About this book :-
Nonlinear Dynamics and Chaos, 2E written by
Steven H. Strogatz
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.
In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting fields as systems biology, evolutionary game theory, and socio-physics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as curiosities of visual perception and the tumultuous love dynamics in Gone with the Wind.
Book Detail :-
Title: Nonlinear Dynamics and Chaos
Edition: 2nd
Author(s): Steven H. Strogatz
Publisher: CRC Press
Series:
Year: 2015
Pages: 532
Type: PDF
Language: English
ISBN: 9780813349107
Country: US
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About Author :-
The author Steven Strogatz is the Jacob Gould Schurman Professor of Applied Mathematics at Cornell University. A renowned teacher and one of the world’s most highly cited mathematicians, he has blogged about math for the New York Times and The New Yorker and has been a frequent guest on Radiolab and Science Friday. He is the author of Sync and The Joy of x. He lives in Ithaca, New York.
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Book Contents :-
Nonlinear Dynamics and Chaos, 2E written by
Steven H. Strogatz
cover the following topics.
1. Introduction
2. Flows on the Line
3. Bifurcations
4. Flows on the Circle
5. Linear Systems
6. Phase Plane
7. Limit Cycles
8. Bifurcations Revisited
9. Lorenz Equations
10. One-Dimensional Maps
11. Fractals
12. Strange Attractors
Index
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