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Dynamical systems with applications using mathematica / Stephen Lynch.

By: Material type: TextTextPublication details: Boston : Birkhauser, c2007.Description: xv, 484 p. : ill. ; 24 cmISBN:
  • 9780817644826 (pbk.)
Subject(s): DDC classification:
  • 515.39 23 L987
Contents:
Preface 0 A Tutorial Introduction to Mathematica 1. Differential Equations 3. Planar Systems 4. Interacting Species 5. Limit Cycles 6. Hamiltonian Systems, Lyapunov Functions, and Stability 6. Bifurcation Theory 7. Three-Dimensional Autonomous Systems and Chaos 8. Poincare Maps and Nonautonomous Systems in the Plane 9. Local and Global Bifurcations 10. The Second Part of David Hilbert's Sixteenth Problem 11. Linear Discrete Dynamical Systems 12. Nonlinear Discrete Dynamical Systems 13. Complex Iterative Maps 14. Electromagnetic Waves and Optical Resonators 15. Fractals and Multifractals 16. Chaos Control and Synchronization 17. Neural Networks 18. Examination-Type Questions 19. Solutions to Exercises References Mathematica Program Index Index.
Summary: "The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering, Many chapters of the book are especially useful as reference material for senior undergraduate independent project work."--Jacket.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.39 L987 (Browse shelf(Opens below)) Available 135733
Total holds: 0

Includes bibliographical references and index.

Preface
0 A Tutorial Introduction to Mathematica
1. Differential Equations
3. Planar Systems
4. Interacting Species
5. Limit Cycles
6. Hamiltonian Systems, Lyapunov Functions, and Stability
6. Bifurcation Theory
7. Three-Dimensional Autonomous Systems and Chaos
8. Poincare Maps and Nonautonomous Systems in the Plane
9. Local and Global Bifurcations
10. The Second Part of David Hilbert's Sixteenth Problem
11. Linear Discrete Dynamical Systems
12. Nonlinear Discrete Dynamical Systems
13. Complex Iterative Maps
14. Electromagnetic Waves and Optical Resonators
15. Fractals and Multifractals
16. Chaos Control and Synchronization
17. Neural Networks
18. Examination-Type Questions
19. Solutions to Exercises
References
Mathematica Program Index
Index.

"The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering, Many chapters of the book are especially useful as reference material for senior undergraduate independent project work."--Jacket.

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