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Nonlinear dynamics and Chaos : with applications to physics, biology, chemistry and engineering Steven H. Strogatz

By: Material type: TextTextPublication details: New York : CRC Press., c2015Edition: 2nd edDescription: xi, 498 p. : ill. ; 24 cmISBN:
  • 9781138329454
Subject(s): DDC classification:
  • 501.185  STR
Contents:
1. Overview 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
Summary: 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.
List(s) this item appears in: New Arrivals Oct-Nov 2021 - Central Library IIITDMK
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Books Books IIITDM Kurnool General Stacks Non-fiction 501.185 STR (Browse shelf(Opens below)) Available 0003683
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Reference Reference IIITDM Kurnool Reference Reference 501.185 STR (Browse shelf(Opens below)) Reference 0003707

1. Overview 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

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.

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