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BL
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846089
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| Main Entry
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Dichter, Mitchal
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| Title & Author
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Student Solutions Manual for Nonlinear Dynamics and Chaos, second edition /\ Michal Dichter.
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| Publication Statement
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Boca Raton, FL :: CRC Press,, 2018.
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, ©2017
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| Page. NO
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1 online resource (iv, 399 pages) :: illustrations
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| ISBN
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0429961553
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: 0429972636
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: 0813350557
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: 9780429961557
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: 9780429972638
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: 9780813350554
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9780813350547
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| Notes
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"First published 2017 by Westview Press."
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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2 Flows on the Line; 2.1 A Geometric Way of Thinking; 2.2 Fixed Points and Stability; 2.3 Population Growth; 2.4 Linear Stability Analysis; 2.5 Existence and Uniqueness; 2.6 Impossibility of Oscillations; 2.7 Potentials; 2.8 Solving Equations on the Computer; 3 Bifurcations; 3.1 Saddle-Node Bifurcation; 3.2 Transcritical Bifurcation; 3.3 Laser Threshold; 3.4 Pitchfork Bifurcation; 3.5 Overdamped Bead on a Rotating Hoop; 3.6 Imperfect Bifurcations and Catastrophes; 3.7 Insect Outbreak; 4 Flows on the Circle; 4.1 Examples and Definitions.
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10 One-Dimensional Maps10.1 Fixed Points and Cobwebs; 10.2 Logistic Map: Numerics; 10.3 Logistic Map: Analysis; 10.4 Periodic Windows; 10.5 Liapunov Exponent; 10.6 Universality and Experiments; 10.7 Renormalization; 11 Fractals; 11.1 Countable and Uncountable Sets; 11.2 Cantor Set; 11.3 Dimension of Self-Similar Fractals; 11.4 Box Dimension; 11.5 Pointwise and Correlation Dimensions; 12 Strange Attractors; 12.1 The Simplest Examples; 12.2 Hénon Map; 12.3 Rössler System; 12.4 Chemical Chaos and Attractor Reconstruction; 12.5 Forced Double-Well Oscillator.
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4.2 Uniform Oscillator4.3 Nonuniform Oscillator; 4.4 Overdamped Pendulum; 4.5 Fireflies; 4.6 Superconducting Josephson Junctions; 5 Linear Systems; 5.1 Definitions and Examples; 5.2 Classification of Linear Systems; 5.3 Love Affairs; 6 Phase Plane; 6.1 Phase Portraits; 6.2 Existence, Uniqueness, and Topological Consequences; 6.3 Fixed Points and Linearization; 6.4 Rabbits versus Sheep; 6.5 Conservative Systems; 6.6 Reversible Systems; 6.7 Pendulum; 6.8 Index Theory; 7 Limit Cycles; 7.1 Examples; 7.2 Ruling Out Closed Orbits; 7.3 Poincaré-Bendixson Theorem; 7.4 Liénard Systems.
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7.5 Relaxation Oscillations7.6 Weakly Nonlinear Oscillators; 8 Bifurcations Revisited; 8.1 Saddle-Node, Transcritical, and Pitchfork Bifurcations; 8.2 Hopf Bifurcations; 8.3 Oscillating Chemical Reactions; 8.4 Global Bifurcations of Cycles; 8.5 Hysteresis in the Driven Pendulum and Josephson Junction; 8.6 Coupled Oscillators and Quasiperiodicity; 8.7 Poincaré Maps; 9 Lorenz Equations; 9.1 A Chaotic Waterwheel; 9.2 Simple Properties of the Lorenz Equations; 9.3 Chaos on a Strange Attractor; 9.4 Lorenz Map; 9.5 Exploring Parameter Space; 9.6 Using Chaos to Send Secret Messages.
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| Abstract
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This official Student Solutions Manual includes solutions to the odd-numbered exercises featured in the second edition of Steven Strogatz's classic text Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. The textbook and accompanying Student Solutions Manual are aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. Complete with graphs and worked-out solutions, this manual demonstrates techniques for students to analyze differential equations, bifurcations, chaos, fractals, and other subjects Strogatz explores in his popular book.
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| Subject
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Chaotic behavior in systems, Problems, exercises, etc.
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Dynamics, Problems, exercises, etc.
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Nonlinear theories, Problems, exercises, etc.
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Chaotic behavior in systems.
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Dynamics.
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Nonlinear theories.
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SCIENCE-- Mechanics-- General.
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SCIENCE-- Mechanics-- Solids.
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| Dewey Classification
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531.11
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| LC Classification
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Q172.5.C45S767 2018 Suppl.
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| Added Entry
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Strogatz, Steven H., (Steven Henry).
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| Parallel Title
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Nonlinear Dynamics and Chaos
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