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Nonlinear Dynamics and Chaos2nd EditionSteven H. Strogatz Publisher: PERSEUS DISBN: 9780813349107
Nonlinear Dynamics and Chaos
Browse All Chapters of This Textbook
Chapter 2.1 - A Geometric Way Of ThinkingChapter 2.2 - Fixed Points And StabilityChapter 2.3 - Population GrowthChapter 2.4 - Linear Stability AnalysisChapter 2.5 - Existence And UniquenessChapter 2.6 - Impossibility Of OscillationsChapter 2.7 - PotentialsChapter 2.8 - Solving Equations On The ComputerChapter 3.1 - Saddle-node BifurcationChapter 3.2 - Transcritical Bifurcation
Chapter 3.3 - Laser ThresholdChapter 3.4 - Pitchfork BifurcationChapter 3.5 - Overdamped Bead On A Rotating HoopChapter 3.6 - Imperfect Bifurcations And CatastrophesChapter 3.7 - Insect OutbreakChapter 4.1 - Examples And DefinitionsChapter 4.2 - Uniform OscillatorChapter 4.3 - Nonuniform OscillatorChapter 4.4 - Overdamped PendulumChapter 4.5 - FirefliesChapter 4.6 - Superconducting Josephson JunctionsChapter 5.1 - Definitions And ExamplesChapter 5.2 - Classification Of Linear SystemsChapter 5.3 - Love AffairsChapter 6.1 - Phase PortraitsChapter 6.2 - Existence, Uniqueness, And Topological ConsequencesChapter 6.3 - Fixed Points And LinearizationChapter 6.4 - Rabbits Versus SheepChapter 6.5 - Conservative SystemsChapter 6.6 - Reversible SystemsChapter 6.7 - PendulumChapter 6.8 - Index TheoryChapter 7.1 - ExamplesChapter 7.2 - Ruling Out Closed OrbitsChapter 7.3 - Poincaré−bendixson TheoremChapter 7.4 - Liénard SystemsChapter 7.5 - Relaxation OscillationsChapter 7.6 - Weakly Nonlinear OscillatorsChapter 8.1 - Saddle-node, Transcritical, And Pitchfork BifurcationsChapter 8.2 - Hopf BifurcationsChapter 8.3 - Oscillating Chemical ReactionsChapter 8.4 - Global Bifurcations Of CyclesChapter 8.5 - Hysteresis In The Driven Pendulum And Josephson JunctionChapter 8.6 - Coupled Oscillators And QuasiperiodicityChapter 8.7 - Poincaré MapsChapter 9.1 - A Chaotic WaterwheelChapter 9.2 - Simple Properties Of The Lorenz EquationsChapter 9.3 - Chaos On A Strange AttractorChapter 9.4 - Lorenz MapChapter 9.5 - Exploring Parameter SpaceChapter 9.6 - Using Chaos To Send Secret MessagesChapter 10.1 - Fixed Points And CobwebsChapter 10.2 - Logistic Map: NumericsChapter 10.3 - Logistic Map: AnalysisChapter 10.4 - Periodic WindowsChapter 10.5 - Liapunov ExponentChapter 10.6 - Universality And ExperimentsChapter 10.7 - RenormalizationChapter 11.1 - Countable And Uncountable SetsChapter 11.2 - Cantor SetChapter 11.3 - Dimension Of Self-similar FractalsChapter 11.4 - Box DimensionChapter 11.5 - Pointwise And Correlation DimensionsChapter 12.1 - The Simplest ExamplesChapter 12.2 - Hénon MapChapter 12.3 - Rössler SystemChapter 12.4 - Chemical Chaos And Attractor ReconstructionChapter 12.5 - Forced Double-well Oscillator
Book Details
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.
Sample Solutions for this Textbook
We offer sample solutions for Nonlinear Dynamics and Chaos homework problems. See examples below:
From the given differential equation x˙=x(1-x), the variable x˙ explicitly depends on x and...Given information: dxdτ = rx (1- xk) - x21 + x2 The given expression is dimensionless for budworm...Josephson junctions are superconducting devices that are capable of generating voltage oscillations...The forecast for lovers is governed by the general linear system R˙= aR+bJ And J˙= cR+dJ Here, R˙ is...Following fixed points have an index equal to +1. Sketch for the stable spiral, The above sketch...The power series expansion of the function f(x)= an(x- c)n is given as, ∑0∞an(x - c)n=a0+ a1(x- c)+...Let r0 be an initial condition on the surface curve S. Since θ˙ = 1 the first return to S occurs...a) V˙=−e22−4be32 e2 and e3 are error dynamic terms. The given condition is V˙≤−kV Putting...The function equation arose in renormalization equation is, g(x) = αg2(xa) The power series...
More Editions of This Book
Corresponding editions of this textbook are also available below:
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
NONLINEAR DYNAMICS & CHAOS
2nd Edition
ISBN: 9780813350844
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