Nonlinear Dynamics and Chaos

Steven H. Strogatz s "Nonlinear Dynamics and Chaos, " second edition, 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 sys [...]
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Steven H. Strogatz s "Nonlinear Dynamics and Chaos, " second edition, 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. The "Student Solutions Manual, " by Mitchal Dichter, includes solutions to the odd-numbered exercises featured in "Nonlinear Dynamics and Chaos, " second edition. Complete with graphs and worked-out solutions, the "Student Solutions Manual" demonstrates techniques for students to analyze differential equations, bifurcations, chaos, fractals, and other subjects explored in Strogatz s popular book."