Download Nonlinear Dynamics and Chaos: With Applications to Physics, by Steven H. Strogatz PDF

By Steven H. Strogatz

This textbook is aimed toward rookies to nonlinear dynamics and chaos, specifically scholars taking a primary direction within the topic. The presentation stresses analytical tools, concrete examples, and geometric instinct. the speculation is constructed systematically, beginning with first-order differential equations and their bifurcations, through section airplane research, restrict cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, interval doubling, renormalization, fractals, and weird attractors.

A exact characteristic of the booklet is its emphasis on functions. those contain mechanical vibrations, lasers, organic rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic regulate structures, chaotic waterwheels, or even a method for utilizing chaos to ship mystery messages. In each one case, the clinical heritage is defined at an uncomplicated point and heavily built-in with mathematical theory.

In the 20 years because the first version of this ebook seemed, the guidelines and strategies of nonlinear dynamics and chaos have discovered software to such fascinating new fields as platforms biology, evolutionary online game idea, and sociophysics. This moment variation comprises new routines on those state of the art advancements, on issues as different because the curiosities of visible belief and the tumultuous love dynamics in long past With the Wind.

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