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

By Steven H. Strogatz

This textbook is geared toward beginners to nonlinear dynamics and chaos, particularly scholars taking a primary path within the topic. The presentation stresses analytical tools, concrete examples, and geometric instinct. the speculation is built systematically, beginning with first-order differential equations and their bifurcations, through part aircraft research, restrict cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, interval doubling, renormalization, fractals, and weird attractors.

A specific function of the publication is its emphasis on functions. those comprise mechanical vibrations, lasers, organic rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic keep an eye on platforms, chaotic waterwheels, or even a strategy for utilizing chaos to ship mystery messages. In each one case, the clinical history is defined at an user-friendly point and heavily built-in with mathematical theory.

In the two decades because the first version of this publication seemed, the information and strategies of nonlinear dynamics and chaos have discovered program to such fascinating new fields as structures biology, evolutionary online game concept, and sociophysics. This moment variation comprises new workouts on those state-of-the-art advancements, on subject matters as assorted because the curiosities of visible notion and the tumultuous love dynamics in long past With the Wind.

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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Studies in Nonlinearity) by Steven H. Strogatz

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