Download E-books Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering (Studies in Nonlinearity) PDF

By Steven H. Strogatz

This textbook is aimed toward newbies to nonlinear dynamics and chaos, specifically scholars taking a primary path within the topic. The presentation stresses analytical equipment, concrete examples and geometric instinct. the speculation is built systematically, beginning with first-order differential equations and their bifurcations, by way of section aircraft research, restrict cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, interval doubling, renormalization, fractals, and unusual attractors.A exact function of the e-book is its emphasis on purposes. those contain mechanical vibrations, lasers, organic rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic regulate platforms, chaotic waterwheels, or even a strategy for utilizing chaos to ship mystery messages. In each one case, the medical history is defined at an trouble-free point and heavily built-in with the mathematical theory.Richly illustrated, and with many workouts and labored examples, this publication is perfect for an introductory path on the junior/senior or first-year graduate point. it's also excellent for the scientist who has no longer had formal guide in nonlinear dynamics, yet who now wants to commence casual research. the necessities are multivariable calculus and introductory physics.

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