Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The theory is developed systematically,…
Specifikacia Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. 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.A unique feature of the book is its emphasis on applications. The presentation stresses analytical methods, concrete examples, and geometric intuition.
In each case, the scientific background is explained at an These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages.
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