Steven strogatz nonlinear dynamics and chaos solutions pdf

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steven strogatz nonlinear dynamics and chaos solutions pdf

SFU Math , Dynamical Systems: Documents and Homework

Some exercises and solutions S. Strogatz Nonlinear dynamics and chaos Dominik Zobel dominik. Please note: The following exercises should but mustnt be correct. If you are convinced to have found an error, feel free to contact me. This work is licensed under the Creative Commons Attribution 3. A Geometric Way of Thinking. Fixed Points and Stability.
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Published 29.12.2018

Steven Strogatz - Nonlinear Dynamics and Chaos: Part 1

Nonlinear Dynamics and Chaos with Student Solutions Manual (2nd ed.)

This textbook 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. A unique feature of the book is its emphasis on applications. 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. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.

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This textbook 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. A unique feature of the book is its emphasis on applications. 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. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.

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