Nonlinear Dynamics and Chaos with Student Solutions Manual: With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition

✍ Scribed by Steven H. Strogatz (Author)

• Publisher: CRC Press
• Year: 2018
• Leaves: 935
• Edition: 2
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Overview. One-Dimensional Flows. Flows on the Line. Bifurcations. Flows on the Cycle. Two-Dimensional Flows. Linear Systems. Phase Plane. Limit Cycles. Bifurcations Revisited. Chaos. Lorenz Equations. One-Dimensional Maps. Fractals.

✦ Subjects

Mathematics & Statistics;Advanced Mathematics