Overview

This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.Contents: Chaos before Chaos: Frequency Demultiplication (B Van der Pol & J Van der Mark) Description and Quantification of Chaotic Behavior: Geometry from a Time Series (N H Packard et al.) Analytical Methods: A Partial Differential Equation with Infinitely Many Periodic Orbits: Chaotic Oscillations of a Forced Beam (P Holmes & J Marsden) Classical Nonlinear Oscillators: Duffing, Van der Pol and Pendulum: Universal Scaling Property in Bifurcation Structure of Duffing's and Generalized Duffing's Equations (S Sato et al.) Other Oscillatory Systems: Complex Dynamics of Compliant Off-Shore Structures (J M T Thompson) Chaos in Noisy Systems: Fluctuations and the Onset of Chaos (J P Crutchfield & B A Huberman) Strange Nonchaotic Attractors: Dimensions of Strange Nonchaotic Attractors (M Ding et al.) Spatial Chaos: Chaos as a Limit in a Boundary Value Problem (C Kahlert & O E Rossler) Fractal Basin Boundaries: Fractal Basin Boundaries and Homoclinic Orbit for Periodic Motion in a Two-Well Potential (F C Moon & G-H Li) and other papersReadership: Nonlinear scientists, applied mathematicians, engineers and physicists.

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9781299671119

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