A Smooth and Discontinuous Oscillator - Theory, Methodology and Applications (Hardcover, 1st ed. 2017)

This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in this book represents a further milestone in nonlinear dynamics, following on the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963. This particular system bears significant similarities to the Duffing oscillator, exhibiting the standard dynamics governed by the hyperbolic structure associated with the stationary state of the double well. However, there is a substantial departure in nonlinear dynamics from standard dynamics at the discontinuous stage. The constructed irrational elliptic function series, which offers a way to directly approach the nature dynamics analytically for both smooth and discontinuous behaviours including the unperturbed periodic motions and the perturbed chaotic attractors without any truncation, is of particular interest. Readers will also gain a deeper understanding of the actual nonlinear phenomena by means of a simple mechanical model: the theory, methodology, and the applications in various interlinked disciplines of sciences and engineering. This book offers a valuable resource for researchers, professionals and postgraduate students in mechanical engineering, non-linear dynamics, and related areas, such as nonlinear modelling in various fields of mathematics, physics and the engineering sciences.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Tracts in Mechanical Engineering
Release date:	April 2017
First published:	2017
Authors:	Qingjie Cao • Alain Leger
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Hardcover
Pages:	262
Edition:	1st ed. 2017
ISBN-13:	978-3-662-53092-4
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics) Promotions
LSN:	3-662-53092-9
Barcode:	9783662530924

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