By Qingjie Cao,Alain Léger

This is the 1st ebook to introduce the irrational elliptic functionality sequence, offering a theoretical remedy for the graceful and discontinuous process and beginning a brand new department of utilized arithmetic. the invention of the sleek and discontinuous (SD) oscillator and the SD attractors mentioned during this publication represents one more milestone in nonlinear dynamics, following at the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963.

This specific approach bears major similarities to the Duffing oscillator, displaying the normal dynamics ruled via the hyperbolic constitution linked to the desk bound nation of the double good. despite the fact that, there's a mammoth departure in nonlinear dynamics from typical dynamics on the discontinuous degree. The developed irrational elliptic functionality sequence, which bargains how to at once process the character dynamics analytically for either soft and discontinuous behaviours together with the unperturbed periodic motions and the perturbed chaotic attractors with none truncation, is of specific interest. 

Readers also will achieve a deeper knowing of the particular nonlinear phenomena by way of an easy mechanical version: the speculation, method, and the functions in numerous interlinked disciplines of sciences and engineering. This booklet bargains a invaluable source for researchers, pros and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable components, equivalent to nonlinear modelling in a variety of fields of arithmetic, physics and the engineering sciences.

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