By Qingjie Cao,Alain Léger

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

This specific process bears major similarities to the Duffing oscillator, showing the traditional dynamics ruled via the hyperbolic constitution linked to the desk bound country of the double good. besides the fact that, there's a large departure in nonlinear dynamics from usual dynamics on the discontinuous level. The built irrational elliptic functionality sequence, which deals how to at once process the character dynamics analytically for either tender 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 realizing of the particular nonlinear phenomena through an easy mechanical version: the speculation, method, and the functions in a variety of interlinked disciplines of sciences and engineering. This ebook bargains a useful source for researchers, execs and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable parts, equivalent to nonlinear modelling in a number of fields of arithmetic, physics and the engineering sciences.

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