By Qingjie Cao,Alain Léger
This is the 1st publication to introduce the irrational elliptic functionality sequence, delivering a theoretical remedy for the sleek and discontinuous procedure 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 ebook represents another 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 normal dynamics ruled by means of the hyperbolic constitution linked to the desk bound kingdom of the double good. even though, there's a significant departure in nonlinear dynamics from commonplace dynamics on the discontinuous degree. The built irrational elliptic functionality sequence, which deals the way to without delay strategy the character dynamics analytically for either delicate 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 figuring out 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 ebook bargains a beneficial source for researchers, execs and postgraduate scholars in mechanical engineering, non-linear dynamics, and similar parts, akin to nonlinear modelling in quite a few fields of arithmetic, physics and the engineering sciences.
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