By Qingjie Cao,Alain Léger
This is the 1st ebook to introduce the irrational elliptic functionality sequence, supplying a theoretical therapy for the graceful and discontinuous method and establishing a brand new department of utilized arithmetic. the invention of the graceful and discontinuous (SD) oscillator and the SD attractors mentioned during this booklet represents a different milestone in nonlinear dynamics, following at the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963.
This specific procedure 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. besides the fact that, there's a huge departure in nonlinear dynamics from general dynamics on the discontinuous level. The built irrational elliptic functionality sequence, which deals how to without delay 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 figuring out of the particular nonlinear phenomena by way of an easy mechanical version: the speculation, technique, and the purposes in a variety of interlinked disciplines of sciences and engineering. This ebook bargains a helpful source for researchers, pros and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable parts, reminiscent of nonlinear modelling in quite a few fields of arithmetic, physics and the engineering sciences.
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