By Qingjie Cao,Alain Léger
This is the 1st ebook to introduce the irrational elliptic functionality sequence, offering a theoretical therapy for the sleek and discontinuous method and beginning 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 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, showing the traditional dynamics ruled by means of the hyperbolic constitution linked to the desk bound kingdom of the double good. besides the fact that, there's a gigantic departure in nonlinear dynamics from commonplace dynamics on the discontinuous degree. The built irrational elliptic functionality sequence, which deals the way to without delay procedure 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 knowing of the particular nonlinear phenomena by way of an easy mechanical version: the idea, technique, and the purposes in a number of interlinked disciplines of sciences and engineering. This ebook deals a priceless source for researchers, execs and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable parts, reminiscent of nonlinear modelling in numerous fields of arithmetic, physics and the engineering sciences.
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