By Qingjie Cao,Alain Léger
This is the 1st booklet to introduce the irrational elliptic functionality sequence, supplying a theoretical therapy for the sleek and discontinuous process and commencing a brand new department of utilized arithmetic. the invention of the sleek and discontinuous (SD) oscillator and the SD attractors mentioned during this e-book represents an additional 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. in spite of the fact that, there's a tremendous departure in nonlinear dynamics from typical dynamics on the discontinuous degree. The developed irrational elliptic functionality sequence, which bargains the way to without delay process the character dynamics analytically for either gentle 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 via an easy mechanical version: the speculation, technique, and the functions in a number of interlinked disciplines of sciences and engineering. This booklet bargains a worthy source for researchers, pros and postgraduate scholars in mechanical engineering, non-linear dynamics, and similar components, comparable to nonlinear modelling in a variety of fields of arithmetic, physics and the engineering sciences.
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