By Qingjie Cao,Alain Léger
This is the 1st publication to introduce the irrational elliptic functionality sequence, delivering a theoretical therapy for the sleek and discontinuous process and commencing a brand new department of utilized arithmetic. the invention of the graceful and discontinuous (SD) oscillator and the SD attractors mentioned during this publication represents another 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 nation of the double good. notwithstanding, there's a gigantic departure in nonlinear dynamics from usual dynamics on the discontinuous level. The built irrational elliptic functionality sequence, which deals how to without delay strategy 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 realizing of the particular nonlinear phenomena by way of an easy mechanical version: the idea, method, and the purposes in quite a few interlinked disciplines of sciences and engineering. This publication bargains a priceless source for researchers, pros and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable components, corresponding to nonlinear modelling in quite a few fields of arithmetic, physics and the engineering sciences.
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Extra resources for A Smooth and Discontinuous Oscillator: Theory, Methodology and Applications (Springer Tracts in Mechanical Engineering)
A Smooth and Discontinuous Oscillator: Theory, Methodology and Applications (Springer Tracts in Mechanical Engineering) by Qingjie Cao,Alain Léger