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 commencing 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 one other milestone in nonlinear dynamics, following at the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963.
This specific method bears major similarities to the Duffing oscillator, showing the traditional dynamics ruled by means of the hyperbolic constitution linked to the desk bound country of the double good. although, there's a mammoth departure in nonlinear dynamics from normal 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 soft 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 through an easy mechanical version: the speculation, technique, and the purposes in numerous interlinked disciplines of sciences and engineering. This booklet deals a beneficial source for researchers, pros and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable parts, resembling nonlinear modelling in numerous fields of arithmetic, physics and the engineering sciences.
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A Smooth and Discontinuous Oscillator: Theory, Methodology and Applications (Springer Tracts in Mechanical Engineering) by Qingjie Cao,Alain Léger