By Qingjie Cao,Alain Léger
This is the 1st publication to introduce the irrational elliptic functionality sequence, supplying a theoretical therapy for the graceful and discontinuous process 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 e-book represents an extra 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, showing the traditional dynamics ruled by means of the hyperbolic constitution linked to the desk bound country of the double good. despite the fact that, there's a colossal departure in nonlinear dynamics from regular dynamics on the discontinuous degree. The built irrational elliptic functionality sequence, which bargains the way to without delay method 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 numerous interlinked disciplines of sciences and engineering. This booklet deals a invaluable source for researchers, pros and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable components, resembling 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