By Qingjie Cao,Alain Léger
This is the 1st e-book to introduce the irrational elliptic functionality sequence, delivering a theoretical remedy for the graceful and discontinuous approach 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 ebook represents an extra milestone in nonlinear dynamics, following at the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963.
This specific process bears major similarities to the Duffing oscillator, showing the normal dynamics ruled by way of the hyperbolic constitution linked to the desk bound country of the double good. even if, there's a colossal departure in nonlinear dynamics from regular dynamics on the discontinuous level. The developed irrational elliptic functionality sequence, which bargains the way to at once process 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 realizing of the particular nonlinear phenomena by way of an easy mechanical version: the idea, method, and the purposes in numerous interlinked disciplines of sciences and engineering. This e-book deals a helpful source for researchers, execs and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable components, resembling nonlinear modelling in a number of fields of arithmetic, physics and the engineering sciences.
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Extra info 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