By Qingjie Cao,Alain Léger
This is the 1st booklet to introduce the irrational elliptic functionality sequence, supplying a theoretical remedy for the sleek and discontinuous method 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 publication represents a different 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. even if, there's a monstrous departure in nonlinear dynamics from general dynamics on the discontinuous level. The built irrational elliptic functionality sequence, which deals how to without delay method 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 figuring out of the particular nonlinear phenomena via an easy mechanical version: the idea, technique, and the purposes in a number of interlinked disciplines of sciences and engineering. This booklet deals a invaluable source for researchers, execs and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable components, akin to 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