By Qingjie Cao,Alain Léger
This is the 1st e-book to introduce the irrational elliptic functionality sequence, supplying a theoretical remedy for the graceful and discontinuous process and starting 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 one more 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, displaying the traditional dynamics ruled via the hyperbolic constitution linked to the desk bound country of the double good. despite the fact that, there's a huge 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 tender 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 by way of an easy mechanical version: the idea, technique, and the functions in numerous interlinked disciplines of sciences and engineering. This publication bargains a helpful 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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A Smooth and Discontinuous Oscillator: Theory, Methodology and Applications (Springer Tracts in Mechanical Engineering) by Qingjie Cao,Alain Léger