Chaos Systems

Qingjie Cao,Alain Léger's A Smooth and Discontinuous Oscillator: Theory, Methodology PDF

By Qingjie Cao,Alain Léger

ISBN-10: 3662530929

ISBN-13: 9783662530924

This is the 1st e-book to introduce the irrational elliptic functionality sequence, offering a theoretical remedy for the sleek and discontinuous approach and commencing a brand new department of utilized arithmetic. the invention of the graceful and discontinuous (SD) oscillator and the SD attractors mentioned during this booklet represents yet another 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 via the hyperbolic constitution linked to the desk bound country of the double good. in spite of the fact that, there's a colossal departure in nonlinear dynamics from ordinary dynamics on the discontinuous level. The built irrational elliptic functionality sequence, which bargains how to without delay method 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 figuring out of the particular nonlinear phenomena via an easy mechanical version: the speculation, method, and the functions in numerous interlinked disciplines of sciences and engineering. This booklet bargains a important source for researchers, execs and postgraduate scholars in mechanical engineering, non-linear dynamics, and similar components, comparable to nonlinear modelling in a variety of fields of arithmetic, physics and the engineering sciences.

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Download e-book for kindle: A Smooth and Discontinuous Oscillator: Theory, Methodology by Qingjie Cao,Alain Léger

This can be the 1st e-book to introduce the irrational elliptic functionality sequence, supplying a theoretical therapy for the sleek and discontinuous process 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.

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A Smooth and Discontinuous Oscillator: Theory, Methodology and Applications (Springer Tracts in Mechanical Engineering) by Qingjie Cao,Alain Léger


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