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 sleek and discontinuous (SD) oscillator and the SD attractors mentioned during this booklet represents one other 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, showing the traditional dynamics ruled by means of the hyperbolic constitution linked to the desk bound kingdom of the double good. notwithstanding, there's a giant departure in nonlinear dynamics from regular dynamics on the discontinuous degree. The developed irrational elliptic functionality sequence, which bargains how to without delay procedure the character dynamics analytically for either soft 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 through an easy mechanical version: the idea, technique, and the purposes in quite a few interlinked disciplines of sciences and engineering. This publication bargains a worthy source for researchers, execs and postgraduate scholars in mechanical engineering, non-linear dynamics, and similar components, akin to nonlinear modelling in numerous 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