By Qingjie Cao,Alain Léger
This is the 1st ebook to introduce the irrational elliptic functionality sequence, supplying a theoretical remedy for the sleek and discontinuous approach 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 yet another milestone in nonlinear dynamics, following at the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963.
This specific procedure bears major similarities to the Duffing oscillator, showing the traditional dynamics ruled through the hyperbolic constitution linked to the desk bound kingdom of the double good. notwithstanding, there's a big departure in nonlinear dynamics from common dynamics on the discontinuous level. The built irrational elliptic functionality sequence, which bargains the way to without delay procedure 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 through an easy mechanical version: the speculation, technique, and the purposes in numerous interlinked disciplines of sciences and engineering. This booklet deals a important source for researchers, pros and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable parts, resembling nonlinear modelling in a variety of 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