By Qingjie Cao,Alain Léger
This is the 1st ebook to introduce the irrational elliptic functionality sequence, supplying a theoretical therapy for the sleek and discontinuous method 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 e-book 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 by way of the hyperbolic constitution linked to the desk bound country of the double good. in spite of the fact that, there's a gigantic departure in nonlinear dynamics from usual dynamics on the discontinuous degree. The developed irrational elliptic functionality sequence, which deals 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 knowing of the particular nonlinear phenomena through an easy mechanical version: the speculation, method, and the purposes in a number of interlinked disciplines of sciences and engineering. This ebook bargains a useful source for researchers, execs and postgraduate scholars in mechanical engineering, non-linear dynamics, and similar parts, corresponding to nonlinear modelling in numerous fields of arithmetic, physics and the engineering sciences.
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This is often the 1st booklet to introduce the irrational elliptic functionality sequence, supplying a theoretical remedy for the sleek and discontinuous approach 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 booklet represents another milestone in nonlinear dynamics, following at the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963.
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Additional resources 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