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

By Qingjie Cao,Alain Léger

This is the 1st publication to introduce the irrational elliptic functionality sequence, delivering a theoretical remedy for the sleek and discontinuous procedure 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.

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 country of the double good. although, there's a mammoth departure in nonlinear dynamics from normal dynamics on the discontinuous degree. The built irrational elliptic functionality sequence, which deals the way to without delay strategy 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 knowing 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 beneficial source for researchers, pros and postgraduate scholars in mechanical engineering, non-linear dynamics, and comparable parts, resembling nonlinear modelling in numerous fields of arithmetic, physics and the engineering sciences.

Show description

Read or Download A Smooth and Discontinuous Oscillator: Theory, Methodology and Applications (Springer Tracts in Mechanical Engineering) PDF

Best chaos & systems books

Mercedes Pascual,Jennifer A. Dunne's Ecological Networks: Linking Structure to Dynamics in Food PDF

This booklet relies on complaints from a February 2004 Santa Fe Institute workshop. Its contributing bankruptcy authors deal with the ecology of predator-prey interactions and foodstuff net thought, constitution, and dynamics, becoming a member of researchers who additionally paintings on complicated structures and on huge nonlinear networks from the issues of view of different sub-fields inside ecology.

Read e-book online Stability of Dynamical Systems: 5 (Monograph Series on PDF

The most objective of constructing balance conception is to ascertain dynamic responses of a method to disturbances because the time techniques infinity. it's been and nonetheless is the thing of excessive investigations as a result of its intrinsic curiosity and its relevance to all useful platforms in engineering, finance, typical technological know-how and social technology.

Download e-book for iPad: Beyond the Second Law: Entropy Production and by Roderick C. Dewar,Charles H. Lineweaver,Robert K.

The second one legislation, a cornerstone of thermodynamics, governs the common path of dissipative, non-equilibrium techniques. however it says not anything approximately their real premiums or the likelihood of fluctuations concerning the standard. This interdisciplinary publication, written and peer-reviewed through foreign specialists, offers contemporary advances within the look for new non-equilibrium rules past the second one legislations, and their purposes to a variety of structures throughout physics, chemistry and biology.

Download PDF by Gerasimos G. Rigatos: State-Space Approaches for Modelling and Control in

The e-book conclusively solves difficulties linked to the keep watch over and estimation of nonlinear and chaotic dynamics in financial platforms whilst those are defined within the kind of nonlinear traditional differential equations. It then addresses difficulties linked to the regulate and estimation of financial structures ruled by means of partial differential equations (e.

Additional resources for A Smooth and Discontinuous Oscillator: Theory, Methodology and Applications (Springer Tracts in Mechanical Engineering)

Example text

Download PDF sample

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

by Michael

Rated 4.37 of 5 – based on 41 votes