A smooth and discontinuous oscillator : theory, methodology and applications

This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in thi...

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Bibliographic Details
Main Author: Cao, Qingjie.
Other Authors: Léger, Alain., Wiercigroch, Marian.
Format: eBook
Language: English
Published: Berlin : Springer, 2016.
Series: Springer tracts in mechanical engineering.
Subjects:
Chaotic behavior in systems.
Nonlinear theories.
elektronické knihy
electronic books
ISBN: 9783662530948
9783662530924
Physical Description: 1 online resource (271 pages)

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Table of contents

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100 1 |a Cao, Qingjie. 
245 1 2 |a A smooth and discontinuous oscillator :  |b theory, methodology and applications /  |c Qingjie Cao, Alain Léger, Marian Wiercigroch. 
264 1 |a Berlin :  |b Springer,  |c 2016. 
264 4 |c ©2017 
300 |a 1 online resource (271 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a počítač  |b c  |2 rdamedia 
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490 1 |a Springer Tracts in Mechanical Engineering 
505 0 |a Background: Nonlinear Systems -- An Smooth and Discontinuous (SD) Oscillator -- Bifurcation Behaviour -- Periodic Motions of the Perturbed SD Oscillator -- The Exact Solutions -- Chaotic Motions of the SD Oscillator -- Experimental Investigation of the SD Oscillator -- Applications in Structural Dynamics -- Applications in Engineering Isolation -- Challenges and the Open Problems. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in this book represents a further milestone in nonlinear dynamics, following on the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963. This particular system bears significant similarities to the Duffing oscillator, exhibiting the standard dynamics governed by the hyperbolic structure associated with the stationary state of the double well. However, there is a substantial departure in nonlinear dynamics from standard dynamics at the discontinuous stage. The constructed irrational elliptic function series, which offers a way to directly approach the nature dynamics analytically for both smooth and discontinuous behaviours including the unperturbed periodic motions and th e perturbed chaotic attractors without any truncation, is of particular interest. Readers will also gain a deeper understanding of the actual nonlinear phenomena by means of a simple mechanical model: the theory, methodology, and the applications in various interlinked disciplines of sciences and engineering. This book offers a valuable resource for researchers, professionals and postgraduate students in mechanical engineering, non-linear dynamics, and related areas, such as nonlinear modelling in various fields of mathematics, physics and the engineering sciences. 
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650 0 |a Chaotic behavior in systems. 
650 0 |a Nonlinear theories. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Léger, Alain. 
700 1 |a Wiercigroch, Marian. 
776 0 8 |i Print version:  |a Cao, Qingjie.  |t A Smooth and Discontinuous Oscillator : Theory, Methodology and Applications.  |d Berlin, Heidelberg : Springer Berlin Heidelberg, ©2016  |z 9783662530924 
830 0 |a Springer tracts in mechanical engineering. 
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