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A Smooth and Discontinuous Oscillator [electronic resource] : Theory, Methodology and Applications / by Qingjie Cao, Alain L ger.

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dc.contributor.author Cao, Qingjie. author.
dc.contributor.author L ger, Alain. author.
dc.contributor.author SpringerLink (Online service)
dc.date.accessioned 2017-12-02T16:13:33Z
dc.date.available 2017-12-02T16:13:33Z
dc.date.created 2017.
dc.date.issued 2017
dc.identifier.isbn 9783662530948
dc.identifier.uri http://dspace.conacyt.gov.py/xmlui/handle/123456789/23793
dc.description XIX, 262 p. 131 illus., 54 illus. in color.
dc.description.abstract 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.
dc.description.tableofcontents 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.
dc.language eng
dc.publisher Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2017.
dc.relation.ispartofseries Springer eBooks
dc.relation.ispartofseries Springer Tracts in Mechanical Engineering, 2195-9862
dc.relation.ispartofseries Springer Tracts in Mechanical Engineering, 2195-9862
dc.relation.uri http://cicco.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-662-53094-8
dc.subject Engineering.
dc.subject Mathematical models.
dc.subject Vibration.
dc.subject Dynamical systems.
dc.subject Dynamics.
dc.subject Engineering.
dc.subject Vibration, Dynamical Systems, Control.
dc.subject Applications of Nonlinear Dynamics and Chaos Theory.
dc.subject Classical Mechanics.
dc.subject Mathematical Modeling and Industrial Mathematics.
dc.subject.ddc 620 23
dc.subject.lcc TA355
dc.subject.lcc TA352-356
dc.subject.other Engineering (Springer-11647)
dc.title A Smooth and Discontinuous Oscillator [electronic resource] : Theory, Methodology and Applications / by Qingjie Cao, Alain L ger.
dc.type text
dc.identifier.doi 10.1007/978-3-662-53094-8
dc.identifier.bib 978-3-662-53094-8
dc.format.rdamedia computer
dc.format.rdacarrier online resource
dc.format.rda text file PDF

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