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Autor(en): 
  • Qingjie Cao
  • Alain Léger
  • A Smooth and Discontinuous Oscillator: Theory, Methodology and Applications 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 2 Artikel!


    Übersicht

    Auf mobile öffnen
     
    Lieferstatus:   i.d.R. innert 5-10 Tagen versandfertig
    Veröffentlichung:  Juli 2018  
    Genre:  Naturwissensch., Medizin, Technik 
     
    Applications of Nonlinear Dynamics and Chaos Theory / B / Civil Engineering / Classical mechanics / Dynamical systems / Dynamics / Dynamics & statics / engineering / Mathematical Modeling and Industrial Mathematics / Mathematical modelling / Mathematical models / Maths for engineers / Mechanics / Nonlinear Optics / Nonlinear science / Statistical physics / Vibration / Vibration, Dynamical Systems, Control
    ISBN:  9783662571101 
    EAN-Code: 
    9783662571101 
    Verlag:  Springer Berlin Heidelberg 
    Einband:  Kartoniert  
    Sprache:  English  
    Serie:  Springer Tracts in Mechanical Engineering  
    Dimensionen:  H 235 mm / B 155 mm / D 16 mm 
    Gewicht:  435 gr 
    Seiten:  284 
    Zus. Info:  Paperback 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    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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