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Bifurcation theory
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Most popular at the top

  • Bifurcation And Chaos In Nonsmooth Mechanical Systemsby Jan Awrejcewicz; Claude-Henri Lamarque

    World Scientific 2003; US$ 153.40

    This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc. more...

  • Chaos, Bifurcations And Fractals Around Usby Wanda Szemplinska-Stupnicka

    World Scientific 2003; US$ 46.80

    During the last twenty years, a large number of books on nonlinear chaotic dynamics in deterministic dynamical systems have appeared. These academic tomes are intended for graduate students and require a deep knowledge of comprehensive, advanced mathematics. more...

  • Bifurcations And Chaos In Piecewise-smooth Dynamical Systems: Applications To Power Converters, Relay And Pulse-width Modulated Control Systems, And Human Decision-making Behaviorby Zhanybai T. Zhusubaliyev; Erik Mosekilde

    World Scientific 2003; US$ 111.80

    Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick?slip phenomena. more...

  • Bifurcation and Chaos in Complex Systemsby Jian-Qiao Sun; Albert C.J. Luo

    Elsevier 2006; US$ 235.00

    The book presents the recent achievements on bifurcation studies of nonlinear dynamical systems. The contributing authors of the book are all distinguished researchers in this interesting subject area. The first two chapters deal with the fundamental theoretical issues of bifurcation analysis in smooth and non-smooth dynamical systems. The cell mapping methods are presented for global bifurcations in stochastic and deterministic, nonlinear dynamical systems in the third chapter. The fourth chapter studies bifurcations and chaos in time-varying, parametrically excited nonlinear dynamical systems. The fifth chapter presents bifurcation analyses of modal interactions in distributed, nonlinear, dynamical systems of circular thin von Karman plates.... more...

  • Bifurcation Theory And Applicationsby Tian Ma; Shouhong Wang

    World Scientific 2005; US$ 103.00

    This book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics. The book first introduces bifurcation theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate nonlinearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for nonlinear evolution equations, a new notion of bifurcation. With this new notion of bifurcation, many longstanding bifurcation problems in science and engineering are becoming accessible, and are treated in the second part of the... more...

  • Topological Degree Approach to Bifurcation Problemsby Michal Feckan

    Springer 2008; US$ 129.00

    This book is devoted to bifurcations of periodic, subharmonic and chaotic oscillations, and travelling waves in nonlinear differential equations and discrete dynamical systems by using the topological degree theory both for single-valued and multi-valued mappings in Banach spaces. Original bifurcation results are proved with applications to a broad variety of nonlinear problems ranging from non-smooth and discontinuous mechanical systems, weakly coupled oscillators, systems with relay hysteresis, through infinite chains of differential equations on lattices involving also spatially discretized partial differential equations, and to string and beam partial differential equations. Next, the chaotic behaviour is also investigated for maps possessing... more...

  • Robuste Handkonturerkennungby Oliver Jorkisch

    Diplomica Verlag 2008; US$ 53.01

    Hauptbeschreibung Die Hand wird in der Informatik als Interaktionsinstrument zunehmend wichtiger. Schon heute gibt es einige Systeme bei denen der Benutzer seine Eingaben nicht mehr mit Maus und Tastatur, sondern mit Hilfe seiner Hände vornimmt. Der große Vorteil hiervon ist, dass man Objekte wie in der realen Welt manipulieren kann. Z.B. ist es nicht ganz klar, wie man ein 3D-Objekt wie eine Tasse mit Maus und Tastatur "greift". Mit der Hand ist diese Aufgabe ganz natürlich ausführbar und muss nicht extra erlernt werden. Um eine solche Interaktion zu unterstützen ist ein Handtracking notwendig. Man unterscheidet hierbei zwischen einem System zur Erkennung vorher festgelegter Gesten und einem Tracking aller möglichen Handstellungen. Bei der... more...

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