Edited Series on Advances in Nonlinear Science and Complexity – serie
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2 produkter
2 produkter
Del 1 - Edited Series on Advances in Nonlinear Science and Complexity
Bifurcation and Chaos in Complex Systems
Inbunden, Engelska, 2006
1 991 kr
Skickas inom 10-15 vardagar
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. The theories, methods and results presented in this book are of great interest to scientists and engineers in a wide range of disciplines. This book can be adopted as references for mathematicians, scientists, engineers and graduate students conducting research in nonlinear dynamical systems.� New Views for Difficult Problems� Novel Ideas and Concepts � Hilbert's 16th Problem� Normal Forms in Polynomial Hamiltonian Systems � Grazing Flow in Non-smooth Dynamical Systems� Stochastic and Fuzzy Nonlinear Dynamical Systems� Fuzzy Bifurcation� Parametrical, Nonlinear Systems� Mode Interactions in nonlinear dynamical systems
Del 2 - Edited Series on Advances in Nonlinear Science and Complexity
Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances
Inbunden, Engelska, 2007
1 871 kr
Skickas inom 10-15 vardagar
The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner.� Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context� Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part)� Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear waves)