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RT Book, Whole SR Electronic DC OPAC T1 Nonlinear Wave Dynamics : Complexity and Simplicity / by Jüri Engelbrecht T2 Kluwer Texts in the Mathematical Sciences A1 Engelbrecht, Jüri A1 SpringerLink (Online service) YR 1997 FD 1997 SP XIV, 185 p K1 Engineering K1 Partial differential equations K1 Applied mathematics K1 Engineering mathematics K1 Continuum mechanics K1 Vibration K1 Dynamical systems K1 Dynamics K1 Engineering K1 Vibration, Dynamical Systems, Control K1 Partial Differential Equations K1 Continuum Mechanics and Mechanics of Materials K1 Applications of Mathematics PB Springer Netherlands : Imprint: Springer PP Dordrecht SN 9789401588911 LA English (英語) CL DC23:620 NO At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc NO 書誌ID=1002999426; LK [E Book]http://dx.doi.org/10.1007/978-94-015-8891-1 OL 30