Titlebook: Wave Physics; Oscillations - Solit Stephen Nettel Textbook 19952nd edition Springer-Verlag Berlin Heidelberg 1995 Chaostheorie.Oszillations

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,Nonlinear Waves on Water — Solitons,ng the earliest recorded illustrations of nonlinear behavior, . noticeably at all but the smallest amplitudes. In previous chapters the equations of motion were linear. Of course, it has been understood that linear equations are idealizations. No matter how small the displacement of a spring, if fin

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,Nonlinear Phenomena — Chaos,give the reader a glimpse into an extension of the traditional, — the currently active field of nonlinear behavior. In this chapter two essays by distinguished physicists deal with order and chaos, essays complementary to the subject matter of Chap. 7, which revealed unexpected order and stabilities

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Oscillations of Mechanical and Electrical Systems,us equation for an electrical system consisting of an R-L-C circuit. The distinction between natural and driven dynamics is carefully drawn. For natural motion the initial value problem is solved for the case of negligible viscous damping, negligible electrical resistance. The resonance phenomenon i

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Waves on Stretched Strings,ins with a derivation of the wave equation governing the vibrations of the string. As in Chap. 2 we divide the analysis into natural and driven motion. The natural motion is shown to consist of an infinite number of independent contributions, each contribution a so-called normal mode. Associated wit

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Electromagnetic Waves, equations, assumed to be familiar to the reader from introductory treatments, begins this chapter. Mathematical definitions and the physical significance of the vector operators of gradient, divergence, and curl are given. In the appendix to this chapter the reader will find proofs establishing the

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