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Strange Nonchaotic Attractors: Dynamics Between Order And Chaos in Quasiperiodically Forced Systems
Description Strange Nonchaotic Attractors: Dynamics Between Order And Chaos in Quasiperiodically Forced Systems. This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving. A historical review of the discovery and study of SNA, mathematical and physically-motivated examples, and a review of known experimental studies of SNA are presented. The main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical physics (bifurcation analysis, Lyapunov exponents, correlations and spectra, renormalization group). The relations of the subject to other fields of physics such as quantum chaos and solid state physics are also discussed.
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Strange Nonchaotic Attractors: Dynamics Between Order And ~ Strange Nonchaotic Attractors: Dynamics Between Order And Chaos in Quasiperiodically Forced Systems (Nonlinear Science) / Ulrike Feudel, Sergey Kuznetsov, Arkady Pikovsky / download / B–OK. Download books for free. Find books
Strange nonchaotic attractors : dynamics between order and ~ Request PDF / On Jan 1, 2006, Ulrike Freude and others published Strange nonchaotic attractors : dynamics between order and chaos in Quasiperiodically Forced Systems / Find, read and cite all the .
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Strange nonchaotic attractors dynamics between order and ~ title Strange nonchaotic attractors dynamics between order and chaos in quasiperiodically forced systems 56 (world scientific series on nonlinear science seri Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising.
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The Duffing Equation: Nonlinear Oscillators and Their ~ The editors and the contributors explain the mathematical techniques required to study nonlinear dynamics, helping the reader with little mathematical background to understand the text.The Duffing Equation provides a reference text for postgraduate and students and researchers of mechanical engineering and vibration / nonlinear dynamics as well as a useful tool for practising mechanical .
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Attractor - Wikipedia ~ In the mathematical field of dynamical systems, an attractor is a set of numerical values toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain close even if slightly disturbed. In finite-dimensional systems, the evolving variable may be represented algebraically as an n-dimensional vector.
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Duffing equation - Wikipedia ~ The forced Duffing oscillator with cubic nonlinearity is described by the following ordinary differential equation: ¨ + ˙ + + = (). The frequency response of this oscillator describes the amplitude of steady state response of the equation (i.e. ()) at a given frequency of excitation . For a linear oscillator with =, the frequency response is also linear.
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