Titlebook: Complex Motions and Chaos in Nonlinear Systems; Valentin Afraimovich,José António Tenreiro Machado Book 2016 Springer International Publis

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Anna Capietto,Peter Kloeden,Rafael Ortega the two semi-infinite reservoirs can be imposed to compensate this generalized force. The piston is then again at mechanical equilibrium. Even if the piston is adiabatic, because of its fluctuation in the temperature and pressure gradients, there is still heat transfer between the two gases, causin

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2195-9994 ign to practical engineering as well as the study of other complex phenomena including those investigated within social science.978-3-319-80418-7978-3-319-28764-5Series ISSN 2195-9994 Series E-ISSN 2196-0003

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2195-9994 thermal dynamics, nonlinear geophysical dynamics, time-delaThis book brings together 12 chapters on a new stream of research examining complex phenomena in nonlinear systems—including engineering, physics, and social science. Complex Motions and Chaos in Nonlinear Systems provides readers a particu

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https://doi.org/10.1007/978-0-85729-256-8d chaos is proposed. The results are supported with the aid of simulations. Arbitrarily high-dimensional chaotic discrete-time dynamical systems can be designed by means of the presented technique. A discrete gonorrhea model is utilized to generate chaotic behavior in population dynamics.

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Periodic Motions to Chaos in Duffing Oscillator via Discretization Technique,merical results of periodic motions of the Duffing oscillator are illustrated to verify the analytical prediction. The method used herein is applicable to other nonlinear systems for bifurcation trees of periodic motions to chaos.

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,Detection of Quasi-Periodic Processes in Experimental Measurements: Reduction to an “Ideal Experimehas been demonstrated that successive and reproducible measurements have a memory, and this important fact makes it possible to group all data into two large classes: ideal experiments without memory and experiments with memory. Real data with memory can be defined as a quasi-periodic process and ar