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Nonlinear Dynamics and Complexity

Buch | Hardcover
VIII, 292 Seiten
2013 | 2014
Springer International Publishing (Verlag)
978-3-319-02352-6 (ISBN)

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This notable collection covers the latest advances in nonlinear dynamics, taking in analytical solutions, chaos in Hamiltonian systems, time delay, uncertainty, and bio-network dynamics. It shows how to apply the mathematical theory to engineering practice.

This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.

Valentin Afraimovich is a Professor at San Luis Potosi University. Albert C. J. Luo is a Professor at Southern Illinois University, Edwardsville. Xilin Fu is a Professor at Shandong Normal University.

From Long Range Order to Complex Networks, an Hamiltonian Dynamics Perspective.- Time-Varying Linearization: Perron Effects of Lyapunov Exponent Sign Inversion, Stability and Instability by the First Approximation.- Fractional Maps as Maps with Memory.- Complex Period- Motion in a Periodically Forced, Quadratic Nonlinear Oscillator.- Map-Based Approach to Problems of Spiking Neural Network Dynamics.- Adaptive Landscape with Singularity in Biological Processes.- Multiscale Scaffolding of Real World Data.- Treasure Hunting in Virtual Environments. Scaling Laws of Human Virtual Motions and Mathematical Models of Human Actions in Uncertainty.- Vibrational Resonance in Time-Delayed Nonlinear Systems.- Experimental Studies of Noise Effects in Nonlinear Oscillators.

Erscheint lt. Verlag 10.12.2013
Reihe/Serie Nonlinear Systems and Complexity
Zusatzinfo VIII, 292 p. 117 illus., 42 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 588 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Optik
Technik
Schlagworte Bio-network Dynamics • Complexity • complex networks • Hamiltonian systems • Time-delay Systems • Uncertainty in Nonlinear Systems
ISBN-10 3-319-02352-7 / 3319023527
ISBN-13 978-3-319-02352-6 / 9783319023526
Zustand Neuware
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