Nonlinear Dynamics and Complexity (eBook, PDF)

Redaktion: Afraimovich, Valentin; Fu, Xilin; Luo, Albert C. J.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 292
• Erscheinungstermin: 22. November 2013
• Englisch
• ISBN-13: 9783319023533
• Artikelnr.: 43802236

Autorenporträt

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.

Inhaltsangabe

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.