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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.
List of contents
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.
About the author
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.
Summary
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.
