Nonlinear Dynamics and Complexity / edited by Valentin Afraimovich, Albert C. J. Luo, Xilin Fu.

Springer eBooks

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.

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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