Nonlinear Dynamics and Complexity

✍ Scribed by Sarah de Nigris, Xavier Leoncini (auth.), Valentin Afraimovich, Albert C. J. Luo, Xilin Fu (eds.)

• Publisher: Springer International Publishing
• Year: 2014
• Tongue: English
• Leaves: 297
• Series: Nonlinear Systems and Complexity 8
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-viii
From Long-Range Order to Complex Networks, an Hamiltonian Dynamics Perspective....Pages 1-39
Lyapunov Exponent Sign Reversal: Stability and Instability by the First Approximation....Pages 41-77
Fractional Maps as Maps with Power-Law Memory....Pages 79-120
Period-1 Motions in a Quadratic Nonlinear Oscillator....Pages 121-142
Map-Based Approach to Problems of Spiking Neural Network Dynamics....Pages 143-161
Adaptive Landscape with Singularity in Evolutionary Processes....Pages 163-189
Scaffolding of Complex Systems Data....Pages 191-212
Treasure Hunting in Virtual Environments: Scaling Laws of Human Motions and Mathematical Models of Human Actions in Uncertainty....Pages 213-234
Vibrational Resonance in Time-Delayed Nonlinear Systems....Pages 235-260
Experimental Studies of Noise Effects in Nonlinear Oscillators....Pages 261-290
Back Matter....Pages 291-292

✦ Subjects

Complexity; Nonlinear Dynamics; Complex Systems