"Nonlinear Dynamics and Complexity" ed. by Valentin Afraimovich, Albert C. J. Luo, Xilin Fu

This volume 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.


Contents
Preface
Preface
Contents
From Long-Range Order to Complex Networks, an Hamiltonian Dynamics Perspective
Lyapunov Exponent Sign Reversal: Stability and Instability by the First Approximation
Fractional Maps as Maps with Power-Law Memory
Period-1 Motions in a Quadratic Nonlinear Oscillator
Map-Based Approach to Problems of Spiking Neural NetworkDynamics
Adaptive Landscape with Singularity in Evolutionary Processes
Scaffolding of Complex Systems Data
Treasure Hunting in Virtual Environments: Scaling Lawsof Human Motions and Mathematical Models of Human Actions in Uncertainty
Vibrational Resonance in Time-Delayed Nonlinear Systems
Experimental Studies of Noise Effects in Nonlinear Oscillators