Nonlinear Dynamics and Complexity

• Corporate Author: SpringerLink (Online service)
• Other Authors: Afraimovich, Valentin (Editor), Luo, Albert C. J. (Editor), Fu, Xilin (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Nonlinear Systems and Complexity, 8
• Subjects: Engineering.; System theory.; Statistical physics.; Complexity, Computational.; Complexity.; Nonlinear Dynamics.; Complex Systems.

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 understan...

Table 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.