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.
Edited by:
Valentin Afraimovich,
Albert C. J. Luo,
Xilin Fu
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2014 ed.
Volume: 8
Dimensions:
Height: 235mm,
Width: 155mm,
Spine: 20mm
Weight: 5.738kg
ISBN: 9783319023526
ISBN 10: 3319023527
Series: Nonlinear Systems and Complexity
Pages: 292
Publication Date: 10 December 2013
Audience:
Professional and scholarly
,
Undergraduate
Format: Hardback
Publisher's Status: Active
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.
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.