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Title Nonlinear dynamics and complexity / Valentin Afraimovich, Albert C.J. Luo, Xilin Fu, editors
Published Cham : Springer, 2014
Table of Contents
 From Long-Range Order to Complex Networks, an Hamiltonian Dynamics Perspective / Xavier Leoncini1
 Lyapunov Exponent Sign Reversal: Stability and Instability by the First Approximation / N.V. Kuznetsov41
 Fractional Maps as Maps with Power-Law Memory / Mark Edelman79
 Period-1 Motions in a Quadratic Nonlinear Oscillator / Bo Yu121
 Map-Based Approach to Problems of Spiking Neural Network Dynamics / Vladimir I. Nekorkin143
 Adaptive Landscape with Singularity in Evolutionary Processes / Ping Ao163
 Scaffolding of Complex Systems Data / Dimitri Volchenkov191
 Treasure Hunting in Virtual Environments: Scaling Laws of Human Motions and Mathematical Models of Human Actions in Uncertainty / Sina Kuhnel213
 Vibrational Resonance in Time-Delayed Nonlinear Systems / M.A.F. Sanjuan235
 Experimental Studies of Noise Effects in Nonlinear Oscillators / Galina I. Strelkova261
 Index291

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Description 1 online resource (viii, 292 pages) : illustrations (some color)
Series Nonlinear Systems and Complexity, 2195-9994
Nonlinear systems and complexity, 2195-9994
Contents From Long-Range Order to Complex Networks, an Hamiltonian Dynamics Perspective / Sarah de Nigris and Xavier Leoncini -- Lyapunov Exponent Sign Reversal: Stability and Instability by the First Approximation / G.A. Leonov and N.V. Kuznetsov -- Fractional Maps as Maps with Power-Law Memory / Mark Edelman -- Period-1 Motions in a Quadratic Nonlinear Oscillator / Albert C.J. Luo and Bo Yu -- Map-Based Approach to Problems of Spiking Neural Network Dynamics / Oleg V. Maslennikov and Vladimir I. Nekorkin -- Adaptive Landscape with Singularity in Evolutionary Processes / Shuyun Jiao, Song Xu and Ping Ao -- Scaffolding of Complex Systems Data / Philippe Blanchard and Dimitri Volchenkov -- Treasure Hunting in Virtual Environments: Scaling Laws of Human Motions and Mathematical Models of Human Actions in Uncertainty / Dimitri Volchenkov, Jonathan Helbach, Marko Tscherepanow and Sina Kühnel -- Vibrational Resonance in Time-Delayed Nonlinear Systems / S. Rajasekar and M.A.F. Sanjuán -- Experimental Studies of Noise Effects in Nonlinear Oscillators / Vadim S. Anishchenko, Tatjana E. Vadivasova, Alexey V. Feoktistov, Vladimir V. Semenov and Galina Strelkova
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
Summary 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
Notes Includes index
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed November 25, 2013)
Subject Nonlinear mechanics -- Congresses
System analysis -- Congresses
TECHNOLOGY & ENGINEERING -- Engineering (General)
TECHNOLOGY & ENGINEERING -- Reference.
Ingénierie.
Nonlinear mechanics
System analysis
Genre/Form proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Afraĭmovich, V. S. (Valentin Senderovich), editor.
Luo, Albert C. J., editor
Fu, Xilin, editor
Conference on Nonlinear Dynamics and Complexity (2012 : Jinan Shi, China)
ISBN 9783319023533
3319023535
3319023527
9783319023526