Nonlinear Dynamics and Complexity

1. Front Matter

   Pages i-viii

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2. From Long-Range Order to Complex Networks, an Hamiltonian Dynamics Perspective

   • Sarah de Nigris, Xavier Leoncini

   Pages 1-39

3. Lyapunov Exponent Sign Reversal: Stability and Instability by the First Approximation

   • G. A. Leonov, N. V. Kuznetsov

   Pages 41-77

4. Fractional Maps as Maps with Power-Law Memory

   • Mark Edelman

   Pages 79-120

5. Period-1 Motions in a Quadratic Nonlinear Oscillator

   • Albert C. J. Luo, Bo Yu

   Pages 121-142

6. Map-Based Approach to Problems of Spiking Neural Network Dynamics

   • Oleg V. Maslennikov, Vladimir I. Nekorkin

   Pages 143-161

7. Adaptive Landscape with Singularity in Evolutionary Processes

   • Shuyun Jiao, Song Xu, Ping Ao

   Pages 163-189

8. Scaffolding of Complex Systems Data

   • Philippe Blanchard, Dimitri Volchenkov

   Pages 191-212

9. Treasure Hunting in Virtual Environments: Scaling Laws of Human Motions and Mathematical Models of Human Actions in Uncertainty

   • Dimitri Volchenkov, Jonathan Helbach, Marko Tscherepanow, Sina Kühnel

   Pages 213-234

10. Vibrational Resonance in Time-Delayed Nonlinear Systems

    • S. Rajasekar, M. A. F. Sanjuán

    Pages 235-260

11. Experimental Studies of Noise Effects in Nonlinear Oscillators

    • Vadim S. Anishchenko, Tatjana E. Vadivasova, Alexey V. Feoktistov, Vladimir V. Semenov, Galina I. Strelkova

    Pages 261-290

12. Back Matter

    Pages 291-292

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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.

• Bio-network Dynamics
• Complex Networks
• Hamiltonian Systems
• Time-delay Systems
• Uncertainty in Nonlinear Systems
• complexity

• San Luis Potosi University, San Luis Potosi, Mexico

  Valentin Afraimovich

• School of Engineering Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, USA

  Albert C. J. Luo

• Shandong Normal University, Ji’nan, People's Republic of China

  Xilin Fu

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.

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