IUTAM Symposium on Nonlinear Stochastic Dynamics and Control

1. Front Matter

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2. Part 1: Response and Reliability of Nonlinear Stochastic Systems

   1. Front Matter

      Pages 1-1

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   2. Nonlinear Stochastic Ecosystem of Two Competing Species

      • G. Q. Cai, Y. K. Lin

      Pages 3-12

   3. Energy Transition Rate at Peptide-Bond Using Stochastic Averaging Method

      • M. L. Deng, W. Q. Zhu

      Pages 13-23

   4. A New Method for the Probabilistic Solutions of Large-Scale Nonlinear Stochastic Dynamic Systems

      • G. K. Er, V. P. Iu

      Pages 25-34

   5. Nonstationary Probability Densities of Nonlinear Multi-Degree-of-Freedom Systems under Gaussian White Noise Excitations

      • X. L. Jin, Z. L. Huang

      Pages 35-44

   6. Feature Extraction within the Fei-Tsui Arch Dam under Environmental Variations

      • C. H. Loh, J. H. Weng, C. H. Chen, Y. W. Chang

      Pages 45-54

   7. About Some Schemes of Study for Systems with Different Forms of Time Aftereffect

      • V. V. Malanin, I. E. Poloskov

      Pages 55-64

   8. Reliability of Linear and Nonlinear Dynamic Systems under Multiplicative and Additive Noise

      • A. Naess, D. Iourtchenko, O. Batsevych

      Pages 65-75

   9. Numerical Solution of Fokker-Planck Equation for Nonlinear Stochastic Dynamical Systems

      • S. Narayanan, Pankaj Kumar

      Pages 77-86

   10. An Approximate Approach for Nonlinear System Evolutionary Response Spectrum Determination via Wavelets

       • P. D. Spanos, I. A. Kougioumtzoglou

       Pages 87-96

   11. On Information/Entropy Flow in Stochastic Dynamical Systems

       • K. Sobczyk, P. Hołobut

       Pages 97-106

   12. Finite Dimensional Markov Process Approximation for Time-Delayed Stochastic Dynamical Systems

       • Jian-Qiao Sun

       Pages 107-116

   13. Response Analysis of Nonlinear Multi-degree of Freedom Systems to Non-Gaussian Random Excitations

       • Cho W. Solomon To

       Pages 117-126

   14. Stationary and Nontationary Response Probability Density Function of a Beam under Poisson White Noise

       • M. Vasta, M. Di Paola

       Pages 127-136

   15. Steady State Analysis of Stochastic Systems with Multiple Time Delays

       • W. Xu, C. Y. Sun, H. Q. Zhang

       Pages 137-146

   16. Stochastic Averaging of Strongly Nonlinear Oscillators under Poisson White Noise Excitation

       • Y. Zeng, W. Q. Zhu

       Pages 147-155

3. Part 2: Stability, Bifurcation and Chaos of Nonlinear Stochastic Systems

   1. Front Matter

      Pages 157-157

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   2. Marginal Instability and Intermittency in Stochastic Systems

      • M. F. Dimentberg, A. Hera, A. Naess

      Pages 159-170

   3. A Practical Strategy to Study Stochastic Chaos

      • T. Fang, C. L. Wu, X. L. Yang

      Pages 171-181

Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics. The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analysis of non-linear stochastic systems from engineering, applied mathematics and physics point of view. Subject areas include: Multiscale phenomena, stability and bifurcations, control and estimation, computational methods and modelling. For the Engineering and Physics communities, this book will provide first-hand information on recent mathematical developments. The applied mathematics community will benefit from the modelling and information on various possible applications.

• Control
• Dynamics
• IUTAM
• Nonlinear
• Stochastic

• Zhejiang University, Hangzhou, People’s Republic of China

  W. Q. Zhu

• College of Engineering and Computer Science, Florida Atlantic University , Boca Raton, USA

  Y. K. Lin

• College of Engineering and Computer Science , Florida Atlantic University, Boca Raton, USA

  G. Q. Cai

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