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.
Author(s): G. Q. Cai, Y. K. Lin (auth.), W. Q. Zhu, Y. K. Lin, G. Q. Cai (eds.)
Series: IUTAM BOOKSERIES 29
Edition: 1
Publisher: Springer Netherlands
Year: 2011
Language: English
Pages: 328
Tags: Nonlinear Dynamics;Vibration, Dynamical Systems, Control;Systems Theory, Control;Mechanics;Statistical Physics, Dynamical Systems and Complexity
Front Matter....Pages -
Front Matter....Pages 1-1
Nonlinear Stochastic Ecosystem of Two Competing Species....Pages 3-12
Energy Transition Rate at Peptide-Bond Using Stochastic Averaging Method....Pages 13-23
A New Method for the Probabilistic Solutions of Large-Scale Nonlinear Stochastic Dynamic Systems....Pages 25-34
Nonstationary Probability Densities of Nonlinear Multi-Degree-of-Freedom Systems under Gaussian White Noise Excitations....Pages 35-44
Feature Extraction within the Fei-Tsui Arch Dam under Environmental Variations....Pages 45-54
About Some Schemes of Study for Systems with Different Forms of Time Aftereffect....Pages 55-64
Reliability of Linear and Nonlinear Dynamic Systems under Multiplicative and Additive Noise....Pages 65-75
Numerical Solution of Fokker-Planck Equation for Nonlinear Stochastic Dynamical Systems....Pages 77-86
An Approximate Approach for Nonlinear System Evolutionary Response Spectrum Determination via Wavelets....Pages 87-96
On Information/Entropy Flow in Stochastic Dynamical Systems....Pages 97-106
Finite Dimensional Markov Process Approximation for Time-Delayed Stochastic Dynamical Systems....Pages 107-116
Response Analysis of Nonlinear Multi-degree of Freedom Systems to Non-Gaussian Random Excitations....Pages 117-126
Stationary and Nontationary Response Probability Density Function of a Beam under Poisson White Noise....Pages 127-136
Steady State Analysis of Stochastic Systems with Multiple Time Delays....Pages 137-146
Stochastic Averaging of Strongly Nonlinear Oscillators under Poisson White Noise Excitation....Pages 147-155
Front Matter....Pages 157-157
Marginal Instability and Intermittency in Stochastic Systems....Pages 159-170
A Practical Strategy to Study Stochastic Chaos....Pages 171-181
Fractal Basin Boundaries and Chaotic Dynamics in the Randomly-Driven Henon-Heiles Oscillator....Pages 183-190
Moment Lyapunov Exponent for a Three Dimensional Stochastic System....Pages 191-200
Bifurcation Analysis of Stochastic Non-smooth Systems....Pages 201-209
Front Matter....Pages 211-211
Synchronization Behavior of a Clustered Neuronal Network in a Noisy Environment....Pages 213-220
Stochastic Parameter Resonance of Road-Vehicle Systems and Related Bifurcation Problems....Pages 221-228
A Review of Parameter-Induced Stochastic Resonance and Current Applications in Two-Dimensional Image Processing....Pages 229-238
Front Matter....Pages 239-239
Design of Damper Viscous Properties for Semi-active Control of Asymmetric Structures....Pages 241-250
Iterative Procedures in Application of the LQGP Approach to the Duffing Oscillator....Pages 251-260
Stochastic Optimal Time-Delay Control and Stabilization of Quasi-Integrable Hamiltonian Systems....Pages 261-270
Front Matter....Pages 271-271
Modeling of Stochastic Dynamic Excitations and the Probability Density Evolution Theory for Nonlinear Stochastic Dynamics....Pages 273-282
On the Consideration of Model Uncertainties in Model Updating of Dynamic Systems....Pages 283-292
Stochastic Reduced Order Models for Uncertain Infinite-Dimensional Geometrically Nonlinear Dynamical Systems- Stochastic Excitation Cases....Pages 293-302
Front Matter....Pages 303-303
Decentralized Random Decrement Technique for Data Aggregation and System Identification in Wireless Smart Sensor Networks....Pages 305-314
A Wave-Based Approach for Seismic Response Analyses of High-Rise Buildings....Pages 315-325
Back Matter....Pages -
