Note: Intro -- Title -- Preface -- Contents -- Part 1 Response and Reliability of Nonlinear Stochastic Systems -- Nonlinear Stochastic Ecosystem of Two Competing Species -- Introduction -- Characteristics of Deterministic Nonlinear System -- Stochastic Nonlinear Model -- Gaussian White-Noise Model -- Randomized Sinusoidal Process Model -- Conclusions -- References -- Energy Transition Rate at Peptide-Bond Using Stochastic Averaging Method -- Introduction -- PB Breaking in ESC and Its Stochastic Dynamical Model -- Energy Transition Rate in the Case of Fermi Resonance -- PB Breaking Rate Affected by Oxygen Ion -- Conclusions -- References -- A New Method for the Probabilistic Solutions of Large-Scale Nonlinear Stochastic Dynamic Systems -- Introduction -- Problem Formulation -- Subspace Method -- Numerical Analysis -- Conclusions -- References -- Nonstationary Probability Densities of Nonlinear Multi-Degree-of-Freedom Systems under Gaussian White Noise Excitations -- Introduction -- Approximate Nonstationary Probability Density -- An Illustrative Example -- Conclusions -- References -- Feature Extraction within the Fei-Tsui Arch Dam under Environmental Variations -- Introduction -- Measurement Systems of the Fei-Tsui Arch Dam -- System Identification from Seismic Response Data -- Deformation Monitoring from Long-Term Data -- Conclusions -- References -- About Some Schemes of Study for Systems with Different Forms of Time Aftereffect -- Introduction -- Neutral Systems with Multiple Constant Delays -- Scheme of Study -- Equations for Moments -- Examples -- Conclusions -- References -- Reliability of Linear and Nonlinear Dynamic Systems under Multiplicative and Additive Noise -- Introduction -- Path Integration Approach to Reliability -- Numerical Examples -- A Linear Oscillator with Multiplicative and Additive Noise. , A Duffing Oscillator with Multiplicative and Additive Noise -- Conclusions -- References -- Numerical Solution of Fokker-Planck Equation for Nonlinear Stochastic Dynamical Systems -- Introduction -- Path Integration Method -- Finite Difference Method -- Conclusions -- References -- An Approximate Approach for Nonlinear System Evolutionary Response Spectrum Determination via Wavelets -- Introduction -- Harmonic Wavelet-Based Stochastic Process Representation and EPS Estimation -- Harmonic Wavelet Transform -- Locally Stationary Wavelet Process Representation -- EPS Estimation -- Harmonic Wavelet-Based Statistical Linearization -- Nonlinear Response EPS Determination -- Duffing Oscillator Application -- Conclusions -- References -- On Information/Entropy Flow in Stochastic Dynamical Systems -- Introduction -- Entropy and Relative Entropy for SDS -- Entropy in Liouvillian Systems -- Entropy Rate of Systems with External Random Excitation -- Relative Entropy for True and Idealized Models -- Non-stationary Dynamics -- Vibratory System with Time-Varying Parameters -- Conclusions -- References -- Finite Dimensional Markov Process Approximation for Time-Delayed Stochastic Dynamical Systems -- Introduction -- The FDMP Method -- Applications -- FPK Equation -- Moment Equations -- Reliability -- First-Passage Time Probability -- Pontryagin-Vitt Equations -- Conclusion -- References -- Response Analysis of Nonlinear Multi-degree of Freedom Systems to Non-Gaussian Random Excitations -- Introduction -- Nonlinear Systems under Gaussian Excitations -- Nonlinear Systems under Non-Gaussian Excitations -- Recursive Expressions for Systems under Non-Gaussian Random Excitations -- Non-Gaussian Random Excitation Models -- Time Co-ordinate Transformation -- Adaptive Time Scheme -- System with Asymmetric Nonlinear Stiffness -- Two Dof System with Asymmetric Stiffness. , Computed Results and Discussion -- Concluding Remarks -- References -- Stationary and Nontationary Response Probability Density Function of a Beam under Poisson White Noise -- Introduction -- Linear Oscillations of a Beam under Transversal Poisson Pulses -- Nonlinear Oscillations of a Beam under Transversal Poisson Pulses -- Solution of Higher Order τ -- Conclusions -- References -- Steady State Analysis of Stochastic Systems with Multiple Time Delays -- Introduction -- Delay Fokker-Planck Equations -- Approximate Stationary Solution -- Case Study and Numerical Simulations -- References -- Stochastic Averaging of Strongly Nonlinear Oscillators under Poisson White Noise Excitation -- Introduction -- Stochastic Averaging Method -- Example -- Conclusions -- References -- Part 2 Stability, Bifurcation and Chaos of Nonlinear Stochastic Systems -- Marginal Instability and Intermittency in Stochastic Systems -- Introduction -- Systems with Slow Variations of Parameters -- Systems with Rapid Variations of Parameters -- Conclusions -- References -- A Practical Strategy to Study Stochastic Chaos -- Introduction -- Implement of Orthogonal Polynomial Approximation -- Typical Phenomena of Stochastic Chaos -- Example 1 - Stochastic Chaos in Duffing Oscillator -- Example 2 - Control of Chaos by Random Noise or Chaotic Driving -- Example 3- Synchronization Induced by Common Noise -- Conclusions -- References -- Fractal Basin Boundaries and Chaotic Dynamics in the Randomly-Driven Henon-Heiles Oscillator -- Introduction -- Noisy Exit Basins in the H-H Oscillator -- Noisy Chaotic Dynamics -- Conclusions -- References -- Moment Lyapunov Exponent for a Three Dimensional Stochastic System -- Introduction -- Equations -- Asymptotic Analysis -- The \_ε^0 Order Equation -- The \_ε^1 Order Equation -- Solution of the Eigenvalue Problem. , Numerical Results and Conclusions -- References -- Bifurcation Analysis of Stochastic Non-smooth Systems -- Introduction -- Damping Induced Bifurcation -- Excitation Induced Bifurcation and Sensitivity to Initial Conditions -- Sensitivity to Initial Condition -- Conclusions -- References -- Part 3 Resonance and Synchronization of Nonlinear Stochastic Systems -- Synchronization Behavior of a Clustered Neuronal Network in a Noisy Environment -- Introduction -- Mathematical Model -- Main Results -- Summary -- References -- Stochastic Parameter Resonance of Road-Vehicle Systems and Related Bifurcation Problems -- Introduction to the Problem -- Spectral Analysis of Road-Vehicle Systems -- Covariance Analysis of Road-Vehicle Systems -- Extensions to Nonlinear Car Vibrations -- Asymptotic Stability of Stationary Car Vibrations -- Conclusions -- References -- A Review of Parameter-Induced Stochastic Resonance and Current Applications in Two-Dimensional Image Processing -- Review of Parameter-Induced Stochastic Resonance -- 2D-PSR System and the Corresponding Fokker-Planck Equation -- Theory of 2D-PSR for Degraded Image Processing -- Example of 2D-PSR Image Restoration -- Example of 2D-PSR Pattern Recognition of Remote Sensing Image -- Conclusions -- References -- Part 4 Control of Nonlinear Stochastic Systems -- Design of Damper Viscous Properties for Semi-active Control of Asymmetric Structures -- Introduction -- Device Sizing for Seismic Excited Frame Structures -- Reference Linear Active Control Feedback -- Semi-active Control Design -- Semi-active Control Strategies -- Implementation on a Prototype Structure -- Conclusion -- References -- Iterative Procedures in Application of the LQGP Approach to the Duffing Oscillator -- Introduction -- Problem Formulation -- Quasi-Optimal Nonlinear Control Problem -- Procedure Convergence for the Duffing Oscillator. , Example -- Conclusions -- References -- Stochastic Optimal Time-Delay Control and Stabilization of Quasi-Integrable Hamiltonian Systems -- Introduction -- Formulation of Stochastic Optimal Time-Delay Control -- Conversion to Stochastic Optimal Control Problems without Time-Delay -- Time-Delay Feedback Stabilization -- Example -- Conclusions -- References -- Part 5 Modeling of Stochastic Dynamical Systems and Stochastic Excitations -- Modeling of Stochastic Dynamic Excitations and the Probability Density Evolution Theory for Nonlinear Stochastic Dynamics -- Introduction -- Physical Stochastic Modeling of Dynamic Excitations -- Basic Thoughts of Physical Stochastic Systems -- Physical Stochastic Models: Exemplified by Fluctuating Wind -- Stochastic Responses of Nonlinear Structures via Probability Density Evolution Equation -- Fundamentals of the Probability Density Evolution Method -- Numerical Implementation Procedure -- Numerical Examples -- Conclusions -- References -- On the Consideration of Model Uncertainties in Model Updating of Dynamic Systems -- Introduction -- Bayesian Model Updating -- The Prediction Error in Bayesian Updating -- Numerical Example -- Updated Structural Parameters -- Posterior Modal Properties -- Posterior Prediction Error -- Conclusions -- References -- Stochastic Reduced Order Models for Uncertain Infinite-Dimensional Geometrically Nonlinear Dynamical Systems- Stochastic Excitation Cases -- Introduction -- Reduced Order Modeling of Geometrically Nonlinear Structures -- Basis Functions Selection -- Form of the Reduced Order Model Equations -- Identification of the Stiffness Coefficients -- Nonparametric Uncertainty Modeling -- Effects of Uncertainty on a Cantilevered Structure -- Summary -- References -- Part 6 Structural Health Monitoring. , Decentralized Random Decrement Technique for Data Aggregation and System Identification in Wireless Smart Sensor Networks.

Note: Intro -- Contents -- Preface -- Index.