IUTAM Symposium on Nonlinear Stochastic Dynamics: Proceedings of the IUTAM Symposium held in Monticello, Illinois, U.S.A., 26–30 August 2002

Front Matter....Pages i-xix
Front Matter....Pages 1-3
Linear and Nonlinear Diffusion Approximation of the Slow Motion in Systems with Two Time Scales....Pages 5-18
Experiments on Large Fluctuations....Pages 19-28
Stochastic Averaging: Some Methods and Applications....Pages 29-41
Noise Sensitivity of Stochastic Resonance and Other Problems Related to Large Deviations....Pages 43-55
The Reduction of Potential Diffusions to Finite State Markov Chains and Stochastic Resonance....Pages 57-69
Metastability of Diffusion Processes....Pages 71-81
Stochastic Averaging Near Homoclinic Orbits Via Singular Perturbations....Pages 83-94
Front Matter....Pages 95-96
Stochastic Stability of Coupled Oscillators in Internal Resonance....Pages 97-110
Dynamics of Globally Coupled Noisy Excitable Elements: The Fitzhugh-Nagumo Case....Pages 111-124
Lyapunov Exponents and Stability for the Stochastic Duffing-Van der Pol Oscillator....Pages 125-135
Slow Sweep Through a Period-Doubling Cascade: An Example of a Noisy Parametric Bifurcation....Pages 137-146
Multi-Scale Analysis of Noise-Sensitivity Near a Bifurcation....Pages 147-156
Hopf Meets Hamilton Under Whitney’s Umbrella....Pages 157-165
Stochastic Stability of Two Coupled Oscillators in Resonance....Pages 167-177
On Stabilizing the Double Oscillator by Mean Zero Noise....Pages 179-190
Stability of a Two-Dimensional System Under Combined Harmonic and Real Noise Parametric Excitations....Pages 191-201
Front Matter....Pages 203-204
The Distributed Nonlinear Stochastic World of Networks....Pages 205-216
Noise Effects in Nonlinear System Identification with Applications to Structures and Systems with Viscoelastic Elements....Pages 217-225
Structural Vibration Mitigation Using Dissipative Smart Damping Devices....Pages 227-236
On Parameter Estimation for Linear and Nonlinear Stochastic Systems....Pages 237-245
Front Matter....Pages 203-204
Control Against Large Deviation for Oscillatory Systems....Pages 247-256
On Parameter Analysis of the Differential Model of Hysteresis....Pages 257-268
Stochastic Parameter Estimation of Non-Linear Systems....Pages 269-278
Lyapunov Exponent and Stability of Optimally Controlled Quasi Partially Integrable Hamiltonian Systems....Pages 279-288
Front Matter....Pages 289-290
Stochastic Resonance: From Earth’s Ice Ages to Human Sensory Systems....Pages 291-298
Response Spectral Densities of Systems Under Both Additive and Multiplicative Excitations....Pages 299-306
Stochastic Lotka-Volterra System....Pages 307-317
Dynamic Systems Driven by Poisson/Lévy White Noise....Pages 319-330
Stochastic Dynamics of Friction- Induced Vibration in Disc Brakes....Pages 331-342
Dynamical Systems with Multiplicative Random Impulse Process Excitation....Pages 343-352
Multiscale Impact Models: Multibody Dynamics and Wave Propagation....Pages 353-362
Use of Orthogonal Decomposition of Data-Based Excitation Processes for Nonstationary Response of Nonlinear Systems....Pages 363-373
Hilbert Spectral Description and Simulation of Nonstationary Random Processes....Pages 375-384
Front Matter....Pages 385-386
Random Vibrations of Riding Cars with Bilinear Damping....Pages 387-399
Solutions of the First-Passage Problem by Importance Sampling....Pages 401-413
Passive Fields and Particles in Chaotic Flows....Pages 415-424
Sample Point Uniformity Using Discrepancy Measures....Pages 425-434
Kinks in a Stochastic PDE....Pages 435-443
Path Integration as a Tool for Investigating Chaotic Behaviour....Pages 445-454
Time-Varying Cardiovascular Oscillations....Pages 455-464
Back Matter....Pages 465-467