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IUTAM symposia represent the state of the art in their topic;
This volume sets the standard for 5-7 years ahead;
Contributions by leading experts in the world.
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.
Preface; Contributed Papers: PART 1 Response and reliability of nonlinear stochastic systems: G. Q. Cai and Y. K. Lin: Nonlinear stochastic ecosystem of two competing species; M. L. Deng and W. Q. Zhu: Energy transition rate at peptide-bond using stochastic averaging method; G. K. Er and V. P. Iu: A new method for the probabilistic solutions of large-scale nonlinear stochastic dynamic systems; X. L. Jin and Z. L. Huang: Approximate non-stationary probability densities of nonlinear multi-degree-of-freedom systems under Gaussian white noise excitations; C. H. Loh, J.H. Weng, C.H. Chen and Y.W. Chang: Feature extraction within the Feitsui Arch dam under environmental variations; V. V. Malanin and I. E. Poloskov: About some schemes of study for systems with different forms of time after effect; A. Naess, D. Iourtchenko, and O. Batsevych: Reliability of linear and nonlinear dynamic systems under multiplicative and additive noise; S. Narayanan and P. Kumar: Numerical solutions of Fokker-Planck equation for nonlinear stochastic dynamical systems; P. D. Spanos and I. Kougioumtzoglou: An approximate approach for nonlinear system response evolutionary spectrum determination via wavelets; K. Sobczyk and P. Holobut: On information/entropy flow in stochastic dynamical systems; J. Q. Sun: Finite dimensional Markov process approximation for stochastic time-delayed dynamical systems; C. W. S. To: Response analysis of nonlinear multi-degree-of-freedom systems to non-Gaussian random excitations; M. Vasta and M. Di Paola: Stationary and Nontationary Response Probability Density Function of a Beam under Poisson White Noise; W. Xu, C.Y. Sun and H. Q. Zhang: Steady state analysis of stochastic systems with multiple time delays; Y. Zeng and W. Q. Zhu: Stochastic averaging of nonlinear systems under non-Gaussian random excitation; PART 2 Stability, bifurcation and chaos of nonlinear stochastic systems: M. F. Dimentberg, A. Hera and A. Naess: Marginal instability and intermittency in stochastic systems; T. Fang , C.L. Wu and X.L. Yang: A practical strategy for studying stochastic chaos; C. B. Gan: Fractal basin boundaries and chaotic dynamics in the randomly-driven Henon-Heiles oscillator; S. H. Li and X. B. Liu: Moment Lyapunov exponent for a three-dimensional stochastic system; N. Gaus and C. Proppe: Bifurcation analysis of stochastic non-smooth systems; PART 3 Resonance and synchronization of nonlinear stochastic systems: X. J. Sun and Q. S. Lu: Synchronization behavior of a clustered neuronal network in a noisy environment; W. Wedig: Stochastic parameter resonance of road-vehicle systems and related bifurcation problems; Y. B. Yang and B. H. Xu: A review of parameter-induced stochastic resonance and its current applications in two-dimensional image processing; PART 4 Control of nonlinear stochastic systems: V. Gattulli, M. Lepidi and F. Potenza: Design of damper viscous properties for semi-active control of asymmetric structures; P. Kaczynski and L. Socha: Iterative procedures in application of the LQGP approach to the Duffing oscillator; Z. H. Liu and W. Q. Zhu: Stochastic optimal time-delayed control and stabilization of quasi-integrable Hamiltonion systems; PART 5 Modeling of stochastic dynamical systems and stochastic excitations: J. Li, Q. Yan, and J.B.Chen: Modeling of stochastic dynamic excitations and the probability density evolution theory for nonlinear stochastic dynamics; G. I. Schuëller and B. Goller: On the consideration of model uncertainties in model updating of dynamic systems; X. Q. Wang, M. P. Mignolet, C. Soize and V. Khanna: Stochastic reduced order models for uncertain infinite-dimensional geometrically nonlinear dynamical systems - stochastic excitation cases; PART 6 Structural health monitoring: S.H. Sim, B.F. Spencer, Jr., H. Jo, and J.F. Carbonell-Márquez: Decentralized random decrement technique for data aggregation and system identification in wireless smart sensor networks; R. Zhang, S. Al Hilali, A. Abdulla and M. Al Kurbi: A wave-based approach for seismic response analyses of high-rise buildings; List of Participants