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Nonlinear Dynamics and Stochastic Mechanics
About this Title
Wolfgang H. Kliemann, Iowa State University, Ames, IA, William F. Langford, University of Guelph, Guelph, ON, Canada and N. S. Namachchivaya, University of Illinois, Urbana-Champaign, Urbana, IL, Editors
Publication: Fields Institute Communications
Publication Year:
1996; Volume 9
ISBNs: 978-0-8218-0257-1 (print); 978-1-4704-2977-5 (online)
DOI: https://doi.org/10.1090/fic/009
MathSciNet review: MR1399102
MSC: Primary 00B25; Secondary 70-06, 73-06
ReadershipTable of Contents
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Front/Back Matter
Chapters
- Bappaditya Banerjee and Anil Bajaj – Chaotic responses in two degree-of-freedom systems with 1:2 internal resonances
- Lawrence Bergman, Billie Spencer, Steven Wojtkiewicz and Erik Johnson – Robust numerical solution of the Fokker-Planck equation for second order dynamical systems under parametric and external white noise excitations
- Christian Bucher – Stochastic stability of systems with random properties
- Stephen Crandall – Oil whirl and oil whip, nonlinear limit-cycle phenomena
- Earl Dowell and Andrew Katz – A basic explanation of homoclinic intersection in the twin-well duffing oscillator
- Norbert Hofmann and Eckhard Platen – Stability of superimplicit numerical methods for stochastic differential equations
- R Ibrahim and Y Yoon – Response statistics of nonlinear systems to parametric filtered white noise
- Rafail Khasminskii – On robustness of some concepts in stability of stochastic differential equations
- Y Li, I Elishakoff, J Starnes and M Shinozuka – Prediction of natural frequency and buckling load variability due to uncertainty in material properties by convex modeling
- Yuandan Lin and G Cai – Some results related to failure of stochastic structural systems
- P Meehan and S Asokanthan – Chaotic motion in a rotating body with internal energy dissipation
- Volker Wihstutz – Numerics for Lyapunov exponents of hypoelliptic linear stochastic systems
- Wei-Chau Xie and S Ariaratnam – Vibration mode localization in large randomly disordered continuous beams