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Titlebook: IUTAM Symposium on Nonlinear Stochastic Dynamics; Proceedings of the I N. Sri Namachchivaya,Y. K. Lin Conference proceedings 2003 Springer

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樓主: 卑賤
31#
發(fā)表于 2025-3-27 00:46:15 | 只看該作者
Slow Sweep Through a Period-Doubling Cascade: An Example of a Noisy Parametric Bifurcationoise, which is inherent in any system, both in experiments and in numerical simulations, is actually necessary in some cases to trigger the change in response from the initial form to the bifurcated form. This is the case for example when the initial form of the solution continues to exist even thou
32#
發(fā)表于 2025-3-27 03:54:08 | 只看該作者
Multi-Scale Analysis of Noise-Sensitivity Near a Bifurcationtical point, such as a Hopf bifurcation, which marks a transition to oscillatory behavior. In particular, we are interested in the case when the combined effects of the noise and the bifurcation amplify oscillations which would decay in the deterministic system. The derivation of reduced equations f
33#
發(fā)表于 2025-3-27 05:43:27 | 只看該作者
34#
發(fā)表于 2025-3-27 09:41:09 | 只看該作者
35#
發(fā)表于 2025-3-27 15:53:44 | 只看該作者
Stability of a Two-Dimensional System Under Combined Harmonic and Real Noise Parametric Excitationsocess, is studied through the determination of the moment Lyapunov exponents and the Lyapunov exponents. The influence of the real noise excitation on the primary parametric resonance due to the harmonic excitation is investigated.
36#
發(fā)表于 2025-3-27 19:59:25 | 只看該作者
37#
發(fā)表于 2025-3-27 23:36:42 | 只看該作者
N. Sri Namachchivaya,N. Ramakrishnan,H. J. Van Roessel,L. Vedula
38#
發(fā)表于 2025-3-28 06:07:08 | 只看該作者
39#
發(fā)表于 2025-3-28 06:21:04 | 只看該作者
The Reduction of Potential Diffusions to Finite State Markov Chains and Stochastic Resonanceted with a two state Markov chain whose periodic hopping rates between the potential minima mimic the large (spatial) scale motion of the diffusion. Only if small scale fluctuations inside the potential wells where the diffusion spends most of its time are carefully eliminated, the reduced dynamics
40#
發(fā)表于 2025-3-28 11:33:58 | 只看該作者
Slow Sweep Through a Period-Doubling Cascade: An Example of a Noisy Parametric Bifurcation type of behaviour to another, that is, from the now unstable original form to the stable bifurcated form. The innermost expansion in each case describes how noise is necessary to trigger exponential growth for example of period-2 response away from the locally unstable period-1 response; the mean-s
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