| Presentation | 2002/8/27 Stochastic bifurcation analysis of a chaotic map in the presence of noise Tomokazu HAYASHI, Shinji DOI, Sadatoshi KUMAGAI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We analyze the stochastic bifurcation phenomena in the presence of noise by using one-dimensional discrete-time dynamical systems. The evolution of probability density functions by the noisy Frobenius-Perron(FP) operator can describe the change of state in the system. A classical definition of a stochastic bifurcation of systems is based on the qualitative change of topological shapes of invariant densities. The invariant density or the eigenfunction of an eigenvalue 1 of the operator possesses only "static" information of the system while the other eigenvalues and eigenfunctions have "dynamic" information. We analyze the bifurcation and chaotic phenomena of the stochastic systems in terms of the eigenvalues in detail. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | bifurcation / Frobenius-Perron operator / chaos / noise |
| Paper # | NLP2002-39 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2002/8/27(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Stochastic bifurcation analysis of a chaotic map in the presence of noise |
| Sub Title (in English) | |
| Keyword(1) | bifurcation |
| Keyword(2) | Frobenius-Perron operator |
| Keyword(3) | chaos |
| Keyword(4) | noise |
| 1st Author's Name | Tomokazu HAYASHI |
| 1st Author's Affiliation | Department of Electrical Eng., Osaka University() |
| 2nd Author's Name | Shinji DOI |
| 2nd Author's Affiliation | Department of Electrical Eng., Osaka University |
| 3rd Author's Name | Sadatoshi KUMAGAI |
| 3rd Author's Affiliation | Department of Electrical Eng., Osaka University |
| Date | 2002/8/27 |
| Paper # | NLP2002-39 |
| Volume (vol) | vol.102 |
| Number (no) | 297 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |