| Presentation | 2003/7/7 How much nonlinearity is necessary for complex behavior? V.B. Ryabov, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The analytical conditions for the appearance of chaotic motion in a broad class of nonlinear oscillatory systems are analyzed by means of Lyapunov exponents. It is shown that any instability, like, e.g., saddle-node bifurcations, period-doubling cascades or chaotic behavior can occur when the amplitude of motion exceeds certain threshold, defined by the tradeoff between nonlinearity and damping. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | dissipation / nonlinearity / Lyapunov exponents / stability / bifurcation / nonlinear oscillator |
| Paper # | NLP2003-34 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2003/7/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | How much nonlinearity is necessary for complex behavior? |
| Sub Title (in English) | |
| Keyword(1) | dissipation |
| Keyword(2) | nonlinearity |
| Keyword(3) | Lyapunov exponents |
| Keyword(4) | stability |
| Keyword(5) | bifurcation |
| Keyword(6) | nonlinear oscillator |
| 1st Author's Name | V.B. Ryabov |
| 1st Author's Affiliation | Dept. of Complex Systems, Future University - Hakodate() |
| Date | 2003/7/7 |
| Paper # | NLP2003-34 |
| Volume (vol) | vol.103 |
| Number (no) | 185 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |