| Presentation | 2014-01-21 Bifurcation of 2-Torus and its Covariant Lyapunov Bundle Observed in Coupled Oscillator System Kyohei KAMIYAMA, Motomasa KOMURO, Tetsuro ENDO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we'd like to explain covariant Lyapunov bundle (CLB) which is generalization of eigen vector for high dimensional torus (2-torus and more). A coupled oscillator system is given as an example of CLB. In continuous dynamical system, the CLB is obtained in both flow and Poincare section. We mainly take up the CLB in Poincare section because of the interpretative simplicity for the qualitative change of characteristic of phase space. Furthermore, in this paper, the computation target of CLB is 2-torus in flow. 2-torus in flow represents 1-torus in Poincare section, this 1-torus is called invariant closed curve (ICC). A CLB is a set of the covariant Lyapunov vectors (CLV) which come out from each points of ICC, and generally, since a set of CLV shapes bundle, we call this CLB. We demonstrate the 2-torus Neimark-Sacker (2-Torus Neimark-Sacker, T^2NS) bifurcation in a coupled oscillator system, and clarify the relationship with asynchronous degeneration. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | covariant Lyapunov bundle / Lyapunov exponent / coupled oscillator system / quasi-periodic solution / Neimark-Sacker bifurcation / asynchronous degeneration |
| Paper # | NLP2013-145 |
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| Committee | NLP |
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| Conference Date | 2014/1/14(1days) |
| Place (in Japanese) | (See Japanese page) |
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| 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) | Bifurcation of 2-Torus and its Covariant Lyapunov Bundle Observed in Coupled Oscillator System |
| Sub Title (in English) | |
| Keyword(1) | covariant Lyapunov bundle |
| Keyword(2) | Lyapunov exponent |
| Keyword(3) | coupled oscillator system |
| Keyword(4) | quasi-periodic solution |
| Keyword(5) | Neimark-Sacker bifurcation |
| Keyword(6) | asynchronous degeneration |
| 1st Author's Name | Kyohei KAMIYAMA |
| 1st Author's Affiliation | Electronics and Bioinfomatics, Meiji University() |
| 2nd Author's Name | Motomasa KOMURO |
| 2nd Author's Affiliation | Center for Fundamental Education, Teikyo University of Science |
| 3rd Author's Name | Tetsuro ENDO |
| 3rd Author's Affiliation | Electronics and Bioinfomatics, Meiji University |
| Date | 2014-01-21 |
| Paper # | NLP2013-145 |
| Volume (vol) | vol.113 |
| Number (no) | 383 |
| Page | pp.pp.- |
| #Pages | 3 |
| Date of Issue | |