Refine
Has Fulltext
- no (517) (remove)
Year of publication
- 2000 (517) (remove)
Document Type
- Article (425)
- Monograph/Edited Volume (68)
- Doctoral Thesis (22)
- Review (2)
Language
- English (517) (remove)
Is part of the Bibliography
- yes (517)
Institute
- Institut für Physik und Astronomie (125)
- Institut für Biochemie und Biologie (68)
- Institut für Mathematik (62)
- Institut für Informatik und Computational Science (35)
- Wirtschaftswissenschaften (33)
- Department Psychologie (30)
- Institut für Chemie (27)
- Institut für Geowissenschaften (27)
- Department Linguistik (23)
- Institut für Ernährungswissenschaft (19)
We develop a statistical theory of the coupling sensitivity of chaos. The effect was first described by Daido [Prog. Theor. Phys. 72, 853 (1984)]; it appears as a logarithmic singularity in the Lyapunov exponent in coupled chaotic systems at very small couplings. Using a continuous-time stochastic model for the coupled systems we derive a scaling relation for the largest Lyapunov exponent. The singularity is shown to depend on the coupling and the systems' mismatch. Generalizations to the cases of asymmetrical coupling and three interacting oscillators are considered, too. The analytical results are confirmed by numerical simulations.