TY  - JOUR
A1  - Zillmer, Rüdiger
A1  - Ahlers, Volker
A1  - Pikovskij, Arkadij
T1  - Scaling of Lyapunov exponents of coupled chaotic systems
N2  - 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.
Y1  - 2000
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/19885
ER  -