https://doi.org/10.1007/s100510170086
Coupling induced topological transition in a ring of chaotic oscillators
1
The Abdus Salam International Centre for Theoretical Physics, PO Box
586, 34100 Trieste, Italy
2
Department of Physics, Beijing Normal University, Beijing 100875, PR China
Corresponding author: a yzhang@ictp.trieste.it
Received:
15
March
2001
Published online: 15 September 2001
A ring of diffusively coupled Rössler oscillators, which can develop the conventional rotating wave from high-dimensional chaos by increasing the coupling ξ continuously is studied. The chaotic generator for the rotating wave emerges around ξ=ξ0, where the topological transition induced by the coupling not only changes the topological structure of all the oscillators, which share a common strange attractor, but also changes them into being different from each other. Starting from this transition, infinitely long range temporal correlation and spatial order in the style of antiphase state are established gradually, which gives rise to the chaotic generator of the rotating wave.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.Jn – High-dimensional chaos
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
