Routes to complex dynamics in a ring of unidirectionally coupled systems
Please always quote using this URN:urn:nbn:de:0296-matheon-6649
- We study the dynamics of a ring of unidirectionally coupled autonomous Duffing oscillators. Starting from a situation where the individual oscillator without coupling has only trivial equilibrium dynamics, the coupling induces complicated transitions to periodic, quasiperiodic, chaotic, and hyperchaotic behavior. We study these transitions in detail for small and large numbers of oscillators. Particular attention is paid to the role of unstable periodic solutions for the appearance of chaotic rotating waves, spatiotemporal structures and the Eckhaus effect for a large number of oscillators. Our analytical and numerical results are confirmed by a simple experiment based on the electronic implementation of coupled Duffing oscillators.
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| Author: | Przemyslaw Perlikowski, Serhiy Yanchuk, Matthias Wolfrum, Andrzej Stefanski, Przemyslaw Mosiolek, Tomasz Kapitaniak |
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| URN: | urn:nbn:de:0296-matheon-6649 |
| Referee: | Alexander Mielke |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2009/10/14 |
| Release Date: | 2009/10/14 |
| Tag: | |
| Institute: | Humboldt-Universität zu Berlin |
| Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) | |
| Preprint Number: | 667 |
