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Dynamics of a Ring of Diffusively Coupled Lorenz Oscillators |
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| Authors: | Josić Krešimir Wayne C. Eugene |
| Affiliation: | (1) Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania;(2) Present address: Department of Mathematics, Boston University, Boston, Massachusetts, 02215;(3) Department of Mathematics, Boston University, Boston, Massachusetts, 02215 |
| Abstract: | We study the dynamics of a finite chain of diffusively coupled Lorenz oscillators with periodic boundary conditions. Such rings possess infinitely many fixed states, some of which are observed to be stable. It is shown that there exists a stable fixed state in arbitrarily large rings for a fixed coupling strength. This suggests that coherent behavior in networks of diffusively coupled systems may appear at a coupling strength that is independent of the size of the network. |
| Keywords: | chains of chaotic oscillators chaotic synchronization fixed states in lattices |
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