Amritkar, R. E. ; Gade, P. M. ; Gangal, A. D. ; Nandkumaran, V. M. (1991) Stability of periodic orbits of coupled-map lattices Physical Review A, 44 (6). R3407-R3410. ISSN 1050-2947
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Official URL: http://pra.aps.org/abstract/PRA/v44/i6/pR3407_1
Related URL: http://dx.doi.org/10.1103/PhysRevA.44.R3407
Abstract
We consider the stability properties of spatial and temporal periodic orbits of one-dimensional coupled-map lattices. The stability matrices for them are of the block-circulant form. This helps us to reduce the problem of stability of spatially periodic orbits to the smaller orbits corresponding to the building blocks of spatial periodicity, enabling us to obtain the conditions for stability in terms of those for smaller orbits.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 461 |
| Deposited On: | 21 Sep 2010 10:37 |
| Last Modified: | 16 May 2016 11:41 |
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