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MULTISTABILITY IN NETWORKS OF WEAKLY COUPLED BISTABLE UNITS
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UNSPECIFIED (1995) MULTISTABILITY IN NETWORKS OF WEAKLY COUPLED BISTABLE UNITS. PHYSICA D, 82 (3). pp. 243-254. ISSN 0167-2789.
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Abstract
We study the stationary states of networks consisting of weakly coupled bistable units. We prove the existence of a high multiplicity of stable steady states in networks with very general inter-unit dynamics. We present a method for estimating the critical coupling strength below which these stationary states persist in the network. In some cases, the presence of time-independent localized states in the system can be regarded as a 'propagation failure' phenomenon. We analyse this type of behaviour in the case of diffusive networks whose elements are described by one or two variables and give concrete examples.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 15 April 1995 | ||||
Dates: |
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Volume: | 82 | ||||
Number: | 3 | ||||
Number of Pages: | 12 | ||||
Page Range: | pp. 243-254 | ||||
Publication Status: | Published |
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