Stabilization of causally and non-causally coupled map lattices

Harald Atmanspacher and Herbert Scheingraber

Physica A: Statistical Mechanics and its Applications, 2005, vol. 345, issue 3, 435-447

Abstract: Two-dimensional coupled map lattices have global stability properties that depend on the coupling between individual maps and their neighborhood. The action of the neighborhood on individual maps can be implemented in terms of “causal” coupling (to spatially distant past states) or “non-causal” coupling (to spatially distant simultaneous states). In this contribution we show that globally stable behavior of coupled map lattices is facilitated by causal coupling, thus indicating a surprising relationship between stability and causality. The influence of causal versus non-causal coupling for synchronous and asynchronous updating as a function of coupling strength and for different neighborhoods is analyzed in detail.

Keywords: Coupled map lattices; Stabilization; Causality (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:345:y:2005:i:3:p:435-447

DOI: 10.1016/j.physa.2004.07.020

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