Keller G, Künzle M, Nowicki T (1992)
Publication Type: Journal article, Original article
Publication year: 1992
Publisher: Elsevier
Book Volume: 59
Pages Range: 39--51
Journal Issue: 1-3
DOI: 10.1016/0167-2789(92)90205-2
We study finite coupled map lattices of size d ⩾ 2 with individual maps τ: [0, 1] → [0, 1] and constant diffuse coupling. For τ (x) = 2x mod 1 we give sufficient conditions that the coupled system has a continuum of ergodic components. In the case d = 2 we determine the number of ergodic components for all coupling strengths. If τ is a mixing tent map close to the transition from mixing to a periodic interval with period 2, the uncoupled system is mixing, whereas numerical studies suggest that coupling with a suitable strength breaks up the phase space into domains which are interchanged with period 2. In case d = 2 we prove this rigorously.
APA:
Keller, G., Künzle, M., & Nowicki, T. (1992). Some phase transitions in coupled map lattices. Physica D-Nonlinear Phenomena, 59(1-3), 39--51. https://dx.doi.org/10.1016/0167-2789(92)90205-2
MLA:
Keller, Gerhard, Martin Künzle, and Tomasz Nowicki. "Some phase transitions in coupled map lattices." Physica D-Nonlinear Phenomena 59.1-3 (1992): 39--51.
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