Suppression of chaos in a simplified nonlinear dynamo model

E. Stone, M. Gorman, M. El-Hamdi, K. A. Robbins

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


Cellular flames stabilized on a porous plug burner at low pressure form ordered patterns consisting of concentric rings of cells. In certain regions of the parameter space of propane-air mixtures, ordered patterns appear intermittently. In these states, patterns of concentric rings persist for varying lengths of time, abruptly dissolve into highly irregular structures with no discernible ring pattern, and then reappear as ordered patterns with the same or slightly different numbers of cells. Experimental evidence and theoretical arguments show that these intermittently ordered states correspond to a network of heteroclinic connections among unstable equilibria.

Original languageEnglish
Pages (from-to)2061-2064
Number of pages4
JournalPhysical Review Letters
Issue number12
StatePublished - 1996


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