Gluing bifurcations in critical flows: The route to chaos in parametrically excited surface waves

Ehud Meron, Itamar Procaccia

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

It is shown that the system of parametrically excited surface waves falls into the class of critical flows whose dynamics and transition to chaos can be understood from first-return maps derived in the vicinity of one saddle point in phase space. The onset of chaos is via gluing bifurcations, which are also common to Lorenz-like flows, but these are intermingled here with usual period-doubling bifurcations. Similar parametrically excited systems might show the full array of routes to chaos which appear in critical flows.

Original languageEnglish
Pages (from-to)4008-4011
Number of pages4
JournalPhysical Review A
Volume35
Issue number9
DOIs
StatePublished - 1 Jan 1987
Externally publishedYes

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