Gluing bifurcations in critical flows: the route to chaos in parametrically excited surface waves Academic Article uri icon

abstract

  • 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.

publication date

  • May 1, 1987