DC Field | Value | Language |
---|---|---|
dc.contributor.author | Moon, Hie-Tae | ko |
dc.contributor.author | Huerre, P. | ko |
dc.contributor.author | Redekopp, L.G. | ko |
dc.date.accessioned | 2013-02-27T05:32:37Z | - |
dc.date.available | 2013-02-27T05:32:37Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1983-05 | - |
dc.identifier.citation | PHYSICA D: NONLINEAR PHENOMENA, v.7, no.1-3, pp.135 - 150 | - |
dc.identifier.issn | 0167-2789 | - |
dc.identifier.uri | http://hdl.handle.net/10203/66738 | - |
dc.description.abstract | The amplitude evolution of instability waves in many dissipative systems is described close to criticality, by the Ginzburg-Landau partial differential equation. A numerical study of the long-time behavior of amplitude-modulated waves governed by this equation allows the identification of two distinct routes of the Ruelle-Takens-Newhouse type as the modulation wavenumber is decreased. The first route involves a sequence of bifurcations from a limit cycle to a two-torus to a three-torus and to a turbulent régime, the last stage being preceded by frequency locking. The turbulent régime is itself followed by a new two-torus. In the second route, this two-torus exhibits a single subharmonic bifurcation which immediately results in transition to chaos. A description of the various possible dynamical states is tentatively given in the plane of the two control parameters cd and cn. © 1983. | - |
dc.language | English | - |
dc.publisher | Elsevier | - |
dc.title | Transitions to chaos in the Ginzburg-Landau equation | - |
dc.type | Article | - |
dc.identifier.scopusid | 2-s2.0-0001637513 | - |
dc.type.rims | ART | - |
dc.citation.volume | 7 | - |
dc.citation.issue | 1-3 | - |
dc.citation.beginningpage | 135 | - |
dc.citation.endingpage | 150 | - |
dc.citation.publicationname | PHYSICA D: NONLINEAR PHENOMENA | - |
dc.contributor.localauthor | Moon, Hie-Tae | - |
dc.contributor.nonIdAuthor | Huerre, P. | - |
dc.contributor.nonIdAuthor | Redekopp, L.G. | - |
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