Time periodic spatial disorder in a complex Ginzburg{endash}Landau equation
- Institute of Applied Physics, Russian Academy of Science, 46 Uljanov Str., 603600 Nizhny Novgorod (Russia)
The phenomenon of time-periodic evolution of spatial chaos (1) is investigated in the frame of a one and two-dimensional complex Ginzburg{endash}Landau equation. It is found that there exists a region of the parameters at which a disordered spatial distribution of the field behaves periodically in time; the boundaries of this region are determined. A system of ordinary differential equations describing spatial disorder is derived. The effect of the size of the system on the shape and period of oscillations is investigated. It is established that in a two-dimensional case the regime of time periodic spatial disorder arises only in the narrow band and the critical width of the band is estimated. The phenomenon investigated in this paper indicates that a family of limit cycles with finite basins may exist in the functional phase space of complex Ginzburg{endash}Landau equation in finite regions of the parameters. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 401103
- Report Number(s):
- CONF-950730--
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 375; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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