K W Chung and Xiaoping Yuan 2008 Nonlinearity 21 435 doi:10.1088/0951-7715/21/3/004
Periodic and quasi-periodic solutions for the complex Ginzburg–Landau equation
K W Chung1 and Xiaoping Yuan2
Show affiliationsRecommended by R de la Llave
In this paper, we prove that there are a continuous branch of periodic solutions and a Cantorian branch of quasi-periodic solutions for the complex Ginzburg–Landau equation for some coefficients of the linear driving term and the dissipation term and these solutions are normally hyperbolic.
- PACS
- MSC
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37C55 Periodic and quasiperiodic flows and diffeomorphisms
37Gxx Local and nonlocal bifurcation theory (See also 34C23, 34K18)
- Subjects
- Dates
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Issue 3 (March 2008)
Received 27 April 2007, in final form 16 January 2008
Published 11 February 2008
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Periodic and quasi-periodic solutions for the complex Ginzburg–Landau equation
K W Chung and Xiaoping Yuan 2008 Nonlinearity 21 435
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