Phase Space Compression in One-Dimensional Complex Ginzburg--Landau Equation
GAO Ji-Hua1, PENG Jian-Hua2
1Shenzhen Key Laboratory of Special Functional Materials, College of Materials, Shenzhen University, Shenzhen 5180602College of Physics, Shenzhen University, Shenzhen 518060
Phase Space Compression in One-Dimensional Complex Ginzburg--Landau Equation
GAO Ji-Hua1;PENG Jian-Hua2
1Shenzhen Key Laboratory of Special Functional Materials, College of Materials, Shenzhen University, Shenzhen 5180602College of Physics, Shenzhen University, Shenzhen 518060
摘要The transition from stationary to oscillatory states in dynamical systems under phase space compression is investigated. By considering the model for the spatially one-dimensional complex Ginzburg--Landau equation, we find that defect turbulence can be substituted with stationary and oscillatory signals by applying system perturbation and confining variable into various ranges. The transition procedure described by the oscillatory frequency is studied via numerical simulations in detail.
Abstract：The transition from stationary to oscillatory states in dynamical systems under phase space compression is investigated. By considering the model for the spatially one-dimensional complex Ginzburg--Landau equation, we find that defect turbulence can be substituted with stationary and oscillatory signals by applying system perturbation and confining variable into various ranges. The transition procedure described by the oscillatory frequency is studied via numerical simulations in detail.
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2007, Vol. 24 
