Front and pulse solutions for the complex Ginzburg-Landau equation with higher-order terms

2002 ◽  
Vol 66 (6) ◽  
Author(s):  
Huiping Tian ◽  
Zhonghao Li ◽  
Jinping Tian ◽  
Guosheng Zhou
Keyword(s):  
Landau Equation ◽  
Higher Order ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Higher Order Terms

scholarly journals Transition from non-periodic to periodic explosions

2015 ◽  
Vol 373 (2056) ◽  
pp. 20150114 ◽  
Author(s):  
Carlos Cartes ◽  
Orazio Descalzi
Keyword(s):  
Transmission Lines ◽  
Landau Equation ◽  
Period Doubling ◽  
Higher Order ◽  
Ginzburg Landau ◽  
Equation Modelling ◽  
Ginzburg Landau Equation ◽  
Dissipative Solitons ◽  
Soliton Transmission ◽  
Period Doubling Bifurcations

We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic–quintic Ginzburg–Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by period-doubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).

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