Transition from non-periodic to periodic explosions
2015 ◽
Vol 373
(2056)
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pp. 20150114
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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).
2008 ◽
Vol 77
(7)
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pp. 074401
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