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Boundaries of Existence for Pulsating Solitons in Dissipative Systems

Nail AkhmedievOptical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, ACT 0200, AustraliaE. N. TsoyOptical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, ACT 0200, Australia

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Stationary to pulsating soliton bifurcation analysis of the complex Ginzburg-Landau equation based on a reduction to finite dimensional system is presented. It allowes to find, approximately, the boundaries of existence for pulsating solitons.

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