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Amplitude death in a pair of one-dimensional complex Ginzburg-Landau systems coupled by diffusive connections

2017; American Physical Society; Volume: 95; Issue: 6 Linguagem: Inglês

10.1103/physreve.95.062220

2470-0061

Teki Hakui, Keiji Konishi, Naoyuki Hara,

Chaos control and synchronization

This paper shows that, in a pair of one-dimensional complex Ginzburg-Landau (CGL) systems, diffusive connections can induce amplitude death. Stability analysis of a spatially uniform steady state in coupled CGL systems reveals that amplitude death never occurs in a pair of identical CGL systems coupled by no-delay connection, but can occur in the case of delay connection. Moreover, amplitude death never occurs in coupled identical CGL systems with zero nominal frequency. Based on these analytical results, we propose a procedure for designing the connection delay time and the coupling strength to induce spatial-robust stabilization, that is, a stabilization of the steady state for any system size and any boundary condition. Numerical simulations are performed to confirm the analytical results.