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Bifurcation diagram of coupled thermoacoustic chaotic oscillators
Rémi Delage1, Yusuke Takayama1, Tetsushi Biwa1
1Department of Mechanical Engineering, Tohoku University, Sendai 980-8579, Japan.
Abstract:
A thermoacoustic chaotic oscillator is a fluid system that presents thermally induced chaotic oscillations of a gas column. This study experimentally reports a bifurcation diagram when two thermoacoustic chaotic oscillators are dissipatively coupled to each other. The two-parameter bifurcation diagram is constructed by varying the frequency mismatch and the coupling strength. Complete chaos synchronization is observed in the region with a frequency mismatch of less than 1% of the uncoupled oscillator. In other regions, synchronization between quasiperiodic oscillations and that between limit-cycle oscillations and amplitude death are observed as well as asynchronous states.
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