Multiplicity of Limit Cycle Attractors in Coupled Heteroclinic Cycles
نویسندگان
چکیده
منابع مشابه
Multiplicity of Limit Cycle Attractors in Coupled Heteroclinic Cycles
A square lattice distribution of coupled oscillators that have heteroclinic cycle attractors is studied. In this system, we find a novel type of patterns that is spatially disordered and periodic in time. These patterns are limit cycle attractors in the ambient phase space (i.e. not chaotic) and many limit cycles exist dividing the phase space as their basins. The patterns are constructed with ...
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We investigate two coupled oscillators, each of which shows an attracting heteroclinic cycle in the absence of coupling. The two heteroclinic cycles are nonidentical. Weak coupling can lead to the elimination of the slowing-down state that asymptotically approaches the heteroclinic cycle for a single cycle, giving rise to either quasiperiodic motion with separate frequencies from the two cycles...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 2003
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.109.133