Multiplicity of Limit Cycle Attractors in Coupled Heteroclinic Cycles | Zendy

Masashi Tachikawa | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Multiplicity of Limit Cycle Attractors in Coupled Heteroclinic Cycles

Author(s) -

Masashi Tachikawa

Publication year - 2003

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.109.133

Subject(s) - attractor , physics , heteroclinic cycle , limit cycle , phase space , limit (mathematics) , multiplicity (mathematics) , heteroclinic bifurcation , chaotic , statistical physics , mathematical analysis , bifurcation , quantum mechanics , mathematics , hopf bifurcation , homoclinic orbit , artificial intelligence , computer science , nonlinear system

A square lattice distribution of coupled oscillators that have heterocliniccycle attractors is studied. In this system, we find a novel type of patternsthat is spatially disordered and periodic in time. These patterns are limitcycle attractors in the ambient phase space (i.e. not chaotic) and many limitcycles exist dividing the phase space as their basins. The patterns areconstructed with a local law of difference of phases between the oscillators.The number of patterns grows exponentially with increasing of the number ofoscillators.Comment: 10 pages, 6 figure

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research