Abstract
We modify the spin-flip dynamics of a Curie-Weiss model with dissipative interaction potential [7] by adding a site-dependent i.i.d. random magnetic field. The purpose is to analyze how the addition of the field affects the time-evolution of the observables in the macroscopic limit. Our main result shows that a Bautin bifurcation point exists and that, whenever the field intensity is sufficiently strong and the temperature sufficiently low, a periodic orbit emerges through a global bifurcation in the phase space, giving origin to a large-amplitude rhythmic behavior.
Original language | English |
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Pages (from-to) | 478-491 |
Number of pages | 14 |
Journal | Journal of Statistical Physics |
Volume | 176 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2019 |
Keywords
- Bautin bifurcation
- Collective noise-induced periodicity
- Disordered systems
- Mean-field interaction
- Non-equilibrium systems
- Random potential
- Saddle-node bifurcation of periodic orbits