Effects of Local Fields in a Dissipative Curie-Weiss Model

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Effects of Local Fields in a Dissipative Curie-Weiss Model

Bautin Bifurcation and Large Self-sustained Oscillations

Journal Article (2019)

Author(s)

Francesca Collet (TU Delft - Applied Probability, Università degli Studi di Padova)

Marco Formentin (Padova Neuroscience Center, Università degli Studi di Padova)

Mean-field interaction Bautin bifurcation Collective noise-induced periodicity Disordered systems Non-equilibrium systems Random potential Saddle-node bifurcation of periodic orbits

DOI related publication

https://doi.org/10.1007/s10955-019-02310-7 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:94cb2a99-a191-4ee8-97fb-05a12ecd9dad

More Info

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Publication Year

2019

Language

English

Issue number

2

Volume number

176

Pages (from-to)

478-491

Downloads counter

103

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.