3:00 PM-5:00 PM Ballroom I - Level B
Homoclinic and heteroclinic cycles are common in nonlinear dynamics, usually arising in global bifurcations but also occurring, in a structurally stable way, in some systems with symmetry. Introduction of noise to systems that exhibit homoclinic/heteroclinic phenomena can result in qualitative changes in the dynamics, with the appearance of new characteristic timescales and the masking of chaotic behaviour being common. Because deterministic equations usually are not precise descriptions of physical systems, it is important in applications to know which features of the deterministic dynamics persist under the addition of noise. This minisymposium looks at the effect of noise on a number of systems that have homoclinic, heteroclinic, or related phenomena. Various approaches will be discussed, including methods based on stochastic differential equations, Fokker-Planck equations, and numerical integration/simulation.
Organizers: Vivien Kirk, University of Auckland, New Zealand; and Emily Stone, Utah State University
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