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Effective dynamicsof a coupled microscopic-macroscopic stochastic system
microscopic-macroscopic stochastic system math
2010/11/18
A conceptual model for microscopic-macroscopic slow-fast stochastic systems is considered. A dynamical reduction procedure is presented in order to extract effective dynamics for this kind of systems....
Finite dimensional global and exponential attractors for a coupled time-dependent Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover
Finite dimensional global exponential attractors
2010/11/9
We study a coupled nonlinear evolution system arising from the Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover. First, we prove that the initial boundary value problem genera...
Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings
Unexpected systematic degeneracy two coupled Gaudin models homogeneous couplings
2010/12/15
We report an unexpected systematic degeneracy between di erent multiplets in an inversion symmetric system of two coupled Gaudin models with homogeneous couplings, as occurring for example in the cont...
Stability and Bifurcation Analysis of Coupled Fitzhugh-Nagumo Oscillators
Coupled Fitzhugh-Nagumo Oscillators Hindmarsh-Rose Discriminant Variety Morris-Lecar
2010/4/1
Neurons are the central biological objects in understanding how the brain works. The famous Hodgkin-Huxley model, which describes how action potentials of a neuron are initiated and propagated, consis...