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Transitions in active rotator systems: invariant hyperbolic manifold approach
Active rotator model Coupled excitable systems Interacting diffusions FokkerPlanck PDE Normally hyperbolic manifolds Pulsating waves
2011/7/7
Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochastic dynami...
A large class of non constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold
Asymptotically hyperbolic manifold Constraint equations Conformal method
2011/3/2
We construct solutions of the constraint equation with non constant mean curvature on an
asymptotically hyperbolic manifold by the conformal method. Our approach consists in decreasing a certain expo...