2 problems
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Open sets of monotone ballistic trajectories in ABC flows
Consider initial conditions for the ABC flow in the non-KAM region. Principal-vortex conjecture. There exists an open set of positive measure of initial conditions such that (o…
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Existence of ballistic solutions for every positive perturbation
Let be a solution of the ABC flow with perturbation parameter , and let be a period modulo a lattice translation in the - and …