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Steklov Mathematical Institute Seminar
April 16, 2009 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Dynamics in a stochastic layer

D. V. Treschev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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D. V. Treschev
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Abstract: Stochastic layer is a physical term for a dynamically invariant domain in which separatrices of a hyperbolic fixed point of a near-integrable two-dimensional symplectic map are situated. This domain is bounded by 3 invariant curves and has the form of a “thick eight”. In this construction the hyperbolic fixed point can be replaced by a hyperbolic periodic point.
 
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