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Speaker:
Yakov Pesin
Zugehörigkeit:
Penn State University
Datum:
Die, 29/05/2018 - 15:00 - 16:00
Location:
MPIM Seminar Room
Parent event:
Oberseminar Differentialgeometrie I will discuss a phenomenon of the essential coexistence of regular (zero Lyapunov exponents and hence, zero entropy) dynamics and chaotic (non-zero Lyapunov exponents and positive entropy) dynamics in the setting of smooth dynamical systems. I will review some recent results in this direction, discuss some open problems and describe some new examples of essential coexistence. In particular, I will outline a construction of a Hamiltonian system which demonstrate a "complete? KAM-type picture of coexistence of invariant KAM tori and surrounding "chaotic sea".
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