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TZID:Asia/Jerusalem
BEGIN:STANDARD
DTSTART:20181028T020000
TZOFFSETFROM:+0300
TZOFFSETTO:+0200
TZNAME:IST
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BEGIN:DAYLIGHT
DTSTART:20180323T020000
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TZOFFSETTO:+0300
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UID:calendar.52036.field_date.0@mathematics.huji.ac.il
DTSTAMP:20200606T121217Z
CREATED:20180131T230010Z
DESCRIPTION:Date: \n\n12:00pm to 1:00pm\n\n\n\n\nSee also: Analysis\, Eve
nts & Seminars\, SeminarsLocation: \n\nRoss Building\, Room 70\n\n\n\nAbst
ract:\nHamiltonian impact systems are dynamical systems in which there are
two main mechanisms which dictate the system’s behavior - Hamilton’s equa
tions which govern the motion inside the impact system domain\, and the bi
lliard reflection rule which governs the motion upon reaching the domain b
oundary. As the dynamics in impact systems are piecewise smooth by nature
due to the\ncollisions with the boundary\, many of the traditional tools u
sed in the analysis of Hamiltonian\nsystems cannot be applied to impact sy
stems in a straightforward manner. This talk will present a\nclass of 2 de
grees-of-freedom integrable\, separable\, Hamiltonian impact systems whose
amenability to analysis is derived from a relation between the impact str
ucture and underlying symmetries in the Hamiltonian dynamics. By investiga
ting different projections of the conditions for impact into phase space\,
we develop tools for the initial classification and analysis of the diffe
rent types of dynamics in the system. In particular\, under several types
of perturbations\, near integrable behavior is exhibited in large portions
of phase space and stability results can be formulated. Applying these me
thodologies to additional classes of systems reveals the similarities and
differences in their global phase space structure.\nJoint work with Vered
Rom-Kedar.\nThe talk will not assume prior knowledge of Hamiltonian system
s.\n\n Export\n \n\n \nsubscribe iCal
DTSTART;TZID=Asia/Jerusalem:20180606T120000
DTEND;TZID=Asia/Jerusalem:20180606T130000
LAST-MODIFIED:20191104T000004Z
SUMMARY:Analysis Seminar: Michal Pnueli 'Dynamics in a Hamiltonian Impact S
ystem'
URL;TYPE=URI:https://mathematics.huji.ac.il/event/analysis-seminar-michal-p
nueli
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