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The basin of attraction of periodic orbits in nonsmooth differential equations
We consider a general nonsmooth ordinary differential equation x over dot = f(t, X), where x is an element of R, and f(t + T, x) = f(t, x) for all (t, x) is an element of R x R is a periodic function which is C-1 except for the line x = 0. We give a sufficient condition for the existence and uniqueness of an exponentially asymptotically stable periodic orbit. Moreover, this condition implies that a subset of the phase space belongs to the basin of attraction of the periodic orbit.
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Publication status
- Published
Journal
Zeitschrift für Angwandte Mathematik und MechanikISSN
0044-2267Publisher
Wiley-VCH Verlag BerlinExternal DOI
Issue
2Volume
85Page range
89-104Department affiliated with
- Mathematics Publications
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- No
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- Yes
Legacy Posted Date
2012-02-06Usage metrics
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