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The basin of attraction of periodic orbits in nonsmooth differential equations

journal contribution
posted on 2023-06-07, 20:24 authored by Peter GieslPeter Giesl
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.

History

Publication status

  • Published

Journal

Zeitschrift für Angwandte Mathematik und Mechanik

ISSN

0044-2267

Publisher

Wiley-VCH Verlag Berlin

Issue

2

Volume

85

Page range

89-104

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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