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Approximating the basin of attraction of time-periodic ODEs by meshless collocation

journal contribution
posted on 2023-06-07, 22:05 authored by Peter GieslPeter Giesl, Holger Wendland
In this paper we study a periodic solution of a general time-periodic ordinary differential equation (ODE) and determine its basin of attraction using a time-periodic Lyapunov function. We show the existence of a Lyapunov function satisfying a certain linear partial differential equation and approximate it using meshless collocation. Therefore, we establish error estimates for the approximate reconstruction and collocation of functions [V(t,x)] which are periodic with respect to [t] .

History

Publication status

  • Published

Journal

Discrete and Continuous Dynamical Systems - Series A

ISSN

1078-0947

Publisher

American Institute of Mathematical Sciences

Issue

4

Volume

25

Page range

1249-1274

Pages

25.0

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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