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with radial data
Approximating the basin of attraction of time-periodic
ODEs by meshless collocation
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 $t$.