Asymptotics for some discretizations of dynamical systems, application to second order systems with non-local nonlinearities
Keyword(s):
<p style='text-indent:20px;'>In the present paper we study the asymptotic behavior of discretized finite dimensional dynamical systems. We prove that under some discrete angle condition and under a Lojasiewicz's inequality condition, the solutions to an implicit scheme converge to equilibrium points. We also present some numerical simulations suggesting that our results may be extended under weaker assumptions or to infinite dimensional dynamical systems.</p>
1998 ◽
Vol 08
(PR6)
◽
pp. Pr6-227-Pr6-231
2004 ◽
Vol 27
(6)
◽
pp. 723-738
◽