Homoclinic connections and numerical integration
Abbreviated Journal Title
homoclinic connection; numerical chaos; finite difference methods; DIFFERENCE SCHEME; CHAOS; Mathematics, Applied
One of the best known mechanisms of onset of chaotic motion is breaking of heteroclinic and homoclinic connections. It is well known that numerical integration on long time intervals very often becomes unstable (numerical instabilities) and gives rise to what is called ''numerical chaos''. As one of the initial steps to discuss this phenomenon. we show in this paper that Euler's finite difference scheme does not preserve homoclinic connections.
Article; Proceedings Paper
"Homoclinic connections and numerical integration" (1997). Faculty Bibliography 1990s. 2117.