A new notion of shadowing of a pseudo orbit, an approximate solution, of an autonomous system of ordinary differential equations by an associated nearby true orbit is introduced. Then a general theorem which guarantees the existence of shadowing of pseudo orbits in compact hyperbolic sets is proved.
|Original language||English (US)|
|Number of pages||22|
|Journal||ZAMP Zeitschrift für angewandte Mathematik und Physik|
|State||Published - Jan 1 1995|
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Applied Mathematics