A Shadowing Theorem for ordinary differential equations
- Cite this article as:
- Coomes, B.A., Koçak, H. & Palmer, K.J. Z. angew. Math. Phys. (1995) 46: 85. doi:10.1007/BF00952258
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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.