$\Omega$-explosions
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- by J. Palis PDF
- Proc. Amer. Math. Soc. 27 (1971), 85-90 Request permission
Abstract:
In the present paper it is shown that if a flow satisfies Smale’s Axiom ${\text {A’}}$ and there is a cycle on its nonwandering set $\Omega$, then the flow is not $\Omega$-stable. This is done by “blowing up” the nonwandering set with a small perturbation. It is possible, in this setting, to give a characterization of $\Omega$-stable flows when the nonwandering set is the union of a finite number of critical elements.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 85-90
- MSC: Primary 57.50; Secondary 34.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0270400-3
- MathSciNet review: 0270400