Stability modulo singular sets

• Autorzy: J. Iglesias , A. Portela , A. Rovella
• Języki publikacji: EN

Abstrakty

EN

A new concept of stability, closely related to that of structural stability, is introduced and applied to the study of C¹ endomorphisms with singularities. A map that is stable in this sense is conjugate to each perturbation that is equivalent to it in a geometric sense. It is shown that this kind of stability implies Axiom A and Ω-stability, and that every critical point is wandering. A partial converse is also shown, providing new examples of C³ structurally stable maps.

Kategorie tematyczne

• 37C20: Generic properties, structural stability
• 58K05: Critical points of functions and mappings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 204
• Numer: 2
• Strony: 155-175

Daty

wydano

2009

Twórcy

autor

J. Iglesias

• Facultad de Ingenieria, IMERL, Universidad de La República, Julio Herrera y Reissig 565, Montevideo, Uruguay

autor

A. Portela

• Facultad de Ingenieria, Universidad de La República, IMERL, Julio Herrera y Reissig 565, Montevideo, Uruguay

autor

A. Rovella

• Centro de Matemática, Facultad de Ciencias, Universidad de La República, Iguá 4225, C.P. 11400, Montevideo, Uruguay

Identyfikatory

DOI

10.4064/fm204-2-5