NDLI: Large measure of hyperbolic dynamics when unfolding heteroclinic cycles

Content Provider	Scilit
Author	Díaz, Lorenzo J. Rocha, Jorge
Copyright Year	1997
Description	Journal: Nonlinearity We study the unfolding of heterodimensional cycles (i.e. cycles containing periodic points with different indices). Given any we construct an open set of arcs that unfold generically a heterodimensional cycle so that the relative measure at the bifurcation value of the set of parameter corresponding to -stable diffeomorphisms is bigger than . On the other hand, the bifurcation value is not a point of full density of hyperbolic dynamics.
Related Links	http://iopscience.iop.org/article/10.1088/0951-7715/10/4/004/pdf
Ending Page	884
Page Count	28
Starting Page	857
ISSN	09517715
e-ISSN	13616544
DOI	10.1088/0951-7715/10/4/004
Journal	Nonlinearity
Issue Number	4
Volume Number	10
Language	English
Publisher	IOP Publishing
Publisher Date	1997-07-01
Access Restriction	Open
Subject Keyword	Journal: Nonlinearity Applied Mathematics Periodic Point Heteroclinic Cycle
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics

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Large measure of hyperbolic dynamics when unfolding heteroclinic cycles