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Robust nonhyperbolic dynamics and heterodimensional cycles
Published online by Cambridge University Press: 19 September 2008
Abstract
We describe an open set A of arcs of diffeomorphisms bifurcating through the creation of heterodimensional cycles for which every diffeomorphism after the bifurcation is nonhyperbolic or unstable. We also prove that generically in A the borning nonwandering set is transitive and local maximal for a full (Lebesgue) set of parameter values.
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- Copyright © Cambridge University Press 1995