An N-to-1 Smale Horseshoe

2025/02/20 by Lamei, Sanaz, Mehdipour, Pouya
#37D05 37B10 #37D45 #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary: 37Dxx. Secondary: 37D20

paper · doi:10.48550/arxiv.2502.14441

Abstract

In this work we extend the Conley-Moser Theorem for N-to-1 local diffeomorphisms. By the aim of some extended symbolic dynamics we encode generalized N-to-1 horseshoe maps and as a corollary their structural stability is verified.

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