Existence of periodic orbits for singular-hyperbolic Lyapunov stable sets

2015/01/18 by K. Nakai, Nakai, Kouta
Engineering · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1501.04339

openalex publication_date 2015/01/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Bautista and Morales proved the existence of periodic orbits in singular-hyperbolic attracting sets(*). In this paper, we extend their result to singular-hyperbolic Lyapunov stable sets. ((*)"Existence of periodic orbits for singular-hyperbolic sets", Moscow Mathematical Journal, 6 (2006), 265-297)

Citations

• Deterministic Nonperiodic Flow

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