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THE PALIS AND TAKENS’ PROBLEM ON THE FIRST HOMOCLINIC TANGENCY INSIDE THE HORSESHOE

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Publication:4346638
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DOI10.1142/S0218127496000394zbMath0879.58053OpenAlexW1966635014MaRDI QIDQ4346638

Shin Kiriki

Publication date: 1 February 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127496000394


zbMATH Keywords

limit capacityfirst bifurcationhorseshoe diffeomorphismfirst homoclinic tangency


Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items (4)

Hyperbolicity of a special one-parameter family with a first homoclinic tangency ⋮ Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation ⋮ Destroying horseshoes via heterodimensional cycles: generating bifurcations inside homoclinic classes ⋮ Nondegenerate homoclinic tangency and hyperbolic sets






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