Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation

DOI10.1137/15M1015741zbMath1359.37078arXiv1412.8012MaRDI QIDQ2790853

Hiroki Takahasi

Publication date: 8 March 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8012

zbMATH Keywords

thermodynamic formalismHénon-like mapsfirst bifurcation

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (6)

Removal of phase transition in the Chebyshev quadratic and thermodynamics for Hénon-like maps near the first bifurcation ⋮ Dynamics of polynomial diffeomorphisms of \(\mathbb {C}^2\): combinatorial and topological aspects ⋮ Bifurcations and chaos in a three-dimensional generalized Hénon map ⋮ Lyapunov spectrum for Hénon-like maps at the first bifurcation ⋮ Boundary of the Horseshoe Locus for the Hénon Family ⋮ Ergodic optimization in dynamical systems

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