Removal of phase transition in the Chebyshev quadratic and thermodynamics for Hénon-like maps near the first bifurcation

DOI10.1007/s10955-016-1584-yzbMath1354.82019arXiv1603.00591OpenAlexW3098862860MaRDI QIDQ343940

Hiroki Takahasi

Publication date: 29 November 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00591

zbMATH Keywords

phase transitionthermodynamic formalismChebyshev quadratic mapHénon-like maps

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

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