Equilibrium measures at temperature zero for Hénon-like maps at the first bifurcation

研究成果: Article査読

6 被引用数 (Scopus)

抄録

We develop a thermodynamic formalism for a strongly dissipative Hénon-like map at the first bifurcation parameter at which the uniform hyperbolicity is destroyed by the formation of tangencies inside the limit set. For any t ∈ ℝ we prove the existence of an invariant Borel probability measure which minimizes the free energy associated with a noncontinuous geometric potential -t log Ju, where Ju denotes the Jacobian in the unstable direction. We characterize accumulation points of these measures as t→±∞ in terms of the unstable Lyapunov exponent.

本文言語English
ページ(範囲)106-124
ページ数19
ジャーナルSIAM Journal on Applied Dynamical Systems
15
1
DOI
出版ステータスPublished - 2016

ASJC Scopus subject areas

  • Analysis
  • Modelling and Simulation

フィンガープリント 「Equilibrium measures at temperature zero for Hénon-like maps at the first bifurcation」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル