Nonuniformly expanding 1D maps with logarithmic singularities

Hiroki Takahasi, Qiudong Wang

研究成果: Article

2 引用 (Scopus)

抜粋

For a certain parametrized family of maps on a circle with critical points and logarithmic singularities where derivatives blow up to infinity, we construct a positive measure set of parameters corresponding to maps which exhibit nonuniformly expanding behaviour. This implies the existence of "chaotic" dynamics in dissipative homoclinic tangles in periodically perturbed differential equations.

元の言語English
ページ(範囲)533-550
ページ数18
ジャーナルNonlinearity
25
発行部数2
DOI
出版物ステータスPublished - 2012 2 1

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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