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Criterion of absolute focusing for focusing component of billiards

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Publication:653210
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DOI10.1134/S1560354709010055zbMath1229.37030MaRDI QIDQ653210

Leonid A. Bunimovich

Publication date: 9 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)


zbMATH Keywords

billiardscontinued fractionsfocusingdefocusingabsolute focusingdispersing


Mathematics Subject Classification ID


Related Items

Chaotic properties of the truncated elliptical billiards



Cites Work

  • Focusing components in typical chaotic billiards should be absolutely focusing
  • Principles for the design of billiards with nonvanishing Lyapunov exponents
  • Billiards with Pesin region of measure one
  • Using integrability to produce chaos: Billiards with positive entropy
  • Convergence and divergence of Fourier integrals in the Sobolev-spaces pair
  • Many-dimensional nowhere dispersing billiards with chaotic behavior
  • Statistik der Lösungen geodätischer Probleme vom unstabilen Typus. 2
  • Geodesic flow on the two-sphere, Part I: Positive measure entropy
  • ON BILLIARDS CLOSE TO DISPERSING
  • Conditions of stochasticity of two-dimensional billiards
  • THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
  • ON A FUNDAMENTAL THEOREM IN THE THEORY OF DISPERSING BILLIARDS
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