Obtuse triangular billiards. I: Near the triangle.
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Schwartz, Richard Evan (2006)
Experimental Mathematics
Dieter H. Mayer (1976)
Bulletin de la Société Mathématique de France
Hua-Chieh Li (2005)
Acta Arithmetica
Tadeusz Pezda (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
Srzednicki, Roman (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Pavol Brunovský (1971)
Commentationes Mathematicae Universitatis Carolinae
Ferchichi, M.R., Djellit, I. (2009)
Discrete Dynamics in Nature and Society
Ming-Chia Li, Piotr Zgliczyński (2009)
Fundamenta Mathematicae
We show that all periods of periodic points forced by a pattern for interval maps are preserved for high-dimensional maps if the multidimensional perturbation is small. We also show that if an interval map has a fixed point associated with a homoclinic-like orbit then any small multidimensional perturbation has periodic points of all periods.
Karl Sigmund (1976)
Monatshefte für Mathematik
Helmut Länger (1995)
Elemente der Mathematik
Jérôme Los (1997)
Publications Mathématiques de l'IHÉS
Dieter H. Mayer (1989)
Banach Center Publications
Wolfgang Krieger (1979)
Mathematische Zeitschrift
Mitsuhiro Shishikura (1987)
Annales scientifiques de l'École Normale Supérieure
Furi, Massimo, Pera, Maria Patrizia, Spadini, Marco (2004)
Fixed Point Theory and Applications [electronic only]
Milan Medveď (1983)
Czechoslovak Mathematical Journal
Mitsuru Ikawa (1994)
Journées équations aux dérivées partielles
Baladi, V. (1992)
Portugaliae mathematica
S. Batterson, M. Handel, C. Narasimhan (1981)
Inventiones mathematicae
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