Double rotations

Discrete and Continuous Dynamical Systems

Volumn 13, Issue 2, 2005, Pages 515-532

  Suzuki, Hideyuki ^a   Ito, Shunji ^b   Aihara, Kazuyuki ^c,d  

^a UNIVERSITY OF TOKYO   (Japan)

^b KANAZAWA UNIVERSITY   (Japan)

^c INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

^d JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

Double rotation; Interval translation mapping; Piecewise isometry; Reduction theory; Rotation

Indexed keywords

EID: 23844449816     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.13.515     Document Type: Article

References (8)

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3. J. Buzzi and P. Hubert, Piecewise monotone maps without periodic points: rigidity, measures and complexity, Ergodic Theory Dynam. Systems 24 (2004), 383-405.
4. A. Goetz, Dynamics of a piecewise rotation, Discrete Contin. Dyn. Syst. 4 (1998), 593-608.
5. M. Hata, Dynamics of Caianiello's equation, J. Math. Kyoto Univ. 22 (1982), 155-173.
6. J. Schmeling and S. Troubetzkoy, Interval translation mappings, in "Dynamical Systems from Crystals to Chaos" (ed. J.-M. Gambaudo et al.), World Scientific, Singapore (2000), pp. 291-302.
7. H. Suzuki, K. Aihara, and T. Okamoto, Complex behaviour of a simple partial-dis charge model, Europhys. Lett. 66 (2004), 28-34.
8. S. Whitehead, "Dielectric Breakdown of Solids," Clarendon Press, Oxford, 1953.