Boundedness and dissipativity of truncated rotations on uniform planar lattices

Mathematische Nachrichten

Volumn 191, Issue , 1998, Pages 59-81

  Diamond, Phil ^a   Kloeden, Peter ^b   Kozyakin, Victor ^c   Pokrovskii, Alexei ^d  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b GOETHE UNIVERSITY   (Germany)

^c RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

^d UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

Boundedness; Dissipativity; Lattices; Rotation mapping; Truncation

Indexed keywords

EID: 0002336381     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19981910104     Document Type: Article

References (5)

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2. BLANK, M.: Round-Off Induced Instabilities and Some Unusual Arithmetics, Comptes Rendus CRAS, 321 (1995)
3. KUZNETSOV, N., and KLOEDEN, P.: The Problem of Information Stability in Computer Studies of Continuous Systems. Mathematics & Computation in Simulation 43 (1997), 143-158
4. NIVEN, I., ZUCKERMAN, H. S., and MONTGOMERY, H. L.: An Introduction to the Theory of Numbers, 5th Ed., John Wiley & Sons, Inc. New York, 1991
5. SIBIRSKY, K. S.: Introduction to Topological Dynamics, Noordhoff Inter. Publ. Leyden, 1975