Generating chaos piecewise mappings of R2

Nonlinear Analysis, Theory, Methods and Applications

Volumn 31, Issue 3-4, 1998, Pages 455-458

  Dobrynskiy, V A ^a  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

A snap back repeller; Chaos in sense of Li and Yorke

Indexed keywords

CHAOS THEORY; CONFORMAL MAPPING; MATHEMATICAL MODELS; PIECEWISE LINEAR TECHNIQUES; THEOREM PROVING;

CHAOS PIECEWISE MAPPINGS;

NONLINEAR EQUATIONS;

EID: 0031992371     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00321-5     Document Type: Article

References (4)

1. Maistrenko, V. L., Maistrenko, Yu. L. and Sushko, I. M., On one nonone-to-one mapping of plane which appears in radiophysics. Preprint 92.2 of Institute of Mathematics of Academy of Sciences of Ukraine, Kiev, 1992, 34 pp.
2. Maistrenko, V. L., Maistrenko, Yu. L. and Sushko, I. M., Attractors of piecewise mapping of straight line and plane. Preprint 92.33 of Institute of Mathematics of Academy of Sciences of Ukraine, Kiev, 1992, 34 pp.
3. n. Journal of Math. Analysis and Applications, 1978, 63(1), 199-223.
4. Li, T.-Y. and York, J. A., Period three imply chaos. Amer. Math. Monthly, 1975, 82, 985-992.