Critical sets and properties of endomorphisms built by coupling of two identical quadratic mappings

Journal of Dynamical and Control Systems

Volumn 5, Issue 2, 1999, Pages 227-254

  Dobrynskii, V A ^a  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; CONTROL SYSTEM ANALYSIS;

QUADRATIC MAPPING;

NONLINEAR CONTROL SYSTEMS;

EID: 0032665512     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021778919639     Document Type: Article

References (9)

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4. _, Critical sets and unimodal mappings of the square (Russian). Mat. Zametki 5 (1995), 669-680.
5. J. Losson and M. Mackey, Coupling induced statistical cycling in two diffusively coupled maps. Physica D 72 (1994), 324-342.
6. T.-Y. Li and J. A. York, Period three imply chaos. Am. Math. Monthly 82 (1975), 985-992.
7. n. J. Math. Anal. Appl. 63 (1978), N 1, 199-223.
8. M. Jacobson, Absolutely continuous invariant measures for one-parameter families of one-dimensional maps. Comm. Math. Phys. 81 (1981), N 1, 39-88.
9. L.-S. Young, Decay of correlations for certain quadratic maps. Comm. Math. Phys. 146 (1992), 123-138.