Stability and chaos in 2-D discrete systems

Chaos, Solitons and Fractals

Volumn 25, Issue 3, 2005, Pages 637-647

  Chen, Guanrong ^a   Tian, Chuanjun ^b   Shi, Yuming ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b SHENZHEN UNIVERSITY   (China)

^c SHANDONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; NUMERICAL METHODS; SYNCHRONIZATION; SYSTEM STABILITY; THEOREM PROVING;

2-D DISCRETE SYSTEMS; DISCRETE DYNAMICAL SYSTEMS; SPATIAL CHAOS; SPATIAL PERIODIC ORBITS;

CHAOS THEORY;

EID: 14944367533     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.11.058     Document Type: Article

References (10)

1. G. Chen, and S.T. Liu On generalized synchronization of spatial chaos Chaos, Solitons & Fractals 15 2003 311 318
2. G. Chen, and S.T. Liu On spatial periodic orbits and spatial chaos Int J Bifurcat Chaos 13 4 2003 935 941
3. R.L. Devaney An introduction to chaotic dynamical systems 2nd ed. 1989 Addision-Wesley New York
4. S.N. Elaydi Discrete chaos 2000 Chapman & Hall/CRC
5. F.H. Willeboordse The spatial logistic map as a simple prototype for spatiotemporal chaos Chaos, Solitons & Fractals 13 2 2003 533 540
6. J. Banks, J. Brooks, G. Cairns, G. Davis, and P. Stacey On Devaney's definition of chaos Amer Math Monthly 99 1992 332 334
7. Y.Z. Lin, and S.S. Cheng Stability criteria for two partial difference equations Comput Math Appl 32 7 1996 87 103
8. Tian CJ, Chen G. Some stability criteria of the delayed 2-D discrete logistic system, submitted for publication
9. Tian CJ, Chen G. Stability for delayed generalized 2-D discrete logistic systems, submitted for publication
10. Tian CJ, Chen G. Chen, Chaos in a class of 2-D discrete systems, submitted for publication