Heteroclinic orbits in the T and the Lü systems

Chaos, Solitons and Fractals

Volumn 42, Issue 1, 2009, Pages 20-23

  Tigan, Gheorghe ^a   Constantinescu, Dana ^b  

^a POLITEHNICA UNIVERSITY OF TIMISOARA   (Romania)

^b UNIVERSITY OF CRAIOVA   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

HETEROCLINIC ORBIT; HOMOCLINIC ORBITS; LORENZ SYSTEM; NONLINEAR TERMS; T-SYSTEMS; THREE DIMENSIONAL AUTONOMOUS SYSTEM;

MATHEMATICAL TECHNIQUES;

EID: 67649882006     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.10.024     Document Type: Article

References (11)

1. Chang Y., and Chen G. Complex dynamics in Chen's system. Chaos, Solitons & Fractals 27 (2006) 75-86
2. Chen G., and Ueta T. Yet another chaotic attractor. Int J Bif Chaos 9 (1999) 1465-1466
3. Li T., Chen G., and Chen G. On homoclinic and heteroclinic orbits of the Chen's system. Int J Bif Chaos 16 10 (2006) 3035-3041
4. Lorenz E.N. Deterministic nonperiodic flow. J Atmos Sci 20 (1963) 130-141
5. Lü J., and Chen G. A new chaotic attractor coined. Int J Bif Chaos 12 3 (2002) 659-661
6. El Naschie M.S. Peano dynamics as a model for ergodic and strange nonchaotic behavior. Comp Math Applic 23 1 (1992) 25-33
7. Silva C.P. Shilnikov theorem - a tutorial. IEEE Trans Circuits Syst I 40 (1993) 675-682
8. Tigan G. Analysis of a dynamical system derived from the Lorenz system. Scientific Bulletin of the Politehnica University of Timisoara, Tomul 50(64), Fascicola 2005;1:61-72.
9. Tigan G., and Opris D. Analysis of a 3 D chaotic system. Chaos, Solitons & Fractals 36 (2008) 1315-1319
10. Craioveanu M, Tigan G. On homoclinic and closed orbits in the T system, preprint.
11. Zhou T., Tang Y., and Chen G. Chen's attractor exists. Int J Bif Chaos 14 9 (2004) 3167-3177