Localization of periodic orbits of the Rössler system under variation of its parameters

Chaos, Solitons and Fractals

Volumn 33, Issue 5, 2007, Pages 1445-1449

  Starkov, Konstantin E ^a   Starkov, Konstantin K ^b  

^a INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

INVARIANCE; NONLINEAR PROGRAMMING; PARAMETER ESTIMATION; SET THEORY;

LOCALIZATION PROBLEM; PERIODIC ORBITS; QUADRATIC FUNCTION; RODIESSLER SYSTEM;

TIME VARYING SYSTEMS;

EID: 33947270887     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.02.011     Document Type: Article

References (11)

1. Alligood K.T., Sauer T.D., and Yorke J.A. Chaos. An introduction to dynamical systems (1996), Springer-Verlag, NY
2. Hardy Y., and Steeb W.H. The Rikitake two-disk dynamo system and domains with periodic orbits. Int J Theor Phys 38 (1999) 2413-2417
3. Kocarev L., Parlitz U., and Hu B. Lie derivatives and dynamical systems. Chaos, Solitons & Fractals 9 (1998) 1359-1366
4. Krishchenko A.P. Localization of limit cycles. Differen Equat 31 (1995) 1826-1833
5. Krishchenko A.P. Estimation of domains with cycles. Comput Math Appl 34 (1997) 325-332
6. Krishchenko AP, Starkov KE. Localization of compact invariant sets of the Lorenz system. Phys Lett A; in press.
7. Krishchenko AP, Starkov KE. Localization of compact invariant sets of nonlinear systems with applications to the Lanford system. Int J Bifurc Chaos; in press.
8. Nikolov S., and Petrov V. New results about route to chaos in Rössler system. Int J Bifurc Chaos 14 (2004) 293-308
9. Perko L. Differential equations and dynamical systems. Texts in applied mathematics vol. 7 (1991), Springer-Verlag, New York
10. Rössler O.E. An equation for continuous chaos. Phys Lett A 57 (1976) 397-398
11. Starkov K.E., and Krishchenko A.P. Localization of periodic orbits of polynomial systems by ellipsoidal estimates. Chaos, Solitons & Fractals 3 (2005) 981-988