Regular and chaotic dynamics of the lorenzstenflo system

International Journal of Bifurcation and Chaos

Volumn 20, Issue 1, 2010, Pages 145-152

  Xavier, João C ^a   Rech, Paulo C ^a  

^a SANTA CATARINA STATE UNIVERSITY   (Brazil)

Author keywords

Lorenz Stenflo system; Nonlinear differential equations; Parameter space; Phase space

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; HOPF BIFURCATION; LYAPUNOV METHODS; PHASE SPACE METHODS;

ACOUSTIC-GRAVITY WAVES; BIFURCATION DIAGRAM; BIFURCATION OF FIXED POINTS; EIGENVALUE EQUATIONS; EXPLICIT SOLUTIONS; LORENZ-STENFLO SYSTEM; NONLINEAR DIFFERENTIAL EQUATION; PARAMETER SPACES;

NONLINEAR EQUATIONS;

EID: 77951568662     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127410025466     Document Type: Article

References (15)

1. Albuquerque, H. A., Rubinger, R. M. & Rech, P. C. [2008] "Self-similar structures in a 2D parameter-space of an inductorless Chua's circuit, " Phys. Lett. A 372, 4793-4798.
2. Albuquerque, H. A. & Rech, P. C. [2009] "A parameterspace of a Chua system with a smooth nonlinearity, " Int. J. Bifurcation and Chaos 19, 1351-1355.
3. Banerjee, S., Saha, P. & Chowdhury, A. R. [2001] "Chaotic scenario in the Stenflo equations, " Phys. Scr. 63, 177-180. (Pubitemid 33658981)
4. 2 laser, " Phys. Rev. Lett. 95, 143905. (Pubitemid 41777580)
5. Bonatto, C. & Gallas, J. A. C. [2007] "Accumulation horizons and period adding in optically injected semiconductor lasers, " Phys. Rev. E 75, 055204 (R). (Pubitemid 47000958)
6. Gallas, J. A. C. [1993] "Structure of the parameter space of the Hénon map, " Phys. Rev. Lett. 70, 2714-2717.
7. Gantmacher, F. R. [1989] Theory of Matrices, Vol. 1 (Chelsea, NY).
8. Lorenz, E. N. [1963] "Deterministic non-periodic flow, " J. Atmos. Sci. 20, 130-141.
9. Ott, E. [2000] Chaos in Dynamical Systems (Cambridge University Press, NY).
10. Stenflo, L. [1996] "Generalized Lorenz equations for acoustic-gravity waves in the atmosphere, " Phys. Scr. 53, 83-84. (Pubitemid 126675895)
11. Yu, M. Y. & Yang, B. [1996] "Periodic and chaotic solutions of the generalized Lorenz equations, " Phys. Scr. 54, 140-142. (Pubitemid 126591874)
12. Yu, M. Y., Zhou, C. T. & Lai, C. H. [1996] "The bifurcation characteristics of the generalized Lorenz equations, " Phys. Scr. 54, 321-324. (Pubitemid 126634358)
13. Yu, M. Y. [1999] "Some chaotic aspects of the Lorenz-Stenflo equations, " Phys. Scr. T 82, 10-11.
14. Wiggins, S. [2003] Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer, NY).
15. Zhou, C., Lai, C. H. & Yu, M. Y. [1997] "Bifurcation behavior of the generalized Lorenz equations at large rotation numbers, " J. Math. Phys. 38, 5225-5239. (Pubitemid 127129433)