GENERAL |
|
|
|
|
Changes in the Dynamics of a Rössler Oscillator by an External Forcing |
Amanda C. Mathias, Paulo C. Rech** |
Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil |
|
Cite this article: |
Amanda C. Mathias, Paulo C. Rech 2013 Chin. Phys. Lett. 30 030502 |
|
|
Abstract We report some results indicating changes in the observed dynamics of the Rössler model under the influence of external sinusoidal forcing. By varying the control parameters of the external sinusoidal forcing, namely the amplitude and the angular frequency, we show, through numerical simulations which include parameter planes and Lyapunov exponents, that the external forcing can produce both chaos-order and order-chaos transitions. We also show that the sinusoidal forcing may generate hyperchaos.
|
|
Received: 24 September 2012
Published: 29 March 2013
|
|
PACS: |
05.45.-a
|
(Nonlinear dynamics and chaos)
|
|
05.45.Ac
|
(Low-dimensional chaos)
|
|
05.45.Pq
|
(Numerical simulations of chaotic systems)
|
|
|
|
|
[1] Stone E F 1992 Phys. Lett. A 163 367[2] Murali K and Lakshmanan M 1992 IEEE Trans. Circuits Syst. I 39 264[3] Bondarenko V E 1997 Phys. Lett. A 236 513[4] Parmananda P, Rivera M and Madrigal R 1999 Electrochim. Acta 44 4677[5] Arai K, Yoshimura K and Mizutani S 2001 Phys. Rev. E 65 015202[6] Pujol-Peré A, Calvo O, Matí as M A and Kurths J 2003 Chaos 13 319[7] Parmananda P, Rivera M, Green B J and Hudson J L 2005 Appl. Math. Comput. 164 467[8] Dana S K, Roy P K, Sethia G C, Sen A and Sengupta D C 2006 IEE Proc. Circuits Devices Syst. 153 453[9] Mathias A C and Rech P C 2012 Chaos 22 043147[10] Zhusubaliyev Z T, Laugesen J L and Mosekilde E 2010 Phys. Lett. A 374 2534[11] Laugesen J L, Mosekilde E and Zhusubaliyev Z 2012 Physica D 241 488[12] Sun K, Liu X, Zhu C and Sprott J C 2012 Nonlinear Dyn. 69 1383[13] Rössler O E 1976 Phys. Lett. A 57 397[14] Rech P C 2011 Neurocomputing 74 3361[15] Correia M J and Rech P C 2012 Appl. Math. Comput. 218 6711 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|