CHAOTIC DYNAMICS OF A SIMPLE PARAMETRICALLY DRIVEN DISSIPATIVE CIRCUIT

被引：10
|
作者：
Philominathan, P. [1 ]
Santhiah, M. [1 ]
Mohamed, I. Raja [2 ]
Murali, K. [3 ]
Rajasekar, S. [4 ]
机构：
[1] AVVM Sri Pushpam Coll, PG & Res Dept Phys, Poondi 613503, Thanjavur, India
[2] BS Abdur Rahman Univ, Dept Phys, Madras 600048, Tamil Nadu, India
[3] Anna Univ, Dept Phys, Madras 600025, Tamil Nadu, India
[4] Bharathidasan Univ, Sch Phys, Tiruchirappalli 620024, India
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 07期
关键词：
Bifurcations; chaos; nonlinear electronic circuits; CHUAS CIRCUIT; SYNCHRONIZATION; SUPPRESSION; SIGNAL;
D O I：
10.1142/S0218127411029537
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a simple parametrically driven dissipative second-order chaotic circuit. In this circuit, one of the circuit parameters is varied by an external periodic control signal. Thus by tuning the parameter values of this circuit, classic period-doubling bifurcation route to chaos is found to occur. The experimentally observed phenomena is further validated through corresponding numerical simulation of the circuit equations. The periodic and chaotic dynamics of this model is further characterized by computing Lyapunov exponents.
引用
收藏
页码：1927 / 1933
页数：7
相关论文
共 50 条
  • [21] Mode competition in a system of two parametrically driven pendulums; The dissipative case
    Banning, E.J.
    van der Weele, J.P.
    Ross, J.C.
    Kettenis, M.M.
    de Kleine, E.
    Physica A: Statistical Mechanics and its Applications, 1997, 245 (1-2): : 11 - 48
  • [22] Scaling of the transition to parametrically driven surface waves in highly dissipative systems
    Lioubashevski, O
    Fineberg, J
    Tuckerman, LS
    PHYSICAL REVIEW E, 1997, 55 (04) : R3832 - R3835
  • [23] Characterization of Faraday patterns and spatiotemporal chaos in parametrically driven dissipative systems
    Reyes, L. I.
    Perez, L. M.
    Pedraja-Rejas, L.
    Diaz, P.
    Mendoza, J.
    Bragard, J.
    Clerc, M. G.
    Laroze, D.
    CHAOS SOLITONS & FRACTALS, 2024, 186
  • [24] Scaling of the transition to parametrically driven surface waves in highly dissipative systems
    Lioubashevski, O.
    Fineberg, J.
    Tuckerman, L.S.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1997, 55 (04):
  • [25] Mode competition in a system of two parametrically driven pendulums; the dissipative case
    Banning, EJ
    vanderWeele, JP
    Ross, JC
    Kettenis, MM
    deKleine, E
    PHYSICA A, 1997, 245 (1-2): : 11 - 48
  • [26] Bispectral properties of the simplest dissipative nonautonomous chaotic circuit
    Lipton, JM
    Dabke, KP
    Lakshmanan, M
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (12A): : 2419 - 2425
  • [27] Coupled Parametrically Driven Modes in Synchrotron Dynamics
    Bernstein, Alexander
    Rand, Richard
    NONLINEAR DYNAMICS, VOL 1, 2017, : 107 - 112
  • [28] DYNAMICS OF SIMPLE DISSIPATIVE SYSTEMS
    GUINEA, F
    PHYSICAL REVIEW B, 1985, 32 (07): : 4486 - 4491
  • [29] Strange nonchaotic dynamics of parametrically enhanced MLC circuit
    R. Rizwana
    I. Raja Mohamed
    Journal of Computational Electronics, 2018, 17 : 1297 - 1302
  • [30] Strange nonchaotic dynamics of parametrically enhanced MLC circuit
    Rizwana, R.
    Mohamed, I. Raja
    JOURNAL OF COMPUTATIONAL ELECTRONICS, 2018, 17 (03) : 1297 - 1302
12345