Complex periodic structures in bi-dimensional bifurcation diagrams of a RLC circuit model with a nonlinear NDC device

被引:23
作者
Cardoso, Julio C. D. [1 ]
Albuquerque, Holokx A. [1 ]
Rubinger, Rero M. [2 ]
机构
[1] Univ Estodo Santa Catarina, Dept Fis, BR-89223100 Joinville, Brazil
[2] Univ Fed Itajuba, Dept Quim & Fis, BR-37500903 Itajuba, Brazil
关键词
Chaotic circuit; Stability islands; Parameter spaces; Lyapunov exponents; INDUCTORLESS CHUAS CIRCUIT; SEMIINSULATING GAAS; PARAMETER-SPACE; SECURE COMMUNICATION; CURRENT OSCILLATIONS; IMPACT IONIZATION; CHAOTIC SYSTEMS; SYNCHRONIZATION; MAP;
D O I
10.1016/j.physleta.2009.04.024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We report the existence of complex periodic structures, forming intricate periodic networks, embedded in chaotic regions of bi-dimensional bifurcation diagrams (parameter spaces) of a chaotic circuit model. Such circuit is composed by a negative differential conductivity (NDC) device Coupled with a three variable RLC tank circuit. Particularly, we focused on a semi-insulating Gallium Arsenide (GaAs) model of nonlinear NDC device which is capable of oscillating at low frequencies. We show the presence of many types of orbits regarding their topological structures, indicating that there are topological transitions in the parameter space. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:2050 / 2053
页数:4
相关论文
共 35 条
[1]   Modeling chaotic current oscillations in semi-insulating GaAs with rate-equations of impact ionization and field-enhanced trapping [J].
Albuquerque, H. A. ;
da Silva, R. L. ;
Rubinger, R. M. ;
de Oliveira, A. G. ;
Ribeiro, G. M. ;
Rodrigues, W. N. .
BRAZILIAN JOURNAL OF PHYSICS, 2006, 36 (2A) :248-251
[2]   Impact ionization and field-enhanced trapping: Fitting current density curves for semi-insulating GaAs [J].
Albuquerque, HA ;
de Oliveira, AG ;
Ribeiro, GM ;
da Silva, RL ;
Rodrigues, WN ;
Moreira, MVB ;
Rubinger, RM .
JOURNAL OF APPLIED PHYSICS, 2003, 93 (03) :1647-1650
[3]   Self-similar structures in a 2D parameter-space of an inductorless Chua's circuit [J].
Albuquerque, Holokx A. ;
Rubinger, Rero M. ;
Rech, Paulo C. .
PHYSICS LETTERS A, 2008, 372 (27-28) :4793-4798
[4]   Theoretical and experimental time series analysis of an inductorless Chua's circuit [J].
Albuquerque, Holokx A. ;
Rubinger, Rero M. ;
Rech, Paulo C. .
PHYSICA D-NONLINEAR PHENOMENA, 2007, 233 (01) :66-72
[5]  
BAPTISTA MS, 1996, THESIS U SAO PAULO, P101
[6]   Self-similarities in the frequency-amplitude space of a loss-modulated CO2 laser -: art. no. 143905 [J].
Bonatto, C ;
Garreau, JC ;
Gallas, JAC .
PHYSICAL REVIEW LETTERS, 2005, 95 (14)
[7]   Accumulation horizons and period adding in optically injected semiconductor lasers [J].
Bonatto, Cristian ;
Gallas, Jason A. C. .
PHYSICAL REVIEW E, 2007, 75 (05)
[8]   Accumulation boundaries: codimension-two accumulation of accumulations in phase diagrams of semiconductor lasers, electric circuits, atmospheric and chemical oscillators [J].
Bonatto, Cristian ;
Gallas, Jason Alfredo Carlson .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2008, 366 (1865) :505-517
[9]   Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit [J].
Bonatto, Cristian ;
Gallas, Jason A. C. .
PHYSICAL REVIEW LETTERS, 2008, 101 (05)
[10]   CHUA CIRCUIT - AN OVERVIEW 10 YEARS LATER [J].
CHUA, LO .
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 1994, 4 (02) :117-159