Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit

被引:24
作者
Albuquerque, Holokx A. [1 ]
Rech, Paulo C. [1 ]
机构
[1] Univ Estado Santa Catarina, Dept Fis, BR-89223100 Joinville, Brazil
关键词
Chua circuit; spiral structure; parameter-space; Lyapunov exponents; TIME-SERIES ANALYSIS; COMMUNICATION-SYSTEMS; SYNCHRONIZATION; IMPLEMENTATION;
D O I
10.1002/cta.713
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this letter we investigate, via numerical simulations, the parameter-space of the set of autonomous first-order differential equations of a Chua circuit. We show that this parameter-space presents self-organized periodic structures immersed in a chaotic region, forming a single spiral structure that coils up around a focal point. Additionally, bifurcation diagrams are used to show that those periodic structures also organize themselves in period-adding cascades, along specific directions that point towards this same focal point. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码:189 / 194
页数:6
相关论文
共 19 条
[1]   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
[2]   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
[3]   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)
[4]   Complex periodic structures in bi-dimensional bifurcation diagrams of a RLC circuit model with a nonlinear NDC device [J].
Cardoso, Julio C. D. ;
Albuquerque, Holokx A. ;
Rubinger, Rero M. .
PHYSICS LETTERS A, 2009, 373 (23-24) :2050-2053
[5]   Characterization of the Rossler system in parameter space [J].
Castro, Victor ;
Monti, Marco ;
Pardo, William B. ;
Walkenstein, Jonathan A. ;
Rosa, Epaminondas, Jr. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (03) :965-973
[6]   CHUA CIRCUIT 10 YEARS LATER [J].
CHUA, LO .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1994, 22 (04) :279-305
[7]   The Colpitts oscillator: Families of periodic solutions and their bifurcations [J].
De Feo, O ;
Maggio, GM ;
Kennedy, MP .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (05) :935-958
[8]   Relative abundance and structure of chaotic behavior: The nonpolynomial Belousov-Zhabotinsky reaction kinetics [J].
Freire, Joana G. ;
Field, Richard J. ;
Gallas, Jason A. C. .
JOURNAL OF CHEMICAL PHYSICS, 2009, 131 (04)
[9]   STRUCTURE OF THE PARAMETER SPACE OF THE HENON MAP [J].
GALLAS, JAC .
PHYSICAL REVIEW LETTERS, 1993, 70 (18) :2714-2717
[10]   Synchronization of Chua's circuits with multi-scroll attractors: Application to communication [J].
Gamez-Guzman, L. ;
Cruz-Hernandez, C. ;
Lopez-Gutierrez, R. M. ;
Garcia-Guerrero, E. E. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (06) :2765-2775