Cyclic organization of stable periodic and chaotic pulsations in Hartley's oscillator

被引：24
|
作者：
Freire, Joana G. [1 ,2 ]
Gallas, Jason A. C. [1 ,2 ,3 ,4 ]
机构：
[1] Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, Paraiba, Brazil
[2] Univ Lisbon, Fac Ciencias, Ctr Estruturas Lineares & Combinatorias, P-1749016 Lisbon, Portugal
[3] Univ Erlangen Nurnberg, Inst Multiscale Simulat, D-91052 Erlangen, Germany
[4] Inst Altos Estudos Paraiba, BR-58039150 Joao Pessoa, Paraiba, Brazil
来源：
CHAOS SOLITONS & FRACTALS | 2014年 / 59卷
关键词：
SPIRALS;
D O I：
10.1016/j.chaos.2013.12.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A recent conjecture in this journal, concerning the existence of spiral stability phases in Hartley's oscillator, is corroborated amply. We report numerically computed stability phase diagrams indicating precisely where spirals of periodicity and chaos may be found in several control planes of the system. In addition, we describe some remarkable parameter loops in control space which allow one to trace identical dynamical behaviors by tuning totally independent parameters. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：129 / 134
页数：6
相关论文
共 50 条
  • [41] Synchronized, periodic, and chaotic dynamics in spin torque oscillator with two free layers
    Taniguchi, Tomohiro
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2019, 483 : 281 - 292
  • [42] Emergent organization of oscillator clusters in coupled self-regulatory chaotic maps
    Ando, Hiroyasu
    Sinha, Sudeshna
    Aihara, Kazuyuki
    PRAMANA-JOURNAL OF PHYSICS, 2008, 70 (06): : 1153 - 1164
  • [43] Emergent organization of oscillator clusters in coupled self-regulatory chaotic maps
    Hiroyasu Ando
    Sudeshna Sinha
    Kazuyuki Aihara
    Pramana, 2008, 70 : 1153 - 1164
  • [44] Coexistence of Periodic, Chaotic and Hyperchaotic Attractors in a System Consisting of a Duffing Oscillator Coupled to a van der Pol Oscillator
    Tanekou, Sosthene Tsamene
    Ramadoss, Janarthanan
    Kengne, Jacques
    Kenmoe, Germaine Djuidje
    Rajagopal, Karthikeyan
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (02):
  • [45] Multi-periodic and chaotic cyclic voltammograms at anodic dissolution of copper
    Dolata, M
    Kawczynski, AL
    POLISH JOURNAL OF CHEMISTRY, 2000, 74 (11) : 1625 - 1635
  • [46] Sound synthesis and chaotic behaviour in Chua's oscillator
    Bilotta, E.
    Campolo, R.
    Pantano, P.
    Stranges, F.
    SCIENTIFIC COMPUTING IN ELECTRICAL ENGINEERING, 2006, 9 : 289 - +
  • [47] Rocard's 1941 Chaotic Relaxation Econometric Oscillator
    Ginoux, Jean-Marc
    Jovanovic, Franck
    Meucci, Riccardo
    Llibre, Jaume
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (03):
  • [48] Analysis of the geometric characteristic quantity of the periodic solutions of the chaotic oscillator system and the quantitative detection of weak periodic signal
    Li Yue
    Xu Kai
    Yang Bao-Jun
    Yuan Ye
    Wu Ning
    ACTA PHYSICA SINICA, 2008, 57 (06) : 3353 - 3358
  • [49] Exciting Chaotic and Quasi-Periodic Oscillations in a Multicircuit Oscillator with a Common Control Scheme
    N. V. Stankevich
    O. V. Astakhov
    A. P. Kuznetsov
    E. P. Seleznev
    Technical Physics Letters, 2018, 44 : 428 - 431
  • [50] Exciting Chaotic and Quasi-Periodic Oscillations in a Multicircuit Oscillator with a Common Control Scheme
    Stankevich, N. V.
    Astakhov, O. V.
    Kuznetsov, A. P.
    Seleznev, E. P.
    TECHNICAL PHYSICS LETTERS, 2018, 44 (05) : 428 - 431
12345