Spiral organization of periodic structures in the Lorenz-Stenflo system

被引：20
|
作者：
Rech, Paulo C. [1 ]
机构：
[1] Univ Estado Santa Catarina, Dept Fis, BR-89219710 Joinville, Brazil
来源：
PHYSICA SCRIPTA | 2016年 / 91卷 / 07期
关键词：
Lorenz-Stenflo system; chaos; Lyapunov exponents; spiral organization; period-adding; EQUATIONS; DYNAMICS;
D O I：
10.1088/0031-8949/91/7/075201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper reports the existence of organized periodic structures embedded in chaotic regions of a parameter plane of the Lorenz-Stenflo system. More specifically, this work reports on spiral organization of periodic structures observed in the (sigma, s) parameter plane of the Lorenz-Stenflo system.
引用
收藏
页数：4
相关论文
共 45 条
  • [31] Geometric method for forming periodic orbits in the Lorenz system
    Nicholson, S. B.
    Kim, Eun-jin
    PHYSICA SCRIPTA, 2016, 91 (04)
  • [32] Spiral periodic structures in a parameter plane of an ecological model
    da Silva, Rodrigo A.
    Rech, Paulo C.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 254 : 9 - 13
  • [33] Resonances of periodic orbits in the Lorenz system
    Algaba, Antonio
    Gamero, Estanislao
    Merino, Manuel
    Rodriguez-Luis, Alejandro J.
    NONLINEAR DYNAMICS, 2016, 84 (04) : 2111 - 2136
  • [34] Spiral organization of quasi-periodic shrimp-shaped domains in a discrete predator-prey system
    Pati, N. C.
    CHAOS, 2024, 34 (08)
  • [35] A quasi-periodic gravity modulation to suppress chaos in a Lorenz system
    Youssef Joundy
    Hamza Rouah
    Ahmed Taik
    International Journal of Dynamics and Control, 2021, 9 : 475 - 493
  • [36] Controlling chaos with periodic parametric perturbations in Lorenz system
    Wu, Zhengmao
    Xie, Jianying
    Fang, Yanyan
    Xu, Zhenyuan
    CHAOS SOLITONS & FRACTALS, 2007, 32 (01) : 104 - 112
  • [37] On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system
    Guo, Siyu
    Luo, Albert C. J.
    CHAOS, 2021, 31 (04)
  • [38] Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system
    Algaba, A.
    Dominguez-Moreno, M. C.
    Merino, M.
    Rodriguez-Luis, A. J.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 30 (1-3) : 328 - 343
  • [39] Self-similarities of periodic structures for a discrete model of a two-gene system
    de Souza, S. L. T.
    Lima, A. A.
    Caldas, I. L.
    Medrano-T, R. O.
    Guimaraes-Filho, Z. O.
    PHYSICS LETTERS A, 2012, 376 (15) : 1290 - 1294
  • [40] Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization
    Pinsky, Tali
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2023, 120 (31)
12345