Smallest chimera states

被引:68
|
作者
Maistrenko, Yuri [1 ,2 ,3 ]
Brezetsky, Serhiy [1 ]
Jaros, Patrycja [1 ]
Levchenko, Roman [4 ]
Kapitaniak, Tomasz [1 ]
机构
[1] Tech Univ Lodz, Div Dynam, Stefanowskiego 1-15, PL-90924 Lodz, Poland
[2] Natl Acad Sci Ukraine, Inst Math, Tereshchenkivska St 3, UA-01030 Kiev, Ukraine
[3] Natl Acad Sci Ukraine, Ctr Med & Biotech Res, Tereshchenkivska St 3, UA-01030 Kiev, Ukraine
[4] Taras Shevchenko Natl Univ Kyiv, Volodymyrska St 60, UA-01030 Kiev, Ukraine
关键词
COUPLED PENDULA; SPONTANEOUS SYNCHRONY; COMPLEX NETWORKS; OSCILLATORS; POPULATIONS; COHERENCE; DYNAMICS; PATTERNS; SYSTEMS; MODEL;
D O I
10.1103/PhysRevE.95.010203
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We demonstrate that chimera behavior can be observed in small networks consisting of three identical oscillators, with mutual all-to-all coupling. Three different types of chimeras, characterized by the coexistence of two coherent oscillators and one incoherent oscillator (i.e., rotating with another frequency) have been identified, where the oscillators show periodic (two types) and chaotic (one type) behaviors. Typical bifurcations at the transitions from full synchronization to chimera states and between different types of chimeras have been described. Parameter regions for the chimera states are obtained in the form of Arnold tongues, issued from a singular parameter point. Our analysis suggests that chimera states can be observed in small networks relevant to various real-world systems.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Multistable chimera states in a smallest population of three coupled oscillators
    Ragavan, A.
    Manoranjani, M.
    Senthilkumar, D. V.
    Chandrasekar, V. K.
    [J]. PHYSICAL REVIEW E, 2023, 107 (04)
  • [2] The smallest chimera state for coupled pendula
    Wojewoda, Jerzy
    Czolczynski, Krzysztof
    Maistrenko, Yuri
    Kapitaniak, Tomasz
    [J]. SCIENTIFIC REPORTS, 2016, 6
  • [3] The smallest chimera state for coupled pendula
    Jerzy Wojewoda
    Krzysztof Czolczynski
    Yuri Maistrenko
    Tomasz Kapitaniak
    [J]. Scientific Reports, 6
  • [4] Robust features of chimera states and the implementation of alternating chimera states
    Ma, Rubao
    Wang, Jianxiong
    Liu, Zonghua
    [J]. EPL, 2010, 91 (04)
  • [5] The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators
    Awal, Naziru M.
    Bullara, Domenico
    Epstein, Irving R.
    [J]. CHAOS, 2019, 29 (01)
  • [6] Traveling chimera states
    Omel'chenko, O. E.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2019, 52 (10)
  • [7] Symmetries of Chimera States
    Kemeth, Felix P.
    Haugland, Sindre W.
    Krischer, Katharina
    [J]. PHYSICAL REVIEW LETTERS, 2018, 120 (21)
  • [8] Quantum chimera states
    Viennot, David
    Aubourg, Lucile
    [J]. PHYSICS LETTERS A, 2016, 380 (5-6) : 678 - 683
  • [9] Twisted chimera states and multicore spiral chimera states on a two-dimensional torus
    Xie, Jianbo
    Knobloch, Edgar
    Kao, Hsien-Ching
    [J]. PHYSICAL REVIEW E, 2015, 92 (04):
  • [10] Chimera states in plasmonic nanoresonators
    EESA RAHIMI
    KüR?AT ?ENDUR
    [J]. Photonics Research, 2018, (05) : 197 - 203