Generalized counter-rotating oscillators: Mixed synchronization

被引:11
作者
Bhowmick, Sourav K. [1 ,2 ]
Bera, Bidesh K. [3 ]
Ghosh, Dibakar [3 ]
机构
[1] Asutosh Coll, Dept Elect, Kolkata 700026, India
[2] Indian Inst Chem Biol, CSIR, Cent Instrumentat, Kolkata 700032, India
[3] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, India
关键词
Noise-induced synchronization; Mixed synchronization; Counter-rotating electronics circuit; SYSTEMS; STABILITY; VORTICES; NOISE; CHAOS;
D O I
10.1016/j.cnsns.2014.09.024
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we report mixed synchronization between two counter rotating chaotic oscillators. We describe a procedure how to obtain a counter rotating oscillator for generalized oscillators. We elaborate the method with numerical examples of the Sprott system, Pikovsky-Rabinovich (PR) circuit model. Noise-induced mixed synchronization is also reported in PR circuit model. The physical realization of mixed synchronization in an electronic circuit of two counters-rotating Sprott systems also shown. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:692 / 701
页数:10
相关论文
共 32 条
[1]  
[Anonymous], 1927, MAG J SCI, V3, P65
[2]   AMPLITUDE RESPONSE OF COUPLED OSCILLATORS [J].
ARONSON, DG ;
ERMENTROUT, GB ;
KOPELL, N .
PHYSICA D, 1990, 41 (03) :403-449
[3]   Hierarchy and stability of partially synchronous oscillations of diffusively coupled dynamical systems [J].
Belykh, VN ;
Belykh, IV ;
Hasler, M .
PHYSICAL REVIEW E, 2000, 62 (05) :6332-6345
[4]   Synchronization in counter-rotating oscillators [J].
Bhowmick, Sourav K. ;
Ghosh, Dibakar ;
Dana, Syamal K. .
CHAOS, 2011, 21 (03)
[5]  
Czolczynski K, 2012, INT J BIFURCAT CHAOS, V22
[6]   Synchronization of pendula rotating in different directions [J].
Czolczynski, Krzysztof ;
Perlikowski, Przemyslaw ;
Stefanski, Andrzej ;
Kapitaniak, T .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (09) :3658-3672
[7]   Vortex merging, oscillation, and quasiperiodic structure in a linear array of elongated vortices [J].
Fukuta, H ;
Murakami, Y .
PHYSICAL REVIEW E, 1998, 57 (01) :449-459
[8]   Stochastic resonance [J].
Gammaitoni, L ;
Hanggi, P ;
Jung, P ;
Marchesoni, F .
REVIEWS OF MODERN PHYSICS, 1998, 70 (01) :223-287
[9]   On the various kinds of synchronization in delayed Dufng-Van der Pol system [J].
Ghosh, Dibakar ;
Chowdhury, A. Roy ;
Saha, Papri .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (04) :790-803
[10]   Design of coupling for synchronization in time-delayed systems [J].
Ghosh, Dibakar ;
Grosu, Ioan ;
Dana, Syamal K. .
CHAOS, 2012, 22 (03)