Oscillating synchronization in delayed oscillators with time-varying time delay coupling: Experimental observation

被引:7
作者
Karmakar, Biswajit [1 ]
Biswas, Debabrata [2 ]
Banerjee, Tanmoy [1 ]
机构
[1] Univ Burdwan, Dept Phys, Chaos & Complex Syst Res Lab, Burdwan 713104, W Bengal, India
[2] Bankura Univ, Dept Phys, Bankura 722155, W Bengal, India
关键词
SYSTEMS;
D O I
10.1063/5.0003700
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The time-varying time-delayed (TVTD) systems attract the attention of research communities due to their rich complex dynamics and wide application potentiality. Particularly, coupled TVTD systems show several intriguing behaviors that cannot be observed in systems with a constant delay or no delay. In this context, a new synchronization scenario, namely, oscillating synchronization, was reported by Senthilkumar and Lakshmanan [Chaos 17, 013112 (2007)], which is exclusive to the time-varying time delay systems only. However, like most of the dynamical behavior of TVTD systems, its existence has not been established in an experiment. In this paper, we report the first experimental observation of oscillating synchronization in coupled nonlinear time-delayed oscillators induced by a time-varying time delay in the coupling path. We implement a simple yet effective electronic circuit to realize the time-varying time delay in an experiment. We show that depending upon the instantaneous variation of the time delay, the system shows a synchronization scenario oscillating among lag, complete, and anticipatory synchronization. This study may open up the feasibility of applying oscillating synchronization in engineering systems.
引用
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页数:7
相关论文
共 38 条
[31]   Delay time modulation induced oscillating synchronization and intermittent anticipatory/lag and complete synchronizations in time-delay nonlinear dynamical systems [J].
Senthilkumar, D. V. ;
Lakshmanan, M. .
CHAOS, 2007, 17 (01)
[32]   Transition from anticipatory to lag synchronization via complete synchronization in time-delay systems [J].
Senthilkumar, DV ;
Lakshmanan, M .
PHYSICAL REVIEW E, 2005, 71 (01)
[33]   Generalized synchronization in time-delayed systems [J].
Shahverdiev, EM ;
Shore, KA .
PHYSICAL REVIEW E, 2005, 71 (01)
[34]   Synchronization transitions in coupled time-delay electronic circuits with a threshold nonlinearity [J].
Srinivasan, K. ;
Senthilkumar, D. V. ;
Murali, K. ;
Lakshmanan, M. ;
Kurths, J. .
CHAOS, 2011, 21 (02)
[35]  
Sugitani Y., 2012, NONLINEAR DYNAM, V67, P1695, DOI [10.1007/s11071-011-0097-0, DOI 10.1007/S11071-011-0097-0]
[36]   Global dynamics of low immersion high-speed milling [J].
Szalai, R ;
Stépán, G ;
Hogan, SJ .
CHAOS, 2004, 14 (04) :1069-1077
[37]   Anticipating chaotic synchronization [J].
Voss, HU .
PHYSICAL REVIEW E, 2000, 61 (05) :5115-5119
[38]   Complete synchronization and generalized synchronization of one-way coupled time-delay systems [J].
Zhan, M ;
Wang, XG ;
Gong, XF ;
Wei, GW ;
Lai, CH .
PHYSICAL REVIEW E, 2003, 68 (03) :5