Mishra Arindam, Hens Chittaranjan, Bose Mridul, Roy Prodyot K, Dana Syamal K
Department of Physics, Jadavpur University, Kolkata 700032, India.
CSIR-Indian Institute of Chemical Biology, Kolkata 700032, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062920. doi: 10.1103/PhysRevE.92.062920. Epub 2015 Dec 22.
We report chimeralike states in an ensemble of oscillators using a type of global coupling consisting of two components: attractive and repulsive mean-field feedback. We identify the existence of two types of chimeralike states in a bistable Liénard system; in one type, both the coherent and the incoherent populations are in chaotic states (which we refer to as chaos-chaos chimeralike states) and, in another type, the incoherent population is in periodic state while the coherent population has irregular small oscillation. We find a metastable state in a parameter regime of the Liénard system where the coherent and noncoherent states migrate in time from one to another subpopulation. The relative size of the incoherent subpopulation, in the chimeralike states, remains almost stable with increasing size of the network. The generality of the coupling configuration in the origin of the chimeralike states is tested, using a second example of bistable system, the van der Pol-Duffing oscillator where the chimeralike states emerge as weakly chaotic in the coherent subpopulation and chaotic in the incoherent subpopulation. Furthermore, we apply the coupling, in a simplified form, to form a network of the chaotic Rössler system where both the noncoherent and the coherent subpopulations show chaotic dynamics.
我们使用一种由吸引性和排斥性平均场反馈两个分量组成的全局耦合，报告了振荡器集合中的类嵌合态。我们在双稳Liénard系统中识别出两种类嵌合态的存在；在一种类型中，相干群体和非相干群体都处于混沌状态（我们称之为混沌 - 混沌类嵌合态），而在另一种类型中，非相干群体处于周期状态，而相干群体有不规则的小振荡。我们在Liénard系统的一个参数区域中发现了一个亚稳态，其中相干态和非相干态在时间上从一个亚群体迁移到另一个亚群体。在类嵌合态中，非相干亚群体的相对大小随着网络规模的增加几乎保持稳定。使用双稳系统的第二个例子——范德波尔 - 杜芬振荡器，测试了类嵌合态起源中耦合配置的一般性，其中类嵌合态在相干亚群体中以弱混沌出现，在非相干亚群体中为混沌。此外，我们以简化形式应用这种耦合，形成一个混沌Rössler系统网络，其中非相干和相干亚群体都表现出混沌动力学。
