Sethia Gautam C, Sen Abhijit, Johnston George L
Institute for Plasma Research, Bhat, Gandhinagar 382 428, India and Max-Planck-Institute for Physics of Complex Systems, 01187 Dresden, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042917. doi: 10.1103/PhysRevE.88.042917. Epub 2013 Oct 21.
We investigate the possibility of obtaining chimera state solutions of the nonlocal complex Ginzburg-Landau equation (NLCGLE) in the strong coupling limit when it is important to retain amplitude variations. Our numerical studies reveal the existence of a variety of amplitude-mediated chimera states (including stationary and nonstationary two-cluster chimera states) that display intermittent emergence and decay of amplitude dips in their phase incoherent regions. The existence regions of the single-cluster chimera state and both types of two-cluster chimera states are mapped numerically in the parameter space of C(1) and C(2), the linear and nonlinear dispersion coefficients, respectively, of the NLCGLE. They represent a new domain of dynamical behavior in the well-explored rich phase diagram of this system. The amplitude-mediated chimera states may find useful applications in understanding spatiotemporal patterns found in fluid flow experiments and other strongly coupled systems.
我们研究了在强耦合极限下，当保留振幅变化很重要时，获得非局部复金兹堡-朗道方程（NLCGLE）的奇异态解的可能性。我们的数值研究揭示了多种振幅介导的奇异态（包括静态和非静态双簇奇异态）的存在，这些奇异态在其相位非相干区域表现出振幅凹陷的间歇性出现和衰减。在NLCGLE的线性和非线性色散系数C(1)和C(2)的参数空间中，通过数值方法绘制了单簇奇异态和两种双簇奇异态的存在区域。它们代表了该系统已充分探索的丰富相图中的一个新的动力学行为领域。振幅介导的奇异态可能在理解流体流动实验和其他强耦合系统中发现的时空模式方面找到有用的应用。
