We have investigated synchronized patterns in a network of Thomas oscillators coupled with sinusoidal nonlinear and linear couplings. Patterns like chimera and cluster states are not only observed for many nonlocally coupled oscillators, it is also observed for nearly local coupled network topology in the case of nonlinear coupling. As coupling radius increases, the critical coupling constant for complete synchronization decreases. Crater-like structure is also observed in the snapshot in the case of nonlinear coupling only which agrees with similar observation found in the study of active Brownian particles using the stochastic method. The critical number of oscillators for the onset of chimera is forty and the infinite limit is found to be hundred. No chimera is observed in the zero friction limit due to hyperchaotic motion with large amplitude oscillations, but there is a sharp transition from disorder to order distribution.

我们研究了正弦非线性和线性耦合的Thomas振荡器网络中的同步模式。不仅在许多非本地耦合的振荡器中观察到了诸如嵌合体和簇状态的模式，而且在非线性耦合的情况下，对于几乎本地的耦合网络拓扑也观察到了这种模式。随着耦合半径的增加，用于完全同步的临界耦合常数会减小。在快照中，仅在非线性耦合的情况下也观察到了类似火山口的结构，这与使用随机方法研究活性布朗粒子时发现的类似观察结果是一致的。对于嵌合体发作，振荡器的临界数量为40，而无限极限为100。