硬振子中的复杂动力学：常数输入的影响
Complex dynamics in hard oscillators: the influence of constant inputs
摘要：
具有不同稳定吸引子共存的系统在系统生物学中被广泛利用，以适当地模拟活细胞中产生的分化过程。为了描述基因调控网络，已经提出了几种基于非线性常微分方程系统的确定性模型。很少有研究已经发展到表征如何无论是外部输入或耦合可以驱动系统与不同的共存状态。为了简单起见，在这篇手稿中，我们专注于属于径向等时钟类的系统，表现出硬激励，以研究其复杂的动力学，局部和全局分岔出现在恒定的外部输入。特别地，检测到了极限环分岔上鞍点的出现。
英文摘要：
Systems with the coexistence of different stable attractors are widely exploited in systems biology in order to suitably model the differentiating processes arising in living cells. In order to describe genetic regulatory networks several deterministic models based on systems of nonlinear ordinary differential equations have been proposed. Few studies have been developed to characterize how either an external input or the coupling can drive systems with different coexisting states. For the sake of simplicity, in this manuscript we focus on systems belonging to the class of radial isochron clocks that exhibits hard excitation, in order to investigate their complex dynamics, local and global bifurcations arising in presence of constant external inputs. In particular the occurrence of saddle node on limit cycle bifurcations is detected.
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