Karnatak Rajat
Nonlinear Dynamics and Time Series Analysis Research Group, Max-Planck-Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany.
PLoS One. 2015 Nov 6;10(11):e0142238. doi: 10.1371/journal.pone.0142238. eCollection 2015.
Linear augmentation has recently been shown to be effective in targeting desired stationary solutions, suppressing bistablity, in regulating the dynamics of drive response systems and in controlling the dynamics of hidden attractors. The simplicity of the procedure is the main highlight of this scheme but questions related to its general applicability still need to be addressed. Focusing on the issue of targeting stationary solutions, this work demonstrates instances where the scheme fails to stabilize the required solutions and leads to other complicated dynamical scenarios. Examples from conservative as well as dissipative systems are presented in this regard and important applications in dissipative predator-prey systems are discussed, which include preventative measures to avoid potentially catastrophic dynamical transitions in these systems.
线性增强最近已被证明在靶向期望的稳态解、抑制双稳性、调节驱动响应系统的动力学以及控制隐藏吸引子的动力学方面是有效的。该过程的简单性是此方案的主要亮点，但与其普遍适用性相关的问题仍需解决。针对靶向稳态解的问题，这项工作展示了该方案未能稳定所需解并导致其他复杂动力学情形的实例。在这方面给出了保守系统以及耗散系统的例子，并讨论了在耗散捕食者 - 猎物系统中的重要应用，其中包括避免这些系统中潜在灾难性动力学转变的预防措施。
