Multistable jittering in oscillators with pulsatile delayed feedback.
Multistable jittering in oscillators with pulsatile delayed feedback.
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具有脉动延迟反馈的振荡器中的多稳态抖动。
DOI：
10.1103/physrevlett.114.178103
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发表时间：
2015
影响因子：
8.6
通讯作者：
S. Yanchuk
中科院分区：
文献类型：
--
作者：
V. Klinshov;L. Lücken;D. Shchapin;V. Nekorkin;S. Yanchuk
具有时滞脉冲反馈的振荡系统出现在各个应用和理论研究领域，近年来受到越来越多的关注。对于这样的系统，我们报告了一个显著的周期性规则尖峰状态的不稳定情景。在分岔点上出现了许多非等穗间区间的状态。我们证明了新出现的所谓“抖动”状态的数量随着延迟值呈指数增长。虽然从动力系统的观点来看，这似乎是高度退化的，但“多抖动”分岔在大类系统中稳健地发生。我们不仅在典型的减相模型中观察到它，而且在模拟霍奇金-赫胥黎神经元模型和电子电路实验中也观察到它。
Oscillatory systems with time-delayed pulsatile feedback appear in various applied and theoretical research areas, and received a growing interest in recent years. For such systems, we report a remarkable scenario of destabilization of a periodic regular spiking regime. At the bifurcation point numerous regimes with nonequal interspike intervals emerge. We show that the number of the emerging, so-called "jittering" regimes grows exponentially with the delay value. Although this appears as highly degenerate from a dynamical systems viewpoint, the "multijitter" bifurcation occurs robustly in a large class of systems. We observe it not only in a paradigmatic phase-reduced model, but also in a simulated Hodgkin-Huxley neuron model and in an experiment with an electronic circuit.
影响因子：
4.3
作者：
Canavier CC;Achuthan S
通讯作者：
Achuthan S
影响因子：
20.1
作者：
ANUMONWO, JMB;DELMAR, M;JALIFE, J
通讯作者：
JALIFE, J