Multistable jittering in oscillators with pulsatile delayed feedback
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 nume...
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| Veröffentlicht in: | Physical review letters 2015-05, Vol.114 (17), p.178103-178103, Article 178103 |
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| container_title | Physical review letters |
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| creator | Klinshov, Vladimir Lücken, Leonhard Shchapin, Dmitry Nekorkin, Vladimir Yanchuk, Serhiy |
| description | 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. |
| doi_str_mv | 10.1103/PhysRevLett.114.178103 |
| format | Article |
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| subjects | Bifurcations Biological Clocks Delay Dynamical systems Dynamics Feedback Models, Neurological Models, Theoretical Neurons Neurons - physiology Oscillators Spiking |
| title | Multistable jittering in oscillators with pulsatile delayed feedback |
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