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一端受外力的交联振荡器链中的内部传输

INTERNAL ENTRAINMENT IN CHAINS OF COUPLED OSCILLATORS FORCED AT ONE END
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摘要 本文研究了二类一端受外力的交联振荡器链:最邻近多相位交联振荡器链,以及多重交联振荡器链,讨论了它们产生内部传输,即各振荡器与外力具有相同频率的现象。文中近似相位差方程、指数二分性理论和中心流形理论被应用于系统的渐近近似。研究。本文得到了更符合于实际情况的神经网络CPG链动态特性分析结论。 Two kinds of chains of couple oscillators forced at one one end are considered in this paper: Nearest neighbor coupling chains of oscillators with multiple pulse interaction and Multiple coupling chains of oscillators with single pulse interaction.The internal entrainment,f.e.,locked solutions to the chains have the same frequency as the frepuency of forcing,has been studied.The phase difference equations,theory of exponetial dichotomies and central manifolds are applied to study the asymptocity of systems.Some more practical results about the dynamical properties of CPG's systems of coupled neural oscillators are obtained.
出处 《生物数学学报》 CSCD 北大核心 1994年第3期64-71,共8页 Journal of Biomathematics
基金 国家自然科学基金 国家攀登计划经络的研究项目资助
关键词 交联振荡器链 多相位交联 多重交联 内部传输 Chains of coupled oscillators,Multiple pulse interaction Multiple coupling,Internal entrainment.
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参考文献1

  • 1G. B. Ermentrout,N. Kopell. Multiple pulse interactions and averaging in systems of coupled neural oscillators[J] 1991,Journal of Mathematical Biology(3):195~217 被引量:1

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