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科学应用中许多自持振荡系统的仿真中,极限环具有重要意义。典型例子包括:
 
科学应用中许多自持振荡系统的仿真中,极限环具有重要意义。典型例子包括:
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* 空气动力学中的极限环振荡<ref name="Thomas">Thomas, J. P., Dowell, E. H., & Hall, K. C. (2002). Nonlinear inviscid aerodynamic effects on transonic divergence, flutter, and limit-cycle oscillations. ''AIAA Journal'', 40(4), 638–646.</ref>
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* [[空气动力学]]中的极限环振荡<ref name="Thomas">Thomas, J. P., Dowell, E. H., & Hall, K. C. (2002). Nonlinear inviscid aerodynamic effects on transonic divergence, flutter, and limit-cycle oscillations. ''AIAA Journal'', 40(4), 638–646.</ref>
 
* 神经元动作电位的[[霍奇金–赫胥黎模型]](Hodgkin–Huxley model)
 
* 神经元动作电位的[[霍奇金–赫胥黎模型]](Hodgkin–Huxley model)
 
* 糖酵解过程中的[[塞尔科夫模型]](Sel'kov model)<ref name="Selkov">Sel'kov, E. E. (1968). Self-oscillations in glycolysis 1. A simple kinetic model. ''European Journal of Biochemistry'', 4(1), 79–86.</ref>
 
* 糖酵解过程中的[[塞尔科夫模型]](Sel'kov model)<ref name="Selkov">Sel'kov, E. E. (1968). Self-oscillations in glycolysis 1. A simple kinetic model. ''European Journal of Biochemistry'', 4(1), 79–86.</ref>
 
* 动物基因表达、激素水平和体温的周期性变化,属于[[昼夜节律]](circadian rhythm)<ref name="Leloup">Leloup, J.-C., Gonze, D., & Goldbeter, A. (1999). Limit cycle models for circadian rhythms based on transcriptional regulation in ''Drosophila'' and ''Neurospora''. ''Journal of Biological Rhythms'', 14(6), 433–448.</ref>
 
* 动物基因表达、激素水平和体温的周期性变化,属于[[昼夜节律]](circadian rhythm)<ref name="Leloup">Leloup, J.-C., Gonze, D., & Goldbeter, A. (1999). Limit cycle models for circadian rhythms based on transcriptional regulation in ''Drosophila'' and ''Neurospora''. ''Journal of Biological Rhythms'', 14(6), 433–448.</ref>
 
* 癌细胞在局限微环境中的迁移<ref name="Bruckner">Brückner, D. B., Fink, A., Schreiber, C., Röttgermann, P. J. F., Rädler, J. O., & Broedersz, C. P. (2019). Stochastic nonlinear dynamics of confined cell migration in two-state systems. ''Nature Physics'', 15(6), 595–601.</ref>
 
* 癌细胞在局限微环境中的迁移<ref name="Bruckner">Brückner, D. B., Fink, A., Schreiber, C., Röttgermann, P. J. F., Rädler, J. O., & Broedersz, C. P. (2019). Stochastic nonlinear dynamics of confined cell migration in two-state systems. ''Nature Physics'', 15(6), 595–601.</ref>
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* 非线性电路系统,包括[[范德波尔模型]](Van der Pol model)<ref name="Ginoux">Ginoux, J.-M., & Letellier, C. (2012). Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept. ''Chaos'', 22(2), 023120.</ref>
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* [[非线性电路系统]],包括[[范德波尔模型]](Van der Pol model)<ref name="Ginoux">Ginoux, J.-M., & Letellier, C. (2012). Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept. ''Chaos'', 22(2), 023120.</ref>
    
== 参考文献 ==
 
== 参考文献 ==
    
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