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Bifurcations of a limit cycle in nonlinear dynamic systems

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International Applied Mechanics Aims and scope

A skew-symmetry principle that governs the formation of closed and quasiperiodic trajectories is formulated. Bifurcations of a limit cycle in nonlinear dynamic systems are analyzed. The phenomenon of drift is explained. An approximate solution of the limit cycle equations is found through a qualitative analysis

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine, 03057

    N. V. Nikitina

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  1. N. V. Nikitina
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Correspondence to N. V. Nikitina.

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Translated from Prikladnaya Mekhanika, Vol. 45, No. 9, pp. 126–136, September 2009.

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Nikitina, N.V. Bifurcations of a limit cycle in nonlinear dynamic systems. Int Appl Mech 45, 1023–1032 (2009). https://doi.org/10.1007/s10778-010-0243-2

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  • DOI: https://doi.org/10.1007/s10778-010-0243-2

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