Zero-Hopf bifurcation in the general Van der Pol-Duffing equation
نویسندگان
چکیده
In this work we study the invariant sets which emerge from zero-Hopf bifurcations that general Van der Pol-Duffing equations can exhibit. We provide sufficient conditions for simultaneous bifurcation of three periodic solutions and two torus origin system. use recent results related to averaging method in order analytically obtain our results. also numerical examples all analytical provide.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2022
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2022.104609