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- W201501448 abstract "It is proved that if there exists a periodic solution for a class of non-autonomous differential dynamic systems, it can only be subharmonic, ultra-subharmonic periodic solution is impossible. Moreover, the existence of R-type ultra-subharmonic periodic solution defined for a specified planar system is also denied. As an application of the above conclusions, through investigating some typical examples, it is pointed out that the existence of ultra-subharmonic periodic orbits in a planar perturbation system cannot be determined by second-order Melnikov method. An explanation is also provided." @default.
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- W201501448 date "2005-06-23" @default.
- W201501448 modified "2023-09-27" @default.
- W201501448 title "Nonexistence of ultra-subharmonic periodic orbits in periodically forced differential equation" @default.
- W201501448 doi "https://doi.org/10.1088/1009-1963/14/7/017" @default.
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