The simplest amplitude-period formula for non-conservative oscillators
Keyword(s):
The simplest frequency formulation for conservative oscillators was proposed in 2019 (Results Phys 2019;15:102546). However, it becomes invalid for non-conservative oscillators. This work suggests the simplest amplitude-period formulation for non-conservative oscillators. The existence of a periodic solution of a second-order ordinary differential equation is given, and the periodic orbits are easily obtained. To the best of the authors’ knowledge, such a powerful result is not available in the literature, providing a tool to determining periodic orbits/limit cycles in the most general scenario.
1982 ◽
Vol 37
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pp. 830-839
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2004 ◽
Vol 48
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pp. 151-164
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1997 ◽
Vol 125
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pp. 2599-2604
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1987 ◽
Vol 101
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pp. 96-96
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