Existence, uniqueness and other properties of the limit cycle of a generalized Van der Pol equation
In this article, we study the bifurcation of limit cycles from the linear oscillator $\dot{x}=y$, $\dot{y}=-x$ in the class $$ \dot{x}=y,\quad \dot{y}=-x+\varepsilon y^{p+1}\big(1-x^{2q}\big), $$ where $\varepsilon$ is a small positive parameter tending to 0, $p \in \mathbb{N}_0$ is even and...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/22/abstr.html |