Isochronous modified Emden Oscillators through commutative factorization
DOI:
https://doi.org/10.66131/JDSC12202662-68Keywords:
Liénard equation, Isochronous waveform, Bernoulli equation, Commutative factorizationAbstract
In this paper, we focus on the nonlinear oscillators of the modified Emden class of odd power $q$ with additional linear harmonic term.
They form an interesting type of Li\'enard oscillators that we
approach by the generalized commutative factorization method in which isochronous solutions are obtained from equivalent Bernoulli equations.
Our results show that there exists an infinite family of isochronous Emden oscillators, with power $q$ damping coefficients.
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