3 papers
nlin.SI2026
A family of non-autonomous hybrid Lienard oscillators based on a parametrically extended commutative factorization
J. de la Cruz, H. C. Rosu, G. Gonzalez +1
We introduce a class of nonautonomous nonlinear oscillator equations of mixed Liénard type that arises from a parametric deformation of the commutative factorization procedure appl…
nlin.SI2026
Isochronous and underdamped waveforms of modified Emden oscillators
J. de la Cruz, H. C. Rosu
Bernoulli-type waveforms for modified Emden nonlinear oscillators of arbitrary natural power are obtained through a generalized commutative factorization approach. These oscill…
math-ph2026
Clothoid helices obtained via the Lie-Darboux method
H. C. Rosu, J. de la Cruz, P. Lemus-Basilio
The clothoid helices that have both curvature and torsion directly proportional to the arclength are obtained via the Lie-Darboux method and analyzed in some detail. Shifted counte…