5 papers
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…
Odd-even dichotomy in the waveforms of modified Emden oscillators of arbitrary integer power
J. de la Cruz, H. C. Rosu
Closed-form waveforms of the modified Emden oscillators of arbitrary natural power , and of their damped -deformed versions, are…
Normalized eigenfunctions of parametrically factored Schroedinger equations
J. de la Cruz, H. C. Rosu
The factorizations using the general Riccati solution constructed from a given particular solution by means of the Bernoulli ansatz initiated in 1984 by Mielnik and Fernandez C. fo…
Isochronous waveforms of Liénard equations via commutative factorization
G. Gonzalez, O. Cornejo-Perez, J. de la Cruz +1
Isochronous waveform solutions of homogeneous Liénard equations are obtained by a modification of the nonlinear factorization method of Rosu and Cornejo-Pérez. The scheme is based…
Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator
H. C. Rosu, J. de la Cruz
The singular parametric oscillators obtained from the one-parameter Darboux deformation/transformation effected upon the classical harmonic oscillator are introduced and discussed…