Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Stefan C. Mancas"'
Autor:
Stefan C. Mancas, Ronald Adams
Publikováno v:
Chaos, Solitons & Fractals. 126:385-393
We investigate the KdV-Burgers and Gardner equations with dissipation and external perturbation terms by the approach of dynamical systems and Shil'nikov's analysis. The stability of the equilibrium point is considered, and Hopf bifurcations are inve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10e4336ff1ff9d7f359c9a2ef973f219
https://doi.org/10.1016/j.chaos.2019.07.006
https://doi.org/10.1016/j.chaos.2019.07.006
Publikováno v:
Physics Letters A. 383:2692-2697
We generalize the Fresnel integrals and introduce a class of planar spirals F_n, which contains the Cornu spiral as the case F_2. Their Darboux parametric deformations are also investigated. The F_3 spiral and its Darboux deformed counterparts are il
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d13560965e5f58dbaf5dc661c68dc9f0
https://doi.org/10.1016/j.physleta.2019.05.040
https://doi.org/10.1016/j.physleta.2019.05.040
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 68:63-71
We present a stability analysis of the standard nonautonomous systems type for a recently introduced generalized Lane-Emden equation which is shown to explain the presence of some of the structures observed in the atomic spatial distributions of magn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5e3127104d721136fac2c9239b09cb1
https://doi.org/10.1016/j.cnsns.2018.08.001
https://doi.org/10.1016/j.cnsns.2018.08.001
We obtain closed-form solutions of several inhomogeneous Lienard equations by the factorization method. The two factorization conditions involved in the method are turned into a system of first-order differential equations containing the forcing term
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de8b6848b28ce9cf0e519bb33e9a2d7f
Autor:
H. C. Rosu, Stefan C. Mancas
Using the Riesz-Feller fractional derivative, we apply the factorization algorithm to the fractional quantum harmonic oscillator along the lines previously proposed by Olivar-Romero and Rosas-Ortiz, extending their results. We solve the non-Hermitian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ff66f2342941fb0abc0a147c4349c8b
http://arxiv.org/abs/2006.10872
http://arxiv.org/abs/2006.10872
Autor:
H. C. Rosu, Stefan C. Mancas
Publikováno v:
Zeitschrift für Naturforschung A. 73:805-814
We show that some Emden-Fowler (EF) equations encountered in astrophysics and cosmology belong to two EF integrable classes of the type d^2z/d{\chi}^2=A \chi^{-\lambda-2}z^n for \lambda=(n-1)/2 (class one), and \lambda=n+1 (class two). We find their
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::407a1e48f614797ad1865c63aecff6a0
https://doi.org/10.1515/zna-2018-0062
https://doi.org/10.1515/zna-2018-0062
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 103:106003
We present an analysis of an extended Rayleigh-Plesset (RP) equation for a three dimensional cell of microorganisms such as bacteria or viruses in some liquid, where the cell membrane in bacteria or the envelope (capsid) in viruses possess elastic pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c765c50112cbdfa86fd3e258a55ab642
https://doi.org/10.1016/j.cnsns.2021.106003
https://doi.org/10.1016/j.cnsns.2021.106003
Autor:
Stefan C. Mancas, Germain Rousseaux
Publikováno v:
Gen.Rel.Grav.
Gen.Rel.Grav., 2020, 52 (6), pp.55. ⟨10.1007/s10714-020-02705-y⟩
General Relativity and Gravitation
General Relativity and Gravitation, Springer Verlag, 2020, 52 (6), pp.55. ⟨10.1007/s10714-020-02705-y⟩
Gen.Rel.Grav., 2020, 52 (6), pp.55. ⟨10.1007/s10714-020-02705-y⟩
General Relativity and Gravitation
General Relativity and Gravitation, Springer Verlag, 2020, 52 (6), pp.55. ⟨10.1007/s10714-020-02705-y⟩
We show the analogy between a generalization of the Rayleigh-Plesset equation of bubble dynamics including surface tension, elasticity and viscosity effects with a reformulation of the Friedmann-Lema\^itre set of equations describing the expansion of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e9815ef91b6e908c64180db285de036
https://hal.archives-ouvertes.fr/hal-02870847
https://hal.archives-ouvertes.fr/hal-02870847
We analyze the two-dimensional motion of a rigid body due to a constant torque generated by a force acting on the body parallel to the surface on which the body moves extending an old note of Ferris-Prabhu [Am. J. Phys. 38, 1356-1357 (1970)] and supp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f51d1b652597cdfd42a096e2dc03ec9
Autor:
Haret Codratian Rosu, Stefan C. Mancas
Publikováno v:
The Nepali Mathematical Sciences Report. 34:47-51
Since the works of [1] and [2], it is known that the solution of the Ermakov equation is an important ingredient in the spectral problem of the Camassa-Holm equation. Here, we review this interesting issue and consider in addition more features of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::69ef056edc02537dc5d4d3103ba9bf2d
https://doi.org/10.3126/nmsr.v34i1-2.30016
https://doi.org/10.3126/nmsr.v34i1-2.30016