N-Dimensional Zero-Hopf Bifurcation of Polynomial Differential Systems via Averaging Theory of Second Order
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-020-09501-6
Abstract: Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Hopf equilibrium point of polynomial vector fields with cubic nonlinearities in ℝ n $\mathbb {R}^{n}$ . We prove that… read more here.
Keywords: averaging theory; second order; limit cycles; theory second ... See more keywords
Principal solution in Weyl-Titchmarsh theory for second orderSturm-Liouville equation on time scales
Sign Up to like & getrecommendations! Published in 2017 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2017.1.2
Abstract: A connection between the oscillation theory and the Weyl--Titchmarsh theory for the second order Sturm--Liouville equation on time scales is established by using the principal solution. In particular, it is shown that the Weyl solution… read more here.
Keywords: principal solution; time; solution; theory second ... See more keywords
Second Gradient Electromagnetostatics: Electric Point Charge, Electrostatic and Magnetostatic Dipoles
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12071104
Abstract: In this paper, we study the theory of second gradient electromagnetostatics as the static version of second gradient electrodynamics. The theory of second gradient electrodynamics is a linear generalization of higher order of classical Maxwell… read more here.
Keywords: second gradient; electrodynamics; gradient electromagnetostatics; point ... See more keywords