A note on a piecewise-linear Duffing-type system

G Tigan, A Astolfi - International Journal of Bifurcation and Chaos, 2007 - World Scientific
In [Tonnelier, 2005] it was suggested that the number of limit cycles in a piecewise-linear
system could be closely related to the number of zones, that is, the number of parts of the …

On the number of limit cycles of a cubic polynomials Hamiltonian system under quintic perturbation

H Zhou, W Xu, S Li, Y Zhang - Applied mathematics and computation, 2007 - Elsevier
This paper is concerned with the number and distribution of limit cycles of a cubic
Hamiltonian system under quintic perturbation. By using the bifurcation theory and the …

[PDF][PDF] Existence and distribution of limit cycles in a Hamiltonian system

G Tigan - Applied Mathematics E-Notes, 2006 - emis.icm.edu.pl
Existence And Distribution Of Limit Cycles In A Hamiltonian System∗ Page 1 Applied
Mathematics E-Notes, 6(2006), 176-185 c ISSN 1607-2510 Available free at mirror sites of …

Detecting the limit cycles for a class of Hamiltonian systems under thirteen-order perturbed terms

G Tigan - arXiv preprint math/0512342, 2005 - arxiv.org
It this paper we study a class of perturbed Hamiltonian systems under perturbations of
thirteen order in order to detect the number of limit cycles which bifurcate from some periodic …

Thirteen limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms

H Zhou, W Xu - Applied mathematics and computation, 2008 - Elsevier
The number and distribution of limit cycles of a cubic Hamiltonian system under higher-order
perturbed terms is investigated. By using the bifurcation theory and the method of detection …

[PDF][PDF] On a family of Hamiltonian cubic planar differential systems

T Gheorghe - Buletinul Academiei de Ştiinţe a Republicii Moldova …, 2006 - ibn.idsi.md
A class of planar perturbed Hamiltonian systems are studied in the present work in order to
identify the limit cycles. The closed curves of the unperturbed associated Hamiltonian …

[引用][C] DETECTION FUNCTION METHOD AND ITS APPLICATION TO A PERTURBED HAMILTONIAN SYSTEM

G TIGAN