Limit Cycles of Li´enard-Type Dynamical Systems
-
Valery A. Gaiko
valery.gaiko@yahoo.com
Downloads
Abstract
In this paper, using geometric properties of the field rotation parameters, we present a solution of Smale‘s Thirteenth Problem on the maximum number of limit cycles for Li´enard‘s polynomial system, generalize the obtained results for special classes of polynomial systems, and complete the global qualitative analysis of a piecewise linear dynamical system approximating a Li´enard-type polynomial system with an arbitrary number of finite singularities.
Keywords
Similar Articles
- George A. Anastassiou, Foundations of generalized Prabhakar-Hilfer fractional calculus with applications , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Adrian Petrus¸el, Ioan A. Rus, Marcel Adrian S¸erban, Fixed Points for Operators on Generalized Metric Spaces , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Razvan A. Mezei, Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- B. K. Tyagi, Harsh V. S. Chauhan, On generalized closed sets in generalized topological spaces , CUBO, A Mathematical Journal: Vol. 18 No. 1 (2016): CUBO, A Mathematical Journal
- René Schott, G. Stacey Staples, Operator homology and cohomology in Clifford algebras , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Sébastien Breteaux, Higher order terms for the quantum evolution of a Wick observable within the Hepp method , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Hiroko Manaka, Wataru Takahashi, Weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Ravi P. Agarwal, Triple solutions of constant sign for a system of fredholm integral equations , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Paolo D‘alessandro, Closure of pointed cones and maximum principle in Hilbert spaces , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- Pradip Majhi, Debabrata Kar, Beta-almost Ricci solitons on Sasakian 3-manifolds , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2008-10-01
How to Cite
[1]
V. A. Gaiko, “Limit Cycles of Li´enard-Type Dynamical Systems”, CUBO, vol. 10, no. 3, pp. 115–132, Oct. 2008.
Issue
Section
Articles
