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
- Sehie Park, Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Sóstenes Lins, Valdenberg Silva, On Maps with a Single Zigzag , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Laurent Amour, Jérémy Faupin, The confined hydrogenoid ion in non-relativistic quantum electrodynamics , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Peter Danchev, Notes on the Isomorphism and Splitting Problems for Commutative Modular Group Algebras , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- Abhijit Banerjee, Arpita Kundu, On uniqueness of \(L\)-functions in terms of zeros of strong uniqueness polynomial , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Balwant Singh Thakur, An iterative method for finite family of hemi contractions in Hilbert space , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- V. V. Palin, E. V. Radkevich, The Maxwell problem and the Chapman projection , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Spencer Bloch, Helene Esnault, Congruences for the Number of Rational Points, Hodge Type and Motivic Conjectures for Fano Varieties , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Elhoussain Arhrrabi, Hamza El-Houari, Fractional Sobolev space: Study of Kirchhoff-Schrödinger systems with singular nonlinearity , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- A.A. Shaikh, C.S. Bagewadi, On ð˜•(ð‘˜)-Contact Metric Manifolds , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
<< < 2 3 4 5 6 7 8 9 10 11 12 13 > >>
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
