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
- Nasir Ganikhodjaev, Seyit Temir, Hasan Akin, The exact solution of the Potts models with external magnetic field on the Cayley tree , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): 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
- 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
- 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
- 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)
- Youssef N. Raffoul, Ernest Yankson, Positive periodic solutions of functional discrete systems with a parameter , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- S.S. Dragomir, Refinements of the generalized trapezoid inequality in terms of the cumulative variation and applications , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Maja Fosner, Benjamin Marcen, Nejc Sirovnik, On centralizers of standard operator algebras with involution , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- George A. Anastassiou, ð˜²âˆ’ fractional inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): 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
<< < 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
