Polynomial differential systems with explicit non-algebraic limit cycles
Up to now all the examples of polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree at most 5. Here we show that already there are polynomial differential systems of degree at least exhibiting explicit non-algebraic limit cycles. It is well known t...
Main Authors: | Rebiha Benterki, Jaume Llibre |
---|---|
Format: | Article |
Language: | English |
Published: |
Texas State University
2012-05-01
|
Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2012/78/abstr.html |
Similar Items
-
Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems
by: Jaume Llibre, et al.
Published: (2018-03-01) -
Explicit limit cycles of a family of polynomial differential systems
by: Rachid Boukoucha
Published: (2017-09-01) -
Crossing Limit Cycles of Planar Piecewise Linear Hamiltonian Systems without Equilibrium Points
by: Rebiha Benterki, et al.
Published: (2020-05-01) -
Limit cycles bifurcating from the period annulus of a uniform isochronous center in a quartic polynomial differential system
by: Jackson Itikawa, et al.
Published: (2015-09-01) -
The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities
by: Vladimir Cheresiz, et al.
Published: (2021-07-01)