Results 191 to 200 of about 96,743 (212)

Coexistence of algebraic and non-algebraic limit cycles, explicitly given, using Riccati equations

Nonlinearity, 2006
We give a family of planar polynomial differential systems whose limit cycles can be explicitly described using polar coordinates. Moreover, we characterize the multiplicity of each one of the limit cycles whenever they exist. The given family of planar polynomial differential systems can have at most two limit cycles, counted with multiplicity.As an ...
Jaume Giné, Maite Grau
openaire   +1 more source

NON-ALGEBRAIC LIMIT CYCLES FOR PARAMETRIZED PLANAR POLYNOMIAL SYSTEMS

International Journal of Mathematics, 2007
In this paper, we determine conditions for planar systems of the form [Formula: see text] where a, b and c are real constants, to possess non-algebraic limit cycles. This is done as an application of a former theorem gives description of the existence of the non-algebraic limit cycles of the family of systems: [Formula: see text] where Pn(x,y), Qn(x,y)
openaire   +2 more sources

Limit cycles bifurcated from some reversible quadratic centres with a non-algebraic first integral

Nonlinearity, 2012
We study the cyclicity of period annuli of some reversible non-Hamiltonian quadratic systems under quadratic perturbations. In general, the first integral, which we study, is non-algebraic. Via estimating the number of zeros of the associated Abelian integral (first order Melnikov function), we show that the cyclicity is 2.
openaire   +1 more source

Cubic planar differential systems with non-algebraic limit cycles enclosing a focus

International Journal of Dynamical Systems and Differential Equations, 2023
Meryem Belattar, Rachid Cheurfa, Ahmed Bendjeddou   +2 more
openaire   +1 more source

EXPLICIT NON-ALGEBRAIC LIMIT CYCLES OF A CLASS OF POLYNOMIAL SYSTEMS

Far East Journal of Applied Mathematics, 2015
Ahmed Bendjeddou, Rachid Boukoucha
openaire   +1 more source

On the cubic Kukles systems with an algebraic limit cycle of degree two

Journal of Mathematical Analysis and Applications, 2023
Yulin Zhao
exaly  

Non-canonical functions of cell cycle cyclins and cyclin-dependent kinases

Nature Reviews Molecular Cell Biology, 2016
Per Hydbring, Marcos Malumbres, Piotr Sicinski   +2 more
exaly  

Number of Limit Cycles for Planar Systems with Invariant Algebraic Curves

Qualitative Theory of Dynamical Systems, 2023
exaly  

Algebraic limit cycles of degree 4 for quadratic systems

Journal of Differential Equations, 2004
Jaume Llibre
exaly  

Classification of quadratic systems admitting the existence of an algebraic limit cycle

Bulletin Des Sciences Mathematiques, 2007
Jaume Llibre, Grzegorz Swirszcz
exaly