Results 1 to 10 of about 4,468 (165)

The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles

Advanced Nonlinear Studies, 2018
In this paper we characterize all cubic polynomial differential systems in the plane having two circles as invariant algebraic limit cycles.
Giné Jaume, Llibre Jaume, Valls Claudia
doaj   +2 more sources

Coexistence of Algebraic Limit Cycles and Small Limit Cycles of Two Classes of Near-Hamiltonian Systems with a Nilpotent Singular Point

Axioms
In this paper, two classes of near-Hamiltonian systems with a nilpotent center are considered: the coexistence of algebraic limit cycles and small limit cycles.
Huimei Liu, Meilan Cai, Feng Li
doaj   +3 more sources

Planar chemical reaction systems with algebraic and non-algebraic limit cycles [PDF]

Journal of Mathematical Biology
Radek Erban, Gheorghe Craciun
exaly   +2 more sources

The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We consider planar polynomial systems of ordinary differential equations of the form $\dot x = x + P_n(x,y)$, $\dot y = y + Q_n(x,y)$, where $P_n(x,y),\ Q_n(x,y)$ are homogeneous polynomials of degree $n$.
Vladimir Cheresiz, Evgenii Volokitin
doaj   +1 more source

A Hopf algebra for counting cycles [PDF]

Discrete Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pierre-Louis Giscard, Paul Rochet, Richard C. Wilson 0001   +2 more
openaire   +3 more sources

Rational Limit Cycles on Abel Polynomial Equations

Mathematics, 2020
In this paper we deal with Abel equations of the form d y / d x = A 1 ( x ) y + A 2 ( x ) y 2 + A 3 ( x ) y 3 , where A 1 ( x ) , A 2 ( x ) and A 3 ( x ) are real polynomials and A 3 ≢ 0 .
Claudia Valls
doaj   +1 more source

Real rectifiable currents, holomorphic chains and algebraic cycles

Complex Manifolds, 2021
We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains.
Teh Jyh-Haur, Yang Chin-Jui
doaj   +1 more source

Algebraic theory of quantum synchronization and limit cycles under dissipation

SciPost Physics, 2022
Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been found. We develop
Berislav Buca, Cameron Booker, Dieter Jaksch
doaj   +1 more source

Polynomial differential systems with hyperbolic algebraic limit cycles

Electronic Journal of Qualitative Theory of Differential Equations, 2020
For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or equal $n$, by introducing functions which are solutions of certain partial differential equations.
Salah Benyoucef
doaj   +1 more source

Cycles on Algebraic Varieties [PDF]

Nagoya Mathematical Journal, 1955
In the present note, applying the theory of harmonic integrals, we shall show some results on cycles on algebraic varieties and give a new birational invariant.
openaire   +2 more sources