Results 151 to 160 of about 18,721 (178)

Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class

Communications in Contemporary Mathematics, 2020
This work concerns with polynomial families of real planar vector fields having a monodromic nilpotent singularity. The families considered are those for which the centers are characterized by the existence of a formal inverse integrating factor vanishing at the singularity with a leading term of minimum [Formula: see text]-quasihomogeneous weighted ...
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LIMIT CYCLE BIFURCATIONS IN NEAR-HAMILTONIAN SYSTEMS BY PERTURBING A NILPOTENT CENTER

International Journal of Bifurcation and Chaos, 2008
As we know, Hopf bifurcation is an important part of bifurcation theory of dynamical systems. Almost all known works are concerned with the bifurcation and number of limit cycles near a nondegenerate focus or center. In the present paper, we study a general near-Hamiltonian system on the plane whose unperturbed system has a nilpotent center.
Han, Maoan, Jiang, Jiao, Zhu, Huaiping
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Analytic integrability and characterization of centers for generalized nilpotent singular points

Applied Mathematics and Computation, 2004
The author studies the existence of local analytic first integrals for a generalized nilpotent singular point. He develops a method which provides necessary conditions for obtaining a local analytic integral in a neighborhood of a generalized nilpotent singular point.
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Nilpotent Centers of a Cubic System Reducible to a Nonlinear Vibration System

Differential Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Detchenya, L. V., Sadovskii, A. P.
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Index of the center of an irreducible nilpotent linear group

Ukrainian Mathematical Journal, 1992
Summary: Sharp estimates of the index of the center of an irreducible nilpotent linear group over an arbitrary field are obtained.
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Analytic integrability and characterization of centers for nilpotent singular points

Zeitschrift f�r angewandte Mathematik und Physik, 2004
The author studies the existence of local analytic first integrals for nilpotent singular points, i.e., for the singular point at the origin of the following system \[ \dot{x}=y+X(x,y),\quad \dot{y}=Y(x,y), \] where \(X(x,y)\) and \(Y(x,y)\) are analytic functions without linear and constant terms in a certain neighborhood of the origin.
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Limit cycles near a nilpotent center and a homoclinic loop to a nilpotent singularity of Hamiltonian systems

Canadian Journal of Mathematics
Abstract For a planar analytic Hamiltonian system, which has a period annulus limited by a nilpotent center and a homoclinic loop to a nilpotent singularity, we study its analytic perturbation to obtain the number of limit cycles bifurcated from the periodic orbits inside the period annulus.
Lijun Wei, Maoan Han, Jilong He, Xiang Zhang   +3 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
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On nilpotent Lie algebras of derivations with large center

2019
Let K be a field of characteristic zero and A an associative commutative K-algebra that is an integral domain. Denote by R the quotient field of A and by W(A)=RDerA the Lie algebra of derivations on R that are products of elements of R and derivations on A. Nilpotent Lie subalgebras of the Lie algebra W(A) of rank n over R with the center of rank n???1
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Obesity and adverse breast cancer risk and outcome: Mechanistic insights and strategies for intervention

Ca-A Cancer Journal for Clinicians, 2017
Cynthia Morata-Tarifa, Joyce M Slingerland   +1 more
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