Hopf bifurcation at a degenerate singular point In 3-dimensional vector field (Q6599034)

scientific article; zbMATH DE number 7907314

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English	Hopf bifurcation at a degenerate singular point In 3-dimensional vector field	scientific article; zbMATH DE number 7907314

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scholarly article

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title

Hopf bifurcation at a degenerate singular point In 3-dimensional vector field (English)

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Journal of Applied Analysis and Computation

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publication date

5 September 2024

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zbMATH Keywords

3-dimensional vector field

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degenerate singular point

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limit cycle bifurcation

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focal values

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MaRDI profile type

Publication

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cites work

On the number of limit cycles near a homoclinic loop with a nilpotent singular point

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Centers in a Quadratic System Obtained from a Scalar Third Order Differential Equation

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Multiple Hopf bifurcation in $\mathbb R^3$ and inverse Jacobi multipliers

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Center conditions and bifurcation of limit cycles at degenerate singular points in a quintic polynomial differential system

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Abelian integrals and limit cycles for a class of cubic polynomial vector fields of Lotka-Volterra type with a rational first integral of degree two

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Center problem and the bifurcation of limit cycles for a cubic polynomial system

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Limit Cycles Bifurcations for a Class of Kolmogorov Model in Symmetrical Vector Field

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Behavior of limit cycle bifurcations for a class of quartic Kolmogorov models in a symmetrical vector field

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Limit Cycles in a Class of Quartic Kolmogorov Model with Three Positive Equilibrium Points

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Three-Dimensional Hopf Bifurcation for a Class of Cubic Kolmogorov Model

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Limit cycles bifurcations for a class of 3-dimensional quadratic systems

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Limit cycles for 3-monomial differential equations

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Bifurcation of Limit Cycles from a Quasi-Homogeneous Degenerate Center

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Integrability of 3-dim polynomial systems with three invariant planes

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Local integrability of a family of three-dimensional quadratic systems

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Hopf bifurcation of limit cycles by perturbing piecewise integrable systems

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FURTHER STUDIES ON LIMIT CYCLE BIFURCATIONS FOR PIECEWISE SMOOTH NEAR-HAMILTONIAN SYSTEMS WITH MULTIPLE PARAMETERS<inline-formula><tex-math id="M1">$ ^* $</tex-math></inline-formula>

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Bifurcation of periodic orbits of a three-dimensional system

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$Z_{2}$-equivariant cubic system which yields 13 limit cycles

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Limit cycles bifurcating from a degenerate center

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Bi-center problem and bifurcation of limit cycles from nilpotent singular points in $Z_{2}$-equivariant cubic vector fields

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Complex isochronous centers and linearization transformations for cubic $Z_2$-equivariant planar systems

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Integrability and linearizability of cubic $Z_2$ systems with non-resonant singular points

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A note on the paper ``Center and isochronous center conditions for switching systems associated with elementary singular points''

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Investigation of center manifolds of three-dimensional systems using computer algebra

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The Center and Cyclicity Problems

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BIFURCATION OF LIMIT CYCLES FROM A COMPOUND LOOP WITH FIVE SADDLES

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Bifurcation of limit cycles and pseudo-isochronous center at degenerate singular point in a septic system

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Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation

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Twelve limit cycles around a singular point in a planar cubic-degree polynomial system

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Identifiers

DOI

10.11948/20210090

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6599034