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ZERO BIFURCATION DIAGRAMS FOR ABELIAN INTEGRALS: A STUDY ON HIGHER-ORDER HYPERELLIPTIC HAMILTONIAN SYSTEMS WITH THREE PERTURBATION PARAMETERS - MaRDI portal

ZERO BIFURCATION DIAGRAMS FOR ABELIAN INTEGRALS: A STUDY ON HIGHER-ORDER HYPERELLIPTIC HAMILTONIAN SYSTEMS WITH THREE PERTURBATION PARAMETERS (Q5165254)

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scientific article; zbMATH DE number 7427173

Language	Label	Description	Also known as
English	ZERO BIFURCATION DIAGRAMS FOR ABELIAN INTEGRALS: A STUDY ON HIGHER-ORDER HYPERELLIPTIC HAMILTONIAN SYSTEMS WITH THREE PERTURBATION PARAMETERS	scientific article; zbMATH DE number 7427173

Statements

scholarly article

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ZERO BIFURCATION DIAGRAMS FOR ABELIAN INTEGRALS: A STUDY ON HIGHER-ORDER HYPERELLIPTIC HAMILTONIAN SYSTEMS WITH THREE PERTURBATION PARAMETERS (English)

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Journal of Applied Analysis & Computation

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publication date

16 November 2021

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zbMATH Keywords

hyperelliptic Hamiltonian system

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bifurcation diagram

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abelian integral

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.11948/20200168

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Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop

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Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop. II

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Bifurcations of limit cycles for a quintic Hamiltonian system with a double cuspidal loop

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Non-existence, existence, and uniqueness of limit cycles for a generalization of the van der Pol-Duffing and the Rayleigh-Duffing oscillators

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Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles

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Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3

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Modern Computer Algebra

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A Chebyshev criterion for Abelian integrals

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ASYMPTOTIC EXPANSIONS OF MELNIKOV FUNCTIONS AND LIMIT CYCLE BIFURCATIONS

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LIMIT CYCLE BIFURCATIONS NEAR A DOUBLE HOMOCLINIC LOOP WITH A NILPOTENT SADDLE

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HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS

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Normal forms, Melnikov functions and bifurcations of limit cycles

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Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system

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Limit cycles near homoclinic and heteroclinic loops

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Elements of applied bifurcation theory.

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A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4

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A criterion for determining the monotonicity of the ratio of two Abelian integrals

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On a conjecture on the integrability of Liénard systems

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Bounding the number of zeros of certain abelian integrals

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Infinite orbit depth and length of Melnikov functions

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Linear estimate for the number of zeros of abelian integrals

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On the Number of Limit Cycles Bifurcating from a Compound Polycycle

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Bifurcation of limit cycles from a heteroclinic loop with a cusp

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Bifurcations on a five-parameter family of planar vector field

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Bifurcation of Limit Cycles for Some Liénard Systems with a Nilpotent Singular Point

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LIMIT CYCLE BIFURCATIONS OF A KIND OF LI&#201;NARD SYSTEM WITH A HYPOBOLIC SADDLE AND A NILPOTENT CUSP

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Identifiers

zbMATH Open document ID

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10.11948/20200168

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5165254

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