Perturbations of a class of hyper-elliptic Hamiltonian systems of degree seven with nilpotent singular points (Q1733631)

scientific article; zbMATH DE number 7040297

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English	Perturbations of a class of hyper-elliptic Hamiltonian systems of degree seven with nilpotent singular points	scientific article; zbMATH DE number 7040297

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instance of

scholarly article

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title

Perturbations of a class of hyper-elliptic Hamiltonian systems of degree seven with nilpotent singular points (English)

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published in

Applied Mathematics and Computation

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publication date

21 March 2019

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zbMATH Keywords

limit cycle

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abelian integral

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nilpotent singular point

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hyper-elliptic Hamiltonian system

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heteroclinic loop

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full work available at URL

https://doi.org/10.1016/j.amc.2016.04.018

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cites work

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Hopf bifurcation for two types of Liénard systems

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Small-amplitude limit cycles of polynomial Liénard systems

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Alien limit cycles in Liénard equations

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Abelian integrals and limit cycles

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

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On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle

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On the number of zeros of abelian integral for some Liénard system of type \((4,3)\)

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

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Bifurcation of limit cycles from a hyper-elliptic Hamiltonian system with a double heteroclinic loops

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Bifurcation of Limit Cycles in Small Perturbation of a Class of Liénard Systems

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Bifurcation of limit cycles for a class of quintic Hamiltonian systems with double heteroclinic loops

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The perturbations of a class of hyper-elliptic Hamilton systems with a double homoclinic loop through a nilpotent saddle

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Bifurcation of limit cycles from a Liénard system with a heteroclinic loop connecting two nilpotent saddles

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Bounding the number of zeros of certain abelian integrals

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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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Bifurcation of limit cycles from a heteroclinic loop with a cusp

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Identifiers

zbMATH Open document ID

1410.34099

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Mathematics Subject Classification ID

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10.1016/J.AMC.2016.04.018

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Sitelinks

Mathematics(1 entry)

mardi Publication:1733631