The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems (Q2656278)

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The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems
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    The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems (English)
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    11 March 2021
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    As usual, the Hamiltonian reversible Lotka-Volterra system, which has a non-generic case of quadratic centers, is called the Hamiltonian triangle. The work shows that the quadratic system has three limit cycles at most near the Hamiltonian triangle, which corrects the authors' previous result. The method is the computation of Melnikov functions and their expansions at the boundary.
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    limit cycle
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    quadratic polynomial system
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    Hamiltonian triangle
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