Poincaré bifurcations of two classes of polynomial systems

DOI10.1155/2013/861329zbMath1470.34095OpenAlexW2146853072WikidataQ58917633 ScholiaQ58917633MaRDI QIDQ2319208

Jing Wang, Shuliang Shui

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/861329

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

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• Upper bounds for the number of zeroes for some abelian integrals
• On the number of limit cycles of a perturbed cubic polynomial differential center
• Global bifurcation of limit cycles in a family of polynomial systems
• Limit cycles bifurcating from a perturbed quartic center
• The 16th Hilbert problem on algebraic limit cycles
• The number of limit cycles of a class of polynomial differential systems
• On the Chebyshev property for a new family of functions
• The number of limit cycles for a family of polynomial systems
• Limit cycles of differential equations
• Bifurcation of limit cycles from a polynomial non-global center
• The number of limit cycles of a quintic polynomial system
• On the 16th Hilbert problem for algebraic limit cycles
• Limit cycles of a perturbed cubic polynomial differential center
• Uniqueness of limit cycles in polynomial systems with algebraic invariants
• GLOBAL BIFURCATION OF LIMIT CYCLES IN A FAMILY OF MULTIPARAMETER SYSTEM
• Averaging analysis of a perturbated quadratic center

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