ON THE NUMBER OF ZEROS OF THE ABELIAN INTEGRALS FOR A CLASS OF PERTURBED LIÉNARD SYSTEMS

DOI10.1142/S0218127407019032zbMath1158.34320OpenAlexW2018465839MaRDI QIDQ3498792

Moses O. Tadé, Yu-Chu Tian, Tonghua Zhang

Publication date: 16 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407019032

Mathematics Subject Classification ID

Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (1)

The monotonicity of the ratio of two Abelian integrals

Cites Work

• Hilbert's 16th problem for quadratic vector fields
• Cyclicity of planar homoclinic loops and quadratic integrable systems
• Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations
• Bifurcations of limit cycles in a cubic system
• Linear estimate of the number of limit cycles for a class of nonlinear systems
• Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians
• Nonoscillation of Elliptic Integrals Related to Cubic Polynomials with Symmetry of Order Three
• Centennial History of Hilbert's 16th Problem
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• THE ABELIAN INTEGRALS OF A ONE-PARAMETER HAMILTONIAN SYSTEM UNDER CUBIC PERTURBATIONS
• On Second Order Bifurcations of Limit Cycles
• ON THE NUMBER AND DISTRIBUTION OF LIMIT CYCLES IN A CUBIC SYSTEM

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