ABELIAN INTEGRALS FOR A KIND OF NON-HAMILTONIAN INTEGRABLE SYSTEMS UNDER CUBIC POLYNOMIAL PERTURBATIONS
DOI10.1142/S0218127411028799zbMath1215.34038MaRDI QIDQ3010317
Publication date: 30 June 2011
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Abelian integralPicard-Fuchs equationnon-Hamiltonian integrable systemcubic polynomial perturbations
Explicit solutions, first integrals of ordinary differential equations (34A05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)
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