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2011 A Quartic System with Twenty-Six Limit Cycles
Tomas Johnson
Experiment. Math. 20(3): 323-328 (2011).

Abstract

We construct a planar quartic system and demonstrate that it has at least 26 limit cycles. The vector field is symmetric and integrable, but non-Hamiltonian. The proof is based on a verified computation of zeros of pseudo-Abelian integrals, together with the symmetry properties.

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Tomas Johnson. "A Quartic System with Twenty-Six Limit Cycles." Experiment. Math. 20 (3) 323 - 328, 2011.

Information

Published: 2011
First available in Project Euclid: 6 October 2011

zbMATH: 1267.34059
MathSciNet: MR2836256

Subjects:
Primary: 34C07
Secondary: 37G15 , 37G40 , 37M20 , 65G20

Keywords: bifurcation theory , interval analysis , limit cycles , planar integrable systems , Pseudo-Abelian integrals

Rights: Copyright © 2011 A K Peters, Ltd.

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Vol.20 • No. 3 • 2011
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