EXACT HETEROCLINIC CYCLE FAMILY AND QUASI-PERIODIC SOLUTIONS FOR THE THREE-DIMENSIONAL SYSTEMS DETERMINED BY CHAZY CLASS IX

DOI10.1142/S0218127411029227zbMath1248.34003MaRDI QIDQ3165773

Xiaohua Zhao, Ji-Bin Li

Publication date: 19 October 2012

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

zbMATH Keywords

periodic solutionlevel setquasi-periodic solutionChazy class IXheteroclinic orbit family

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

On the existence of bifocal heteroclinic cycles in a class of four-dimensional piecewise affine systems

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• CHUA’S CIRCUIT: RIGOROUS RESULTS AND FUTURE PROBLEMS
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
• Chazy Classes IX–XI Of Third‐Order Differential Equations

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