Cantor limit set of a topological transformation group on \(S^{1}\)

DOI10.1155/2011/342759zbMath1235.22006OpenAlexW2063269053WikidataQ58687756 ScholiaQ58687756MaRDI QIDQ763020

Zuming Chen, Ke-Ying Guan

Publication date: 8 March 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/342759

zbMATH Keywords

topological transformation groupCantor limit set

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Ordinary differential equations in the complex domain (34M99)

Cites Work

• Persistent properties of bifurcations
• An attempt to differential Galois theory of second order polynomial system and solvable subgroup of Möbius transformations
• Integrability of doubly-periodic Riccati equation
• Structure of solvable subgroups of \(SL(2,\mathbb{C})\) and integrability of Fuchsian equations on the torus \(T^ 2\)
• The fractal structure of the limit set of the solution space of a doubly periodic Riccati equation
• Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
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