Generalized horseshoes and indecomposability for one-dimensional continua

DOI10.1007/BF02513091zbMath0934.34050MaRDI QIDQ4231353

S. A. Shchegolev

Publication date: 14 March 1999

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

bounded solutionslowly varying parameterscountable system

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Cites Work

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• Horseshoes, entropy and periods for graph maps
• Chaos of continuum-wise expansive homeomorphisms and dynamical properties of sensitive maps of graphs
• The dynamics of homeomorphisms of hereditarily decomposable chainable continua
• Topological entropy of the induced maps of the inverse limits with bonding maps
• One-dimensional non-wandering sets
• The Dynamics of Continuous Maps of Finite Graphs through Inverse Limits
• Chaos, Periodicity, and Snakelike Continua

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