Semi-unimodal 2-endomorphisms with complicated nonwandering set

DOI10.1016/S0362-546X(96)00090-9zbMath0920.54038OpenAlexW2080829878MaRDI QIDQ4354581

V. A. Dobrynskij

Publication date: 15 September 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00090-9

zbMATH Keywords

Cantor sethomoclinic trajectorycritical setchaos in the sense of Li and Yorketopologically transitive set

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Functions of several variables (26B99)

Cites Work

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• Hyperbolic sets, transversal homoclinic trajectories, and symbolic dynamics for \(C^ 1\)-maps in Banach spaces
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Complex dynamics in two-dimensional endomorphisms
• Period Three Implies Chaos
• BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
• SINGULAR POINTS WITH TWO MULTIPLIERS, S₁=−S₂=1, IN THE BIFURCATION CURVES OF MAPS

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