One-parameter families of mappings of the interval with negative Schwarzian derivative, in which monotonicity of bifurcations breaks down

DOI10.1007/BF01060393zbMath0697.58028MaRDI QIDQ911121

Sergiǐ F. Kolyada

Publication date: 1989

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

zbMATH Keywords

periodic pointsone-dimensional dynamical systemsbifurcation of periodic points

Mathematics Subject Classification ID

Topological dynamics (37B99) Iteration of real functions in one variable (26A18) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Destabilization and chaos induced by harvesting: insights from one-dimensional discrete-time models ⋮ The life and mathematics of Sergiĭ Kolyada ⋮ Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps ⋮ Monotonicity of entropy for real multimodal maps

Cites Work

• Shift-maximal sequences in function iteration: Existence, uniqueness and multiplicity
• Sharkovskii's order for the appearance of superstable cycles in one-parameter families of simple real maps: An elementary proof
• Unnamed Item

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