Nonmonotonicity of kneading invariants in the family of kinked maps

• Published in: Нелінійні коливання
• Date: 2005
• ISSN: 1562-3076
• Main Author: Volkova, O.Yu.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177883
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nonmonotonicity of kneading invariants in the family of kinked maps / O.Yu. Volkova // Нелінійні коливання. — 2005. — Т. 8, № 2. — С. 159-164. — Бібліогр.: 14 назв. — англ.

We study monotonicity properties of the kneading invariant for one-parameter families of piecewise linear unimodal maps, and prove a theorem on violation of monotonicity of the kneading invariant for maps that are symmetric, convex, and consist of four linear pieces. The fact that such maps can not...