Kato's chaos created by quadratic mappings associated with spherical orthotomic curves

DOI10.5427/jsing.2020.21lzbMath1441.37042arXiv1806.03609OpenAlexW3010605612MaRDI QIDQ5109580

Takashi Nishimura

Publication date: 12 May 2020

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03609

zbMATH Keywords

Kato's chaosgeneric spherical curve

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Iteration of real functions in one variable (26A18) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Hyperplane families creating envelopes

Cites Work

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• Kato's chaos in duopoly games
• Everywhere chaotic homeomorphisms on manifolds and \(k\)-dimensional Menger manifolds
• Normal forms for singularities of pedal curves produced by non-singular dual curve germs in \(S^{n}\)
• SINGULARITIES OF PEDAL CURVES PRODUCED BY SINGULAR DUAL CURVE GERMS IN Sn

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