An approach to the ordering of one-dimensional quadratic maps.

DOI10.1016/0960-0779(95)00071-2zbMath1080.37562OpenAlexW2067351607MaRDI QIDQ815537

Fausto Montoya, Gerardo Pastor, Miguel Romera

Publication date: 17 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(95)00071-2

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items (13)

Dynamics of the generalized M set on escape-line diagram ⋮ Equivalence between subshrubs and chaotic bands in the Mandelbrot set ⋮ Accurate computation of periodic regions' centers in the general \(M\)-set with integer index number ⋮ A method to solve the limitations in drawing external rays of the Mandelbrot set ⋮ A revision of the Lyapunov exponent in \(1\)D quadratic maps ⋮ On the cusp and the tip of a midget in the Mandelbrot set antenna ⋮ How to work with one-dimensional quadratic maps ⋮ Operating with external arguments of Douady and Hubbard ⋮ Shrubs in the Mandelbrot Set Ordering ⋮ Super-attracting cycles for the cosine-root family ⋮ Operating with external arguments in the Mandelbrot set antenna ⋮ Misiurewicz point patterns generation in one-dimensional quadratic maps ⋮ An approach to the ordering of one-dimensional quadratic maps.

Cites Work

• An approach to the ordering of one-dimensional quadratic maps.
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• Counting the number of periods in one-dimensional maps with multiple critical points
• Quantitative universality for a class of nonlinear transformations
• On the nature of turbulence
• On finite limit sets for transformations on the unit interval
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