Bifurcation Diagram of a Map with Multiple Critical Points

DOI10.1142/S0218127418500657zbMath1390.37087OpenAlexW2805247396WikidataQ129755859 ScholiaQ129755859MaRDI QIDQ4566443

Miguel Romera, A. B. Orue, Fausto Montoya, L. Hernández Encinas, A. Martin, Gerardo Pastor, Emanuel Ţundrea, Marius-F. Danca

Publication date: 15 June 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418500657

zbMATH Keywords

critical pointbifurcation diagramnonlinear discrete dynamical systemquartic maphidden bifurcation diagrams

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Dynamics of a novel chaotic map ⋮ A Simple Guide for Plotting a Proper Bifurcation Diagram

Cites Work

• Counting the number of periods in one-dimensional maps with multiple critical points
• Graphical exploration of the connectivity sets of alternated Julia sets
• Hidden and Nonstandard Bifurcation Diagram of an Alternate Quadratic System
• ALTERNATED JULIA SETS AND CONNECTIVITY PROPERTIES
• Breaking Points in Quartic Maps
• Simple mathematical models with very complicated dynamics
• Number of periodic orbits in continuous maps of the interval -- complete solution of the counting problem

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