Dynamics of a rational map: unbounded cycles, unbounded chaotic intervals and organizing centres

DOI10.1080/10236198.2023.2253329MaRDI QIDQ6633386

Wirot Tikjha, Iryna Sushko, Laura Gardini

Publication date: 5 November 2024

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving maps of the interval (37E05) Dynamical aspects of attractors and their bifurcations (37G35)

Cites Work

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• Robust unbounded chaotic attractors in 1D discontinuous maps
• Cascades of alternating smooth bifurcations and border collision bifurcations with singularity in a family of discontinuous linear-power maps
• Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps
• Border collision and fold bifurcations in a family of one-dimensional discontinuous piecewise smooth maps: unbounded chaotic sets
• Breaking the continuity of a piecewise linear map
• Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps
• UNBOUNDED SETS OF ATTRACTION

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