PERIOD-DOUBLING SCENARIO WITHOUT FLIP BIFURCATIONS IN A ONE-DIMENSIONAL MAP

DOI10.1142/S0218127405012752zbMath1082.37034OpenAlexW1969443613WikidataQ57627450 ScholiaQ57627450MaRDI QIDQ5702216

Michael Schanz, Viktor Avrutin

Publication date: 1 November 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127405012752

zbMATH Keywords

border collisionperiod-doublingpiecewise smooth vector fieldkneading orbits

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) 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)

Related Items (10)

Computation of the anharmonic orbits in two piecewise monotonic maps with a single discontinuity ⋮ INVESTIGATION OF DYNAMICAL SYSTEMS USING SYMBOLIC IMAGES: EFFICIENT IMPLEMENTATION AND APPLICATIONS ⋮ Period-adding and the Farey tree structure in a class of one-dimensional discontinuous nonlinear maps ⋮ The hidden unstable orbits of maps with gaps ⋮ The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications ⋮ Dynamics of a piecewise linear map with a gap ⋮ On detection of multi-band chaotic attractors ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ BORDER COLLISION BIFURCATIONS IN 1D PWL MAP WITH ONE DISCONTINUITY AND NEGATIVE JUMP: USE OF THE FIRST RETURN MAP ⋮ Bifurcations of hidden orbits in discontinuous maps

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