Limit cycles in a quadratic discrete iteration

DOI10.1016/0167-2789(92)90086-3zbMath0770.58031OpenAlexW2093904348MaRDI QIDQ1197485

P. M. Binder

Publication date: 16 January 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90086-3

zbMATH Keywords

iterationlimit cyclesdiscrete

Mathematics Subject Classification ID

Topological dynamics (37B99) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (8)

Collapsing effects in numerical simulation of a class of chaotic dynamical systems and random mappings with a single attracting centre ⋮ Dynamical properties of spatial discretizations of a generic homeomorphism ⋮ Statistical properties of discretizations of a class of chaotic dynamical systems ⋮ A model for roundoff and collapse in computation of chaotic dynamical systems ⋮ Cramér distance and discretizations of circle expanding maps II: simulations ⋮ Collapsing of chaos in one dimensional maps ⋮ ON THE DYNAMICAL DEGRADATION OF DIGITAL PIECEWISE LINEAR CHAOTIC MAPS ⋮ Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures.

Cites Work

• Machine iteration of a linear function: Local behaviour
• The simulation of random processes on digital computers: Unavoidable order
• Effects of phase space discretization on the long-time behavior of dynamical systems
• Linear cellular automata and recurring sequences in finite fields
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