ON THE STRUCTURE OF REAL-VALUED ONE-DIMENSIONAL CELLULAR AUTOMATA

DOI10.1142/S0218127411029240zbMath1248.37018MaRDI QIDQ3165766

Xu Xu, M. Mahfouf, Stephan Paul Banks

Publication date: 19 October 2012

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

zbMATH Keywords

cellular automataperiodic pointshypercyclicityreal-valued states

Mathematics Subject Classification ID

Dynamical aspects of cellular automata (37B15) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (5)

Structure and Reversibility of 2D von Neumann Cellular Automata Over Triangular Lattice ⋮ 2D Triangular von Neumann Cellular Automata with Periodic Boundary ⋮ Real Linear Automata with a Continuum of Periodic Solutions for Every Period ⋮ The Transition Rules of 2D Linear Cellular Automata Over Ternary Field and Self-Replicating Patterns ⋮ REVERSIBILITY ALGORITHMS FOR 3-STATE HEXAGONAL CELLULAR AUTOMATA WITH PERIODIC BOUNDARIES

Cites Work

• ON THE DYNAMICAL BEHAVIOR OF CELLULAR AUTOMATA
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART I: THRESHOLD OF COMPLEXITY

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