A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART VII: ISLES OF EDEN

DOI10.1142/S0218127407019068zbMath1146.37012MaRDI QIDQ3498762

Junbiao Guan, Leon O. Chua, Jinwook Shin, Valeriy I. Sbitnev

Publication date: 16 May 2008

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

zbMATH Keywords

cellular automataisle of Eden

Mathematics Subject Classification ID

Specification and verification (program logics, model checking, etc.) (68Q60) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of cellular automata (37B15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Symbolic dynamics (37B10)

Related Items (20)

The topological pressure of linear cellular automata ⋮ Symbolics dynamics of elementary cellular automata rule 88 ⋮ A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART XII: PERIOD-3, PERIOD-6, AND PERMUTIVE RULES ⋮ ISLES OF EDEN AND THE ZUK THEOREM IN ℝ^d ⋮ A DETERMINISTIC APPROACH TO THE SYNCHRONIZATION OF NONLINEAR CELLULAR AUTOMATA ⋮ Topological Conjugacy Classification of Elementary Cellular Automata with Majority Memory ⋮ A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART VIII: MORE ISLES OF EDEN ⋮ Chaos emerged on the ‘edge of chaos’ ⋮ A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE. PART XIII: BERNOULLI σ_τ-SHIFT RULES ⋮ A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART XIV: MORE BERNOULLI σ_τ-SHIFT RULES ⋮ A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART IX: QUASI-ERGODICITY ⋮ THE WOLFRAM MACHINE ⋮ Real Linear Automata with a Continuum of Periodic Solutions for Every Period ⋮ ON THE DYNAMICAL BEHAVIOR OF CELLULAR AUTOMATA ⋮ A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE. PART X: PERIOD-1 RULES ⋮ A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART XI: PERIOD-2 RULES ⋮ BINARY CHAOS SYNCHRONIZATION IN ELEMENTARY CELLULAR AUTOMATA ⋮ 2D ELEMENTARY CELLULAR AUTOMATA WITH FOUR NEIGHBORS ⋮ Chaos of elementary cellular automata rule 42 of Wolfram’s class II ⋮ DESIGNING COMPLEX DYNAMICS IN CELLULAR AUTOMATA WITH MEMORY

Cites Work

• A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science Part II: Universal Neuron
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART VI: FROM TIME-REVERSIBLE ATTRACTORS TO THE ARROW OF TIME
• OPTIMAL CNN TEMPLATES FOR LINEARLY-SEPARABLE ONE-DIMENSIONAL CELLULAR AUTOMATA
• Robust Permanence for Ecological Differential Equations, Minimax, and Discretizations
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART I: THRESHOLD OF COMPLEXITY
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART III: PREDICTING THE UNPREDICTABLE
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART V: FRACTALS EVERYWHERE
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART IV: FROM BERNOULLI SHIFT TO 1/f SPECTRUM
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART VII: ISLES OF EDEN