Localizations in cellular automata with mutualistic excitation rules

DOI10.1016/j.chaos.2007.08.085zbMath1197.37011OpenAlexW2080880501WikidataQ111265716 ScholiaQ111265716MaRDI QIDQ600538

Andrew Adamatzky

Publication date: 31 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.08.085

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical aspects of cellular automata (37B15) Topological entropy (37B40) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• Glider-based computing in reaction-diffusion hexagonal cellular automata
• Chaos, solitons and fractals in hidden symmetry models
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Collision-based computing in Belousov--Zhabotinsky medium
• Phenomenology of excitation in 2-D cellular automata and swarm systems
• Binary collisions between wave-fragments in a sub-excitable Belousov-Zhabotinsky medium
• Experimental implementation of collision-based gates in Belousov-Zhabotinsky medium
• Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
• Spatial Patterns for Discrete Models of Diffusion in Excitable Media
• Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues
• ON SPIRAL GLIDER-GUNS IN HEXAGONAL CELLULAR AUTOMATA: ACTIVATOR-INHIBITOR PARADIGM
• Interaction of dissipative solitons: Particle-like behaviour of localized structures in a three-component reaction-diffusion system
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item