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On logical gates in precipitating medium: Cellular automaton model (2008)
Journal Article
Martínez, G. J., Adamatzky, A., & de Lacy Costello, B. (2008). On logical gates in precipitating medium: Cellular automaton model. Physics Letters A, 372(31), 5115-5119. https://doi.org/10.1016/j.physleta.2008.05.087

We study a two-dimensional semi-totalistic binary cell-state cellular automaton, which imitates a reversible precipitation in an abstract chemical medium. The systems exhibits a non-trivial growth and nucleation. We demonstrate how basic computationa... Read More about On logical gates in precipitating medium: Cellular automaton model.

Computation by competing patterns: life rule B2/S2345678 (2008)
Presentation / Conference
Martinez, G. J., Adamatzky, A., McIntosh, H. V., & de Lacy Costello, B. (2008, June). Computation by competing patterns: life rule B2/S2345678. Paper presented at Automata 2008, Bristol, UK

Computation by competing patterns: life rule B2/S2345678 (2008)
Book Chapter
Martinez, G. J., Adamatzky, A., McIntosh, H. V., & de Lacy Costello, B. (2008). Computation by competing patterns: life rule B2/S2345678. In A. Adamatzky, R. Alonso-Sanz, A. Lawniczak, G. J. Martinez, K. Morita, & T. Worsch (Eds.), Automata 2008: Theory and Applications of Cellular Automata (356-367). Frome: Luniver Press

Patterns, originating from different sources of perturbations, propagating in a precipitating chemical medium do usually compete for the space. They sub-divide the medium onto the regions unique for an initial configuration of disturbances. This sub-... Read More about Computation by competing patterns: life rule B2/S2345678.

Universal computation with limited resources: Belousov-Zhabotinsky and physarum computers (2008)
Journal Article
Adamatzky, A., De Lacy Costello, B., & Shirakawa, T. (2008). Universal computation with limited resources: Belousov-Zhabotinsky and physarum computers. International Journal of Bifurcation and Chaos, 18(08), 2373-2389. https://doi.org/10.1142/S0218127408021750

Using the examples of an excitable chemical system (the Belousov-Zhabotinsky medium) and plasmodium of Physarum polycephalum we show that universal computation in a geometrically unconstrained medium is only possible when resources (excitability or c... Read More about Universal computation with limited resources: Belousov-Zhabotinsky and physarum computers.

Unconventional computing 2007 (2007)
Book
Adamatzky, A., de Lacy Costello, B., Bull, L., Stepney, S., & Teuscher, C. (2007). Unconventional computing 2007. Frome: Luniver Press

Experimental implementation of collision-based gates in Belousov-Zhabotinsky medium (2005)
Journal Article
de Lacy Costello, B., & Adamatzky, A. (2005). Experimental implementation of collision-based gates in Belousov-Zhabotinsky medium. Chaos, Solitons and Fractals, 25(3), 535-544. https://doi.org/10.1016/j.chaos.2004.11.056

We experimentally demonstrate that excitation wave-fragments in a Belousov-Zhabotinsky (BZ) medium with immobilised catalyst can be used to build elementary logical gates and circuits. Following our previous theoretical constructions [Adamatzky A. Co... Read More about Experimental implementation of collision-based gates in Belousov-Zhabotinsky medium.

Reaction-diffusion computers (2005)
Book
Adamatzky, A., de Lacy Costello, B., & Asai, T. (2005). Reaction-diffusion computers. Elsevier

The interdisciplinary research monograph, which has been peer-reviewed by several international experts assigned by Elsevier, introduces ground breaking original results in formal paradigms, architectures and laboratory implementations of computers b... Read More about Reaction-diffusion computers.

Experimental implementation of mobile robot taxis with onboard Belousov-Zhabotinsky chemical medium (2004)
Journal Article
Ratcliffe, N., Adamatzky, A., Costello, B. D. L., & Melhuish, C. (2004). Experimental implementation of mobile robot taxis with onboard Belousov-Zhabotinsky chemical medium. Materials Science and Engineering: C, 24(4), 541-548. https://doi.org/10.1016/j.msec.2004.02.002

We discuss the first-ever experimental realization of the onboard excitable chemical controller for stimulus-guided navigation of mobile robots. We demonstrate that the Belousov-Zhabotinsky (BZ) reaction in the form of an onboard thin layer chemical... Read More about Experimental implementation of mobile robot taxis with onboard Belousov-Zhabotinsky chemical medium.

Reaction-diffusion navigation robot control: From chemical to VLSI analogic processors (2004)
Journal Article
Rodríguez-Vázquez, A., De Lacy Costello, B., Carmona-Galán, R., Arena, P., Adamatzky, A., Basile, A., …Frasca, M. (2004). Reaction-diffusion navigation robot control: From chemical to VLSI analogic processors. IEEE Transactions on Circuits and Systems I: Regular Papers, 51(5), 926-938. https://doi.org/10.1109/TCSI.2004.827654

We introduce a new methodology and experimental implementations for real-time wave-based robot navigation in a complex, dynamically changing environment. The main idea behind the approach is to consider the robot arena as an excitable medium, in whic... Read More about Reaction-diffusion navigation robot control: From chemical to VLSI analogic processors.

The formation of voronoi diagrams in chemical and physical systems: Experimental findings and theoretical models (2004)
Journal Article
Purwins, H. G., de Lacy Costello, B., Ratcliffe, N. M., Adamatzky, A., Zanin, A. L., & Liehr, A. W. (2004). The formation of voronoi diagrams in chemical and physical systems: Experimental findings and theoretical models. International Journal of Bifurcation and Chaos, 14(7), 2187-2210. https://doi.org/10.1142/S021812740401059X

The work discusses the formation of Voronoi diagrams in spatially extended nonlinear systems taking experimental and theoretical results into account. Concerning experimental systems a number of chemical systems used previously as prototype chemical... Read More about The formation of voronoi diagrams in chemical and physical systems: Experimental findings and theoretical models.

Experimental reaction-diffusion chemical processors for robot path planning (2003)
Journal Article
Adamatzky, A., de Lacy Costello, B., Ratcliffe, N. M., & Melhuish, C. (2003). Experimental reaction-diffusion chemical processors for robot path planning. Journal of Intelligent and Robotic Systems, 37(3), 233-249. https://doi.org/10.1023/A%3A1025414424756

In this paper we discuss the experimental implementation of a chemical reaction-diffusion processor for robot motion planning in terms of finding the shortest collision-free path for a robot moving in an arena with obstacles. These reaction-diffusion... Read More about Experimental reaction-diffusion chemical processors for robot path planning.

Experimental logical gates in a reaction-diffusion medium: The XOR gate and beyond (2002)
Journal Article
Adamatzky, A., & de Lacy Costello, B. (2002). Experimental logical gates in a reaction-diffusion medium: The XOR gate and beyond. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 66(4), 6. https://doi.org/10.1103/PhysRevE.66.046112

We exploit the particulars of diffusive wave front interactions in certain types of two-reactant reaction-diffusion medium to construct a laboratory prototype of an XOR gate. In the design, the values of the logic variables are represented by the pre... Read More about Experimental logical gates in a reaction-diffusion medium: The XOR gate and beyond.

Collision-free path planning in the Belousov-Zhabotinsky medium assisted by a cellular automaton (2002)
Journal Article
Adamatzky, A., & de Lacy Costello, B. (2002). Collision-free path planning in the Belousov-Zhabotinsky medium assisted by a cellular automaton. Naturwissenschaften, 89(10), 474-478. https://doi.org/10.1007/s00114-002-0363-6

We offer a new approach to computing a shortest collision-free path in a space containing obstacles, using an experimental chemical processor, based on the Belousov-Zhabotinsky (BZ) reaction. The chemical processor was then coupled via optical links... Read More about Collision-free path planning in the Belousov-Zhabotinsky medium assisted by a cellular automaton.

Experimental reaction-diffusion pre-processor for shape recognition (2002)
Journal Article
Adamatzky, A., de Lacy Costello, B., & Ratcliffe, N. M. (2002). Experimental reaction-diffusion pre-processor for shape recognition. Physics Letters A, 297(5-6), 344-352. https://doi.org/10.1016/S0375-9601%2802%2900289-X

We have produced an experimental implementation of a massively-parallel reaction-diffusion processor which performs one of the most essential parts of shape recognition - construction of a skeleton. A skeleton is a unique, stable and invariant repres... Read More about Experimental reaction-diffusion pre-processor for shape recognition.

Spontaneous bursting spike patterns seen in simple three memristor circuits
Journal Article
Gale, E., de Lacy Costello, B., & Adamatzky, A. Spontaneous bursting spike patterns seen in simple three memristor circuits

The distinctive switching spikes seen in single memristors are suppressed in networks of memristors. Instead oscillatory behaviour interrrupted by spontaneous irregular bursting spike patterns are seen. An investigation of two and three memrisor circ... Read More about Spontaneous bursting spike patterns seen in simple three memristor circuits.