Team:LCG-UNAM-Mexico:CA
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+ | ====Cellular Automaton==== | ||
+ | A cellular automaton is discrete dynamical system: a grid in a n-dimensional space in which each cell has one of a finite number of states, say on and off. The state for a given cell at time t is a function of it’s own state and the states of its neighbours at time t-1.<br> As time advances in discrete steps, the system evolves according to universal laws. Every time the clock ticks, the cells update their states simultaneously. <br> Cellular Automaton can simulate continuous physical systems described by Partial Differential Equations (PDE) . | ||
+ | <br><br> | ||
+ | The evolution in time depends on the rules that you define, in fact you can define any rule you want and you will get amazing and funny patterns.<br><br> | ||
+ | It has been proved that a CA can be a Universal Turing Machine, in fact different CA are used to make a wide variety of computations. You can simulate a lot of different complex systems using a CA and you can also see emergence of complex behaviour by defining simple rules in a CA REFERENCE GAME OF LIFE.<br><br> | ||
+ | If we think of the cells in the grid as if they were biological cells we can simulate a population of bacteria, tissue growth, swarming etc. |
Revision as of 03:06, 16 October 2009