Percolation and spreading of damage in a simplified Kauffman model |
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Institution: | 1. Department of Electronics and communication, Rajagiri School of Engineering & Technology, Kochi, 682039, India;2. Department of Electronics and communication, College of Engineering, Trivandrum, 695016, India;1. Conservation International, Center for Oceans, 7192 Kalaniana‘ole Hwy, Ste. G-230, Honolulu, HI 96825, USA;2. Arizona State University, Center for Biodiversity Outcomes, Julie Ann Wrigley Global Institute of Sustainability, Life Sciences Center, A Wing 451 E Tyler Mall, Room 208, Tempe, AZ 85281, USA;3. Conservation International, Betty and Gordon Moore Center for Science, Arlington, VA 22202, USA;1. Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, Yekaterinburg, Russia;2. Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg, Russia |
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Abstract: | A simplified version of the Kauffman cellular automaton is introduced. As in the usual Kauffman model, there is a transition between a frozen phase and a chaotic phase where damage may spread. We associate the onset of chaos in this model with a percolation transition of certain rules occurring in the model. It seems to be in a different universality class from the usual Kauffman cellular automaton. |
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