{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/complex-patterns-in-a-simple-system","title":"Complex Patterns in a Simple System","arxiv_id":"patt-sol/9304003","date":"1993-04-17","proceeding":null,"authors":["John E. Pearson"],"abstract":"Numerical simulations of a simple reaction--diffusion model reveal a surprising variety of irregular spatio--temporal patterns. These patterns arise in response to finite--amplitude perturbations. Some of them resemble the steady irregular patterns discussed by Lee et al. Others consist of spots which grow until they reach a critical size at which time they divide in two. If, in some region, the spots become overcrowded, all the spots in that region decay into the uniform background.","url_abs":"https://arxiv.org/abs/patt-sol/9304003v1","url_pdf":"https://arxiv.org/pdf/patt-sol/9304003v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"complex-patterns-in-a-simple-system","repo_url":"https://github.com/jhidding/reaction-diffusion","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=patt-sol%2F9304003","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}