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A family of multimodal dynamic maps
Affiliation:1. Carleton University, Ottawa, ON, Canada;2. School of Linguistics and Language Studies, Carleton University, Ottawa, ON, Canada;3. Allgemeine Sprachwissenschaft, Universität Bamberg, Bamberg, Germany;4. Geomatics and Cartographic Research Centre (GCRC), Carleton University, Ottawa, ON, Canada;1. Carleton University, Ottawa, ON, Canada;2. School of Linguistics and Language Studies, Carleton University, Ottawa, ON, Canada;3. Allgemeine Sprachwissenschaft, Universität Bamberg, Bamberg, Germany;1. School of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300130, China;2. School of Artificial Intelligence, Hebei University of Technology, Tianjin 300130, China;3. School of Mechanical Engineering, Dongguan University of Technology, Dongguan 523808, China;4. School for Engineering of Matter Transport and Energy, Arizona State University, Tempe, AZ 85287, USA
Abstract:We introduce a family of multimodal logistic maps with a single parameter. The maps domain is partitioned in subdomains according to the maximal number of modals to be generated and each subdomain contains one logistic map. The number of members of a family is equal to the maximal number of modals. Bifurcation diagrams and basins of attraction of fixed points are constructed for the family of chaotic logistic maps.
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