Effects of noise on a nonuniform chaotic map |
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| Affiliation: | 1. Department of Molecular Imaging and Neuropathology, New York State Psychiatric Institute and Columbia University, 1051, Riverside Drive, NY 10032, New York, USA;2. Department of Psychiatry and Behavioral Science, College of Medicine, United Arab Emirates University, Al Ain, United Arab Emirates;3. Child and Adolescent Psychiatry Department, Hospital General Universitario Gregorio Marañón, Centro de Investigación Biomédica en Red de Salud Mental, CIBERSAM, Madrid, Spain;4. Department of Psychiatry, University of Pittsburgh School of Medicine, Pittsburgh, PA, USA;5. American Foundation for Suicide Prevention, USA;6. 286, Madison Ave, New York, NY 10016, USA;1. Centre of Microbial and Plant Genetics (CMPG), Department of Microbial and Molecular Systems, KU Leuven, Kasteelpark Arenberg 20, 3001 Leuven, Belgium;2. Department of Zoology, University of Oxford, Oxford OX1 3PS, UK;1. School of Food Science and Engineering, South China University of Technology, Guangzhou City, Guangdong Province, 510640, China;2. Ningbo International Travel Healthcare Center, No.336 LiutingStreet, Haishu District, Ningbo City, Zhejiang province, 315012, China;3. State Key Laboratory of Pulp and Paper Engineering, College of Light Industry and Food Sciences, South China University of Technology, 381Wusan Road, Tianhe District, Guangzhou City, 510640, Guangdong Province, China |
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| Abstract: | Nonuniform separation of orbits initially close to each other is measured by several quantities which are derived from the statistics of growth rates of small perturbations. Using these measures of nonuniformity, a Belousov-Zhabotinsky map (BZ map), the logistics map, and the tent map are compared. The extremely nonuniform BZ map shows a remarkable response to external noise: the state predictability can be improved by an increase in noise power. |
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