Partially nearly riddled basins in systems with chaotic saddle |
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| Institution: | 1. Department of Electrical and Computer Engineering, Kulliyyah of Engineering, International Islamic University, Malaysia, Kuala Lumpur, Malaysia;2. Manufacturing Technology & Innovation (MTI), Jabil Circuit Sdn Bhd, Phase 4, 56, Hilir Sungai Kluang 1, Bayan Lepas Industrial Park, 11900 Bayan Lepas, Pulau Pinang, Malaysia;3. Mechanical Engineering Department, The City College of New York, New York, NY, USA;4. Department of Biomedical Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong;1. School of Maritime Economics and Management, Dalian Maritime University, Dalian 116026, China;2. CIRRELT, Université Laval Québec, Canada;3. CIRRELT, Université Laval Québec, Canada research chair in integrated logistics, Canada;4. Department of equipment support and remanufacturing, Army Academy of Armored Forces, Beijing 100072, China;5. Business School, University of Greenwich, London SE10 9LS UK |
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| Abstract: | We show that chaotic attractors can have partially nearly riddled basins of attraction, i.e., basins which consist both of large open sets and a set in which small open sets which belong to the basins of different attractors are intermingled. We argue that such basins are robust for systems with the chaotic saddle located between at least two attractors and in the presence of noise cause the uncertainties similar to those implied by riddled basins. |
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