Routes to chaos in continuous mechanical systems: Part 2. Modelling transitions from regular to chaotic dynamics |
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| Authors: | A.V. Krysko J. Awrejcewicz I.V. Papkova V.A. Krysko |
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| Affiliation: | 1. Department of Automation and Biomechanics, Technical University of ?ód?, 1/15 Stefanowski St., 90-924 Lodz, Poland;2. Saratov State Technical University, Department of Mathematics and Modeling, Politehnicheskaya 77, 410054 Saratov, Russian Federation;3. Engels Institute of Technology (Branch), Saratov State Technical University, Department of Higher Mathematics and Mechanics, 413100 Engels, Saratov Region, Ploschad Svobodi 17, Russian Federation;1. EPSRC Centre for Innovative Manufacturing in Through-life Engineering Services Cranfield University, Cranfield, Bedfordshire, MK34 0AL, UK;2. Engineering for Services, Rolls-Royce PLC, Derby, DE24 8BJ, UK;1. Center for Composite Materials, Harbin Institute of Technology, Harbin 150080, China;2. National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology, Harbin 150080, China;3. Shanghai YS Information Technology Co., Ltd., Shanghai 200240, China;1. Liuzhou Vocational Technological, College, Liuzhou 545006, China;2. Academy of Information Technology, Luoyang Normal University, Luoyang 471022, China;3. College of Automation, Guangdong University of Technology, Guangzhou 510006, China |
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| Abstract: | In second part of the paper both classical and novel scenarios of transition from regular to chaotic dynamics of dissipative continuous mechanical systems are studied. A detailed analysis allowed us to detect the already known classical scenarios of transition from periodic to chaotic dynamics, and in particular the Feigenbaum scenario. The Feigenbaum constant was computed for all continuous mechanical objects studied in the first part of the paper. In addition, we illustrate and discuss different and novel scenarios of transition of the analysed systems from regular to chaotic dynamics, and we show that the type of scenario depends essentially on excitation parameters. |
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