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- W4385293732 abstract "Abstract The cell mapping method has attractive features for studying global behavior of nonlinear dynamical systems, especially for locating stable periodic solutions and their domains of attractions. A major hurdle in practical implementation of the method for analyzing higher order system is due to its computational memory requirements. The storage of the cell map itself forms a significant portion of the overall memory requirement for cell mapping analysis. In this paper, we outline a procedure for eliminating the storage requirement for the cell map by modifying the existing simple cell mapping unraveling algorithm. The key factor in the modification comes from the analysis of an individual cell sequence originating from a given cell and how its ultimate mapping sequence is determined before a new sequence is generated. Since such a sequence must terminate in either a sink cell or a periodic motion, we propose a modified algorithm which combines this feature effectively with the existing algorithm. The utility of the proposed unraveling algorithm is demonstrated by computing bifurcation of periodic solutions of a strongly nonlinear mechanical system. Some features of the dynamic behavior are analyzed to show the existence of periodic solutions and chaotic behavior." @default.
- W4385293732 created "2023-07-28" @default.
- W4385293732 creator A5036370966 @default.
- W4385293732 date "1996-11-17" @default.
- W4385293732 modified "2023-09-23" @default.
- W4385293732 title "On an Improved Simple Cell Mapping Unravelling Algorithm" @default.
- W4385293732 doi "https://doi.org/10.1115/imece1996-0433" @default.
- W4385293732 hasPublicationYear "1996" @default.
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