並列摘要
Symbolic dynamics is a coarse-grained description of dynamics. By taking into account the”geometry” of the dynamics, it can be cast into a powerful tool for practitioners in nonlinear science. Detailed symbolic dynamics can be developed not only for one-dimensional mappings, unimodal as well as those with multiple critical points and discontinuities, but also for some two-dimensional mappings. The latter paves the way for a symbolic dynamics study of ordinary differential equations via the Poincaré maps. This paper provides an overview of the recent development of the applied aspects of symbolic dynamics.
並列關鍵字
無資料被引用紀錄
Hsiao, H. Y. (2005). 渾沌影像加密之研究 [master's thesis, Chung Yuan Christian University]. Airiti Library. https://doi.org/10.6840/cycu200500086
延伸閱讀
- 陳韋達（2010）。Asymptotic Normality for Singularly Perturbed Diffusion Processes〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2010.03011
- BUTLER, S., & ROSENBLATT, J. (2006). DYNAMICS VIA MEASURABILITY. Abstract and Applied Analysis, 2006(), 594-608. https://doi.org/10.1155/AAA/2006/81356
- Li, L., Jin, Z., Yuan, S., Wang, K., Medvinsky, A. B., & Li, B. L. (2015). Nonlinear Dynamics in Epidemic Systems. Discrete Dynamics in Nature and Society, 2015(), 495-495-251. https://doi.org/10.1155/2015/703695
- Lin, Y. T. (2009). Non-primitive Type Symbolic Input for Concolic Testing [master's thesis, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2009.00404
- 劉順德（1972）。Prospects of Modern Symbolic Logic。現代學苑，9(11)，37-44。https://doi.org/10.7065/MRAS.197211.0037