Various computational methods of analysis of nonlinear dynamic systems have been described in Chapters 1–4. These methods have been developed and used mainly over the past 10 years by our research group. Relations among specific procedures are schematically shown in Fig. 5.1. Every procedure is denoted by its corresponding section number (or numbers when both LPS and DPS are involved). An increasing number of papers on the numerical methods discussed in this text have recently appeared in journals specializing in numerical methods and nonlinear analysis. In this chapter, we shall attempt to identify connections among the various numerical methods described here and the methods recently published. We shall also discuss the most common problems encountered in the application of particular numerical methods. The numbers of blocks in brackets in Fig. 5.1 will be used in the discussion.
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