Continuous And Discontinuous Piecewise smooth One dimensional Maps Invariant Sets And Bifurcation Structures is popular PDF and ePub book, written by Gardini Laura in 2019-05-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Continuous And Discontinuous Piecewise smooth One dimensional Maps Invariant Sets And Bifurcation Structures can be Read Online from any device for your convenience.
Continuous And Discontinuous Piecewise smooth One dimensional Maps Invariant Sets And Bifurcation Structures Book PDF Summary
The investigation of dynamics of piecewise-smooth maps is both intriguing from the mathematical point of view and important for applications in various fields, ranging from mechanical and electrical engineering up to financial markets. In this book, we review the attracting and repelling invariant sets of continuous and discontinuous one-dimensional piecewise-smooth maps. We describe the bifurcations occurring in these maps (border collision and degenerate bifurcations, as well as homoclinic bifurcations and the related transformations of chaotic attractors) and survey the basic scenarios and structures involving these bifurcations. In particular, the bifurcation structures in the skew tent map and its application as a border collision normal form are discussed. We describe the period adding and incrementing bifurcation structures in the domain of regular dynamics of a discontinuous piecewise-linear map, and the related bandcount adding and incrementing structures in the domain of robust chaos. Also, we explain how these structures originate from particular codimension-two bifurcation points which act as organizing centers. In addition, we present the map replacement technique which provides a powerful tool for the description of bifurcation structures in piecewise-linear and other form of invariant maps to a much further extent than the other approaches.
Detail Book of Continuous And Discontinuous Piecewise smooth One dimensional Maps Invariant Sets And Bifurcation Structures PDF
- Author : Gardini Laura
- Release : 28 May 2019
- Publisher : World Scientific
- ISBN : 9789811204715
- Genre : Mathematics
- Total Page : 648 pages
- Language : English
- PDF File Size : 17,5 Mb
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