Bifurcation of Maps and Applications
Title | Bifurcation of Maps and Applications PDF eBook |
Author | |
Publisher | Elsevier |
Pages | 243 |
Release | 1979-01-01 |
Genre | Mathematics |
ISBN | 008087147X |
Bifurcation of Maps and Applications
Numerical Bifurcation Analysis of Maps
Title | Numerical Bifurcation Analysis of Maps PDF eBook |
Author | I︠U︡riĭ Aleksandrovich Kuznet︠s︡ov |
Publisher | Cambridge University Press |
Pages | 423 |
Release | 2019-03-28 |
Genre | Mathematics |
ISBN | 1108499678 |
Combines a systematic analysis of bifurcations of iterated maps with concrete MATLAB® implementations and applications.
Bifurcation of maps and applications
Title | Bifurcation of maps and applications PDF eBook |
Author | Gérard Iooss |
Publisher | |
Pages | |
Release | 1979 |
Genre | |
ISBN |
Topics in Bifurcation of Maps and Applications
Title | Topics in Bifurcation of Maps and Applications PDF eBook |
Author | Gérard Iooss |
Publisher | |
Pages | |
Release | 1978 |
Genre | |
ISBN |
Elements of Applied Bifurcation Theory
Title | Elements of Applied Bifurcation Theory PDF eBook |
Author | Yuri Kuznetsov |
Publisher | Springer Science & Business Media |
Pages | 648 |
Release | 2013-03-09 |
Genre | Mathematics |
ISBN | 1475739788 |
Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.
Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures
Title | Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures PDF eBook |
Author | Gardini Laura |
Publisher | World Scientific |
Pages | 648 |
Release | 2019-05-28 |
Genre | Mathematics |
ISBN | 9811204713 |
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.
Bifurcations of Maps
Title | Bifurcations of Maps PDF eBook |
Author | Reza Khoshsiar Khoshsiar Ghaziani |
Publisher | |
Pages | 221 |
Release | 2008 |
Genre | |
ISBN |