Welcome Back !To keep connected with uslogin with your personal info
Home Academics Nonlinear Science, Chaos and Dynamical Systems Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures: 95 (World Scientific Series on Nonlinear Science Series A)
Enjoying reading this book?
Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures: 95 (World Scientific Series on Nonlinear Science Series A)
by Laura Gardini, Viktor Avrutin, et al.
4.1
4.1 out of 5
Creators
AuthorLaura Gardini, Viktor Avrutin, et al.
Publisher World Scientific Publishing Co Pte Ltd
SynopsisThe 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.
Enjoying reading this book?
Binding: Hardcover
About the author
Specifications
Language: English
Publisher: World Scientific Publishing Co Pte Ltd
Pages: 648 pages
Binding: Hardcover
ISBN: 9789814368827
Category: Nonlinear Science, Chaos and Dynamical Systems
Cosmic Rays For Particle And Astroparticle Physics - Proceedings Of The 12th Icatpp Conference: 6 (Astroparticle, Particle, Space Physics, Radiation ... Detectors And Medical Physics Applications)
by Simone Giani, Claude Leroy, et al.
Methuselah Flies: A Case Study In The Evolution Of Aging
by Michael Robertson Rose, Hardip B Passananti, et al.
Modeling Love Dynamics: 89 (World Scientific Series on Nonlinear Science Series A)
Sergio Rinaldi, Fabio Della Rossa, et al.
Engineering Of Chemical Complexity Ii: 12 (World Scientific Lecture Notes In Complex Systems)
Alexander S Mikhailov and Gerhard Ertl
Foundations Of Complex Systems: Emergence, Information And Prediction (2nd Edition)
Gregoire Nicolis and Catherine Nicolis
Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems: 96 (World Scientific Series on Nonlinear Science Series A)
Franco Sebastian Gentile, Jorge Luis Moiola, et al.
