Numerical Bifurcation Analysis Of Maps


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Numerical Bifurcation Analysis of Maps


Numerical Bifurcation Analysis of Maps

Author: I︠U︡riĭ Aleksandrovich Kuznet︠s︡ov

language: en

Publisher: Cambridge University Press

Release Date: 2019-03-28


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Combines a systematic analysis of bifurcations of iterated maps with concrete MATLAB® implementations and applications.

Elements of Applied Bifurcation Theory


Elements of Applied Bifurcation Theory

Author: Yuri A. Kuznetsov

language: en

Publisher: Springer Nature

Release Date: 2023-04-18


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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.

Mathematics of Complexity and Dynamical Systems


Mathematics of Complexity and Dynamical Systems

Author: Robert A. Meyers

language: en

Publisher: Springer Science & Business Media

Release Date: 2011-10-05


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Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.