Overview
- Provides an overview of recent developments and trends in dynamical systems governed by non-linear ordinary differential equations
- Applies dynamical systems theory to the fields of applied mathematics, physics, mechanics and engineering-oriented sciences
- Includes high-quality sketches and figures derived from numerical simulations
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 93)
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About this book
The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future research. Topics covered include: constrained motion of mechanical systems and tracking control; diversities in the inverse dynamics; singularly perturbed ODEs with periodic coefficients; asymptotic solutions to the problem of vortex structure around a cylinder; investigation of the regular and chaotic dynamics; rare phenomena and chaos in power converters; non-holonomic constraints in wheeled robots; exotic bifurcations in non-smooth systems; micro-chaos; energy exchange of coupled oscillators; HIV dynamics; homogenous transformations with applications to off-shore slender structures; novel approaches to a qualitative study of a dissipative system; chaos of postural sway in humans; oscillators with fractional derivatives; controlling chaos via bifurcation diagrams; theories relating to optical choppers with rotating wheels; dynamics in expert systems; shooting methods for non-standard boundary value problems; automatic sleep scoring governed by delay differential equations; isochronous oscillations; the aerodynamics pendulum and its limit cycles; constrained N-body problems; nano-fractal oscillators and dynamically-coupled dry friction.
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Keywords
Table of contents (38 papers)
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Back Matter
Editors and Affiliations
Bibliographic Information
Book Title: Applied Non-Linear Dynamical Systems
Editors: Jan Awrejcewicz
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-08266-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-08265-3Published: 05 November 2014
Softcover ISBN: 978-3-319-37914-2Published: 22 September 2016
eBook ISBN: 978-3-319-08266-0Published: 21 October 2014
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XIV, 538
Number of Illustrations: 136 b/w illustrations, 124 illustrations in colour
Topics: Dynamical Systems and Ergodic Theory, Ordinary Differential Equations, Partial Differential Equations