Applied Non-Linear Dynamical Systems

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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.