Applied Non-Linear Dynamical Systems [Hardcover]

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 A?dz, 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.

Duffing-Type Oscillators with Amplitude-Independent Period.- Asymptotics of Rigid-Body Motions for Nonlinear Dynamics: Physical In-sight and Methodologies.- Non-Linear Phenomena Exhibited by Flexible Cylindrical and Sector Shells.- Gear Shift Patterns in Uncertain Terrestrial Locomotion Systems.- Turbulence in Flexible Plates and Shells.- Using Bifurcation Diagrams for Controlling Chaos.- Shear Waves Dispersion in Cylindl;