By Jan Awrejcewicz (eds.)

ISBN-10: 3319082655

ISBN-13: 9783319082653

ISBN-10: 3319082663

ISBN-13: 9783319082660

The ebook is a suite of contributions dedicated to analytical, numerical and experimental innovations of dynamical platforms, provided on the overseas convention on Dynamical platforms: concept and functions, held in Łódź, Poland on December 2-5, 2013. The stories provide deep perception into either the idea and purposes of non-linear dynamical platforms, emphasizing instructions for destiny learn. issues lined contain: limited movement of mechanical platforms and monitoring regulate; diversities within the inverse dynamics; singularly perturbed ODEs with periodic coefficients; asymptotic ideas to the matter of vortex constitution round a cylinder; research of the typical and chaotic dynamics; infrequent phenomena and chaos in strength converters; non-holonomic constraints in wheeled robots; unique bifurcations in non-smooth platforms; micro-chaos; power alternate of coupled oscillators; HIV dynamics; homogenous ameliorations with functions to off-shore slim constructions; novel techniques to a qualitative research of a dissipative approach; chaos of postural sway in people; oscillators with fractional derivatives; controlling chaos through bifurcation diagrams; theories on the subject of optical choppers with rotating wheels; dynamics in professional structures; capturing tools for non-standard boundary worth difficulties; automated sleep scoring ruled by way of hold up differential equations; isochronous oscillations; the aerodynamics pendulum and its restrict cycles; limited N-body difficulties; nano-fractal oscillators and dynamically-coupled dry friction.

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**Example text**

3. For the WLLS with N D 4 and given parameters, the estimates for different numbers of active spikes a, a D 1; 2; 3, are plotted. As observed in previous simulations, the actual speed resulting from a certain gait frequency can slightly vary, due to the allowed error of . 18 and 0:31 ms 1 , the gait with a D 2 is advantageous; • for speeds higher than 0:31 ms 1 , the gait with a D 1 is superior. Remark 1. Consider driving a car as an analogy. A large value of a is equivalent to a low gear of the car.

Chaotic vibrations of shells in a temperature field. In: Proceedings of the International Conference on Engineering Dynamics, Carvoeiro, Algarve, Portugal, , pp. 21–28, 2007 13. : Nonlinear dynamics of antennas in cosmonautic coupling tools. Izvestia VUZ. Aviation Tech. 2, 60–62 (2011) (in Russian) 14. : Chaotic nonlinear dynamics of cantilever beams under the action of signs-variables loads. In: PAMM, Special Issue: 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), vol.

XP i xi 1 l0;i / xP i / C FZ;i C FGx;i (3) with i D 0; : : : ; n and c0 D cnC1 D d0 D dnC1 D u0 D unC1 D 0. t /. They shall serve as control inputs to achieve global movement: the distances between mass points shall follow prescribed time-variant functions. t /, the error of the output variables. , find a mapping e 7! u. The controller shall stabilize the WLLS with unknown or uncertain (known within an interval) parameters. Therefore, adaptive control as described in [1] is used. The controller consists of a PD-structure and a gain adaption law to achieve stability.

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