Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches

This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference "Dynamical Systems: Theory and Applications", held in Lódz, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems.

The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Autorentext

Jan Awrejcewicz is the head of the Department of Automation, Biomechanics and Mechatronics at Lódz University of Technology. He is a two-time recipient of the Humboldt Award, editor of a few international journals, and the organizer of a number of international conferences on Dynamical Systems Theory and Application.

Inhalt

Nonlinear modelling and control of self-balancing human transporter (Makkar).- Nonlinear tourist flows in Barcelona (Trullols).- Convergence of dual infinity series (Klimenda).- Full spectrum analysis for studying the backward whirl in accelerated rotor systems (Alshudeifat).- Switched Reluctance Motor dynamic eccentricity modelling (Lorencki).- Harmonic transfer path analysis of a wine refrigerator (Hörtnagel).- Risk related prediction for recurrent stroke and post-stroke epilepsy using Fractional Fourier Transform analysis of EEG signals (Dulf).- Chaos, bifurcations and strange attractors in environmental radioactivity dynamics of some geosystems (Ternovsky).- Dynamics of chains as a tool to study thermomechanical properties of proteins (Weber).- Evaluation of the crane's actuators strength based on the results obtained from dynamics model (Urbas).- Nonlinear dynamics of atomic and molecular systems in an electromagnetic field: Deterministic chaos and strange attractors (Glushkov).- Deterministic chaos, bifurcations and strange attractors in nonlinear dynamics of relativistic backward-wave tube (Ternovsky).- Detection of chaotic behavior of the dynamical system using methods of deformable active contours (Ruchkin).- Dynamics of sensing element of micro- and nanoelectromechanical sensors as anisotropic size-dependent plate (Barulina).- Dynamic analysis and damage of composite layered plates reinforced by unidirectional fibers subjected low velocity impact (Soukup).- Identification of nonlinear joint interface parameters using instantaneous power flow balance approach (Rajan).- Numerical procedure for sensitivity analysis of hybrid systems (Pytlak).- Asymptotic stability of fractional variable order discrete-time equations with terms of convolution operators (Mozyrska).- Dynamics of circular plates under selected heat loadings (Doneva).- A Rulkov neuronal model with Caputo fractional variable-order differences of convolution type (Mozyrska).- Electrostatically actuated initially curved micro beams: analytical and finite element modelling (Mozhgova).- Numerical and analytical investigation of chatter suppression by parametric excitation (Dohnal).- Nonlinear study of a pneumatic artificial muscle (PAM) under superharmonic resonance condition using method of multiple scales (Kalita).- Two-mode long-wave low-frequency approximations for anti-plane shear deformation of a high-contrast asymmetric laminate (Kaplunov).- A study on the coefficient of restitution effect on single-sided vibro-impact nonlinear energy sink (Saeed).