This proceedings volume gathers selected, peer-reviewed papers presented at the Dynamical Systems Theory and Applications International Conference - DSTA 2021, held virtually on December 6-9, 2021, organized by the Department of Automation, Biomechanics, and Mechatronics at Lodz University of Technology, Poland. This volume focuses on numerical and analytical approaches, while Volume I concentrates on studies on applications.
Being a truly international conference, this 16th iteration of DSTA received submissions from authors representing 52 countries. The program covered both theoretical and experimental approaches to widely understood dynamical systems, including topics devoted to bifurcations and chaos, control in dynamical systems, asymptotic methods in nonlinear dynamics, stability of dynamical systems, lumped mass and continuous systems vibrations, original numerical methods of vibration analysis, non-smooth systems, dynamics in life sciences and bioengineering, as well as engineering systems and differential equations.
DSTA conferences aim to provide a common platform for exchanging new ideas and results of recent research in scientific and technological advances in modern dynamical systems. Works contained in this volume can appeal to researchers in the field, whether in mathematics or applied sciences, and practitioners in myriad industries.
Modeling and analyzing a spring pendulum motion in the presence of
energy harvesting devices (Abohamer, M., Awrejcewicz, J., Starosta, R., Amer,
T., Bek, M. A.).- Asymptotic Solutions of the Boundary Value Problem of
Convective Diffusion around Drops with Volumetric Nonlinear Chemical Reaction
(Akhmetov, R.).- Mathematical model of double row self-aligning ball bearing
(Ambrokiewicz, B., Litak, G., Georgiadis, A., Syta, A., Meier, N., Gassner,
A.).- Dynamics of railway wheelsets with a nonsmooth contact force model
(Antali, M.).- Studies of the interaction dynamics in albumin - chondroitin
sulfate systems by recurrence method (Bedowski, P., Weber, P., Gadomski, A.,
Sionkowski, P., Kruszewska, N., Domino, K.).- Dynamic Integrity of
Hyperelastic Spherical Membranes (Benedetti, K., Silva, F., Soares, R.,
Gonçalves, P.).- Nonstationary stochastic analysis of fractional viscoelastic
Euler-Bernoulli beams (Burlon, A., Di Paola, M., Sucato, V.).- Zermelo
Navigation Problem with State Constraints (Smirnova, N., Malykh, E.,
Cherkasov, O.).- About the attacker-defender-target optimal problem
(Cherkasov, O. Y., Malykh, E. V., Makieva, E. I.) .- The Symbolic Description
of Feedbacks in Nonlinear Control Problems with a Parameter Using
Approximation Theory Methods (Danik, Y., Dmitriev, M.).- The Symbolic
Description of Feedbacks in Nonlinear Control Problems with a Parameter Using
Approximation Theory Methods (Danik, Y., Dmitriev, M.).- Deficient RC slabs
strengthened with combined FRP layer and high-performance fiber-reinforced
cementitious composite (Ebadi-Jamkhaneh, M., Ahmadi, M., Kontoni, D.-P. N.).-
On alphabetical shaped soliton for intrinsic fractional coupled nonlinear
electrical transmission lattice using sine-cosine method (Fendzi-Donfack, E.,
Nkouessi, N. T., Tala-Tebue, E., Kenfack-Jiotsa, A.).- The effect of damping
on the energy transfer in the spherical pendulum with fractional damping in a
pivot point (Freundlich, J., Sado, D.).- Lyapunov Functionsby interpolating
numerical quadratures: Proof of Convergence (Giesl, P., Hafstein, S.).-
Proposal of a control hardware architecture for implementation of
fractional-order controllers (Gude, J. J., Bringas, P. G.).- Influence of
periodic nutrient advection on a simple ecosystem (Jaillet, A., Riviere, P.,
Carton, X.).- The effect of initial stress on nonlinear lateral vibrations of
rotating rods (Khajiyeva, L., Kudaibergenov, A., Kudaibergenov, A.,
Umbetkulova, A.).- Optimisation potentials of laminated composites using
semi-analytical vibro-acoustic models (Klaerner, M., Binsilm, S., Marburg,
S., Kroll, L. Optimisation).- Validation of numerical models describing the
stress-strain characteristics in the strength tests of composite materials on
a metal matrix using the elasto-optic method (Kurzawa, A., Pyka, D., Bocian,
M., Jankowski, L., Bajkowski, M., Jamroziak, K.).- Forced vibrations in a
dynamic system equipped with a mechanism that trans-pass through its singular
position (Lipinski, K.).- Spectral analysis of chimney vibrations (Machado,
M., Dutkiewicz, M.).- Non-smooth dynamics in ramp-controlled and
sine-controlled Buck converters (Bastidas, J. D. M., Cataño, J. G. M., Tost,
G. O.).- Discovery and Online Interactive Representation of the Dimensionless
Parameter-Space of the Spring-Loaded Inverted Pendulum Model of Legged
Locomotion Using Surface Interpolation (Nagy, Á. M., Patkó, D., Zelei, A.).
- Chaos and Fractal-based information hiding techniques as applied to
Steganography (Ntaoulas, N., Drakopoulos, V.).- Analysis of practical
application aspects for an active control strategy to Civil Engineering
structures (Paulet-Crainiceanu, F., Florea, V., Luca, S. G., Pastia, C.,
Rosca, O. V.).- Nonlinear Dynamic Model of the Oculo-Motor System Human based
on the Volterra Series (Pavlenko, V., Shamanina, T., Chori, V.).- Dynamics of
energy harvesting mechanical system in the vicinity of 1:1 resonance
(Puzyrov, V., Awrejcewicz, J., Losyeva, N.).- Estimation the domain of
attraction for a system of two coupled oscillators with weak damping
(Puzyrov, V., Awrejcewicz, J., Losyeva, N., Savchenko, N., Nikolaieva, O.).-
Super-twisting sliding mode control for a formation of fully-actuated
multirotor aerial vehicles (Ricardo Jr, J. A., Santos, D. A.).- Parameter
identification for a two-axis gimbal system and its kinematic calibration
(Rówienicz, ., Malczyk, P.).- A multi-agent computer program for automatic
investigation the behaviour of a nonlinear dynamic system in real-time
(Ruchkin, C., Ruchkin, A.).- Asymptotic approach to motion of physical
pendulum with an extended model of damping (Salamon, R., Sypniewska-Kamiska,
G., Kamiski, H.).- Vibration characterization of a tubular chemical reactor
(Santos, J., Machado, M., Vernieres-Hassimi, L., Khalij, L.).- Dynamics of a
multiple-link aerodynamic pendulum (Selyutskiy, Y., Holub, A., Lin, C. H.).-
A method to improve the accuracy of bridge cranes overload protection using
the signal graph. (Semenyuk, V., Lingur, V., Martsenyuk, V., Kazakova, N.,
Punchenko, N., Faat, P., Warwas, K.).- Shock Torsion Wave in an Elastic Rod
with Decreasing Function of Viscoplastic External Friction (Shatskyi, I.,
Perepichka, V.).- Effect of porosity on free vibration of FG shallow shells
with complex planform (Shmatko, T.).- Brachistochrone problem with state
constraints of a certain type (Smirnova, N., Cherkasov, O.).- Evaluation of
forces in dynamically loaded journal bearings using feedforward neural
networks (Smolík, L., Rendl, J., Bulín, R.).- Time-variable normal contact
force influence on dry-friction damping of self-excited vibration of bladed
turbine wheel (Snabl, P., Pesek, L., Prasad, C. P.).- Coupled system of
stochastic neural networks with impulses, Markovian switching, and node and
connection delays (Tojtovska, B., Ribarski, P.).- Bifurcations in inertial
focusing of particles in curved ducts (Valani, R., Harding, B., Stokes, Y.).-
Strategies for amplitude control in a ring of self-excited oscillators (Vinod
V., Balaram B.).- Statistical method for analysis of interactions between
chosen protein and chondroitin sulfate in an aqueous environment (Weber, P.,
Bedowski, P., Gadomski, A., Domino, K., Sionkowski, P., Ledziski, D.).-
Development of a cardiovascular mathematical model considering the thermal
environment. (Xia, Z., Ishikawa, Y., Kaneko, S., Kusaka, J.).- On the
attitude stabilization of artificial Earth satellite in the natural
electromagnetic coordinate system (Aleksandrov, A. Y., Tikhonov, A. A.).-
Influence of fractional order parameter on the dynamics of different
vibrating systems (Zafar, A. A., Awrejcewicz, J.).- Method of inversion of
Laplace transform in some problems of dynamic elasticity (Zhuravlova, Z.)
Jan Awrejcewicz is the head of the Department of Automation, Biomechanics and Mechatronics at ód 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.
