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Abstract

Czy można przewidywać zachowanie się układów ewoluujących? Niekiedy może to być proste, jak w przypadku zwykłego, lekko odchylonego wahadła. Są jednak układy, dla których praktycznie nie sposób określić stanu końcowego.
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Authors and Affiliations

Tomasz Kapitaniak
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Abstract

Can we predict the behavior of evolving systems? While it is sometimes easy to do so, as in the case of an ordinary, slightly tilted pendulum, there are some systems whose ultimate state is practically impossible to ascertain.
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Authors and Affiliations

Tomasz Kapitaniak
ORCID: ORCID
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Abstract

Researchers have paid significant attention on hyperjerk systems, especial hyperjerk ones with chaos. A new hyperjerk system with seven terms and two parameters is analyzed. Chaotic attractors as well as coexisting attractors are displayed by the hyperjerk system. Thus it is a new multi-stable chaotic hyperjerk system. Further properties of the proposed hyperjerk system such as circuit design and backstepping-based control and synchronization are reported.

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Authors and Affiliations

Viet-Thanh Pham
Sundarapandian Vaidyanathan
Christos Volos
Sajad Jafari
Tomasz Kapitaniak
ORCID: ORCID
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Bibliography

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  2.  X. Li et al., “Investigation to the influence of additional magnets positions on four magnet bi-stable piezoelectric energy harvester”, Bull. Pol. Acad. Sci. Tech. Sci., vol. 70, no. 1, p. e140151, 2022, doi: 10.24425/bpasts.2022.140151.
  3.  A. Anand, S. Pal, and S. Kundu, “Bandwidth and power enhancement in the MEMS based piezoelectric energy harvester using magnetic tip mass”, vol. 70, no. 1, p. 140149, 2022, doi: 10.24425/BPASTS.2021.140149.
  4.  P. Kwiatoń, D. Cekus, M. Sofer, and P. Sofer, “Application of heuristic methods to identification of the parameters of discretecontinuous models”, Bull. Pol. Acad. Sci. Tech. Sci., vol. 70, no. 1, p. e140150, 2022, doi: 10.24425/bpasts.2022.140150.
  5.  S. Garus, W. Sochacki, M. Kubanek, and M. Nabiałek, “Minimizing the number of layers of the quasi one-dimensional phononic structures”, Bull. Pol. Acad. Sci. Tech. Sci., vol. 70, no. 1, p. e139394, 2022, doi: 10.24425/bpasts.2021.139394.
  6.  A. Mackojć and B. Chiliński, “Preliminary modelling methodology of a coupled payload-vessel system for offshore lifts of light and heavyweight objects”, Bull. Pol. Acad. Sci. Tech. Sci., vol. 70, no. 1, p. e139003, 2022, doi: 10.24425/bpasts.2021. 139003.
  7.  P. Bartkowski, H. Bukowiecki, F. Gawiński, and R. Zalewski, “Adaptive crash energy absorber based on a granular jamming mechanizm”, Bull. Pol. Acad. Sci. Tech. Sci., vol. 70, no. 1, p. e139002, 2022, doi: 10.24425/bpasts.2021.139002.
  8.  D. Rodak, M. Żurawski, M. Gmitrzuk, and L. Starczewski, “Possibilities of Vacuum Packed Particles application in blast mitigation seat in military armored vehicles”, vol. 70, no. 1, p. e138238, 2022, doi: 10.24425/BPASTS.2021.138238.
  9.  K. Sokół and M. Pierzgalski, “Investigations on an influence of the material properties on vibrations of active Rocker-Boogie suspension”, Bull. Pol. Acad. Sci. Tech. Sci., vol. 70, no. 1, p. e138239, 2022, doi: 10.24425/BPASTS.2021.138239.
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Authors and Affiliations

Tomasz Kapitaniak
1
ORCID: ORCID
Michal Šofer
2
ORCID: ORCID
Bartłomiej Błachowski
3
ORCID: ORCID
Wojciech Sochacki
4
ORCID: ORCID
Sebastian Garus
4
ORCID: ORCID

  1. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Łódź, Poland
  2. Department of Applied Mechanics, Faculty of Mechanical Engineering, VŠB – Technical University of Ostrava,17. Listopadu 15/2127, 708 33 Ostrava-Poruba, Czech Republic
  3. Institute of Fundamental Technological Research, Polish Academy of Sciences, ul. Pawinskiego 5b, 02-106 Warsaw, Poland
  4. Department of Mechanics and Fundamentals of Machinery Design, Faculty of Mechanical Engineering and Computer Science, Częstochowa University of Technology, al. Armii Krajowej 21, 42-201 Częstochowa, Poland
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Abstract

Although the study of oscillatory motion has a long history, going back four centuries, it is still an active subject of scientificr esearch. In this review paper prospective research directions in the field of mechanical vibrations were pointed out. Four groups of important issues in which advanced research is conducted were discussed. The first are energy harvester devices, thanks to which we can obtain or save significant amounts of energy, and thus reduce the amount of greenhouse gases. The next discussed issue helps in the design of structures using vibrations and describes the algorithms that allow to identify and search for optimal parameters for the devices being developed. The next section describes vibration in multi-body systems and modal analysis, which are key to understanding the phenomena in vibrating machines. The last part describes the properties of granulated materials from which modern, intelligent vacuum-packed particles are made. They are used, for example, as intelligent vibration damping devices.
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Authors and Affiliations

Sebastian Garus
1
ORCID: ORCID
Bartłomiej Błachowski
2
ORCID: ORCID
Wojciech Sochacki
1
ORCID: ORCID
Anna Jaskot
3
ORCID: ORCID
Paweł Kwiatoń
1
ORCID: ORCID
Mariusz Ostrowski
2
ORCID: ORCID
Michal Šofer
4
ORCID: ORCID
Tomasz Kapitaniak
5
ORCID: ORCID

  1. Faculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Poland
  2. Institute of Fundamental Technological Research, Polish Academy of Sciences, Poland
  3. Faculty of Civil Engineering, Czestochowa University of Technology, Poland
  4. Faculty of Mechanical Engineering, VŠB – Technical University of Ostrava, Czech Republic
  5. Division of Dynamics, Lodz University of Technology, Poland

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