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PETRŽELA, J. GÖTTHANS, T.
Originální název
New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
This paper presents a new autonomous deterministic dynamical system with equilibrium degenerated into a plane-oriented hyperbolic geometrical structure. It is demonstrated via numerical analysis and laboratory experiments that the discovered system has both a structurally stable strange attractor and experimentally measurable chaotic behavior. It is shown that the evolution of complex dynamics can be associated with a single parameter of a mathematical model and, due to one-to-one correspondence, to a single circuit parameter. Two-dimensional high resolution plots of the largest Lyapunov exponent and basins of attraction expressed in terms of final state energy are calculated and put into the context of the discovered third-order mathematical model and real chaotic oscillator. Both voltage- and current-mode analog chaotic oscillators are presented and verified by visualization of the typical chaotic attractor in a different fashion.
Klíčová slova
analog oscillator; autonomous deterministic system; circuit synthesis; chaos; nonlinear dynamics; strange attractor
Autoři
PETRŽELA, J.; GÖTTHANS, T.
Vydáno
22. 9. 2017
Nakladatel
MDPI
Místo
Basel, Switzerland
ISSN
2076-3417
Periodikum
Applied Sciences - Basel
Ročník
7
Číslo
10
Stát
Švýcarská konfederace
Strany od
976
Strany do
988
Strany počet
13
URL
https://www.mdpi.com/2076-3417/7/10/976
Plný text v Digitální knihovně
http://hdl.handle.net/11012/137220
BibTex
@article{BUT139701, author="Jiří {Petržela} and Tomáš {Götthans}", title="New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure", journal="Applied Sciences - Basel", year="2017", volume="7", number="10", pages="976--988", doi="10.3390/app7100976", issn="2076-3417", url="https://www.mdpi.com/2076-3417/7/10/976" }