Dynamical behavior of a new chaotic system with one stable equilibrium

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F21%3A50018703" target="_blank" >RIV/62690094:18450/21:50018703 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/9/24/3217" target="_blank" >https://www.mdpi.com/2227-7390/9/24/3217</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math9243217" target="_blank" >10.3390/math9243217</a>

Result language
angličtina
Original language name
Dynamical behavior of a new chaotic system with one stable equilibrium
Original language description
This paper reports a simple three-dimensional autonomous system with a single stable node equilibrium. The system has a constant controller which adjusts the dynamic of the system. It is revealed that the system exhibits both chaotic and non-chaotic dynamics. Moreover, chaotic or periodic attractors coexist with a single stable equilibrium for some control parameter based on initial conditions. The system dynamics are studied by analyzing bifurcation diagrams, Lyapunov exponents, and basins of attractions. Beyond a fixed-point analysis, a new analysis known as connecting curves is provided. These curves are one-dimensional sets of the points that are more informative than fixed points. These curves are the skeleton of the system, which shows the direction of flow evolution. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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