A Three-Dimensional Chaotic System with Square Equilibrium and No-Equilibrium

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU125271" target="_blank" >RIV/00216305:26220/17:PU125271 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007%2F978-3-319-50249-6_21" target="_blank" >https://link.springer.com/chapter/10.1007%2F978-3-319-50249-6_21</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-50249-6_21" target="_blank" >10.1007/978-3-319-50249-6_21</a>

Result language
angličtina
Original language name
A Three-Dimensional Chaotic System with Square Equilibrium and No-Equilibrium
Original language description
Recently, Leonov and Kuznetsov have introduced a new definition “hidden attractor”. Systems with hidden attractors, especially chaotic systems, have attracted significant attention. Some examples of such systems are systems with a line equilibrium, systems without equilibrium or systems with stable equilibria etc. In some interesting new research, systems in which equilibrium points are located on different special curves are reported. This chapter introduces a three-dimensional autonomous system with a square-shaped equilibrium and without equilibrium points. Therefore, such system belongs to a class of systems with hidden attractors. The fundamental dynamics properties of such system are studied through phase portraits, Poincaré map, bifurcation diagram, and Lyapunov exponents. Anti-synchronization scheme for our systems is proposed and confirmed by the Lyapunov stability. Moreover, an electronic circuit is implemented to show the feasibility of the mathematical model. Finally, we introduce the fractional order form of such system.
Czech name
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Czech description
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Project
<a href="/en/project/GA15-22712S" target="_blank" >GA15-22712S: Chaotic tangles in subsystems of radiofrequency channel</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name
Fractional Order Control and Synchronization of Chaotic Systems
ISBN
978-3-319-50249-6
Number of pages of the result
22
Pages from-to
613-635
Number of pages of the book
877
Publisher name
Springer, Cham
Place of publication
Neuveden
UT code for WoS chapter
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