Multistability of a non-smooth model with infinite equilibria

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F23%3A10252971" target="_blank" >RIV/61989100:27240/23:10252971 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/23:10252971
Result on the web
<a href="https://doi.org/10.1063/5.0163235" target="_blank" >https://doi.org/10.1063/5.0163235</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0163235" target="_blank" >10.1063/5.0163235</a>

Result language
angličtina
Original language name
Multistability of a non-smooth model with infinite equilibria
Original language description
This paper aims to investigate the multistability of a non-smooth model having infinite number of equilibrium points. The three-dimensional model is in a form of a system of nonlinear ordinary differential equations including a non-smooth function. The influence of initial conditions is considered while observing coexistence of multiple attractors. To obtain such phenomena, the Newton's method is applied to find the initial conditions which lead to a periodic orbit near the chaotic attractor. By perturbing the initial conditions around this point, nearby points are found using the 0-1 test for chaos, for which the system exhibits regular and chaotic behavior. Curiously, isolated grid points of initial conditions are detected, leading to the periodic orbit, remaining isolated under magnification. These are surrounded by initial conditions tending to chaotic attractors.
Czech name
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Czech description
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Project
<a href="/en/project/LM2018140" target="_blank" >LM2018140: e-Infrastructure CZ</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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