Synchronization and Anti-synchronization of double hump Duffing-Van der Pol Oscillators via Active Control
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@Article{JICS-4-243,
author = {A. N. Njah},
title = {Synchronization and Anti-synchronization of double hump Duffing-Van der Pol Oscillators via Active Control},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {4},
number = {4},
pages = {243--250},
abstract = { This paper investigates the synchronization and anti-synchronization behaviour of two identical
double-hump Duffing-Van der Pol oscillator (DHDVP) evolving from different initial conditions using the
active control technique based on the Lyapunov stability theory (LST) and the Routh-Hurwitz criteria (RHC).
The designed controllers, with three different choices of the coefficient matrix of the error dynamics that
satisfy the LST and RHC, are found to be effective in the stabilization of the error states at the origin, thereby,
achieving synchronization and anti-synchronization between the states variables of two DHDVP oscillators.
Interestingly, one of the choices leads to a single control function, thereby, reducing controller complexity for
easy implementation. The results are validated by numerical simulations.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22732.html}
}
TY - JOUR
T1 - Synchronization and Anti-synchronization of double hump Duffing-Van der Pol Oscillators via Active Control
AU - A. N. Njah
JO - Journal of Information and Computing Science
VL - 4
SP - 243
EP - 250
PY - 2024
DA - 2024/01
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22732.html
KW - Synchronization
KW - Active Control
KW - Lyapunov stability theory
KW - Routh-Hurwitz criteria
KW - Double-
hump Duffing-Van der Pol Oscillators
AB - This paper investigates the synchronization and anti-synchronization behaviour of two identical
double-hump Duffing-Van der Pol oscillator (DHDVP) evolving from different initial conditions using the
active control technique based on the Lyapunov stability theory (LST) and the Routh-Hurwitz criteria (RHC).
The designed controllers, with three different choices of the coefficient matrix of the error dynamics that
satisfy the LST and RHC, are found to be effective in the stabilization of the error states at the origin, thereby,
achieving synchronization and anti-synchronization between the states variables of two DHDVP oscillators.
Interestingly, one of the choices leads to a single control function, thereby, reducing controller complexity for
easy implementation. The results are validated by numerical simulations.
A. N. Njah. (2024). Synchronization and Anti-synchronization of double hump Duffing-Van der Pol Oscillators via Active Control.
Journal of Information and Computing Science. 4 (4).
243-250.
doi:
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