Dynamics of distributed-order hyperchaotic complex van der Pol oscillators and their synchronization and control

GM Mahmoud, AA Farghaly… - The European Physical …, 2020 - Springer
… including stability, bifurcations, and chaotic solutions. It has been appeared … van der Pol
oscillator. The bifurcation of a periodic solution of van der Pol oscillator with the harmonic forcing

Chaotic van der Pol Oscillator Control Algorithm Comparison

L Ribordy, T Sands - Dynamics, 2023 - mdpi.com
… that the van der Pol system can be forced to asymptotically … using a van der Pol oscillator,
the driver, to force another van … -linear adaptive control of a van der Pol oscillator when using

[PDF][PDF] ADAPTIVE SYNCHRONIZATION OF CHAOTIC-SYSTEM WITH UNCERTAIN AND NOISY PARAMETERS

P MONDAL, N ISLAM - Journal of the Calcutta Mathematical Society, 2022 - academia.edu
… an adaptive controller to make the system globally asymptotically … We simulate the Van der
Pol oscillator with µ = 0.01 and initial … Constructing parameter estimators driven by weak non-…

Design of a new chaotic system based on van der pol oscillator and its encryption application

J He, J Cai - Mathematics, 2019 - mdpi.com
… the synchronization is achieved by adaptive sliding mode control. An experimental demonstration
of a generation of bursting patterns in the Van der Pol oscillator driven by … and chaotic

Master-slave synchronization in the Duffing-van der Pol and Φ6 Duffing oscillators

U Uriostegui-Legorreta, ES Tututi - International Journal of Nonlinear …, 2023 - degruyter.com
… different ways of synchronization between identical or distinct chaotic systems in …
synchronization. Three of the most studied nonlinear oscillators with forcing are the Duffing, van der

Multistability, quasiperiodicity and chaos in a self-oscillating ring dynamical system with three degrees of freedom based on the van der Pol generator

S Astakhov, O Astakhov, N Fadeeva… - Chaos, Solitons & Fractals, 2021 - Elsevier
… system are studied versus the control parameters, and the … oscillators to the feedback loop
of the classical van der Pol generator leads to the appearance of quasiperiodic and chaotic

Reversal of period doubling, multistability and symmetry breaking aspects for a system composed of a van der pol oscillator coupled to a duffing oscillator

J Ramadoss, J Kengne, ST Tanekou… - Chaos, Solitons & …, 2022 - Elsevier
… scenarios to chaos, and multistability are observed when driven by an … of synchronization
of the coupled system is also addressed based on recent achievements on adaptive control

A new adaptive synchronization and hyperchaos control of a biological snap oscillator

SS Sajjadi, D Baleanu, A Jajarmi, HM Pirouz - Chaos, Solitons & Fractals, 2020 - Elsevier
… , which used the Van der Pol equations as a starting point considering a periodic force for
heart … theory, we design adaptive controllers in order to synchronize and stabilize the biological …

Dynamics and synchronization of complex-valued ring networks

X Zhao, J Liu, G Chen, L Chai… - International Journal of …, 2022 - World Scientific
… In this paper, a ring network of interacting complex-valued van der Pol oscillators is studied
… -valued van der Pol oscillator, chaos, hyperchaos, and coexisting chaotic attractors are …

[PDF][PDF] Dynamics of distributed-order hyperchaotic complex van der Pol oscillator and its synchronization and control

GM Mahmouda, AA Farghalya, TM Abed-Elhameeda… - researchgate.net
… We consider a forced complex van der Pol oscillator as: … extended van der Pol oscillator.
The bifurcation of a periodic solution of van der Pol oscillator with the harmonic forcing term is …