Chaos synchronization in fractional differential systems

F Zhang, G Chen, C Li, J Kurths - … Transactions of the …, 2013 - royalsocietypublishing.org
This paper presents a brief overview of recent developments in chaos synchronization in
coupled fractional differential systems, where the original viewpoints are retained. In …

Synchronization of different fractional order chaotic systems using active control

S Bhalekar, V Daftardar-Gejji - Communications in Nonlinear Science and …, 2010 - Elsevier
Synchronization of fractional order chaotic dynamical systems is receiving increasing
attention owing to its interesting applications in secure communications of analog and digital …

Fractional-order Chua's system: discretization, bifurcation and chaos

RP Agarwal, AMA El-Sayed, SM Salman - Advances in Difference …, 2013 - Springer
In this paper we are interested in the fractional-order form of Chua's system. A discretization
process will be applied to obtain its discrete version. Fixed points and their asymptotic …

On chaos control and synchronization of the commensurate fractional order Liu system

AS Hegazi, E Ahmed, AE Matouk - Communications in Nonlinear Science …, 2013 - Elsevier
In this work, we study chaos control and synchronization of the commensurate fractional
order Liu system. Based on the stability theory of fractional order systems, the conditions of …

Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model

AE Matouk, AA Elsadany - Nonlinear Dynamics, 2016 - Springer
In this paper, the fractional-order generalized Lotka–Volterra (GLV) model and its
discretization are investigated qualitatively. A sufficient condition for existence and …

Complex dynamics in susceptible-infected models for COVID-19 with multi-drug resistance

AE Matouk - Chaos, Solitons & Fractals, 2020 - Elsevier
Nowadays, exploring complex dynamic of epidemic models becomes a focal point for
research after the outbreak of COVID-19 pandemic which has no vaccine or fully approved …

[HTML][HTML] An analytical study of the dynamic behavior of Lotka-Volterra based models of COVID-19

WW Mohammed, ES Aly, AE Matouk, S Albosaily… - Results in physics, 2021 - Elsevier
COVID-19 has become a world wide pandemic since its first appearance at the end of the
year 2019. Although some vaccines have already been announced, a new mutant version …

[HTML][HTML] Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system

AS Hegazi, AE Matouk - Applied Mathematics Letters, 2011 - Elsevier
Some dynamical behaviors are studied in the fractional order hyperchaotic Chen system
which shows hyperchaos with order less than 4. The analytical conditions for achieving …

Dynamical analysis and circuit simulation of a new fractional-order hyperchaotic system and its discretization

AMA El-Sayed, A Elsonbaty, AA Elsadany… - International Journal of …, 2016 - World Scientific
This paper presents an analytical framework to investigate the dynamical behavior of a new
fractional-order hyperchaotic circuit system. A sufficient condition for existence, uniqueness …

Chaos synchronization of a fractional‐order modified Van der Pol–Duffing system via new linear control, backstepping control and Takagi–Sugeno fuzzy approaches

AE Matouk - Complexity, 2016 - Wiley Online Library
In this article, based on the stability theory of fractional‐order systems, chaos
synchronization is achieved in the fractional‐order modified Van der Pol–Duffing system via …