Chaos synchronization in fractional differential systems
This paper presents a brief overview of recent developments in chaos synchronization in
coupled fractional differential systems, where the original viewpoints are retained. 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 …
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 …
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
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 …
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 …
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 …
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
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 …
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
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 …
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
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 …
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 …
synchronization is achieved in the fractional‐order modified Van der Pol–Duffing system via …