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 …

Fractional order chaotic systems: history, achievements, applications, and future challenges

MS Tavazoei - The European Physical Journal Special Topics, 2020 - Springer
Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …

Discrete fractional logistic map and its chaos

GC Wu, D Baleanu - Nonlinear Dynamics, 2014 - Springer
Discrete fractional logistic map and its chaos | Nonlinear Dynamics Skip to main content
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[PDF][PDF] Advanced local fractional calculus and its applications

XJ Yang - 2012 - researchgate.net
This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …

[BOEK][B] Fractional order systems: modeling and control applications

R Caponetto, G Dongola, L Fortuna, I Petras - 2010 - books.google.com
This book aims to propose the implementation and application of Fractional Order Systems
(FOS). It is well known that FOS can be utilized in control applications and systems …

On some Routh–Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems

E Ahmed, AMA El-Sayed, HAA El-Saka - Physics Letters A, 2006 - Elsevier
On some Routh–Hurwitz conditions for fractional order differential equations and their
applications in Lorenz, Rössler, Chua and Chen systems - ScienceDirect Skip to main …

Chaos in the fractional order Chen system and its control

C Li, G Chen - Chaos, Solitons & Fractals, 2004 - Elsevier
In this letter, we study the chaotic behaviors in the fractional order Chen system. We found
that chaos exists in the fractional order Chen system with order less than 3. The lowest order …

Nonlinear dynamics and chaos in a fractional-order financial system

WC Chen - Chaos, Solitons & Fractals, 2008 - Elsevier
This study examines the two most attractive characteristics, memory and chaos, in
simulations of financial systems. A fractional-order financial system is proposed in this study …

On fractional order differential equations model for nonlocal epidemics

E Ahmed, AS Elgazzar - Physica A: Statistical Mechanics and its …, 2007 - Elsevier
A fractional order model for nonlocal epidemics is given. Stability of fractional order
equations is studied. The results are expected to be relevant to foot-and-mouth disease …

Chaotic attractors in incommensurate fractional order systems

MS Tavazoei, M Haeri - Physica D: Nonlinear Phenomena, 2008 - Elsevier
In this paper, based on the stability theorems in fractional differential equations, a necessary
condition is given to check the existence of 1-scroll, 2-scroll or multi-scroll chaotic attractors …