Advances in internal model control technique: A review and future prospects
The current study endeavors to put together evolution, developments, and future prospects
of internal model control strategy. Due efforts have been made to include all the techniques …
of internal model control strategy. Due efforts have been made to include all the techniques …
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 …
fractional order differential equations, this review paper focuses on dynamical fractional …
Hidden attractors in Chua circuit: mathematical theory meets physical experiments
N Kuznetsov, T Mokaev, V Ponomarenko… - Nonlinear …, 2023 - Springer
After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …
attractor in numerical simulation of a real physical process, a new scientific direction of …
On Riemann‐Liouville and caputo derivatives
Recently, many models are formulated in terms of fractional derivatives, such as in control
processing, viscoelasticity, signal processing, and anomalous diffusion. In the present …
processing, viscoelasticity, signal processing, and anomalous diffusion. In the present …
A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump
Fractional calculus is closer to reality and has the same memory characteristics as
memristor. Therefore, a fractional-order multistable locally active memristor is proposed for …
memristor. Therefore, a fractional-order multistable locally active memristor is proposed for …
Matlab code for Lyapunov exponents of fractional-order systems
MF Danca, N Kuznetsov - International Journal of Bifurcation and …, 2018 - World Scientific
In this paper, the Benettin–Wolf algorithm to determine all Lyapunov exponents for a class of
fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code …
fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code …
[HTML][HTML] Existence of solutions for a class of fractional boundary value problems via critical point theory
F Jiao, Y Zhou - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, by the critical point theory, a new approach is provided to study the existence
of solutions to the following fractional boundary value problem: where 0Dt− β and tDT− β are …
of solutions to the following fractional boundary value problem: where 0Dt− β and tDT− β are …
Existence results for fractional boundary value problem via critical point theory
F Jiao, Y Zhou - International Journal of Bifurcation and Chaos, 2012 - World Scientific
In this paper, by the critical point theory, the boundary value problem is discussed for a
fractional differential equation containing the left and right fractional derivative operators …
fractional differential equation containing the left and right fractional derivative operators …
Non-existence of finite-time stable equilibria in fractional-order nonlinear systems
J Shen, J Lam - Automatica, 2014 - Elsevier
We note that in the literature it is often taken for granted that for fractional-order system
without delays, whenever the system trajectory reaches the equilibrium, it will stay there. In …
without delays, whenever the system trajectory reaches the equilibrium, it will stay there. In …
Analysis of the functional behavior of fractional-order discrete neuron under electromagnetic radiation
T Ma, J Mou, S Banerjee, Y Cao - Chaos, Solitons & Fractals, 2023 - Elsevier
Human evolution is divided into two parts, the evolution of DNA-dominated human body and
the evolution of brain-dominated human behavior. Therefore, the study of brain function …
the evolution of brain-dominated human behavior. Therefore, the study of brain function …