Dynamics exploration for a fractional-order delayed zooplankton–phytoplankton system
In this study, we are concerned with the dynamics of a new established fractional-order
delayed zooplankton–phytoplankton system. The existence and uniqueness of the solution …
delayed zooplankton–phytoplankton system. The existence and uniqueness of the solution …
Adaptive neural control of non‐linear fractional order multi‐agent systems in the presence of error constraints and input saturation
F Mohammadzamani, M Hashemi… - IET Control Theory & …, 2022 - Wiley Online Library
This paper presents a tracking control problem for fractional order multi‐agent systems in the
presence of uncertainties. The study takes into account the problems of error constraints …
presence of uncertainties. The study takes into account the problems of error constraints …
Coexisting attractors in a fractional order hydro turbine governing system and fuzzy PID based chaos control
K Rajagopal, H Jahanshahi, S Jafari… - Asian Journal of …, 2021 - Wiley Online Library
ABSTRACT A fractional order model of a hydro turbine governing system (FOHTGS) is
derived using the Grunwald‐Letnikov's (GL) method. This model is developed using its …
derived using the Grunwald‐Letnikov's (GL) method. This model is developed using its …
Simplest megastable chaotic oscillator
Recently, chaotic systems with hidden attractors and multistability have been of great
interest in the field of chaos and nonlinear dynamics. Two special categories of systems with …
interest in the field of chaos and nonlinear dynamics. Two special categories of systems with …
A review on FPGA implementation of fractional-order systems and PID controllers
Fractional-order systems and controls utilize concepts from fractional calculus for modelling,
control designs, and practical applications. However, it can be challenging to transform …
control designs, and practical applications. However, it can be challenging to transform …
Coexistence of attractors in a simple chaotic oscillator with fractional-order-memristor component: analysis, FPGA implementation, chaos control and synchronization
K Rajagopal, ST Kingni, AJM Khalaf… - The European Physical …, 2019 - Springer
In this paper, the simplest chaotic oscillator with fractional-order-memristor component
(SCOF) is proposed. Dynamical characteristics of the proposed chaotic oscillator are …
(SCOF) is proposed. Dynamical characteristics of the proposed chaotic oscillator are …
Multiscroll chaotic system with sigmoid nonlinearity and its fractional order form with synchronization application
In this paper, a multiscroll snap oscillator with hyperbolic tangent function is proposed. There
is no limitation in the number of scrolls and it can be increased by proper choice of a specific …
is no limitation in the number of scrolls and it can be increased by proper choice of a specific …
Numerical simulations and FPGA implementations of fractional-order systems based on product integration rules
Product integration (PI) rules are well known numerical techniques that are used to solve
differential equations of integer and, recently, fractional orders. Due to the high memory …
differential equations of integer and, recently, fractional orders. Due to the high memory …
Stability and stabilization of fractional‐order systems with different derivative orders: An LMI approach
Stability and stabilization analysis of fractional‐order linear time‐invariant (FO‐LTI) systems
with different derivative orders is studied in this paper. First, by using an appropriate linear …
with different derivative orders is studied in this paper. First, by using an appropriate linear …
A novel 5D chaotic system with extreme multi-stability and a line of equilibrium and its engineering applications: circuit design and FPGA implementation
Extreme multi-stability is a newly introduced property observed in nonlinear dynamical
systems. Such systems have very rich dynamical solutions depending on both parameters …
systems. Such systems have very rich dynamical solutions depending on both parameters …