Multistability analysis of a conformable fractional-order chaotic system

C Ma, M Jun, Y Cao, T Liu, J Wang - Physica Scripta, 2020 - iopscience.iop.org
In this paper, a new algorithm which is combined conformable fractional derivative and
CADM algorithm for solving fractional-order chaotic system is proposed and applied to a …

Estimating the ultimate bounds and synchronization of fractional-order plasma chaotic systems

Q Peng, J Jian - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper focuses on the Mittag–Leffler ultimate bounds (MLUBs) and synchronization of
fractional-order plasma chaotic systems (FOPCSs). For one thing, by choosing some …

Dynamical analysis and triple compound combination anti-synchronization of novel fractional chaotic system

P Trikha, LS Jahanzaib, Nasreen… - Journal of Vibration …, 2022 - journals.sagepub.com
This study introduces a novel 3-D fractional chaotic system with two quadratic terms and no
equilibrium point. Thorough dynamical analysis of the introduced system is done studying …

Research on the law of spatial fractional calculus diffusion equation in the evolution of chaotic economic system

H Wang, C Weng, Z Song, J Cai - Chaos, Solitons & Fractals, 2020 - Elsevier
The development and evolution of economic system is the important support for economic
analyses and researches. The application of nonlinear science, which is represented by …

Dual Combination Combination Anti Synchronization of Eight Fractional Order Chaotic Systems.

A Khan, D Khattar, N Agrawal - International Journal of Applied and …, 2022 - Springer
In this paper a new three dimensional fractional order system having three nonlinear terms
is introduced. The chaos in the nature of the system is investigated by examining the …

Comparative analysis of two novel chaotic systems, and validation of hybrid function projective and complete synchronization using active-adaptive control

D Khattar, M Sirohi, R Bansal - Physica Scripta, 2024 - iopscience.iop.org
This study investigates the nonlinear characteristics of two novel 3D-chaotic models using
phase portraits, bifurcation diagrams, Lyapunov exponents, time series analysis, and …

Qualitative analysis of a novel 4D hyperchaotic system and its chaos synchronization via active, adaptive, and sliding mode control

N Agrawal, G Singh - Indian Journal of Physics, 2024 - Springer
This study introduces a brand-new, four-dimensional hyperchaotic system and provides a
full analysis of its dynamical characteristics. Time series, phase portraits, Poincaré maps …

One-dimensional consolidation of viscoelastic soils incorporating caputo-fabrizio fractional derivative

M Huang, C Lv, S Zhou, S Zhou, J Kang - Applied Sciences, 2021 - mdpi.com
In this paper, the Caputo-Fabrizio fractional derivative is introduced to investigate the one-
dimensional consolidation behavior of viscoelastic soils. Using the Caputo-Fabrizio …

Dynamical analysis of a 5D novel system based on Lorenz system and its hybrid function projective synchronisation using adaptive control

D Khattar, N Agrawal, M Sirohi - Pramana, 2023 - Springer
In this paper, we have introduced a novel five-dimensional (5D) hyperchaotic system by
extending the well-known Lorenz system. The dynamical properties of the system are …

Extreme multistability in a fractional-order thin magnetostrictive actuator (TMA)

ZN Sylvain, KT Victor, NG Bruno, TP Kisito - SeMA Journal, 2021 - Springer
In this paper, we consider and investigate the dynamics of a fractional-order thin
magnetostrictive actuato with quintic nonlinearity. The energy balance method is used to …