Bifurcations of negative responses to positive feedback current mediated by memristor in a neuron model with bursting patterns

F Wu, H Gu - International Journal of Bifurcation and Chaos, 2020 - World Scientific
In contrast to traditional viewpoint that positive feedback current always enhances neural
firing activities, in the present paper, we identify that the excitatory feedback current …

Intelligent parameter identification and prediction of variable time fractional derivative and application in a symmetric chaotic financial system

B Wang, J Liu, MO Alassafi, FE Alsaadi… - Chaos, Solitons & …, 2022 - Elsevier
Identifying parameters of financial and economic models with chaotic dynamics is an
important, yet daunting challenge because of the complexities there exist in these chaotic …

Analog control circuit designs for a class of continuous-time adaptive fault-tolerant control systems

XZ Jin, WW Che, ZG Wu, H Wang - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article is concerned with the robust adaptive fault-tolerant control (FTC) circuit designs
for a class of continuous-time disturbed systems. A circuit realization method is investigated …

A class of initials-dependent dynamical systems

J Ma, F Wu, G Ren, J Tang - Applied Mathematics and Computation, 2017 - Elsevier
Nonlinear term is critical for emergence of chaos in autonomous dynamical systems. The
sampled time series in chaotic system are dependent on the initial selection of variables …

A simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme

C Volos, A Akgul, VT Pham, I Stouboulos… - Nonlinear …, 2017 - Springer
In this work, one of the most simple chaotic autonomous circuits, which has been reported in
the literature, is presented. The proposed circuit, that belongs to jerk systems family, is …

New aspects of the adaptive synchronization and hyperchaos suppression of a financial model

A Jajarmi, M Hajipour, D Baleanu - Chaos, Solitons & Fractals, 2017 - Elsevier
This paper mainly focuses on the analysis of a hyperchaotic financial system as well as its
chaos control and synchronization. The phase diagrams of the above system are plotted and …

On the adaptive sliding mode controller for a hyperchaotic fractional-order financial system

A Hajipour, M Hajipour, D Baleanu - Physica A: Statistical Mechanics and …, 2018 - Elsevier
This manuscript mainly focuses on the construction, dynamic analysis and control of a new
fractional-order financial system. The basic dynamical behaviors of the proposed system are …

A new hyperchaotic temperature fluctuations model, its circuit simulation, FPGA implementation and an application to image encryption

S Vaidyanathan, AT Azar… - … of Simulation and …, 2018 - inderscienceonline.com
In this paper, we propose a new hyperchaotic temperature fluctuations model and describe
its modelling in detail. We study the characteristics of the new hyperchaotic temperature …

A novel chaotic system with boomerang-shaped equilibrium, its circuit implementation and application to sound encryption

S Mobayen, S Vaidyanathan, A Sambas… - Iranian Journal of …, 2019 - Springer
In the chaos literature, there has been much attention paid to chaotic systems with
uncountable equilibrium points such as systems with line equilibrium, curve equilibrium …

A memristor-based system with hidden hyperchaotic attractors, its circuit design, synchronisation via integral sliding mode control and an application to voice …

S Vaidyanathan, AT Azar, A Akgul… - … of Automation and …, 2019 - inderscienceonline.com
A memristor-based system with hyperchaos and hidden attractors is introduced in this
research work. The proposed four-dimensional memristor-based system exhibits both line …