Analysis, control and synchronization of a nine-term 3-D novel chaotic system

S Vaidyanathan, AT Azar - Chaos modeling and control systems design, 2015 - Springer
This research work describes a nine-term 3-D novel chaotic system with four quadratic
nonlinearities. First, this work describes the dynamic analysis of the novel chaotic system …

Analysis and control of a 4-D novel hyperchaotic system

S Vaidyanathan, AT Azar - Chaos Modeling and Control Systems Design, 2015 - Springer
Hyperchaotic systems are defined as chaotic systems with more than one positive Lyapunov
exponent. Combined with one null Lyapunov exponent along the flow and one negative …

Controlling chaos in space-clamped FitzHugh–Nagumo neuron by adaptive passive method

XS Luo, B Zhang, YH Qin - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
The space-clamped FitzHugh–Nagumo (SCFHN) neuron exhibits complex chaotic firing
when the amplitude of the external current falls into a certain area. To control the …

Stabilizing control of Hopf bifurcation in the Hodgkin–Huxley model via washout filter with linear control term

L Ding, C Hou - Nonlinear Dynamics, 2010 - Springer
It is a significant issue to control bifurcation because many neuronal diseases have close
relevance to bifurcation of neuron system. Some studies have been done on bifurcation …

Unidirectional synchronization of Hodgkin-Huxley neurons with prescribed performance under transcranial magneto-acoustical simulation

D Liu, S Zhao, X Luo, Y Yuan - Frontiers in neuroscience, 2019 - frontiersin.org
This paper exploits the unidirectional synchronization dynamics of two Hodgkin-Huxley (HH)
neurons under transcranial magneto-acoustical stimulation (TMAS). The major purpose is to …

Various synchronization phenomena in bidirectionally coupled double scroll circuits

CK Volos, IM Kyprianidis, IN Stouboulos - Communications in Nonlinear …, 2011 - Elsevier
In this paper, the various cases of synchronization phenomena investigated in a system of
two bidirectionally coupled double scroll circuits, were studied. Complete synchronization …

Neurocontrol: Methods, models and technologies for manipulating dynamics in the brain

JT Ritt, SN Ching - 2015 American Control Conference (ACC), 2015 - ieeexplore.ieee.org
This paper accompanies a tutorial session at the 2015 American Control Conference, and
provides a survey of emerging technologies and research problems at the boundary …

A new method for chaos control in communication systems

SL Lin, PC Tung - Chaos, Solitons & Fractals, 2009 - Elsevier
With the increasing needs of global communication, the improvement of secure
communication is of vital importance. This study proposes a new scheme for establishing …

Theoretical analysis of the effects of transcranial magneto-acoustical stimulation on neuronal firing rhythm and Ca2+ concentration with Chay neuron model

Y Yuan, N Pang, YD Chen, Y Wang… - Biomedical Physics & …, 2017 - iopscience.iop.org
Transcranial magneto-acoustical stimulation (TMAS) utilizes low-intensity focused
ultrasound and a magnetostatic field to generate an electric current in nerve tissue with high …

Synchronizability of coupled PWL maps

A Polynikis, M di Bernardo, SJ Hogan - Chaos, Solitons & Fractals, 2009 - Elsevier
In this paper we discuss the phenomenon of synchronization of chaotic systems in the case
of coupled piecewise linear (PWL) continuous and discontinuous one-dimensional maps …