Lower-dimensional simple chaotic systems with spectacular features

Z Wang, A Ahmadi, H Tian, S Jafari, G Chen - Chaos, Solitons & Fractals, 2023 - Elsevier
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …

Hidden attractors in dynamical systems

D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov… - Physics Reports, 2016 - Elsevier
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

Hidden bursting firings and bifurcation mechanisms in memristive neuron model with threshold electromagnetic induction

H Bao, A Hu, W Liu, B Bao - IEEE transactions on neural …, 2019 - ieeexplore.ieee.org
Memristors can be employed to mimic biological neural synapses or to describe
electromagnetic induction effects. To exhibit the threshold effect of electromagnetic …

Hidden extreme multistability in memristive hyperchaotic system

BC Bao, H Bao, N Wang, M Chen, Q Xu - Chaos, Solitons & Fractals, 2017 - Elsevier
By utilizing a memristor to substitute a coupling resistor in the realization circuit of a three-
dimensional chaotic system having one saddle and two stable node-foci, a novel memristive …

Hidden extreme multistability with hyperchaos and transient chaos in a Hopfield neural network affected by electromagnetic radiation

H Lin, C Wang, Y Tan - Nonlinear Dynamics, 2020 - Springer
Biological nervous system function is closely related to its dynamical behaviors, and some
dynamical phenomena observed in biological systems can be detected in the simplified …

Simple chaotic flows with a line equilibrium

S Jafari, JC Sprott - Chaos, Solitons & Fractals, 2013 - Elsevier
Using a systematic computer search, nine simple chaotic flows with quadratic nonlinearities
were found that have the unusual feature of having a line equilibrium. Such systems belong …

A new chaotic map with dynamic analysis and encryption application in internet of health things

N Tsafack, S Sankar, B Abd-El-Atty, J Kengne… - IEEE …, 2020 - ieeexplore.ieee.org
In this paper, we report an effective cryptosystem aimed at securing the transmission of
medical images in an Internet of Healthcare Things (IoHT) environment. This contribution …

A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability

S Zhang, J Zheng, X Wang, Z Zeng - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, a novel no-equilibrium Hindmarsh-Rose (HR) neuron model with memristive
electromagnetic induction is proposed. This memristive HR neuron model exhibits complex …

Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit

Q Xu, Y Lin, B Bao, M Chen - Chaos, Solitons & Fractals, 2016 - Elsevier
Multiple attractors can be found in many nonlinear dynamical system with multistability.
Recently, experimental attractors with two stable saddle-foci were reported to find in a non …

Multi-scroll hidden attractor in memristive HR neuron model under electromagnetic radiation and its applications

S Zhang, J Zheng, X Wang, Z Zeng - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
This paper aims to propose a novel no-equilibrium Hindmarsh–Rose (HR) neuron model
with memristive electromagnetic radiation effect. Compared with other memristor-based HR …