Scenario of the birth of hidden attractors in the Chua circuit

NV Stankevich, NV Kuznetsov, GA Leonov… - International Journal of …, 2017 - World Scientific
Recently it was shown that in the dynamical model of Chua circuit both the classical self-
excited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua …

Discrete memristor hyperchaotic maps

H Bao, Z Hua, H Li, M Chen… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Regarding as a basic circuit component with special nonlinearity, memristor has been
widely applied in chaotic circuits and neuromorphic circuits. However, discrete memristor …

Asynchronous updating Boolean network encryption algorithm

S Gao, R Wu, X Wang, J Liu, Q Li… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
An asynchronous updating Boolean network is employed to simulate and analyze the gene
expression of a particular tissue or species, revealing the life activity process from a system …

A self-reproduction hyperchaotic map with compound lattice dynamics

Y Li, C Li, S Zhang, G Chen… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, sinusoidal functions are introduced to a discrete map for hyperchaos
generation and attractor self-reproduction. The constructed map shares a unique structure …

Memristive effects on an improved discrete Rulkov neuron model

H Bao, KX Li, J Ma, ZY Hua, Q Xu, BC Bao - Science China Technological …, 2023 - Springer
A change in neuronal-action potential can generate a magnetically induced current during
the release and propagation of intracellular ions. To better characterize the electromagnetic …

Initials-boosted coexisting chaos in a 2-D sine map and its hardware implementation

H Bao, Z Hua, N Wang, L Zhu… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
When chaotic sequences are used in engineering applications, their oscillating amplitudes
need to be adjusted nondestructively. To accommodate this issue, this article presents a …

Sine-transform-based memristive hyperchaotic model with hardware implementation

H Bao, H Li, Z Hua, Q Xu, B Bao - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Memristor is a special nonlinear circuit component with internal state and can lead to
excellent chaos complexity in its constructed discrete system. To enhance the chaos …

Various patterns of coexisting attractors in a hyperchaotic map

H Gu, C Li, Y Li, X Ge, T Lei - Nonlinear Dynamics, 2023 - Springer
A hyperchaotic map with various patterns of coexisting attractors is found by introducing
trigonometric functions. The periodicity of trigonometric functions, as a key factor of …

Memristor-coupled logistic hyperchaotic map

B Bao, K Rong, H Li, K Li, Z Hua… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The continuous memristor models have been applied to various chaotic circuits. However,
the discrete memristor models and their applications to discrete maps haven't attracted much …

Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE

NV Kuznetsov, GA Leonov, MV Yuldashev… - … in Nonlinear Science …, 2017 - Elsevier
During recent years it has been shown that hidden oscillations, whose basin of attraction
does not overlap with small neighborhoods of equilibria, may significantly complicate …