How to define energy function for memristive oscillator and map

Y Guo, Y Xie, J Ma - Nonlinear Dynamics, 2023 - Springer
During the release and propagation of intracellular and extracellular ions, electromagnetic
field is induced accompanying with propagation of energy flow. The firing mode is …

Experimental observation of hidden Chua's attractor

N Wang, D Xu, NV Kuznetsov, H Bao, M Chen… - Chaos, Solitons & …, 2023 - Elsevier
Eleven years have passed since the discovery of the first chaotic hidden attractor in Chua
system with piecewise-linear nonlinearity. Experimental observation of such attractor is still a …

[HTML][HTML] Pseudo and true singularly degenerate heteroclinic cycles of a new 3D cubic Lorenz-like system

H Wang, G Ke, F Hu, J Pan, Q Su, G Dong, G Chen - Results in Physics, 2024 - Elsevier
In contrast to the coexistence of infinitely many pseudo and true singularly degenerate
heteroclinic cycles with nearby two-scroll hyperchaotic Lorenz-like attractors coined in four …

DC-offset strategy for controlling hidden and multistable behaviors in physical circuits

M Chen, A Wang, H Wu, B Chen… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Analog circuit detection of hidden and multistable dynamics is an intractable problem as
their attraction basins are hard to locate rigorously in analog circuits. This article proposes a …

Generating multiwing hidden chaotic attractors with only stable node-foci: Analysis, implementation, and application

Y Yang, L Huang, NV Kuznetsov… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Based on Shil'nikov criterion, ie, extending the number of unstable saddle-focus-type
equilibria of chaotic system, a rich and varied multiwing chaos with complicated topology …

Generating multi-folded hidden Chua's attractors: Two-case study

N Wang, M Cui, X Yu, Y Shan, Q Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
In recent decades, Chua's attractor has been taken as the classical paradigm for chaos
demonstration, but it still presents some new results one after another. Hidden Chua's …

Multistability and synchronization of discrete maps via memristive coupling

H Bao, K Rong, M Chen, X Zhang, B Bao - Chaos, Solitons & Fractals, 2023 - Elsevier
Due to its internal state, the memristive nonlinearity has different dynamic characteristics
from the traditional resistive nonlinearity. It has been proved that the memristive nonlinearity …

Design and implementation of grid-wing hidden chaotic attractors with only stable equilibria

Y Yang, L Huang, NV Kuznetsov… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Due to complex chaotic characteristics and multistable states, the generation of multi-wing
hidden chaotic attractors shows a new application prospect in chaos-based security …

Effects of coupling memristors on synchronization of two identical memristive Chua's systems

M Chen, W Xue, X Luo, Y Zhang, H Wu - Chaos, Solitons & Fractals, 2023 - Elsevier
As a new type of coupling element, memristor coupler can cause many intricate phenomena
in its coupling network. This paper focuses on the synchronization effects of the …

Saddle-node bifurcation of periodic orbit route to hidden attractors

S Kumarasamy, M Banerjee, V Varshney, MD Shrimali… - Physical Review E, 2023 - APS
Hidden attractors are present in many nonlinear dynamical systems and are not associated
with equilibria, making them difficult to locate. Recent studies have demonstrated methods of …