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 …
field is induced accompanying with propagation of energy flow. The firing mode is …
Experimental observation of hidden Chua's attractor
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 …
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 …
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
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 …
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 …
equilibria of chaotic system, a rich and varied multiwing chaos with complicated topology …
Generating multi-folded hidden Chua's attractors: Two-case study
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 …
demonstration, but it still presents some new results one after another. Hidden Chua's …
Multistability and synchronization of discrete maps via memristive coupling
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 …
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 …
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
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 …
in its coupling network. This paper focuses on the synchronization effects of the …
Saddle-node bifurcation of periodic orbit route to hidden attractors
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 …
with equilibria, making them difficult to locate. Recent studies have demonstrated methods of …