A review of chaotic systems based on memristive Hopfield neural networks
Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic
systems with complex dynamics has been a research hotspot in the field of chaos. Recently …
systems with complex dynamics has been a research hotspot in the field of chaos. Recently …
Hidden attractors in dynamical systems
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …
engineering applications typically have many coexisting attractors. This property of the …
Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation
Electromagnetic induction current is generated between the adjacent neurons in neural
network caused by the existence of membrane potential difference. Memristor is the fourth …
network caused by the existence of membrane potential difference. Memristor is the fourth …
A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation
The definition of fractional calculus is introduced into a 3D multi-attribute chaotic system in
this paper. The fractional multi-attribute chaotic system (FMACS) numerical solution is …
this paper. The fractional multi-attribute chaotic system (FMACS) numerical solution is …
Lower-dimensional simple chaotic systems with spectacular features
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …
more desirable for practical considerations. Not only can such systems preserve basic …
A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability
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 …
electromagnetic induction is proposed. This memristive HR neuron model exhibits complex …
Hidden attractors in Chua circuit: mathematical theory meets physical experiments
After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …
attractor in numerical simulation of a real physical process, a new scientific direction of …
Theory of hidden oscillations and stability of control systems
NV Kuznetsov - Journal of Computer and Systems Sciences …, 2020 - Springer
The development of the theory of absolute stability, the theory of bifurcations, the theory of
chaos, theory of robust control, and new computing technologies has made it possible to …
chaos, theory of robust control, and new computing technologies has made it possible to …
The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension
On the example of the famous Lorenz system, the difficulties and opportunities of reliable
numerical analysis of chaotic dynamical systems are discussed in this article. For the Lorenz …
numerical analysis of chaotic dynamical systems are discussed in this article. For the Lorenz …
Phase synchronization between two neurons induced by coupling of electromagnetic field
J Ma, L Mi, P Zhou, Y Xu, T Hayat - Applied Mathematics and Computation, 2017 - Elsevier
Based on an improved neuron model with electromagnetic induction being considered, the
phase synchronization approaching is investigated on a four-variable Hindmarsh–Rose …
phase synchronization approaching is investigated on a four-variable Hindmarsh–Rose …