Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion: Homoclinic orbits, and self-excited and hidden …

GA Leonov, NV Kuznetsov, TN Mokaev - The European Physical Journal …, 2015 - Springer
In this paper, we discuss self-excited and hidden attractors for systems of differential
equations. We considered the example of a Lorenz-like system derived from the well-known …

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 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 …

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 …

Hidden attractors and multistability in a modified Chua's circuit

N Wang, G Zhang, NV Kuznetsov, H Bao - Communications in Nonlinear …, 2021 - Elsevier
The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua's
system with a special Chua's diode. But designing such physical Chua's circuit is a …

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 …

Variable-boostable chaotic flows

C Li, JC Sprott - Optik, 2016 - Elsevier
A new regime of chaotic flows is explored in which one of the variables has the freedom of
offset boosting. By a single introduced constant, the DC offset of the variable can be boosted …

Coexistence of hidden chaotic attractors in a novel no-equilibrium system

VT Pham, C Volos, S Jafari, T Kapitaniak - Nonlinear Dynamics, 2017 - Springer
Hidden attractors have received considerable interest in physics, mechanics and other
dynamical areas recently. This paper introduces a novel autonomous system with hidden …

Coexisting infinitely many attractors in active band-pass filter-based memristive circuit

B Bao, T Jiang, Q Xu, M Chen, H Wu, Y Hu - Nonlinear Dynamics, 2016 - Springer
This paper presents an inductor-free memristive circuit, which is implemented by linearly
coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter …

Infinite multistability in a self-reproducing chaotic system

C Li, JC Sprott, W Hu, Y Xu - International Journal of Bifurcation and …, 2017 - World Scientific
Multistability exists in various regimes of dynamical systems and in different combinations,
among which there is a special one generated by self-reproduction. In this paper, we …