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 …

Hidden attractors in Chua circuit: mathematical theory meets physical experiments

N Kuznetsov, T Mokaev, V Ponomarenko… - Nonlinear …, 2023 - Springer
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 …

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 …

Control of multistability in hidden attractors

PR Sharma, MD Shrimali, A Prasad… - The European Physical …, 2015 - Springer
Hidden attractors have a basin of attraction which is not connected with unstable
equilibrium. Certain systems with hidden attractor show multistability for a range of …

[HTML][HTML] Multistable dynamics and control of a new 4D memristive chaotic Sprott B system

R Ramamoorthy, K Rajagopal, GD Leutcho… - Chaos, Solitons & …, 2022 - Elsevier
This work proposes and investigates the dynamic behavior of a new memristive chaotic
Sprott B system. One of the interesting features of this system is that it has a bias term that …

[HTML][HTML] Dynamical analysis of a new multistable chaotic system with hidden attractor: Antimonotonicity, coexisting multiple attractors, and offset boosting

A Bayani, K Rajagopal, AJM Khalaf, S Jafari… - Physics Letters A, 2019 - Elsevier
Analyzing chaotic systems with coexisting and hidden attractors has been receiving much
attention recently. In this article, we analyze a four dimensional chaotic system which has a …

Multistability in Chua's circuit with two stable node-foci

BC Bao, QD Li, N Wang, Q Xu - Chaos: An Interdisciplinary Journal of …, 2016 - pubs.aip.org
Only using one-stage op-amp based negative impedance converter realization, a simplified
Chua's diode with positive outer segment slope is introduced, based on which an improved …

Chaos-based engineering applications with a 3D chaotic system without equilibrium points

A Akgul, H Calgan, I Koyuncu, I Pehlivan… - Nonlinear dynamics, 2016 - Springer
There has recently been an increase in the number of new chaotic system designs and
chaos-based engineering applications. In this study, since homoclinic and heteroclinic orbits …