Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion: Homoclinic orbits, and self-excited and hidden …
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 …
equations. We considered the example of a Lorenz-like system derived from the well-known …
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 …
Hidden extreme multistability in memristive hyperchaotic system
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 …
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 …
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 …
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 …
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 …
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
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 …
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
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 …
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
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 …
chaos-based engineering applications. In this study, since homoclinic and heteroclinic orbits …