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 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 …
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 …
Theory of hidden oscillations and stability of control systems
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
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
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 …