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 …
[HTML][HTML] On differences and similarities in the analysis of Lorenz, Chen, and Lu systems
Currently it is being actively discussed the question of the equivalence of various Lorenz-like
systems and the possibility of universal consideration of their behavior (Algaba et al., 2013a …
systems and the possibility of universal consideration of their behavior (Algaba et al., 2013a …
2D Sine Logistic modulation map for image encryption
Because of the excellent properties of unpredictability, ergodicity and sensitivity to their
parameters and initial values, chaotic maps are widely used in security applications. In this …
parameters and initial values, chaotic maps are widely used in security applications. In this …
Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity
In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is
considered. It is shown numerically that this system, like the classical Lorenz system …
considered. It is shown numerically that this system, like the classical Lorenz system …
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
The Rabinovich system, describing the process of interaction between waves in plasma, is
considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case …
considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case …
Hyperchaos in a 4D memristive circuit with infinitely many stable equilibria
This paper studies a four-dimensional (4D) memristive system modified from the 3D chaotic
system proposed by Lü and Chen. The new system keeps the symmetry and dissipativity of …
system proposed by Lü and Chen. The new system keeps the symmetry and dissipativity of …
Hidden hyperchaotic attractors in a modified Lorenz–Stenflo system with only one stable equilibrium
Z Wei, W Zhang - International Journal of Bifurcation and Chaos, 2014 - World Scientific
This paper reports the finding of a four-dimensional (4D) non-Sil'nikov autonomous system
with three quadratic nonlinearities, which exhibits some behavior previously unobserved …
with three quadratic nonlinearities, which exhibits some behavior previously unobserved …
Hidden hyperchaotic attractor in a novel simple memristive neural network
Potential applications of memristors in low-power processors, ultra-dense memories,
programmable analog integrated circuits, and especially neural networks, have been …
programmable analog integrated circuits, and especially neural networks, have been …
A new chaotic system with a self-excited attractor: entropy measurement, signal encryption, and parameter estimation
In this paper, we introduce a new chaotic system that is used for an engineering application
of the signal encryption. It has some interesting features, and its successful implementation …
of the signal encryption. It has some interesting features, and its successful implementation …
Hidden attractors in dynamical systems: systems with no equilibria, multistability and coexisting attractors
From a computational point of view it is natural to suggest the classification of attractors,
based on the simplicity of finding basin of attraction in the phase space: an attractor is called …
based on the simplicity of finding basin of attraction in the phase space: an attractor is called …