Lower-dimensional simple chaotic systems with spectacular features
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …
more desirable for practical considerations. Not only can such systems preserve basic …
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 …
Modeling attractors of chaotic dynamical systems with fractal–fractional operators
A Atangana, S Qureshi - Chaos, solitons & fractals, 2019 - Elsevier
In this paper, newly proposed differential and integral operators called the fractal–fractional
derivatives and integrals have been used to predict chaotic behavior of some attractors from …
derivatives and integrals have been used to predict chaotic behavior of some attractors from …
New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG
A new 4D chaotic system with self-excited attractors or hidden attractors is designed and the
generation of self-excited attractors and hidden attractors depends on the parameters of the …
generation of self-excited attractors and hidden attractors depends on the parameters of the …
A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation
The definition of fractional calculus is introduced into a 3D multi-attribute chaotic system in
this paper. The fractional multi-attribute chaotic system (FMACS) numerical solution is …
this paper. The fractional multi-attribute chaotic system (FMACS) numerical solution is …
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 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 and multistability in a modified Chua's circuit
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 …
system with a special Chua's diode. But designing such physical Chua's circuit is a …
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 …
Simple chaotic flows with a line equilibrium
Using a systematic computer search, nine simple chaotic flows with quadratic nonlinearities
were found that have the unusual feature of having a line equilibrium. Such systems belong …
were found that have the unusual feature of having a line equilibrium. Such systems belong …