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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 …
A self-reproduction hyperchaotic map with compound lattice dynamics
In this article, sinusoidal functions are introduced to a discrete map for hyperchaos
generation and attractor self-reproduction. The constructed map shares a unique structure …
generation and attractor self-reproduction. The constructed map shares a unique structure …
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 …
Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit
Multiple attractors can be found in many nonlinear dynamical system with multistability.
Recently, experimental attractors with two stable saddle-foci were reported to find in a non …
Recently, experimental attractors with two stable saddle-foci were reported to find in a non …
Variable-boostable chaotic flows
A new regime of chaotic flows is explored in which one of the variables has the freedom of
offset boosting. By a single introduced constant, the DC offset of the variable can be boosted …
offset boosting. By a single introduced constant, the DC offset of the variable can be boosted …
Coexistence of hidden chaotic attractors in a novel no-equilibrium system
Hidden attractors have received considerable interest in physics, mechanics and other
dynamical areas recently. This paper introduces a novel autonomous system with hidden …
dynamical areas recently. This paper introduces a novel autonomous system with hidden …
Coexisting infinitely many attractors in active band-pass filter-based memristive circuit
This paper presents an inductor-free memristive circuit, which is implemented by linearly
coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter …
coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter …
Infinite multistability in a self-reproducing chaotic system
Multistability exists in various regimes of dynamical systems and in different combinations,
among which there is a special one generated by self-reproduction. In this paper, we …
among which there is a special one generated by self-reproduction. In this paper, we …