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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 …
An image encryption algorithm based on a hidden attractor chaos system and the Knuth–Durstenfeld algorithm
SC Wang, CH Wang, C Xu - Optics and Lasers in Engineering, 2020 - Elsevier
Chaotic systems have been widely applied in digital image encryption due to their complex
properties such as ergodicity, pseudo randomness and extreme sensitivity to their initial …
properties such as ergodicity, pseudo randomness and extreme sensitivity to their initial …
Recent new examples of hidden attractors
Hidden attractors represent a new interesting topic in the chaos literature. These attractors
have a basin of attraction that does not intersect with small neighborhoods of any …
have a basin of attraction that does not intersect with small neighborhoods of any …
A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a …
Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic …
special features. This paper presents a novel fractional-order four-dimensional chaotic …
Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic dam**
Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced
oscillator with spatially-perio Page 1 Eur. Phys. J. Special Topics 226, 1979–1985 (2017) © …
oscillator with spatially-perio Page 1 Eur. Phys. J. Special Topics 226, 1979–1985 (2017) © …
Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors
Q Lai, B Norouzi, F Liu - Chaos, Solitons & Fractals, 2018 - Elsevier
This paper introduces an extended Lü system with coexisting attractors. The number and
stability of equilibria are determined. The coexisting attractors of the system are displayed by …
stability of equilibria are determined. The coexisting attractors of the system are displayed by …
S-box based image encryption application using a chaotic system without equilibrium
Chaotic systems without equilibrium are of interest because they are the systems with
hidden attractors. A nonequilibrium system with chaos is introduced in this work. Chaotic …
hidden attractors. A nonequilibrium system with chaos is introduced in this work. Chaotic …
[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 …