Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion: Homoclinic orbits, and self-excited and hidden …

GA Leonov, NV Kuznetsov, TN Mokaev - The European Physical Journal …, 2015 - Springer
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 …

Hidden attractors in dynamical systems

D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov… - Physics Reports, 2016 - Elsevier
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

Hidden extreme multistability in memristive hyperchaotic system

BC Bao, H Bao, N Wang, M Chen, Q Xu - Chaos, Solitons & Fractals, 2017 - Elsevier
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 …

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 …

Recent new examples of hidden attractors

S Jafari, JC Sprott, F Nazarimehr - The European Physical Journal Special …, 2015 - Springer
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 …

Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic dam**

JC Sprott, S Jafari, AJM Khalaf, T Kapitaniak - The European Physical …, 2017 - Springer
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) © …

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 …

S-box based image encryption application using a chaotic system without equilibrium

X Wang, Ü Çavuşoğlu, S Kacar, A Akgul, VT Pham… - Applied Sciences, 2019 - mdpi.com
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 …

[HTML][HTML] Multistable dynamics and control of a new 4D memristive chaotic Sprott B system

R Ramamoorthy, K Rajagopal, GD Leutcho… - Chaos, Solitons & …, 2022 - Elsevier
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 …