Simple chaotic flows with a curve of equilibria
Using a systematic computer search, four simple chaotic flows with cubic nonlinearities were
found that have the unusual feature of having a curve of equilibria. Such systems belong to a …
found that have the unusual feature of having a curve of equilibria. Such systems belong to a …
Coexisting infinite equilibria and chaos
Equilibria are a class of attractors that host inherent stability in a dynamic system. Infinite
number of equilibria and chaos sometimes coexist in a system with some connections …
number of equilibria and chaos sometimes coexist in a system with some connections …
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 …
Generating grid chaotic sea from system without equilibrium point
The dynamical system without equilibrium point is considered having hidden dynamics. It is
relatively difficult to locate the attractor in the state space as its attraction basin has nothing …
relatively difficult to locate the attractor in the state space as its attraction basin has nothing …
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) © …
Chaotic dynamics in a neural network with different types of external stimuli
H Lin, C Wang, W Yao, Y Tan - Communications in Nonlinear Science and …, 2020 - Elsevier
Biological nervous system is very sensitive to external disturbances, and appropriate
stimulus is beneficial for improving neural function in the neural system. In this paper, the …
stimulus is beneficial for improving neural function in the neural system. In this paper, the …
A novel no‐equilibrium hyperchaotic multi‐wing system via introducing memristor
L Zhou, C Wang, L Zhou - International Journal of Circuit …, 2018 - Wiley Online Library
In this paper, a new multi‐wing chaotic attractor is constructed. Based on the proposed multi‐
wing system, the paper presents a novel method to generate hyperchaotic multi‐wing …
wing system, the paper presents a novel method to generate hyperchaotic multi‐wing …
Generating any number of diversified hidden attractors via memristor coupling
Memristors are widely used to construct multi-scroll/wing chaotic systems with complex
dynamics. However, the generation of a multi-scroll/wing attractor is typically not induced by …
dynamics. However, the generation of a multi-scroll/wing attractor is typically not induced by …
Generating one to four-wing hidden attractors in a novel 4D no-equilibrium chaotic system with extreme multistability
S Zhang, Y Zeng, Z Li, M Wang, L **ong - Chaos: An Interdisciplinary …, 2018 - pubs.aip.org
By using a simple state feedback controller in a three-dimensional chaotic system, a novel
4D chaotic system is derived in this paper. The system state equations are composed of nine …
4D chaotic system is derived in this paper. The system state equations are composed of nine …
Simple chaotic 3D flows with surfaces of equilibria
Using a systematic computer search, twelve simple three-dimensional chaotic flows were
found that have surfaces of equilibria. Although there are some four-dimensional systems …
found that have surfaces of equilibria. Although there are some four-dimensional systems …