Dynamics analysis, FPGA realization and image encryption application of a 5D memristive exponential hyperchaotic system

F Yu, S Xu, X Xiao, W Yao, Y Huang, S Cai, B Yin, Y Li - Integration, 2023 - Elsevier
The exponential function is one of the basic elementary functions, which plays an
irreplaceable role in mathematics and is also widely used in practical activities such as life …

A new multi-scroll Chua's circuit with composite hyperbolic tangent-cubic nonlinearity: Complex dynamics, Hardware implementation and Image encryption …

F Yu, H Shen, Z Zhang, Y Huang, S Cai, S Du - Integration, 2021 - Elsevier
In this paper, a new method for generating multi-scroll chaotic attractors via constructing a
compound hyperbolic tangent-cubic nonlinear function in canonical Chua's circuit is …

Chaotic flows with special equilibria

Z Wang, Z Wei, K Sun, S He, H Wang, Q Xu… - The European Physical …, 2020 - Springer
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …

A new discrete-space chaotic map based on the multiplication of integer numbers and its application in S-box design

D Lambić - Nonlinear Dynamics, 2020 - Springer
In this paper, a new one-dimensional discrete-space chaotic map based on the
multiplication of integer numbers and circular shift is presented. Dynamical properties of the …

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a …

H Jahanshahi, A Yousefpour, JM Munoz-Pacheco… - Applied Soft …, 2020 - Elsevier
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 …

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 …

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

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) © …

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 …

Design of pseudorandom number generator based on a controllable multi-double-scroll chaotic system

H Peng, M Ji'e, X Du, S Duan, L Wang - Chaos, Solitons & Fractals, 2023 - Elsevier
The generation, implementation, and application of multi-scroll chaotic systems have been
extensively studied due to their complex dynamic behaviors. This paper introduces a new …

Capacitive coupling memristive systems for energy balance

C Wang, G Sun, F Yang, J Ma - AEU-International Journal of Electronics …, 2022 - Elsevier
The dynamics of a memristive system is dependent on the initial values and thus the
threshold of coupling intensity for synchronization approach becomes unknown and …