A 3-D multi-stable system with a peanut-shaped equilibrium curve: Circuit design, FPGA realization, and an application to image encryption
A new 3-D chaotic dynamical system with a peanut-shaped closed curve of equilibrium
points is introduced in this work. Since the new chaotic system has infinite number of rest …
points is introduced in this work. Since the new chaotic system has infinite number of rest …
Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit
This paper reports a new chaotic system generated from the simplest memristor chaotic
circuit by introducing a simple nonlinear feedback control input. The principal feature of the …
circuit by introducing a simple nonlinear feedback control input. The principal feature of the …
A novel modular approach based substitution-box design for image encryption
In modern-day block ciphers, the role of substitution-boxes is to transform the plaintext data
nonlinearly to generate ciphertext data with sufficient confusion. It has been well-confirmed …
nonlinearly to generate ciphertext data with sufficient confusion. It has been well-confirmed …
An extremely simple chaotic system with infinitely many coexisting attractors
The discovery of simple chaotic systems with complex dynamics has always been an
interesting research work. This brief aims to construct an extremely simple chaotic system …
interesting research work. This brief aims to construct an extremely simple chaotic system …
Chaos in analog electronic circuits: Comprehensive review, solved problems, open topics and small example
J Petrzela - Mathematics, 2022 - mdpi.com
This paper strives to achieve a comprehensive review of chaos in analog circuits and
lumped electronic networks. Readers will be guided from the beginning of the investigations …
lumped electronic networks. Readers will be guided from the beginning of the investigations …
A unified chaotic system with various coexisting attractors
Q Lai - International Journal of Bifurcation and Chaos, 2021 - World Scientific
This article presents a unified four-dimensional autonomous chaotic system with various
coexisting attractors. The dynamic behaviors of the system are determined by its special …
coexisting attractors. The dynamic behaviors of the system are determined by its special …
An innovative design of substitution-boxes using cubic polynomial mapping
In this paper, we propose to present a novel technique for designing cryptographically
strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial …
strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial …
A new scheme for solving a fractional differential equation and a chaotic system
The subject of this study is the solution of a fractional Bernoulli equation and a chaotic
system by using a novel scheme for the fractional derivative and comparison of approximate …
system by using a novel scheme for the fractional derivative and comparison of approximate …
Dynamic analysis of a new two-dimensional map in three forms: integer-order, fractional-order and improper fractional-order
C Ma, J Mou, P Li, T Liu - The European Physical Journal Special Topics, 2021 - Springer
In this paper, a new 2-dimensional chaotic map with a simple algebraic form is proposed.
And the numerical solution of the corresponding fractional-order map is derived. It is novel …
And the numerical solution of the corresponding fractional-order map is derived. It is novel …
Coexistence of periodic, chaotic and hyperchaotic attractors in a system consisting of a duffing oscillator coupled to a van der Pol oscillator
ST Tanekou, J Ramadoss, J Kengne… - … Journal of Bifurcation …, 2023 - World Scientific
Undoubtedly, multistability represents one of the most followed venues for researchers
working in the field of nonlinear science. Multistability refers to the situation where a …
working in the field of nonlinear science. Multistability refers to the situation where a …