Expanded multi-scroll attractor system analysis and application for remote sensing image encryption

M Qin, Q Lai - Applied Mathematical Modelling, 2024 - Elsevier
Exploring special multi-scroll chaotic systems is meaningful work. This paper studies an
expanded multi-scroll chaotic system consisting of eight terms with one nonlinearity. It is …

Multi-scroll chaotic attractors with multi-wing via oscillatory potential wells

G Cheng, D Li, Y Yao, R Gui - Chaos, Solitons & Fractals, 2023 - Elsevier
The oscillatory potential well can cause the mass points in it to move chaotically, which can
be considered as a physical mechanism of chaos generation. Based on this physical …

Multistability in piecewise linear systems versus eigenspectra variation and round function

HE Gilardi-Velázquez, LJ Ontañón-García… - … Journal of Bifurcation …, 2017 - World Scientific
A multistable system generated by Piecewise Linear (PWL) subsystems based on the jerk
equation is presented. The system's behavior is characterized by means of the Nearest …

A two-directional grid multiscroll hidden attractor based on piecewise linear system and its application in pseudo-random bit generator

JR Pulido-Luna, JA López-Rentería… - Integration, 2021 - Elsevier
In this work, we present a methodology to design dynamical systems that display two-
directional grid multiscroll hidden attractors. Self-excited attractors based on piecewise …

Multi-scroll in bidirectional coupling schemes of two second-order non-oscillatory systems: theoretical analysis and PSpice implementation

HD Mekak-egong, LK Kemgang… - International Journal of …, 2024 - Springer
In this study, we provide a way to generate multi-scroll dynamics between two second-order
non-oscillatory systems just through a bidirectional coupling between the subsystems …

Hyperchaotic encryption based on multi-scroll piecewise linear systems

M García-Martínez, LJ Ontañón-García… - Applied Mathematics …, 2015 - Elsevier
A hyperchaotic multi-scroll piecewise linear system in R 4 is binarized to generate a pseudo-
random sequence which encrypt a grayscale image via symmetric-key algorithm. The …

On multistability behavior of unstable dissipative systems

A Anzo-Hernández, HE Gilardi-Velázquez… - … Journal of Nonlinear …, 2018 - pubs.aip.org
We present dissipative systems with unstable dynamics called the unstable dissipative
systems which are capable of generating a multi-stable behavior, ie, depending on its initial …

Attractors generated from switching unstable dissipative systems

E Campos-Cantón, R Femat, G Chen - Chaos: An Interdisciplinary …, 2012 - pubs.aip.org
In this paper, we present a class of 3-D unstable dissipative systems, which are stable in two
components but unstable in the other one. This class of systems is motivated by whirls …

Multistability emergence through fractional-order-derivatives in a PWL multi-scroll system

JL Echenausía-Monroy, G Huerta-Cuellar… - Electronics, 2020 - mdpi.com
In this paper, the emergence of multistable behavior through the use of fractional-order-
derivatives in a Piece-Wise Linear (PWL) multi-scroll generator is presented. Using the …

H∞ model predictive control for discrete-time switched linear systems with application to drinking water supply network

M Benallouch, G Schutz, D Fiorelli… - Journal of Process Control, 2014 - Elsevier
This paper investigates the problem of a mixed H 2/H∞ model predictive control (MPC) for a
class of discrete-time switched linear systems in the presence of constraints on the states …