FPGA realization of a chaotic communication system applied to image processing

E Tlelo-Cuautle, VH Carbajal-Gomez… - Nonlinear …, 2015 - Springer
The hardware realization of a chaotic communication system from the description of
continuous-time multi-scroll chaotic oscillators is introduced herein by using field …

Infinite coexisting attractors in an autonomous hyperchaotic megastable oscillator and linear quadratic regulator-based control and synchronization

P Alexander, S Emiroğlu, S Kanagaraj, A Akgul… - The European Physical …, 2023 - Springer
The coexistence of different attractors with fixed parameters affords versatility in the
performance of the dynamical system. As a result, recent research has focused on defining …

Chaotic attractors based on unstable dissipative systems via third-order differential equation

E Campos-Cantón - International Journal of Modern Physics C, 2016 - World Scientific
In this paper, we present an approach how to yield 1D, 2D and 3D-grid multi-scroll chaotic
systems in R 3 based on unstable dissipative systems via third-order differential equation …

Multistable Systems with Hidden and Self‐Excited Scroll Attractors Generated via Piecewise Linear Systems

RJ Escalante-González, E Campos - Complexity, 2020 - Wiley Online Library
In this work, we present an approach to design a multistable system with one‐directional
(1D), two‐directional (2D), and three‐directional (3D) hidden multiscroll attractor by defining …

A new megastable chaotic oscillator with blinking oscillation terms

D Veeman, H Natiq, NMG Al-Saidi, K Rajagopal… - …, 2021 - Wiley Online Library
Recently, megastable systems have grabbed many researchers' interests in the area of
nonlinear dynamics and chaotic systems. In this paper, the oscillatory terms' coefficients of …

Hopf bifurcation, antimonotonicity and amplitude controls in the chaotic Toda jerk oscillator: analysis, circuit realization and combination synchronization in its …

JR Mboupda Pone, ST Kingni, GR Kol, VT Pham - Automatika, 2019 - Taylor & Francis
In this paper, an autonomous Toda jerk oscillator is proposed and analysed. The
autonomous Toda jerk oscillator is obtained by converting an autonomous two-dimensional …

Generation of chaotic attractors without equilibria via piecewise linear systems

RJ Escalante-González… - International Journal of …, 2017 - World Scientific
In this paper, we present a mechanism of generation of a class of switched dynamical
system without equilibrium points that generates a chaotic attractor. The switched dynamical …

Emergence of Hidden Attractors through the Rupture of Heteroclinic‐Like Orbits of Switched Systems with Self‐Excited Attractors

RJ Escalante-González, E Campos - Complexity, 2021 - Wiley Online Library
This work is dedicated to the study of an approach that allows the generation of hidden
attractors based on a class of piecewise‐linear (PWL) systems. The systems produced with …

A new guardian map and boundary theorems applied to the stabilization of initialized fractional control systems

JA López‐Rentería… - … Methods in the …, 2022 - Wiley Online Library
In the present work, some generalizations of the boundary crossing theorem and the zero
exclusion principle are given for fractional order initialized systems. A new guardian map for …

Nonisotropic chaotic vibrations of a 2D hyperbolic PDE

Q Xiang, Q Yang - Chaos: An Interdisciplinary Journal of Nonlinear …, 2020 - pubs.aip.org
Little seems to be known about the chaos of the two-dimensional (2D) hyperbolic partial
differential equations (PDEs). The objective of this paper is to study the nonisotropic chaotic …