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A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks

open access: yesMathematics, 2023
Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic systems with complex dynamics has been a research hotspot in the field of chaos. Recently, memristive Hopfield neural networks (MHNNs) offer great potential in the design
Hairong Lin   +6 more
doaj   +5 more sources

Synchronization of chaotic systems [PDF]

open access: yesChaos, 2015
We review some of the history and early work in the area of synchronization in chaotic systems. We start with our own discovery of the phenomenon, but go on to establish the historical timeline of this topic back to the earliest known paper. The topic of synchronization of chaotic systems has always been intriguing, since chaotic systems are known to ...
Louis M Pecora   +2 more
exaly   +5 more sources

Dynamics, control, stability, diffusion and synchronization of modified chaotic Colpitts oscillator [PDF]

open access: yesArchives of Control Sciences, 2021
The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour.
Suresh Rasappan, K.A. Niranjan Kumar
doaj   +1 more source

Dynamical properties of a modified chaotic Colpitts oscillator with triangular wave non-linearity [PDF]

open access: yesArchives of Control Sciences, 2023
The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour.
Rasappan Suresh   +5 more
doaj   +1 more source

Chameleon Chaotic Systems With Quadratic Nonlinearities: An Adaptive Finite-Time Sliding Mode Control Approach and Circuit Simulation

open access: yesIEEE Access, 2021
A chameleon chaotic system is a chaotic system in which the chaotic attractor can change between hidden and self-excited attractor depending on the values of parameters.
Saleh Mobayen   +3 more
doaj   +1 more source

Chaotic Systems with Absorption [PDF]

open access: yesPhysical Review Letters, 2013
Motivated by applications in optics and acoustics we develop a dynamical-system approach to describe absorption in chaotic systems. We introduce an operator formalism from which we obtain (i) a general formula for the escape rate $κ$ in terms of the natural conditionally-invariant measure of the system; (ii) an increased multifractality when compared ...
Altmann, Eduardo G.   +2 more
openaire   +4 more sources

Leaking chaotic systems [PDF]

open access: yesReviews of Modern Physics, 2013
Review article, 54 pages, final published ...
Altmann, Eduardo G.   +2 more
openaire   +3 more sources

A high-precision numerical method to simulating the fractional-order EI Nio chaotic systems with Riemann–Liouville fractional derivative

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2023
Chaotic systems arise everywhere in control theory and nonlinear vibration. This paper uses a high-precision numerical approach for capturing chaotic attractors of the fractional EI Ni ñ o chaotic systems.
Ke-Qiang Zhang, Xue-Jun Cao, Yu-Lan Wang
doaj   +1 more source

Performance Analysis of Chaotic Neural Network and Chaotic Cat Map Based Image Encryption

open access: yesSakarya University Journal of Computer and Information Sciences, 2022
Nowadays, chaotic systems are used quite often, especially in image encryption applications. Hypersensitivity to the initial conditions, limited field-changing signs and irregular movements make these systems one of the critical elements in scientific ...
Cihan Karakuzu, Sefa Tunçer
doaj   +1 more source

Realization of a novel chaotic system using coupling dual chaotic system [PDF]

open access: yesOptical and Quantum Electronics, 2021
Abstract This paper establishes coupling between two various chaotic systems for Lorenz and Rössler circuits. The x-dynamics of Lorenz circuit was coupled numerically with the x dynamics of Rössler circuit. As a result of the optical coupling between these two chaotic systems, it has been observed an exceptional variation in the time series and
Salam K. Mousa, Raied K. Jamal
openaire   +2 more sources

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