Results 41 to 50 of about 1,300,042 (313)

Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

open access: yesMathematics, 2022
In this paper, a new six dimensional memristor chaotic system is designed by combining the chaotic system with a memristor. By analyzing the phase diagram of the chaotic attractors, eleven different attractors are found, including a multi-wing attractor ...
Zhenggang Guo, Junjie Wen, Jun Mou
semanticscholar   +1 more source

Outer Topology Network Synchronization Using Chaotic Nodes with Hidden Attractors

open access: yesAxioms, 2023
This paper addresses the synchronization problem in outer topology networks using chaotic nodes with hidden attractors. Specifically, we analyze bidirectionally coupled networks with various inner–outer coupling topologies to identify the optimal ...
Carlos Andrés Villalobos-Aranda   +4 more
doaj   +1 more source

Broken space-time symmetries and mechanisms of rectification of ac fields by nonlinear (non)adiabatic response [PDF]

open access: yes, 2002
We consider low-dimensional dynamical systems exposed to a heat bath and to additional ac fields. The presence of these ac fields may lead to a breaking of certain spatial or temporal symmetries which in turn cause nonzero averages of relevant ...
Denisov, S.   +4 more
core   +2 more sources

Hidden attractors in fundamental problems and engineering models

open access: yes, 2015
Recently a concept of self-excited and hidden attractors was suggested: an attractor is called a self-excited attractor if its basin of attraction overlaps with neighborhood of an equilibrium, otherwise it is called a hidden attractor.
A Kuznetsov   +93 more
core   +1 more source

Escher in the Sky [PDF]

open access: yes, 2015
The cosmological models called $\alpha$-attractors provide an excellent fit to the latest observational data. Their predictions $n_{s} = 1-2/N$ and $r = 12\alpha/N^{2}$ are very robust with respect to the modifications of the inflaton potential.
Kallosh, Renata, Linde, Andrei
core   +2 more sources

Hidden attractors on one path: Glukhovsky-Dolzhansky, Lorenz, and Rabinovich systems

open access: yes, 2017
In this report, by the numerical continuation method we visualize and connect hidden chaotic sets in the Glukhovsky-Dolzhansky, Lorenz and Rabinovich systems using a certain path in the parameter space of a Lorenz-like system.Comment: arXiv admin note ...
Chen, G.   +3 more
core   +1 more source

Coupled Discrete Fractional-Order Logistic Maps

open access: yesMathematics, 2021
This paper studies a system of coupled discrete fractional-order logistic maps, modeled by Caputo’s delta fractional difference, regarding its numerical integration and chaotic dynamics.
Marius-F. Danca   +3 more
doaj   +1 more source

Homoclinic orbit and hidden attractor in the Lorenz-like system describing the fluid convection motion in the rotating cavity

open access: yes, 2014
In this paper a Lorenz-like system, describing the process of rotating fluid convection, is considered. The present work demonstrates numerically that this system, also like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic ...
Kuznetsov, N. V.   +2 more
core   +1 more source

Hidden Attractors in Chaotic Systems with Nonlinear Functions

open access: yesChaos Theory and Applications
In the present work, an interesting mini-review of hidden attractors in dynamical systems with associated nonlinear functions is carried out. Chaotic systems with nonlinear functions often possess hidden attractors due to their inherent complexity. These
Safara Bibi   +4 more
doaj   +1 more source

Finite Time Synchronization for Fractional Order Sprott C Systems with Hidden Attractors

open access: yesComplexity, 2019
Fractional order systems have a wider range of applications. Hidden attractors are a peculiar phenomenon in nonlinear systems. In this paper, we construct a fractional-order chaotic system with hidden attractors based on the Sprott C system. According to
Cui Yan   +3 more
doaj   +1 more source

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