Results 71 to 80 of about 25,093,086 (249)

The Time Series Classification of Discrete-Time Chaotic Systems Using Deep Learning Approaches

open access: yesMathematics
Discrete-time chaotic systems exhibit nonlinear and unpredictable dynamic behavior, making them very difficult to classify. They have dynamic properties such as the stability of equilibrium points, symmetric behaviors, and a transition to chaos.
Ömer Faruk Akmeşe   +4 more
doaj   +1 more source

The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output

open access: yesComplexity, 2018
This paper investigates the stabilization and synchronization of a class of fractional-order chaotic systems which are affected by external disturbances. The chaotic systems are assumed that only a single output can be used to design the controller.
Runzi Luo, Haipeng Su
doaj   +1 more source

An Approach for the Generation of an Nth-Order Chaotic System with Hyperbolic Sine

open access: yesEntropy, 2018
Chaotic systems with hyperbolic sine nonlinearity have attracted the attention of researchers in the last two years. This paper introduces a new approach for generating a class of simple chaotic systems with hyperbolic sine.
Jizhao Liu   +4 more
doaj   +1 more source

A Chaotic Dynamical System that Paints

open access: yesCoRR, 2015
Four movies have been uploaded in the ancillary folder.
Tuhin Sahai, George Mathew, Amit Surana
openaire   +2 more sources

Chaotic Attributes and Permutative Optimization

open access: yes, 2016
Population dynamics and its relation to chaotic systems is analyzed in this Chapter. Using basic chaotic principles of attractors and edges, a dynamic population is developed, which is used to induce and retain diversity in a metaheuristic population ...
Zelinka, Ivan   +2 more
core  

Stochastic webs and quantum transport in superlattices : an introductory review. [PDF]

open access: yes, 2009
Stochastic webs were discovered, first by Arnold for multi-dimensional Hamiltonian systems, and later byChernikov et al. for the low-dimensional case. Generated by weak perturbations, they consist of thread-like regions of chaotic dynamics in phase space.
Khovanov, I. A.   +10 more
core   +1 more source

Beyond Chaos in Fractional-Order Systems: Keen Insight in the Dynamic Effects

open access: yesFractal and Fractional
Fractional calculus (or arbitrary order calculus) refers to the integration and derivative operators of an order different than one and was developed in 1695.
José Luis Echenausía-Monroy   +10 more
doaj   +1 more source

Localization in strongly chaotic systems [PDF]

open access: yesJournal of Physics A: Mathematical and General, 1997
We show that, in the semiclassical limit and whenever the elements of the Hamiltonian matrix are random enough, the eigenvectors of strongly chaotic time-independent systems in ordered bases can on average be exponentially localized across the energy shell and decay faster than exponentially outside the energy shell.
openaire   +3 more sources

Modified chaotic shift keying using indirect coupled chaotic synchronization for secure digital communication

open access: yes, 2010
In this paper, a modified chaotic shift keying method is proposed to transmit digital bits securely over a communication channel. The scheme is based upon encrypting the digital bits 0 and 1 into infinite levels by applying the keystream such that there
Ghassemlooy, Zabih   +5 more
core  

On the role of invariants for the parameter estimation problem in Hamiltonian systems

open access: yes, 1993
Baake M, Baake E, Eich E. On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters. 1993;180(1-2):74-82.The parameter estimation problem is discussed for differential equations that describe a Hamiltonian ...
Baake, Michael, Baake, Ellen, Eich, E.
core   +1 more source

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