Results 321 to 330 of about 2,912,421 (388)

Local Predictors of Explosive Synchronization with Ordinal Methods. [PDF]

open access: yesEntropy (Basel)
Leyva I   +3 more
europepmc   +1 more source

Discrete Dynamical Systems

2015
So far we have discussed the dynamics of continuous systems. An evolutionary process may also be expressed mathematically as discrete steps in time. Discrete systems are described by maps (difference equations). The composition of map generates the dynamics or flow of a discrete system.
G. Layek
openaire   +3 more sources

Discrete Dynamical Systems

2013
This short chapter presents the mathematics of matrix population models. The first section examines discrete linear systems using scalar notation and computer simulations. The simulations lead to the discovery of an asymptotic growth rate and stage structure, which we can determine by ad hoc methods for systems of only two or three components.
M. Hirsch, S. Smale, R. Devaney
openaire   +3 more sources

Partially-Observed Discrete Dynamical Systems

American Control Conference, 2021
This paper introduces a new signal model called partially-observed discrete dynamical systems (PODDS). This signal model is a special case of the hidden Markov model (HMM), where the state is a vector containing the information of different components of
Mahdi Imani, Seyede Fatemeh Ghoreishi
semanticscholar   +1 more source

Discrete Dynamical Systems [PDF]

open access: possible, 1998
A discrete dynamical system is a system which is discrete in time so we observe its dynamics not continuously but at the given moments of time like in the case of Poincare maps introduced in the previous chapter. The dynamics of discrete dynamical systems is usually simple enough to be explained in details.
Yushu Chen, Andrew Y. T. Leung
openaire   +3 more sources

Periodic Event-Triggered Synchronization for Discrete-Time Complex Dynamical Networks

IEEE Transactions on Neural Networks and Learning Systems, 2021
In this article, we investigate the periodic event-triggered synchronization of discrete-time complex dynamical networks (CDNs). First, a discrete-time version of periodic event-triggered mechanism (ETM) is proposed, under which the sensors sample the ...
Sanbo Ding, Zhanshan Wang, Xiangpeng Xie
semanticscholar   +1 more source

Symmetries of discrete dynamical systems

Journal of Mathematical Physics, 1996
Differential–difference equations of the form ün=Fn(t,un−1,un,un+1) are classified according to their continuous Lie point symmetry groups. It is shown that for nonlinear equations, the symmetry group can be at most seven-dimensional. The integrable Toda lattice is a member of this class and has a four-dimensional symmetry group.
LEVI, Decio, Winternitz P.
openaire   +2 more sources

Chaos in nonautonomous discrete Dynamical Systems Approached by their induced Systems

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2012
A nonautonomous discrete dynamical system is generated by a given sequence of maps. Its induced system is introduced. It is generated by a sequence of maps that are partial compositions of the given sequence of maps in the original order so that every ...
Yuming Shi
semanticscholar   +1 more source

Discrete Dynamical Systems and Chaotic Machines: Theory and Applications

, 2013
For computer scientists, especially those in the security field, the use of chaos has been limited to the computation of a small collection of famous but unsuitable maps that offer no explanation of why chaos is relevant in the considered contexts ...
Xml, in Scientific, J. Bahi, C. Guyeux
semanticscholar   +1 more source

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