Data‐driven performance metrics for neural network learning
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri+2 more
wiley +1 more source
Dynamical properties of direct products of discrete dynamical systems
A natural way for creating new dynamical systems is to consider direct products of already known systems. The paper studies some dynamical properties of direct products of homeomorphisms and diffeomorphisms.
Barinova Marina K., Shustova Evgenia K.
doaj +1 more source
Isospectral integrability analysis of dynamical systems on discrete manifolds [PDF]
It is shown how functional-analytic gradient-holonomic structures can be used for an isospectral integrability analysis of nonlinear dynamical systems on discrete manifolds. The approach developed is applied to obtain detailed proofs of the integrability
Denis Blackmore+2 more
doaj +1 more source
Controlled Discrete-Time Semi-Markov Random Evolutions and Their Applications
In this paper, we introduced controlled discrete-time semi-Markov random evolutions. These processes are random evolutions of discrete-time semi-Markov processes where we consider a control. applied to the values of random evolution.
Anatoliy Swishchuk, Nikolaos Limnios
doaj +1 more source
Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size
Dynamical properties of numerically approximated discrete systems may become inconsistent with those of the corresponding continuous-time system. We present a qualitative analysis of the dynamical properties of two-species Lotka-Volterra and Ricker-type ...
Shamika Kekulthotuwage Don+3 more
doaj +1 more source
Dynamic Characteristics of Four Systems of Difference Equations with Higher Order
In this paper, we explore the global dynamical characteristics, boundedness, and rate of convergence of certain higher-order discrete systems of difference equations.
Abdul Qadeer Khan+2 more
doaj +1 more source
Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: one dimensional cases [PDF]
Stability and bifurcation properties of one-dimensional discrete dynamical systems with positivity, which are derived from continuous ones by tropical discretization, are studied. The discretized time interval is introduced as a bifurcation parameter in the discrete dynamical systems, and emergence condition of an additional bifurcation, flip ...
arxiv +1 more source
We develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and
Vijaysekhar Chellaboina+3 more
doaj +2 more sources
Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System [PDF]
The present investigations focus on the mathematical analysis and investigation of non-autonomous discrete dynamical systems. A non-autonomous discrete dynamical system has been framework using the series technique map method to elaborate the ...
Renu Verma, Ram Yadav
doaj +1 more source
Controlling Chaos for a Fractional-Order Discrete System
In this article two different controllers for the stabilization of a fractional-order discrete system in the left Caputo discrete delta operator sense are given.
Luis Alberto Quezada-Tellez+2 more
doaj +1 more source