Symbolic Dynamics in Mathematics, Physics, and Engineering

Symbolic Dynamics in Mathematics, Physics, and Engineering

We discuss several applications of symbolic dynamics and topological analysis to problems in mathematics, physics, and engineering, based on a talk presented by Dr. 1. Introduction In September of 1997, Nick Tuullaro discussed some applications of symbolic dynamics to problems in mathematics, physics, and engineering in an IMA Industrial Problems Seminar. This article will discuss some of the a...

A New Approach to Detect Congestive Heart Failure Using Symbolic Dynamics Analysis of Electrocardiogram Signal

The aim of this study is to show that the measures derived from Electrocardiogram (ECG) signals many a time perform better than the same measures obtained from heart rate (HR) signals. A comparison was made to investigate how far the nonlinear symbolic dynamics approach helps to characterize the nonlinear properties of ECG signals and HR signals, and thereby discriminate between normal and cong...

A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics

In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. With the aid of symbolic computation, we choose the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation in mathematical physics with a source to illustrate the validity a...

A New Approach to Detect Congestive Heart Failure Using Symbolic Dynamics Analysis of Electrocardiogram Signal

The aim of this study is to show that the measures derived from Electrocardiogram (ECG) signals many a time perform better than the same measures obtained from heart rate (HR) signals. A comparison was made to investigate how far the nonlinear symbolic dynamics approach helps to characterize the nonlinear properties of ECG signals and HR signals, and thereby discriminate between normal and cong...

Transmission Dynamics of Malaria in Human Host: a Neuro-Fuzzy Approach