scholarly journals MARKOV MODELS FOR THE ANALYSIS OF DYNAMICAL SYSTEMS

2017 ◽  
Vol 16 (1) ◽  
pp. 35-49
Author(s):  
A. A. AKINTUNDE ◽  
S. O.N AGWUEGBO ◽  
O. M. OLAYIWOLA
Keyword(s):  
Exchange Rate ◽  
Dynamical Systems ◽  
Markov Models ◽  
Effective Means ◽  
Kolmogorov Equation ◽  
State Variables ◽  
Stationary Probability Distribution ◽  
Signal Model ◽  
State Space Approach ◽  
Space Approach

Most real world situations involve modelling of physical processes that evolve with time and space, especially those exhibiting high variability. Such events that have to flow with time or space are called dynamical systems. The mathematical notions of a dynamical system serves to depict the flow of causation from past into future (Kalman 1960). In this study, Markov model which is a signal model based on the Markovian property with state space approach was adopted for the analysis of dynamical systems. The Nigerian monetary exchange rate data was used in the application with the use of R statistical software package. The study incorporated the Chapman-Kolmogorov equation in the construction of absolute limiting distribution of the system via the state variables. The procedure gives an easy and effective means of analysing complex and time varying dynamical systems. The study showed that the Nigerian monetary exchange rate is ergodic with stationary probability distribution.  

GENERALIZED THEORY OF MAGNETO-THERMO-VISCOELASTIC SPHERICAL CAVITY PROBLEM UNDER FRACTIONAL ORDER DERIVATIVE: STATE SPACE APPROACH

2020 ◽  
Vol 9 (11) ◽  
pp. 9769-9780
Author(s):  
S.G. Khavale ◽  
K.R. Gaikwad
Keyword(s):  
State Space ◽  
Fractional Order ◽  
Order Derivative ◽  
Laplace Inversion ◽  
State Space Approach ◽  
Spherical Region ◽  
Fractional Order Derivative ◽  
Numerical Laplace Inversion ◽  
Mathcad Software ◽  
Space Approach

This paper is dealing the modified Ohm's law with the temperature gradient of generalized theory of magneto-thermo-viscoelastic for a thermally, isotropic and electrically infinite material with a spherical region using fractional order derivative. The general solution obtained from Laplace transform, numerical Laplace inversion and state space approach. The temperature, displacement and stresses are obtained and represented graphically with the help of Mathcad software.

scholarly journals A Bayesian State-Space Approach to Mapping Directional Brain Networks

2020 ◽  
pp. 1-24
Author(s):  
Huazhang Li ◽  
Yaotian Wang ◽  
Guofen Yan ◽  
Yinge Sun ◽  
Seiji Tanabe ◽  
...  
Keyword(s):  
State Space ◽  
Brain Networks ◽  
State Space Approach ◽  
Space Approach
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