scholarly journals Fuzzy Counter Propagation Neural Network Control for a Class of Nonlinear Dynamical Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Vandana Sakhre ◽  
Sanjeev Jain ◽  
Vilas S. Sapkal ◽  
Dev P. Agarwal
Keyword(s):  
Neural Network ◽  
Dynamical Systems ◽  
Time Series Data ◽  
Nonlinear Dynamical Systems ◽  
Back Propagation ◽  
Network Control ◽  
Series Data ◽  
Nonlinear Dynamical ◽  
Single Output ◽  
Propagation Network

Fuzzy Counter Propagation Neural Network (FCPN) controller design is developed, for a class of nonlinear dynamical systems. In this process, the weight connecting between the instar and outstar, that is, input-hidden and hidden-output layer, respectively, is adjusted by using Fuzzy Competitive Learning (FCL). FCL paradigm adopts the principle of learning, which is used to calculate Best Matched Node (BMN) which is proposed. This strategy offers a robust control of nonlinear dynamical systems. FCPN is compared with the existing network like Dynamic Network (DN) and Back Propagation Network (BPN) on the basis of Mean Absolute Error (MAE), Mean Square Error (MSE), Best Fit Rate (BFR), and so forth. It envisages that the proposed FCPN gives better results than DN and BPN. The effectiveness of the proposed FCPN algorithms is demonstrated through simulations of four nonlinear dynamical systems and multiple input and single output (MISO) and a single input and single output (SISO) gas furnace Box-Jenkins time series data.

scholarly journals Extracting Nonlinear Dynamics from Psychological and Behavioral Time Series Through HAVOK Analysis

2020 ◽  
Author(s):  
Robert Glenn Moulder ◽  
Elena Martynova ◽  
Steven M. Boker
Keyword(s):  
Time Series ◽  
Dynamical Systems ◽  
Time Series Data ◽  
Nonlinear Dynamical Systems ◽  
Series Data ◽  
Alternative View ◽  
Unified Framework ◽  
Nonlinear Dynamical ◽  
Depth Analysis ◽  
Analysis Of Time Series

Analytical methods derived from nonlinear dynamical systems, complexity, and chaos theories offer researchers a framework for in-depth analysis of time series data. However, relatively few studies involving time series data obtained from psychological and behavioral research employ such methods. This paucity of application is due to a lack of general analysis frameworks for modeling time series data with strong nonlinear components. In this article, we describe the potential of Hankel alternative view of Koopman (HAVOK) analysis for solving this issue. HAVOK analysis is a unified framework for nonlinear dynamical systems analysis of time series data. By utilizing HAVOK analysis, researchers may model nonlinear time series data in a linear framework while simultaneously reconstructing attractor manifolds and obtaining a secondary time series representing the amount of nonlinear forcing occurring in a system at any given time. We begin by showing the mathematical underpinnings of HAVOK analysis and then show example applications of HAVOK analysis for modeling time series data derived from real psychological and behavioral studies.

scholarly journals Total asset prediction of the large Indonesian bank using adaptive artificial neural network back-propagation

2018 ◽  
Vol 7 (2.2) ◽  
pp. 75 ◽  
Author(s):  
Fariyanti . ◽  
Iskandar . ◽  
Rheo Malani ◽  
Bedi Suprapty
Keyword(s):  
Neural Network ◽  
Artificial Neural Network ◽  
Time Series Data ◽  
Stock Exchange ◽  
Back Propagation ◽  
Ar Model ◽  
Series Data ◽  
Net Income ◽  
Single Output ◽  
Artificial Neural

The bank is a type of company that acts as the executor of monetary policy and as a guarantor of the stability of the financial system of a country. Total assets are an important aspect for a bank to generate net income. Return on Assets (ROA) is a profitability ratio to measure the ability of a bank in generating profits with all investments owned. This study predicts the total assets of the largest banks in Indonesia, referring to the Indonesia Stock Exchange data from 2005 to 2016. The time series data model used is Autoregressive (AR) model and Multi Input Single Output (MISO) Autoregressive with exogenous input (ARX) model. Adaptive Artificial Neural Network Back-propagation (Adaptive ANN-BP) is used as an approximation model of both models.  

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