Stability Analysis of a Levitated Droplet by Using Floquet Multipliers

2000 ◽  
Vol 122 (4) ◽  
pp. 399-408 ◽  
Author(s):  
Bogdan O. Ciocirlan ◽  
Dan B. Marghitu

In this paper, the analysis of the time evolution of a levitated droplet is proposed. The analysis is composed of two parts: in the first part, a nonlinear dynamics approach was considered to calculate quantities characterizing time series data such as attractor dimension or largest Lyapunov exponent. The number of degrees of freedom in the system was also assessed. Based on the results obtained in the first part, Floquet theory was applied in the second part of the analysis to investigate the stability of the system. Data acquired from a levitation instrument developed by Space Power Institute at Auburn University was used to perform the analysis. [S0739-3717(00)01903-6]

Author(s):  
Mihai Dupac ◽  
Dan B. Marghitu ◽  
David G. Beale

Abstract In this paper, a nonlinear dynamics analysis of the simulated data was considered to study the time evolution of an electro-magnetically levitated flexible droplet. The main goals of this work are to study the behavior of the levitated droplet and to investigate its stability. Quantities characterizing time series data such as attractor dimension or largest Lyapunov exponent were computed.


Author(s):  
Bogdan O. Ciocirlan ◽  
Dan B. Marghitu ◽  
David G. Beale ◽  
Ruel A. Overfelt

Abstract In this paper, a nonlinear dynamics approach for analyzing the time evolution of an electromagnetically levitated droplet is proposed. The analysis was performed on the experimental data acquired from a levitation instrument developed by Space Power Institute at Auburn University. Several nonlinear dynamics tools were applied in order to reveal whether the time evolution of the droplet is deterministic (periodic, quasiperiodic or chaotic) or random. Quantities characterizing time series data such as the attractor dimension or the largest Lyapunov exponent were computed. It was mainly found that the underlying dynamics of the molten droplet is in fact chaotic.


2008 ◽  
Vol 18 (12) ◽  
pp. 3679-3687 ◽  
Author(s):  
AYDIN A. CECEN ◽  
CAHIT ERKAL

We present a critical remark on the pitfalls of calculating the correlation dimension and the largest Lyapunov exponent from time series data when trend and periodicity exist. We consider a special case where a time series Zi can be expressed as the sum of two subsystems so that Zi = Xi + Yi and at least one of the subsystems is deterministic. We show that if the trend and periodicity are not properly removed, correlation dimension and Lyapunov exponent estimations yield misleading results, which can severely compromise the results of diagnostic tests and model identification. We also establish an analytic relationship between the largest Lyapunov exponents of the subsystems and that of the whole system. In addition, the impact of a periodic parameter perturbation on the Lyapunov exponent for the logistic map and the Lorenz system is discussed.


2018 ◽  
Vol 5 (1) ◽  
pp. 65
Author(s):  
Ita Rakhmawati ◽  
Suhadi Suhadi

The crisis in 1997 is the image of the high rise in inflation in Indonesia. The phenomenon of inflation when it reached 82.40% (Anas, 2006). The early mid-1998 also experienced a weakening of the rupiah against the dollar. Condition stable economy is the desire of each country in comparison with the state of the economy has always fluctuated. Economic stability will create an atmosphere conducive economy. stable climatic conditions in the expected level of welfare is the purpose in each country. One of the efforts to maintain economic stability is through monetary policy. For example, with economic growth, maintain price stability (inflation), the achievement of the balance of payments and the reduction of unemployment (Natsir, 2008). The stability of the financial system of a country of which reflected their price stability, in the sense that there are a great price that can be harmful to society, both consumers and manufacturers that will damage the joints of the economy. However, the implementation of the policy, Bank Indonesia as the monetary authority uses monetary variables such as interest rates and the money supply to cope with economic shocks such as inflation. Besides the need for the government’s role in maintaining the rupiah to avoid turmoil in the economy. The importance of inflation control based on the consideration that the high inflation and unstable negative impact on socio-economic conditions of society. Among the high inflation will cause a decline in the real income of the community so that the standard of living of the people down and eventually make everyone, especially the poor get poorer. From one of the effects of inflation are so wide will impact people’s demands to meet the needs of more and more difficult. Their continuousprice increases being offset by rising income of the communities, it can make sure the Indonesian state would worsen. As a result many people’s needs can not be met, so many things that must be met by way of credit. The number of community needs that must be met will cause world of opportunities for banks to offer credit readily available to meet the needs. The third object of research above (inflation, poverty, and credit) does affect the stability of the financial system? In this study using secondary data from the Badan Pusat Statistik (BPS) and Bank Indonesia (BI) with time series data from the years 2007-2015. The process of data analysis was performed using OLS regression with Eviews 8.0. Based on research, if only partial test of the poverty variable significantly affect the stability of the financial system amounted to 2,023 with α = 10%. Meanwhile, two other variables (inflation and poverty) is not significant to the stability of the financial systemMeanwhile, two other variables (inflation and poverty) is not significant to the stability of the financial system. While the value of R-Square (0.629900), indicating that the three independent variables / free consisting of inflation, poverty and credit simultaneously have the effect that make the stabilization of the financial system increases or decreases. That is jointly independent variables (inflation, poverty and loans) contributed / effect of 62.9% against the stability of the financial system. The rest is the influence of other factors beyond the three independent variables studied.


2019 ◽  
Vol 14 (2) ◽  
pp. 182-207 ◽  
Author(s):  
Benoît Faye ◽  
Eric Le Fur

AbstractThis article tests the stability of the main hedonic wine price coefficients over time. We draw on an extensive literature review to identify the most frequently used methodology and define a standard hedonic model. We estimate this model on monthly subsamples of a worldwide auction database of the most commonly exchanged fine wines. This provides, for each attribute, a monthly time series of hedonic coefficients time series data from 2003 to 2014. Using a multivariate autoregressive model, we then study the stability of these coefficients over time and test the existence of structural or cyclical changes related to fluctuations in general price levels. We find that most hedonic coefficients are variable and either exhibit structural or cyclical variations over time. These findings shed doubt on the relevance of both short- and long-run hedonic estimations. (JEL Classifications: C13, C22, D44, G11)


2014 ◽  
Vol 571-572 ◽  
pp. 252-257
Author(s):  
Sun Bo Liu ◽  
Ping An Shi ◽  
Lei Wu

Ship sailing at sea is affected by many factors, such as winds, waves and so on, which makes six degrees of freedom motions and thus influences the shipboard arms control, aircraft landing and other operations. In view of the non-linear and non-stationary features of ship motion in waves, a new method based on EMD (Empirical Model Decomposition) and SVM (Support Vector Machine) is presented to predict the ship motion. The EMD is used to decompose the ship motion time series data into several IMFs (intrinsic mode functions) and a residual trend term, which decreases the difficulty of prediction. As the IMF is relatively stationary, but also non-linear, these features are fit to be processed by using SVM. Then the decompositions are used as inputs into SVM to forecast ship motion. The simulation and comparison analysis show that the EMD-SVM prediction model can effectively forecast the ship motion in waves.


2020 ◽  
Vol 5 (1) ◽  
pp. 64
Author(s):  
Dini Hariyanti ◽  
Soeharjoto Soekapdjo

One of the biggest obstacles for countries economic growth compound is inflation. Government attempted to have lower and stable inflation.  Purpose of this research is to determine effect of the global and domestic economy to inflation in Indonesia. Using quarterly time series data from 2009-2018 derived from the Indonesian Economic and Financial Statistics (SEKI), International Financial Statistics (IFS), and Investing. ECM regression model used for this research. For short term, interest rate and exchange rates have positive and significant effect to inflation. But money supply, GDP and oil price not significant, while in long term, interest rate and oil price have positive and significant to inflation, while money supply, GDP and exchange rates are not significant. Government policies are monitoring and anticipating global and domestic fluctuation, by  maintaining  the stability of interest rate and exchange rates, and also using environmentally friendly alternatives resources, in order to reducing dependence on oil. Besides that, government needs to undertake increasing of GDP to maintain people purchasing power and money supply distribution for productive sector which have biggest adding value by utilizing local resources.


2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Ahmad Fatoni

This study aims to analyze the effect of residential property prices and Financing to Value policies on the stability of Islamic Commercial Banks in Indonesia. This study uses secondary data, namely time series data from all Islamic Commercial Banks in Indonesia during the period March 2010 to December 2020. The model used in this study is the Error Correction Model (ECM). The results of the study found that the Residential Property Price Index of small and medium types in the long term has an influence on the stability of Islamic Commercial Banks. However, each of them supports a different hypothesis, namely the collateral value hypothesis and the deviation hypothesis. Meanwhile, it was found that in the long and short term the Financing to Value policy had an influence on the stability of Islamic Commercial Banks in Indonesia. Keywords: Islamic Banking Stability, Property Price, Financing to Value


2019 ◽  
Vol 8 (1) ◽  
pp. 8
Author(s):  
Isfihani Isfihani ◽  
Devi Andriyani

This study aims to determine the effect of inflation and export of palm oil on the economic growth in Indonesia in the short and long term. The data used is the time series data from 1988 to 2016. The data analysis method used is the Auto Regressive Distributed Lagged (ARDL) approach and the analysis tool with the help of Eviews 9. The results of the study show that all stationary variables at the level of first difference and have long-term cointegration. Partially, in the short term analysis shows that inflation has a negative and significant effect on the economic growth, and exports of palm oil have a positive and insignificant effect on the value of economic growth in Indonesia. In the long-term analysis of inflation and export of palm oil has a negative and significant effect on the economic growth in Indonesia. The results of the stability model test show that the model used is stable. The result of the determination coefficient R 2 is 87.40 percent


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