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Bifurkasi Hopf Pada Model Siklus Bisnis Investment Saving-Liquidity Money dengan Waktu Tunda Gesti Essa Waldhani
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 2 December 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i2.16726

Abstract

The economy is not always good, meaning it experiences ups and downs. This situation requires forecasting. One of which is the Investment Saving-Liquidity Money business cycle model, which was first introduced by Kalecki in 1935 with the assumption that profits will be saved to be used as initial investment capital, thus causing a delay in the investment process (delay time). The addition of time delay in the system of differential equations causes a change in stability at the equilibrium point so that bifurcation occurs. Another modification given to the model is the use of time delays. The model analyzed in this study is a non-linear IS-LM business cycle model with time delay. Delay time is required for the gross product, capital, and interest rate to be used as an investment. This model was observed in two cases. First Case is a model without time delay. The second case is a model with a time delay. In this case, the critical value of delay is obtained. Hopf bifurcation occurs when the value of delay time is equal to the critical value of delay and satisfies the transversality condition. Observations on the model simulation are carried out by varying the delay time value. When the Hopf bifurcation occurs, the graph on the solution plane shows a constant oscillatory movement. If the value of delay time given is less than the critical value of delay, the controlled system solution goes to a balanced condition. Then when the delay time value is greater than the critical value of delay, the system solution continues to fluctuate, causing an unstable system condition.
Pelatihan Microsoft Powerpoint bagi Pengurus dan Staf Pengajar TPQ Nurul Jihad Tanjung Priuk Gesti Essa Waldhani; Rahayu Ningsih; Beni Rahmatullah; Suwanda Aditya Saputra
Journal Of Computer Science Contributions (JUCOSCO) Vol. 3 No. 1 (2023): Januari 2023
Publisher : Lembaga Penelitian, Pengabdian kepada Masyarakat dan Publikasi Universitas Bhayangkara Jakarta Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31599/qv9ztz94

Abstract

In the current era, almost all learning requires the use of computer applications. Technological developments, especially computer applications, are currently helping in the manufacture of teaching materials, so that learning can generate new motivation and interest in students. One of them is making teaching materials at TPQ Nurul Jihad which requires supporting applications so that the displayed learning can be understood because currently some of the teaching materials displayed are still using conventional methods, using applications Microsoft Powerpoint in making TPQ teaching materials it is still not maximally used because some TPQ educators still don't understand the use of the applications used, so the service team make training Microsoft Powerpoint. This is intended so that educators are more familiar with the use of the application Microsoft Powerpoint for presentation purposes. The method used in providing education about the use Microsoft Powerpoint is a lecture to provide an explanation of theory and simulation, questions and answers as well as evaluation tests for practical methods. The results of this community service stated that the beginning of the teacher meeting had several obstacles in moving and changing sizes text box as well as shape because they are not used to using the laptop keypad. However, after being guided by the service team, these obstacles were minimized until finally the educators were able to work with text and shape. So, it can be said that this service goes according to the target of the service team.