Sugirwo (2014) Analisis Dinamik Model Siklus Bisnis Is-Lm (Investment Saving-Liquidity Money) Dengan Advance Time Sebagai Antisipasi Stok Modal. Sarjana thesis, Universitas Brawijaya.
Abstract
Model siklus bisnis IS-LM dengan tambahan advance time pada fungsi investasi diformulasikan dalam bentuk sistem otonomus linear dengan tiga variabel tak bebas, yang menyatakan laju pendapatan, stok modal, dan suku bunga. Advance time merupakan perkembangan model siklus bisnis IS-LM dengan waktu tunda. Pemberian advance time pada fungsi investasi ini bermanfaat bagi pelaku ekonomi makro dalam mengantisipasi stok modal di masa yang akan datang. Analisis dinamik meliputi penentuan titik kesetimbangan, kestabilan titik kesetimbangan, pengaruh advance time terhadap model, dan nilai kritis tundaan yang memenuhi kondisi transversal dihadirkan dalam pembahasan. Adanya nilai kritis tundaan yang memenuhi kondisi transversal menyebabkan terjadinya bifurkasi Hopf. Simulasi numerik diberikan untuk mendukung hasil analisis.
English Abstract
IS-LM business cycle model with an additional advance time in the investment function is formulated in a linear autonomous system with three dependent variables, which represent the income, the capital stock, and the interest rate. The advance time is given for development of the delayed business cycle model. The additional advance time in the investment function is a benefit for businessman in macroeconomy to anticipate the capital stock at the future. Dynamical analysis such as equilibrium point determination, stability of equilibrium point, the effect of advance time on model and the critical time delay are presented. The existence of critical time delay that satisfies transversal condition causes Hopf bifurcation. Numerical simulation is given to support the analysis result.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2014/374/051406699 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Budi Wahyono Wahyono |
| Date Deposited: | 04 Nov 2014 10:49 |
| Last Modified: | 21 Oct 2021 06:22 |
| URI: | http://repository.ub.ac.id/id/eprint/154012 |
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