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All Journal Natural Science: Journal of Science and Technology Jurnal Ilmu Dasar Prosiding Seminar Matematika dan Pendidikan Matematik NUANSA: Jurnal Penelitian Ilmu Sosial dan Keagamaan Islam InPrime: Indonesian Journal Of Pure And Applied Mathematics Majalah Ilmiah Matematika dan Statistika (MIMS) Computational and Experimental Research in Materials and Renewable Energy (CERiMRE) Jurnal Pengabdian Masyarakat dan Penelitian Thawalib As-Syifa Journal of Islamic Studies and History Nuansa: Jurnal Penelitian Ilmu Sosial dan Keagamaan Islam Indonesian Society and Religion Research FIKROTUNA: Jurnal Pendidikan dan Manajemen Islam Pawitra Komunika: Jurnal Komunikasi dan Sosial Humaniora
Moh. Hasan
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Religion Arts Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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Journal : Majalah Ilmiah Matematika dan Statistika (MIMS)

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Limit Cycle Equation Van Der Pol and Duffing Equation Ursulasari, Yuan; Hasan, Moh.
Majalah Ilmiah Matematika dan Statistika Vol 16 No 1 (2016): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v16i1.23729

Abstract

Van der Pol Equation and Duffing Equation are the second order differential equation which are read as x '' µ ( x 2  1 ) x ' + x = 0 and x ' '  kx' - x + x3 = F cos( w t ) . The aim of this paper is to study about the limit cycle of both equations. The discussion will be focused on the existence and the stability of the limit cycle and also the difference between the limit cycle of van der Pol equation and the Duffing equation. The results are limit cycle exist in van der Pol equation and Duffing equation. The form of limit cycle of the van der Pol equatuon is depended to the µ values and the the form of limit cycle of the Duffing equation is depended to the k, F, and w values. The difference of both equations is that van der Pol equation is globally stable while the Duffing equation is locally stable. Duffing equation may be having more than one limit cycle while van der Pol equation can only has single limit cycle.
Portfolio Optimization by Quadratic Programming Rianingsih, Wahyu; Hasan, Moh.; Pradjaningsih, Agustina
Majalah Ilmiah Matematika dan Statistika Vol 17 No 2 (2017): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v17i2.23758

Abstract

Portfolio is amount of investment. It determines proportion of fund that should be allocated in each investment in order to increase a certain profit with a certain risk. This research has aim to achieve an optimal result of portfolio case. Examaning this case is use quadratic programming, and then finishing with Wolfe method.
Co-Authors A.A. Ketut Agung Cahyawan W Ach. Baidowi Agustina Pradjaningsih Ardany, Mariza D. Devita, Nindira Mei Dwi Agus Wijayanto Eka Susylawati Eka Susylawati Eka Susylawati Fahreza, Faizal Rifky Fitrah Yuliawati, Fitrah Kumullah, Saulia Rahimah Kusbudiono Kusbudiono, Kusbudiono Laili Husnul Khatimah Misto Misto Moh. Mirzan Muhammad Khoirur Roziqin Mustar Mustar, Mustar Nur Imamah Paken Pandiangan Rahman, Zainur Ramadhany, Feryna Rianingsih, Wahyu Rusli Hidayat S Slamin Suprihatin Suprihatin Tri Mulyani Tri Mulyani Tri Mulyono Ursulasari, Yuan