Analisa Keujudan Limit Cycle Pada Sistem Autonomous Kubik

Dwiastuti, Yuni (2007) Analisa Keujudan Limit Cycle Pada Sistem Autonomous Kubik. Other thesis, Institut Teknologi Sepuluh Nopember.

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Abstract

Persamaan diferensial tak linear dan sistem persamaan diferensial tak linear seringkali muncul dalam penerapan, tetapi hanya beberapa persamaan diferensial tak linear (sebagai contoh, persamaan diferensial terpisah, persamaan diferensial homogen, persamaan diferensial eksak) yang dapat diselesaikan secara analitis. Demikian juga untuk sistem persamaan diferensial tak linear. Penelitian ini bertujuan untuk menganalisa keujudan limit cycle pada sistem autonomous kubik. Diawali dengan menganalisa kestabilan titik-titik kesetimbangan, keujudan himpunan yang globally attractive bisa ditentukan dengan menggunakan fungsi Lyapunov, sehingga sifat global dari sistem autonomous kubik bisa ditentukan. Hasil penelitian menunjukkan keujudan limit cycle pada sistem autonomous kubik bisa ditentukan dengan menggunakan sifat global sistem autonomous kubik yang ada
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Nonlinear differential equations and systems of nonlinear differential equations frequently arise in applications, but only a few nonlinear differential equations (e.g., separate differential equations, homogeneous differential equations, exact differential equations) can be solved analytically. This also applies to systems of nonlinear differential equations. This study aims to analyze the existence of limit cycles in cubic autonomous systems. Beginning with an analysis of the stability of equilibrium points, the existence of globally attractive sets can be determined using the Lyapunov function, thus determining the global properties of the cubic autonomous system. The results show that the existence of limit cycles in cubic autonomous systems can be determined using the existing global properties of the cubic autonomous system

Item Type:	Thesis (Other)
Additional Information:	RSMa 515.222 Dwi a-1 2007 (weeding)
Uncontrolled Keywords:	Limit cycle, himpunan in varian positif; Limit cycle, invariilnt set
Subjects:	Q Science > QA Mathematics > QA371 Differential equations--Numerical solutions Q Science > QA Mathematics > QA614.8 Differentiable dynamical systems
Divisions:	Faculty of Mathematics and Science > Mathematics > 44201-(S1) Undergraduate Thesis
Depositing User:	EKO BUDI RAHARJO
Date Deposited:	24 Sep 2025 08:44
Last Modified:	24 Sep 2025 08:44
URI:	http://repository.its.ac.id/id/eprint/128417

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