Judul: Analisis stabilitas nonparametrik dan keragaan galur-galur harapan cabai (Capsicum annuum L.) pada 8 lingkungan
Abstrak: The objectives of this study were to compare nonparametric stability measures, and to identify promising high yield and stable of chili pepper (Capsicum annuum L.) genotypes at the eight environments. In every environment, the design was Randomized Complete Block Design with three replications. The method of Nassar and Huehn, Kang, Fox, and Thennarasu were used to analysis the stability and high yield. Spearman’s correlation and Principal Component analysisdistinguishes methods base on two different concept of stability : the static (biological) and dynamic (agronomic) concepts. Top method was categorized in the concept of dynamic stability. While the methods of Si1, Si2, Si3, Si6, Npi1, NPi2, NPi3 and NPi4 were categorized in the concept of static stability. Based on the ranking frequency stability of the nonparametric method, genotypes which have the highest frequency of static stability ranking were genotypes IPB002003, IPB002046, IPB009019 and Tit Super, whereas IPB009002 and Tombak were categorized as dynamic stability. Genotype IPB120005 and IPB019015 wereless adaptable in multiple environments tested. It shows that the genotypes were specific in certain environments. IPB120005 has high yield and specific location at Boyolali dry season withan average yield of 872.0 g and IPB019015 genotype was specific at Bogor wet season.
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Judul: Performance and Stability Analysis for Yield of Chili (Capsicum fructescens L.) in Four Lowland Environments
Abstrak: arietas cabai yang stabil dan berdaya hasil tinggi diperlukan untuk peningkatan produksi cabai nasional. Penelitian ini bertujuan untuk mengevaluasi stabilitas hasil 16 genotipe cabai rawit (Capsicum fructescens L.) dengan menggunakan analisis stabilitas parametrik (Francis-Kannenberg, Wricke, Finlay-Wilkinson, Eberhart-Russel. AMMI dan GGE) dan stabilitas nonparametrik (Nasser dan Huehn, Fox dan Thennarasu). Penelitian ini dilaksanakan pada bulan Agustus 2018 sampai September 2019 pada empat lokasi, yaitu Kolaka, Palembang, Aceh dan Bogor. Penelitian ini menggunakan rancangan kelompok lengkap teracak dengan tiga ulangan. Genotipe cabai rawit yang dievaluasi adalah F5285290-237-6-1, F6285290-6-10-1-1, F5285290-290-2-1, F5285290-290-9-1, F5285290-290-9-3, F5321290-40-2-1, F5285290-123-6-15, F6321290-252-10-8-4, F5285290-38-6-3, F6321290-252-10-8-23, F6321290-252-10-8-75, Bonita IPB, Inul (varietas local Garut), Cakra Putih (varietas komersial), Taruna (varietas komersial), dan Tobasco. Interaksi genotipe x lingkungan berpengaruh nyata terhadap hasil. Berdasarkan konsep stabilitas statis dengan metode Francis-Kannenberg, Nasser dan Huehn, dan Thennarasu, genotipe yang stabil adalah F6321290-252-10-8-75, F6321290-252-10-8-23, F5321290-40-2-1, F5285290-123-6-15, F6321290-252-10-8-4, Taruna dan Inul. Berdasarkan stabilitas dinamis dengan metode Finlay-Wilkinson, Eberhart-Russel, Wricke, AMMI, GGE dan Fox, genotipe yang stabil adalah F5285290-237-6-1, F6285290-6-10-1-1, F5285290-290-9-3, F6321290-252-10-8-4, Bonita IPB dan F5285290-290-2-1. Genotipe F6321290-252-10-8-4 diidentifikasi sebagai genotipe stabil berdasarkan beberapa metode stabilitas parametrik dan nonparametrik, namun genotipe tersebut tidak memiliki rata-rata hasil tertinggi. Sedangkan analisis GGE dan Fox mengidentifikasi Bonita IPB sebagai genotipe yang stabil dengan daya hasil tertinggi. Kata kunci: analisis stabilitas, cabai, stabilitas dinamis, stabilitas statis, varietas, Stable and high yielding chili varieties are needed to increase the national chili production. The objective of this study was to identify the stability of sixteen chili (Capsicum fructescens L.) genotypes using parametric stability analyses (Francis-Kannenberg, Wricke, Finlay-Wilkinson, Eberhart-Russel. AMMI, and GGE) and nonparametric stability analysis ((Nasser and Huehn, Fox and Thennarasu). The study was conducted from August 2018 to September 2019 in Kolaka, Palembang, Aceh, and Bogor. The experiment used a randomized complete block design with three replications. The chili genotypes evaluated were F5285290-237-6-1, F6285290-6-10-1-1, F5285290-290-2-1, F5285290-290-9-1, F5285290- 290-9-3, F5321290-40-2-1, F5285290-123-6-15, F6321290-252-10-8-4, F5285290-38-6-3, F6321290-252-10-8-23, F6321290-252-10-8-75, Bonita IPB, Inul (loca1 variety), Cakra Putih (commercia1 variety), Taruna (commercia1 variety), and Tobasco. The genotype x environment interaction effect was significant on yield. Based on the concept of static stability using Francis-Kannenberg, Nasser and Huehn and Thennarasu methods, the stable genotypes were F6321290-252-10-8-75, F6321290-252-10-8-23, F5321290-40-2-1, F5285290-123-6-15, F6321290-252-10-8-4, Taruna and Inul. Based on the concept of dynamic stability of Finlay-Wilkinson, Eberhart-Russel, Wricke, AMMI, GGE and Fox methods, the stable genotypes were F5285290-237-6-1, F6285290-6-10-1-1, F5285290-290-9-3, F6321290-252-10-8-4, Bonita IPB and F5285290-290-2-1. Genotype F6321290-252-10-8-4 was identified stable based on several parametric and nonparametric stability methods, but was not the highest yielding genotype. Meanwhile, the GGE analysis and Fox methods revealed Bonita IPB as a stable genotype with the highest yield. Keywords: chilli, dynamic stability, stability analysis, static stability, variety
Keyword: chilli, dynamic stability, stability analysis, static stability, variety

Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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