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"The book offers a unified view on classical results and recent advances in the dynamics of nonconservative systems. The theoretical fundamentals are presented systematically and include: Lagrangian and Hamiltonian formalism, non-holonomic constraints, Lyapunov stability theory, Krein theory of spectra of Hamiltonian systems and modes of negative and positive energy, anomalous Doppler effect, reversible systems, sensitivity analysis of non-self-adjoint operators, dissipation-induced instabilities, local and global instabilities. They are applied to engineering situations such as the coupled mode flutter of wings, flags and pipes, flutter in granular materials, piezoelectric mechanical metamaterials, wave dynamics of infinitely long structures, radiative damping, stability of high-speed trains, experimental realization of follower forces, soft-robot locomotion, wave energy converters, friction-induced instabilities, brake squeal, non-holonomic sailing, dynamics of moving continua, and stability of bicycles and walking robots. The book responds to a demand in the modern theory of nonconservative systems coming from the growing number of scientific and engineering disciplines including physics, fluid and solids mechanics, fluid-structure interactions, and modern multidisciplinary research areas such as biomechanics, micro- and nanomechanics, optomechanics, robotics, and material science. It is targeted at both young and experienced researchers and engineers working in fields associated with the dynamics of structures and materials. The book will help to get a comprehensive and systematic knowledge on the stability, bifurcations and dynamics of nonconservative systems and establish links between approaches and methods developed in different areas of mechanics and physics and modern applied mathematics."

"Tuberkulosis (TB) adalah salah satu penyakit menular yang disebabkan oleh bakteri Mycrobacterium Tuberculosis. Penyakit TB paling sering menyerang paru-paru, tetapi juga dapat menyerang organ tubuh lain seperti otak, ginjal, tulang belakang, hati, dan lain-lain. Penyakit TB merupakan salah satu dari sepuluh penyebab kematian teratas di dunia. Pada penelitian ini, dikonstruksi model matematika penyebaran penyakit TB dengan menggunakan model SEI (Susceptible, Exposed, Infectious). Dari model tersebut, dilakukan analisis secara analitik dan numerik. Kajian analitik yang dilakukan berupa eksistensi dan kestabilan titik keseimbangan, pembentukan basic reproduction number (R0) dan analisis bifurkasi dari model. Pada kajian analisis model, diperoleh titik keseimbangan bebas penyakit TB bersifat stabil asimtotik lokal ketika R0<1 dan tidak stabil ketika R0>1. Lebih jauh, titik keseimbangan endemik TB selalu ada ketika R0>1. Saat R0=1, model ini juga menunjukkan adanya fenomena bifurkasi mundur yang dijelaskan menggunakan teorema Castillo-Chavez dan Song. Pada kajian numerik berupa analisis sensitivitas dan elastisitas (R0) serta simulasi autonomous dilakukan untuk memberikan gambaran dan interpretasi terhadap hasil kajian analitik yang telah dilakukan.

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Tuberculosis (TB) is an infectious disease caused by Mycobacterium tuberculosis. TB disease most often attacks the lungs and can also attack other organs such as the brain, kidneys, spine, liver, etc. TB disease is one of the top ten causes of death globally. In this study, a mathematical model of the spread of TB disease was constructed using the SEI (Susceptible, Exposed, Infectious) model. From the model, analytical and numerical analysis is carried out. Analytical studies are carried out regarding the existence and stability of equilibrium points, the basic reproduction number (R0), and the bifurcation analysis of the model. The model analysis found that the TB disease free equilibrium point is locally asymptotically stable when R0<1 and unstable when R0>1. The TB endemic equilibrium point always exists when R0>1. When R0=1, this model also indicates the existence of a backward bifurcation phenomenon that is explained using the Castillo-Chavez and Song theorem. Numerical studies are carried out related to sensitivity and elasticity (R0) analysis and autonomous simulation of the model to provide an overview of the results of the analytical studies that have been carried out."

"This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. "

"Pada skripsi ini dibahas model matematika yang menggambarkan transmisi kebiasaanmerokok di antara populasi dengan mempertimbangkan efek dari kampanye media.Model ini mempertimbangkan efek kampanye media untuk merangsang seseorang menjadinon-perokok, baik sementara atau permanen. Model dibentuk dengan pendekatansistem persamaaan diferensial biasa non-linier berdimensi lima. Model yang dibangunkemudian dianalisis secara analitik dan numerik. Kajian analitik yang dilakukanadalah proses nondimensionalisasi, analisis eksistensi dan kestabilan titik keseimbangan,menghitung nilai basic reproduction number (R0), dan analisis bifurkasi. Dihasilkanbahwa titik keseimbangan bebas rokok (SFE) stabil secara lokal ketika (R0 < 1), sementaraitu selalu ada titik keseimbangan endemik ketika (R0 > 1). Model ini juga menunjukkanadanya bifurkasi mundur pada saat R0 = 1. Kemudian, dilakukan kajian numerikuntuk mendukung hasil dari kajian analitik sebelumnya berupa analisis sensitivitas danelastisitas R0 dan simulasi autonomous. Beberapa simulasi numerik juga diberikan untukmendukung hasil dari kajian analitik

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In this thesis discussed a mathematical model which describe the transmission of smoking

habit among population considering the effect of the media campaign. This model

was taking into account the effect of the media campaign to stimulate an individual to be

a non-smoker, whether it’s temporary or permanent. The model is formed by the fivedimensional

nonlinear ordinary differential equation approach. The constructed model is

then analyzed analytically and numerically. The analytical study is a nondimensionalization

process, an analysis of the existence and stability of the equilibria, calculating the

value of textitbasic reproduction number (R0) and the bifurcation analysis. Generated

that smoking-free equilibrium(SFE) is locally stable when the basic reproduction number

(R0 < 1), while it always exists an endemic equilibrium point when R0 > 1. This

model also indicates the presence of backward bifurcation at R0 = 1. Sensitivity analysis

on R0 indicates the potential of a media campaign to help the government to reduce the

spread of smoking among the population. Some numerical simulations for supporting the

analytical is also given."

"Stability and transport in magnetic confinement systems provides an advanced introduction to the fields of stability and transport in tokamaks. It serves as a reference for researchers with its highly-detailed theoretical background, and contains new results in the areas of analytical nonlinear theory of transport using kinetic theory and fluid closure. The use of fluid descriptions for advanced stability and transport problems provide the reader with a better understanding of this topic. In addition, the areas of nonlinear kinetic theory and fluid closure gives the researcher the basic knowledge of a highly relevant area to the present development of transport physics."

"[Pada tesis ini dibahas suatu model terorisme di Indonesia. Model matematika ini dikembangkan dengan membagi populasi manusia ke dalam empat kelas, yaitu kelas umum (G), kelas bibit (S), kelas teroris aktif (FA), dan kelas teroris yang ada di lembaga pemasyarakatan (FP ). Analisis dinamik model berupa kajian titik ekuilibrium seperti jaminan eksistensi, kestabilan dan bifurkasi dibahas dalam tesis ini. Analisis bifurkasi terhadap model yang telah dikonstruksi dilakukan dengan menggunakan software Matcont. Dari hasil kajian eksistensi titik ekuilibrium diperoleh tiga titik ekuilibrium, yaitu titik ekuilibrium bebas teroris E0 = (1; 0; 0), titik ekuilibrium teroris yang berupa E1 = (g1; s1; v1) dan E2 = (g2; s2; v2). Titik ekuilibrium E0 ada tanpa syarat, sedangkan E1 dan E2 ada dengan syarat tertentu. Berdasarkan hasil analisis kestabilan diperoleh E0 stabil asimtotis, E2 stabil, sedangkan E1 tak stabil. Simulasi numerik diberikan dalam beberapa kondisi dengan memanfaatkan software Mathematica 10.0.

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In this thesis a model of terrorism in Indonesia is discussed. This model is developed by dividing the human population into four classes, namely general class (G), seed of terrorist class (S), active terrorist class (FA), and terrorist who are in a prison (FP ). Dynamical analysis such as study about equilibrium point such as existence, stability, and bifurcation are discussed in this thesis. A bifurcation analysis of the model is performed using software Matcont. From the results of the study of the existence of the equilibrium point, it is obtained three equilibrium points, namely terrorism-free equilibrium point E0 = (1; 0; 0), and terrorism equilibrium points E1 = (g1; s1; v1) and E2 = (g2; s2; v2). The equilibrium point E0 exists unconditionally, whereas E1 and E2 exist with certain conditions. From the analysis of stability equilibrium points obtained that E0 is asymptotically stable, E2 is stable, and E1 is unstable. Numerical simulation is given in some conditions by using software Mathematica 10.0., In this thesis a model of terrorism in Indonesia is discussed. This model isdeveloped by dividing the human population into four classes, namely generalclass (G), seed of terrorist class (S), active terrorist class (FA), and terrorist whoare in a prison (FP ). Dynamical analysis such as study about equilibrium pointsuch as existence, stability, and bifurcation are discussed in this thesis. Abifurcation analysis of the model is performed using software Matcont. From theresults of the study of the existence of the equilibrium point, it is obtained threeequilibrium points, namely terrorism-free equilibrium point E0 = (1; 0; 0), andterrorism equilibrium points E1 = (g1; s1; v1) and E2 = (g2; s2; v2). Theequilibrium point E0 exists unconditionally, whereas E1 and E2 exist withcertain conditions. From the analysis of stability equilibrium points obtained thatE0 is asymptotically stable, E2 is stable, and E1 is unstable. Numericalsimulation is given in some conditions by using software Mathematica 10.0]"

"Indonesia dengan berlatar negara kepulauan akan sangat mempunyai masalah dalam hal keamanan dalam wilayah terluarnya. Dalam pelayaran di Indonesia pun sangat banyak terjadinya kecelakaan yang banyak disebabkan dengan kondisi yang tidak bersahabat serta pada kondisi-kondisi tertentu sangat banyak kedalaman laut di Indonesia yang hanya kurang dari 5 meter yang menyebabkan kapal karam. Selain itu, kondisi di pulau terluar RI juga rentan akan pencurian dan kecelakaan yang tidak dapat terdeteksi. Hal ini membuat perlu adanya kapal robot yang mengawasi pulau terluar RI dan juga mendeteksi kecelakaan sebagai bantuan bagi kapal penyelamat. Kapal ini tentunya harus memiliki stabilitas yang baik. Self-righting menjadi salah satu metode yang dapat digunakan pada keadaan seperti ini. Metode ini pula yang digunakan pada kapal-kapal penyelamat/rescue boat.

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Indonesia as an archipelago country will always have many problems within security in outer area. Many accidents occurred when the ship sails caused by unfriendly extremely weather and in the other condition there are many shallow water which less than 5 meters so it can make the ship shipwrecked. On the other hand, condition of the Indonesia's outer area often happens robbing and accident which can not be detected. In this case make Indonesia must have a robotic ship to clamp down the outer area and also to detect accidents to help rescue boat. This ship/vessel also must have a good stability. Self-righting is one of the method which can be used in this case. This method also used in rescue boat."

"Metode yang digunakan dalam analisis stabilitas lereng semakin berkembang menyebabkan terdapat lebih dari satu metode yang dapat digunakan dalam menganalisis stabilitas lereng. Saat ini, Limit Equilibrium Method (LEM) dan Finite Element Method (FEM) menjadi metode analisis stabilitas lereng yang paling umum digunakan. Hal tersebut mendasari pertanyaan apakah terdapat perbedaan dari metode tersebut dan bagaimana pengaruh dari hasil analisis stabilitas lereng menggunakan metode tersebut pada permodelan longsor translasi. Tujuan dari penelitian ini adalah untuk mendapatkan perbandingan hasil faktor keamanan dan gambar pola kelongsoran dari penggunaan FEM dengan software MIDAS GTS NX dan LEM dengan software GeoStudio. Selain itu, penelitian ini bertujuan untuk melihat sensitivitas kedua metode tersebut terhadap pengaruh dari variasi parameter tanah permodelan longsor translasi. Penelitian perbandingan hasil faktor kemanan terhadap kedua metode dilakukan dengan mensimulasikan metode LEM dan FEM yang terdapat pada kedua software. Hasil perbandingan metode FEM dan LEM untuk permodelan lereng translasi memiliki hasil yang berbeda. LEM memberikan hasil faktor keamanan yang lebih kecil daripada FEM dan nilainya lebih dekat dengan perhitungan manual. Software MIDAS GTS NX menunjukan sensitivitas yang lebih tinggi daripada software GeoStudio. Dari penelitian ini, untuk analisis stabilitas lereng translasi direkomendasikan untuk menggunakan GeoStudio metode Janbu atau metode Morgenstern-Price untuk hasil faktor keamanan yang lebih optimal.

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The method used in the analysis to increase growth causes there to be more than one that can be used in the slope. Currently, Limit Equilibrium Method (LEM) and Finite Element Method (FEM) are the most commonly used slope analysis methods. In that case, are there any differences between these differences and what is the effect of the results of the question analysis using the method on translational landslide modeling. The purpose of this study was to compare the results of the safety factor and slide pattern images from the use of FEM with MIDAS GTS NX software and LEM with GeoStudio software. In addition, this study aims to examine the sensitivity of the two methods to the effect of variations in soil parameters in translational landslide modeling. Comparative research on the results of the safety factor against the second method was carried out by simulating the LEM and FEM methods contained in the second software. The results of the comparison of FEM and LEM methods for translational slope modeling have different results. LEM gives a smaller safety result than FEM and its value is closer to manual calculation. The MIDAS GTS NX software shows higher sensitivity than the GeoStudio software. From this research, for slope safety analysis, it is recommended to use GeoStudio Janbu’s method or Morgenstern-Price’s method for optimal safety factor results."