Solitons in a parametrically driven damped discrete nonlinear Schr\"odinger equation

We consider a parametrically driven damped discrete nonlinear Schr\"odinger (PDDNLS) equation. Analytical and numerical calculations are performed to determine the existence and stability of fundamental discrete bright solitons. We show that there are two types of onsite discrete soliton, namely onsite type I and II. We also show that there are four types of intersite discrete soliton, called intersite type I, II, III, and IV, where the last two types are essentially the same, due to symmetry. Onsite and intersite type I solitons, which can be unstable in the case of no dissipation, are found to be stabilized by the damping, whereas the other types are always unstable. Our further analysis demonstrates that saddle-node and pitchfork (symmetry-breaking) bifurcations can occur. More interestingly, the onsite type I, intersite type I, and intersite type III-IV admit Hopf bifurcations from which emerge periodic solitons (limit cycles). The continuation of the limit cycles as well as the stability of the periodic solitons are computed through the numerical continuation software Matcont. We observe subcritical Hopf bifurcations along the existence curve of the onsite type I and intersite type III-IV. Along the existence curve of the intersite type I we observe both supercritical and subcritical Hopf bifurcations.Comment: to appear in "Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations in Nonlinear Systems", B.A. Malomed, ed. (Springer, Berlin, 2012

Kebertahanan Rumah Gadang dan Perubahan Sosial di Wilayah Budaya Alam Surambi Sungai Pagu, Kabupaten Solok Selatan

THE VIABILITY OF MINANGKABAU TRADITIONAL HOUSE AND SOCIAL CHANGE IN THE CULTURAL NATURE SURAMBI SUNGAI PAGU, SOUTH SOLOK REGENCY This article is the extract of research conducted in a region that was ever proposed to UNESCO to be one of world heritage cultures about the survival of rumah gadang in culture region Alam Surambi Sungai Pagu, Solok Selatan regency, West Sumatera. This phenomenon is unique, because it is “in contradiction to” common phenomenon in others region in Minangkabau, in which rumah gadang tends to be more and more extinct as the impact of socio-cultural changes to Minangkabau society. This research is qualitative with naturalistic approach. Result of the research found six (6) factors that cause phenomenon of rumah gadang survival in that region, namely 1) factor of maintaining value, prestige and respectability of community and status of “kepenghuluan” to the community, 2) factor of “merantau”, 3) factor of the principle “patah tumbuh hilang berganti”, 4) factor of local genius “mangguntiang sibak baju”, 5) factor of local genius; “balah pinang” and 6) factor of tourists destination

Dari Islam Radikal Ke Islam Pluralis Genealogi Gerakan Paderi Dan Pengaruhnya Terhadap Islam Pluralis Di Perbatasan Minangkabau

Dialectics of religion and social reality can be seen as one of the factors driving the emergence of religious movements. Social reality in the community can lead to the interpretation of typical social movements with basicly social implication. Thus, the radical religious movement grows as a backlash against perceived unjust structures and threatens its existence. Polemics about Padri movement in the Minangkabau as a radical movement must be thoroughly understood and not partially, through the study of history with genealogical approach, interpreting the history of this war will not merely in the sense of time, space, and actor. By tracing genealogy of this religious movement lead us to understand change of identity and historical facts that speak another. Allegations that the Padri movement is extreme and radical to be deeply reconsidered. In fact, the Padri movement has been instrumental in creating a religious understanding of Islamic societies tend Minangkabau northern frontier in the puritanical religious understanding, more pluralist because it is inhabited by several ethnic and even religious, and most importantly between customary and religious accommodation. Under this approach, especially genealogy postmodernism and identity, this paper will examine the history and influence of the Padri movement toward religious understanding Minangkabau society\u27s northern frontier

Local Wisdom and Natural Disaster in West Sumatra

Community-based disaster management is an attempt to optimize the potential of social and local values in communities to facilitate the handling of natural disasters. West Sumatra as one of the disaster-prone areas in Indonesia has a number of local wisdom values—a value combining religion and local culture—rooted in traditional philosophy; “Adat Basandi Syara', Syara' Basandi Kitabullah”. The examples of those local wisdoms are customary ideas or proverbs in the form of legend and expressions, architectural design of the traditional house—“Rumah Gadang”—and the structure of the environment as well as the social systems of kinship and traditional administration in the form of Nagari. This research employed qualitative method by using ethnography approach. The data were collected through observations, participation in social events, and in-depth interviews. Those techniques were applied to obtain the valid information and the meaning of events and behaviors comprehensively. The local values applied by the indigenous communities as the victims of natural disasters in some regions of West Sumatra include “Badoncek” tradition in Nagari Tandikat Padang Pariaman, the architecture of “Rumah Gadang” in Nagari Sungayang, Tanah Datar and disaster mitigation based on district in Nagari Kubang Putiah Agam.Managemen bencana berbasis masyarakat merupakan upaya untuk mengoptimalkan potensi sosial dan nilai-nilai lokal yang dimiliki masyarakat untuk memudahkan proses penanganan bencana alam. Sumatera Barat sebagai salah satu daerah rawan bencana di Indonesia, memiliki sejumlah nilai kearifan lokal, sebuah nilai yang memadukan antara agama dan budaya lokal yang termaktub dalam filosofi adat; Adat Basandi Syara', Syara' Basandi Kitabullah. Di antara kearifan lokal itu adalah ide atau pepatah adat dalam bentuk tambo dan ungkapan-ungkapan, tata ruang rumah adat dari segi arsitektur rumah gadang dan penataan lingkungannya serta sistem sosial kekerabatan dan pemerintahan adat dalam bentuk nagari. Penelitian ini menggunakan metode kualitatif dengan pendekatan etnografi. Pengumpulan data dilakukan melalui observasi, keterlibatan dalam kegiatan masyarakat dan wawancara mendalam. Teknik-teknik ini dilakukan untuk mendapat informasi yang valid dan mendalam serta menghayati makna atau arti peristiwa dan tingkah laku secara komprehensif. Adapun nilai-nilai kearifan lokal yang diterapkan komunitas adat di Sumatera Barat meliputi tradisi badoncek di Nagari Tandikat Padang Pariaman, arsitektur dan tata kelola rumah gadang di Nagari Sungayang Tanah Datar serta mitigasi bencana berbasis nagari di Nagari Kubang Putiah Kabupaten Agam

Konstruksi Identitas Agama Dan Budaya Etnis Minangkabau Di Daerah Perbatasan: Perubahan Identitas Dalam Interaksi Antaretnis Di Rao Kabupaten Pasaman Sumatera Barat

This dissertation discusses the rise of religious and ethnic identity change in a frontier area in West Sumatera. Its analysis focuses on inter-ethnic interaction between Minangkabau people and other ethnic groups in a frontier area of Rao, Pasaman. This study founds that social relationship in a frontier area took place in the form of individual relationships between the Minangkabau people with the Mandailing people. In their social interaction, these communities were engaged in the process of cultural contact, conflict or competition, accommodation, assimilation, adaptation, aculturation, negotiation and contestation. This study confirms that the process of interaction affects the religious and cultural identity change. Finally, the construction of religious and Minangkabau ethnic culture in a frontier area formed a new identity which was established from the synthesis of a long process of social interaction. The construction of religious and cultural identity formed a religious and ethnic conflict prevention model

Discrete solitons in electromechanical resonators

We consider a parametrically driven Klein--Gordon system describing micro- and nano-devices, with integrated electrical and mechanical functionality. Using a multiscale expansion method we reduce the system to a discrete nonlinear Schrodinger equation. Analytical and numerical calculations are performed to determine the existence and stability of fundamental bright and dark discrete solitons admitted by the Klein--Gordon system through the discrete Schrodinger equation. We show that a parametric driving can not only destabilize onsite bright solitons, but also stabilize intersite bright discrete solitons and onsite and intersite dark solitons. Most importantly, we show that there is a range of values of the driving coefficient for which dark solitons are stable, for any value of the coupling constant, i.e. oscillatory instabilities are totally suppressed. Stability windows of all the fundamental solitons are presented and approximations to the onset of instability are derived using perturbation theory, with accompanying numerical results. Numerical integrations of the Klein--Gordon equation are performed, confirming the relevance of our analysis

PROSES PEMERIKSAAN GUGATAN PERDATA DI PENGADILAN NEGERI

The court is an institution where the community seeks justice, by filing a lawsuit. Lawsuit is a claim for rights filed by the plaintiff against the defendant through the court, because the plaintiff feels his rights have been harmed by the defendant. There are at least 2 (two) or more parties defending their rights in the lawsuit civil procedural law, namely the plaintiff and the defendant. In filing a lawsuit there are 2 (two) types of lawsuits, namely voluntary and contentious. Voluntary lawsuits or so-called requests are made on the basis of the interests of only one party without any element of dispute. Contributory lawsuit is a lawsuit for a problem submitted where the parties are at least 2 (two) people and have an element of dispute . In everyday life in the community, there are many legal problems, especially in the civil field that can be filed for lawsuits or requests to court. However, the community does not yet know and understand how the process of examining civil lawsuits in district courts, as well as community members who live in villages Baja Kuning, Tanjung Pura District, Langkat Regency. Some civil issues that occurred in Baja Kuning Village such as divorce, determination of heirs, assets gono like this, land disputes, household issues and others. The people in Baja Kuning Village wish to take legal action in courts in solving their problems, but they do not understand how the process is. Based on this fact, it encourages extension officers to carry out Legal Counseling with the Community Service model entitled The Civil Lawsuit Examination Process in the District Court