منابع مشابه
the study of bright and surface discrete cavity solitons dynamics in saturable nonlinear media
امروزه سالیتون ها بعنوان امواج جایگزیده ای که تحت شرایط خاص بدون تغییر شکل در محیط منتشر می-شوند، زمینه مطالعات گسترده ای در حوزه اپتیک غیرخطی هستند. در این راستا توجه به پدیده پراش گسسته، که بعنوان عامل پهن شدگی باریکه نوری در آرایه ای از موجبرهای جفت شده، ظاهر می گردد، ضروری است، زیرا سالیتون های گسسته از خنثی شدن پراش گسسته در این سیستم ها بوسیله عوامل غیرخطی بوجود می آیند. گسستگی سیستم عامل...
Duality and nonlinear graph Laplacians
We present an iterative algorithm for solving a class of nonlinear Laplacian system of equations in Õ(km log(kn/ǫ)) iterations, where k is a measure of nonlinearity, n is the number of variables, m is the number of nonzero entries in the graph Laplacian L, ǫ is the solution accuracy and Õ() neglects (non-leading) logarithmic terms. This algorithm is a natural nonlinear extension of the one by o...
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We prove that among finite graph algebras and among finite flat graph algebras, dualizability, full dualizability, strong dualizability and entropicity are all equivalent. Any finite (flat) graph algebra which is not dualizable must be inherently non-κ-dualizable for every infinite cardinal κ. A new, general method for proving strong duality is presented.
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The work reported in the paper employs a general approach of associating engineering domains with general discrete mathematical models, called – graph representations. Once the engineering system is represented by a graph representation, all the reasoning processes upon the system are substituted by a reasoning of a more mathematical nature over the graph representation. Accordingly, graph repr...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2019
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-019-09549-0