Equation on the basis of one-dimensional chaotic dynamics

Modified Klein–Gordon–Fock equations were obtained on the basis of one-dimensional chaotic dynamics and the original Lagrangians were found. The concepts of $m$-exponential map and groups with broken symmetry are introduced. A system of bitrial orthogonal functions is considered.

Bibliographic Details
Main Author: Dmitry Borisovich Volov
Format: Article
Language:English
Published: Samara State Technical University 2013-12-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/34721/23072
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author Dmitry Borisovich Volov
author_facet Dmitry Borisovich Volov
author_sort Dmitry Borisovich Volov
collection DOAJ
description Modified Klein–Gordon–Fock equations were obtained on the basis of one-dimensional chaotic dynamics and the original Lagrangians were found. The concepts of $m$-exponential map and groups with broken symmetry are introduced. A system of bitrial orthogonal functions is considered.
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issn 1991-8615
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language English
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series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
spelling doaj.art-254431e6b449418cb7c1fe6e307e35162022-12-22T02:02:57ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-12-0117133434210.14498/vsgtu117531234Equation on the basis of one-dimensional chaotic dynamicsDmitry Borisovich Volov0Samara State Transport UniversityModified Klein–Gordon–Fock equations were obtained on the basis of one-dimensional chaotic dynamics and the original Lagrangians were found. The concepts of $m$-exponential map and groups with broken symmetry are introduced. A system of bitrial orthogonal functions is considered.https://journals.eco-vector.com/1991-8615/article/viewFile/34721/23072one-dimensional chaotic dynamicsklein–gordon equationlagrangianexponential mapalgebraorthonormal systems
spellingShingle Dmitry Borisovich Volov
Equation on the basis of one-dimensional chaotic dynamics
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
one-dimensional chaotic dynamics
klein–gordon equation
lagrangian
exponential map
algebra
orthonormal systems
title Equation on the basis of one-dimensional chaotic dynamics
title_full Equation on the basis of one-dimensional chaotic dynamics
title_fullStr Equation on the basis of one-dimensional chaotic dynamics
title_full_unstemmed Equation on the basis of one-dimensional chaotic dynamics
title_short Equation on the basis of one-dimensional chaotic dynamics
title_sort equation on the basis of one dimensional chaotic dynamics
topic one-dimensional chaotic dynamics
klein–gordon equation
lagrangian
exponential map
algebra
orthonormal systems
url https://journals.eco-vector.com/1991-8615/article/viewFile/34721/23072
work_keys_str_mv AT dmitryborisovichvolov equationonthebasisofonedimensionalchaoticdynamics