Multi-Hamiltonian property of a linear system with quadratic invariant

Козлов, В. В.

doi:10.1090/spmj/1574

Cited by 6 publications

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References 13 publications

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“…1, 2). История и память не являются чем-то абстрактным, они формируют среду нашего существования, это то, чем мы живем и дышим каждый день [9,10]. Вопреки мнениям глобалистов о том, что исторические традиции уходят в прошлое и культурное наследие не имеет смысла, о «неактуальности культуры перегрузки», не следует отрицать огромный вклад предшественников в создание среды современного города.…”

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Renovation of blocks of typical low-rise buildings 1940-1950 in Samara in the paradigm of contextual design

Vologdina,

Ivanova

2024

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The prospects for the renovation of residential blocks of the 1940-1950s in the paradigm of contextual design are determined. For this purpose, the structure and morphology of neighborhoods was studied, the main types and characteristic features of the existing urban fabric were identified. An analysis was carried out of the quality of the existing environment of the territories, their provision with transport and social infrastructure. A judgment is given about the nature and specificity of renovation, taking into account the existing urban planning context, the historical memory of people, and the richness of the environment. The thesis about the historical value of typical low-rise buildings and the uniqueness of the urban morphology of the research object is substantiated. The boundaries of the renovation areas have been determined. A list of areas for proposed renovation is given. Principles for the renovation of built-up areas of the 1940-1950s have been developed, as well as models illustrating an operational approach to solving the problem.

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Renovation of blocks of typical low-rise buildings 1940-1950 in Samara in the paradigm of contextual design

Vologdina,

Ivanova

2024

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Quadratic conservation laws for equations of mathematical physics

Козлов¹

2020

Russ. Math. Surv.

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Linear systems of differential equations in a Hilbert space are considered that admit a positive-definite quadratic form as a first integral. The following three closely related questions are the focus of interest in this paper: the existence of other quadratic integrals, the Hamiltonian property of a linear system, and the complete integrability of such a system. For non-degenerate linear systems in a finite-dimensional space essentially exhaustive answers to all these questions are known. Results of a general nature are applied to linear evolution equations of mathematical physics: the wave equation, the Liouville equation, and the Maxwell and Schrödinger equations. Bibliography: 60 titles.

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The Liouville Equation as a Hamiltonian System

Козлов

2020

Math Notes

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Multi-Hamiltonian property of a linear system with quadratic invariant

Cited by 6 publications

References 13 publications

Renovation of blocks of typical low-rise buildings 1940-1950 in Samara in the paradigm of contextual design

Renovation of blocks of typical low-rise buildings 1940-1950 in Samara in the paradigm of contextual design

Quadratic conservation laws for equations of mathematical physics

The Liouville Equation as a Hamiltonian System

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