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Intrinsic Quantization of Linear Hamiltonian Systems [PDF]
EntropyThis article discusses the quantization of linear Hamiltonian systems, a historically rich but under explored line of research. The key idea is that a classical linear Hamiltonian system induces on its phase space a compatible complex structure and ...
Luigi Accardi, Carlo Pandiscia
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On stability of motion of satellite [PDF]
E3S Web of Conferences, 2023 In this paper we consider the translational and rotational motion of satellites around the Earth. First, we study the motion of an arrow-type satellite. We consider the system of equations of motion in the first approximation.
Titova Tatiana
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On stability of motion of unbalanced gyroscope [PDF]
E3S Web of Conferences, 2023 In this paper we consider the stability of motion of an unbalanced gyroscope with a flexible shaft in gimbal suspension.Gyroscopes are used to control the stability of boom tower cranes.
Titova Tatiana
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Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we study the existence of limit cycles in continuous and discontinuous planar piecewise linear Hamiltonian differential system with two or three zones separated by straight lines and such that the linear systems that define the piecewise ...
Claudio Pessoa, Ronisio Ribeiro
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Frontiers in Applied Mathematics and Statistics, 2023 We provide a short introduction to the devising of a special type of methods for numerically approximating the solution of Hamiltonian partial differential equations.
Bernardo Cockburn +2 more
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Extending Complex Conjugate Control to Nonlinear Wave Energy Converters
Journal of Marine Science and Engineering, 2020 This paper extends the concept of Complex Conjugate Control (CCC) of linear wave energy converters (WECs) to nonlinear WECs by designing optimal limit cycles with Hamiltonian Surface Shaping and Power Flow Control (HSSPFC).
David G. Wilson +4 more
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Boundary Value Problems, 2023 This paper is concerned with the existence of periodic solutions for asymptotically linear second-order delay differential equations. We will establish an index theory for the linear system directly in the sense that we do not need to change the problem ...
Yuan Shan
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Applied Sciences, 2021 We investigated the derivation of numerical methods for solving partial differential equations, focusing on those that preserve physical properties of Hamiltonian systems.
Odysseas Kosmas +2 more
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Journal of Function Spaces, 2020 In this paper, we consider the reducibility of the quasiperiodic linear Hamiltonian system ẋ=A+εQt, where A is a constant matrix with possible multiple eigenvalues, Qt is analytic quasiperiodic with respect to t, and ε is a small parameter.
Nina Xue, Wencai Zhao
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Antiprincipal solutions at infinity for symplectic systems on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we introduce a new concept of antiprincipal solutions at infinity for symplectic systems on time scales. This concept complements the earlier notion of principal solutions at infinity for these systems by the second author and Šepitka ...
Iva Drimalova, Roman Simon Hilscher
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