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A hierarchy of Poisson brackets in non-equilibrium thermodynamics
constructed from two ingredients: an energy functional and a Poisson bracket. The goal of this paper is to elucidate how the Poisson brackets can be constructed and what additional features we also gain by the con...
CI - Průmyslová chemie a chemické inženýrství
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Hamiltonian coupling of electromagnetic field and matter
Reversible part of evolution equations of physical systems is often generated by a Poisson bracket. We discuss geometric means of construction of Poisson brackets and their mutual coupling (direct, semidirect and m...
Physical sciences
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Family of Boundary Poisson Brackets
We find a new d-parameter family of ultra-local boundary Poisson brackets that satisfy the Jacobi identity. The two already known cases (hep-th/9305133, hep-th/9806249 and hep-th/9901112) of ultra-local boundary Poisson
BE - Teoretická fyzika
- 2000 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric.
formalism and determine the form of the Poisson brackets between currents. Then we determine the Poisson bracket for Lax connection and we show that this Possion bracket of this model. We prove an existen...
BE - Teoretická fyzika
- 2007 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Direct Poisson neural networks: learning non-symplectic mechanical systems
of two building blocks: a Poisson bracket and an energy functional. We feed a set systems (with non-degenerate Poisson brackets) and non-symplectic systems (degenerate brackets). In contrast with earlier ...
Applied mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Geometric structures on the tangent bundle of the Einstein spacetime
We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein spacetime....
BA - Obecná matematika
- 2006 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A triplectic bi-Darboux theorem and para-hypercomplex geometry
compatible, jointly non-degenerate Poisson brackets with mutually involutive Casimirs are common Darboux coordinates for two Poisson brackets. We discuss both the Grassmann-even and the Grassmann-odd Poisson
BE - Teoretická fyzika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Compatible Poisson Structures of Toda Type Discrete Hierarchy
-theoreticPoisson structures and the Suris quadratic bracket are derived. The resulting family of bi-Poisson structures include a seminal discrete bi-Poisson structure......
BE - Teoretická fyzika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of Lax Connection
This short note is devoted to the study of the Hamiltonian formalism and the integrability of the bosonic model introduced in [hep-th/0612079]. We calculate Poisson bracket of spatial components of Lax connection and we argue that i...
BE - Teoretická fyzika
- 2007 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Putting an Edge to the Poisson Bracket
We consider a general formalism for treating a Hamiltonian (canonical) field theory with a spatial boundary. In this formalism essentially all functionals are differentiable from the very beginning and hence no improvement terms are needed. We introd...
BE - Teoretická fyzika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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