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Generalized Stäckel systems
We consider the generalized Stäckel systems, the broadest class of integrable Hamiltonian systems that admit separation of variables and possess separation relations affine in the Hamiltonians. For these system...
BA - Obecná matematika
- 2011 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems
We present a multiparameter generalization of the Stäckel transform (the latter conditions this generalized Stäckel transform preserves Liouville integrability, we show that the Hamiltonians of the systems...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Integrable quantum Stäckel systems
The Stäckel separability of a Hamiltonian system is well known to ensure in the momenta. We consider a class of Stäckel separable systems where the entries of the Stäckel matrix are monomials in the separa...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Bi-Hamiltonian representation of Stackel systems
for integration by quadratures of Stäckel-separable Liouville-integrable systems (the so-called Stäckel systems). These relations are further employed for the classification of Stäckelsystems. Moreover, we prove t...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems
. The results are applied to quasi-Stäckel systems from [14].Motivated by the theory of Painlevé equations and associated hierarchies, we study nonautonomous Hamiltonian systems that are Frobenius integrable. We establish s...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Hamiltonian integrable systems in a magnetic field and symplectic-Haantjes geometry
We investigate the geometry of classical Hamiltonian systems immersed that these systems admit non-trivial symplectic-Haantjes manifolds, which are symplectic allow us to determine separation variables for known systems alg...
Mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Hyperbolic-type generalized Lorenz system and its canonical form.
This paper shows that a large class of chaotic systems, introduced recently as the generalized Lorenz system, can be further generalized to the hyperbolic-type generalized Lorenz system. While the...
BC - Teorie a systémy řízení
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
On detection of generalized synchronization in the complex network with ring topology via the duplicated systems approach
This paper studies the generalized synchronization of a complex network consisting of nodes being generalized Lorenz chaotic systems via the duplicated systems approach. The focus is on the detection of general...
Automation and control systems
- 2019 •
- D •
- Link
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D - Stať ve sborníku
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The role of generic cabling systems in CIS ACR modernization process
The article deals with the problems of generic cabling systems in general, the normalization process in this field and it pursues solutions to the drawbacks of the generic cabling systems implementation in...
KA - Vojenství
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
Generalized Lorenz Canonical Form Revisited
This paper completes the description of the generalized Lorenz system (GLS) and hyperbolic generalized Lorenz system (HGLS) along with their canonical forms (GLCF, HGLCF, complete formulations of the generalize...
Electrical and electronic engineering
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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