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The symmetry reduction of variational integrals
The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis principle of constant energy systems are generalized......
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On the Routh reduction of variational integrals. Part 1: The classical theory.
A geometrical approach to the reductions of one-dimensional first order variational integrals with respect to a Lie symmetry group is discussed. The method includes both the Routh reduction of cyclic variables and the Jacob...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A routhe to Routh -- the classical setting
'$. This principle is known as the Routh reduction. In this paper we start to develop a purely geometric approach to this reduction. We do not limit ourselves to rather special......
BA - Obecná matematika
- 2011 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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A route to Routh?the parametric problem.
There is a well known principle in classical mechanic stating that a variational problem independent of a space variable $w$ (so called cyclic variable), but dependent on the velocity $w'$ can be expressed without both $w$ and $w'$. This is the R...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Routh-Hurwitz stability tester
This software tests stability of linear ODE systems using the Routh-Hurwitz stability criterion. Two types of input are allowed ? either a system or a polynomial (the tester assumes that the polynomial is a characteristic polynomial of a cer...
BA - Obecná matematika
- 2013 •
- R •
- Link
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R - Software
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The Routh–Hurwitz conditions of fractional type in stability analysis of the Lorenz dynamical system
Routh–Hurwitz conditions of fractional type. Beside it, we perform other bifurcation...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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General formulation of linear aeroelastic system stability and respective post-critical response types
of the response in its neighbourhood are analysed by means of Routh theorem. Among others, the Routh conditions particularly important for the flutter and divergence onset......
JM - Inženýrské stavitelství
- 2011 •
- D
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D - Stať ve sborníku
Vehicle Routhing Problem with Stochastic Demands.
Basic themes in document: vehicle routing problem; stochastic demand; artificial capacity; programming system LINGO. Á Ë × Ú Ü Ţ ä ć [...
BB - Aplikovaná statistika, operační výzkum
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An implementation on MATLAB software for stability analysis of proportional controllers in linear time invariant control systems
Stability range of proportional (P) controllers can be obtained using Routh-Hurwitz criterion for continuous linear time invariant (LTI) control systems or Bistritz criterion, Jury criterion for discrete LTI systems. Conditions from these cr...
JA - Elektronika a optoelektronika, elektrotechnika
- 2016 •
- D •
- Link
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D - Stať ve sborníku
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Post-critical behavior of an auto-parametric aero-elastic system with two degrees of freedom
A generalized two-degree-of-freedom non-linear mathematical system with non-linear gyroscopic and nonconservative terms was used to set up a model for heave and pitch self-excited motion. The stability conditions for a girder with a bluff cross-secti...
Civil engineering
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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