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142 870 (0,355s)

Result

Evolution equation of Lie-type for finite deformations, and its time-discrete integration

The theory of evolution equations of Lie-type analyses a class of systems of timedependent first-order ordinary differential equations on a Lie group (resp. homogeneous differential equations<...

Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

  • 2017
  • C
Result

Evolution equation of Lie-type for finite deformations, time-discrete integration, and incremental methods

, can be actually interpreted as an equation of Lie-type describing evolution such equation arises from an incremental numerical modelling of deformations of nonlinear......

Statistics and probability

  • 2015
  • Jimp
  • Link
Result

Higher-order nonlinear dynamical systems and invariant Lagrangians on a Lie group: The case of nonlocal Hunter-Saxton type peakons

type peakons. Peakons-antipeakons collision on Lie group is also analyzedA G-strand is an evolutionary map g(t,s):RxR> G into a Lie group G that follows defined on the Lie algebra of the group G. t and s are indep...

Applied mathematics

  • 2024
  • Jimp
  • Link
Result

Efficient Lie-Poisson integrator for secular spin dynamics of rigid bodies

A fast and efficient numerical integration algortihm is presented for the problem of the secular evolution of the spin axis by reducing the equations of motion to the Hamiltonian for with Lie-Poisson bracket....

BN - Astronomie a nebeská mechanika, astrofyzika

  • 2005
  • Jx
Result

Classical Solutions of Sigma Models in Curved Backgrounds by the Poisson-Lie T-Plurality

. Therefore we are able to specify the type of ?-model solutions that solve also equationsClassical equations of motion for three-dimensional ?-models in curved background are solved by a transformation that follows from th...

BE - Teoretická fyzika

  • 2007
  • Jx
Result

Evolution Equations with Dissipation of Memory Type

Evolution Equations with Dissipation of Memory Type...

BA - Obecná matematika

  • 1999
  • D
Result

Lie reductions and exact solutions of dispersionless Nizhnik equation

differential equations. Lie and point symmetries of reduced equations are comprehensively of the original equation. If necessary, associated Lie reductions of a nonlinear Lax as in parametric or implicit ...

Pure mathematics

  • 2024
  • Jimp
  • Link
Result

Discussion of "On the interpretation of the logarithmic strain tensor in an arbitrary system of representation" by M. Latorre and FJ Montans

In response to a recent paper by Latorre and Montáns (2014), which employs fictitious paths between the second-order identity tensor and the total logarithmic strain tensor to analyse its properties, their analysis of a particular example (with a par...

JN - Stavebnictví

  • 2015
  • Jx
  • Link
Result

Equivalence problem and integrability of the Riccati equations

We consider the class of general real Riccati equations and find its Lie group of equivalence transformations. Using the Lie algebra of this Lie group and its invariants we formulate criteria of equivalence of the ...

BA - Obecná matematika

  • 2010
  • Jx
Result

On the classification of conditionally integrable evolution systems in (1 + 1) dimensions

$(1 + 1)$-dimensional evolution equations of order $n$ that admit an $N$-shock-type solution with $N leq n + 1$. For this, we develop a refinement)$-dimensional evolution systems $u_t = F (x, t, u, partial u/parti...

BA - Obecná matematika

  • 2006
  • Jx
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