Detail publikačního výsledku

Discretization of dynamical systems with first integrals

FEČKAN, M.; POSPÍŠIL, M.

Originální název

Discretization of dynamical systems with first integrals

Anglický název

Discretization of dynamical systems with first integrals

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

We find conditions under which the first integral of an ordinary differential equation becomes a discrete Lyapunov function for its numerical discretization. This result is applied for precluding periodic and bounded orbits under discretization for several cases.

Anglický abstrakt

We find conditions under which the first integral of an ordinary differential equation becomes a discrete Lyapunov function for its numerical discretization. This result is applied for precluding periodic and bounded orbits under discretization for several cases.

Klíčová slova

Numerical approximation, first integral, curvature, mechanical system

Klíčová slova v angličtině

Numerical approximation, first integral, curvature, mechanical system

Autoři

FEČKAN, M.; POSPÍŠIL, M.

Rok RIV

2014

Vydáno

01.08.2013

ISSN

1078-0947

Periodikum

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Svazek

33

Číslo

8

Stát

Spojené státy americké

Strany od

3543

Strany do

3554

Strany počet

12

BibTex

@article{BUT102762,
  author="Michal {Fečkan} and Michal {Pospíšil}",
  title="Discretization of dynamical systems with first integrals",
  journal="DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS",
  year="2013",
  volume="33",
  number="8",
  pages="3543--3554",
  doi="10.3934/dcds.2013.33.3543",
  issn="1078-0947"
}