Publication result detail

Discretization of dynamical systems with first integrals

FEČKAN, M.; POSPÍŠIL, M.

Original Title

Discretization of dynamical systems with first integrals

English Title

Discretization of dynamical systems with first integrals

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

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.

English abstract

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.

Keywords

Numerical approximation, first integral, curvature, mechanical system

Key words in English

Numerical approximation, first integral, curvature, mechanical system

Authors

FEČKAN, M.; POSPÍŠIL, M.

RIV year

2014

Released

01.08.2013

ISBN

1078-0947

Periodical

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Volume

33

Number

8

State

United States of America

Pages from

3543

Pages to

3554

Pages count

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"
}