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FEČKAN, M. POSPÍŠIL, M.
Original Title
Discretization of dynamical systems with first integrals
Type
journal article - other
Language
English
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.
Keywords
Numerical approximation, first integral, curvature, mechanical system
Authors
FEČKAN, M.; POSPÍŠIL, M.
RIV year
2013
Released
1. 8. 2013
ISBN
1078-0947
Periodical
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Year of study
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" }