# Институт вычислительной математики

и математической геофизики

# The International Conference on Computational Mathematics

ICCM-2004

June, 21-25, 2004
Novosibirsk, Academgorodok

## Abstracts

*Numerical solution of differential and integral equations*

## The saddle loop correction algorithm for two-dimentional autonomous ODE

* Ivanova E.A., Chumakova N.A., Chumakov G.A.*

**Novosibirsk state university (Novosibirsk),**

Boreskov Institute of Catalysis
To study the autonomous ODE systems with parameter we need to find maximal
parameter intervals, wherein periodic solutions exist (to construct the
maximal families of periodic solutions), and bifurcation parameter values.
We suggest the saddle loop correction iterative algorithm for
two-dimentional autonomous ODE systems. For finding the fist approach for
saddle loop we have used the algorithm of periodic solution continuation on
parameter. These algorithms we have used to study the maximal families of
periodic solutions in the kinetic model of catalytic hydrogen oxidation.
Also we have studied the influence of other parameter on the maximal
families structure.

*Note. Abstracts are published in author's edition*

© 1996-2000, Siberian Branch of Russian Academy of Sciences, Novosibirsk

Last update: 06-Jul-2012 (11:52:06)