Институт вычислительной математики
и математической геофизики

The International Conference on Computational Mathematics


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

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