Approximation of limit cycle of differential systems with variable coefficients

M. Onitsuka

The behavior of the approximate solutions of two-dimensional
nonlinear differential systems with variable coefficients is considered. Using a
property of the approximate solution, so called conditional Ulam stability of
a generalized logistic equation, the behavior of the approximate solution of
the system is investigated. The obtained result explicitly presents the error
between the limit cycle and its approximation. Some examples are presented
with numerical simulations.

Archivum Mathematicum (Brno)

59

1

85

97

http://dx.doi.org/10.5817/AM2023-1-85