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Keywords:
approximate solution; variable coefficients; generalized logistic equation; conditional Ulam stability; limit cycle
approximate solution; variable coefficients; generalized logistic equation; conditional Ulam stability; limit cycle
Summary:
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.
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