Geodesic
Approximation of limit cycle of differential systems with variable coefficients
Archivum mathematicum, Tome 59 (2023) no. 1, pp. 85-97 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.5817/AM2023-1-85
Classification : 34A12, 34C05, 34C07, 34D10, 39A30
Keywords: approximate solution; variable coefficients; generalized logistic equation; conditional Ulam stability; limit cycle 
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Onitsuka, Masakazu. Approximation of limit cycle of differential systems with variable coefficients. Archivum mathematicum, Tome 59 (2023) no. 1, pp. 85-97. doi: 10.5817/AM2023-1-85

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