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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Derivatives of an evolution matrix and Lyapunov exponents with respect to parametersстатья
- Автор: Seyranian Alexander P.
- Журнал: Доклады Национальной академии наук Армении
- Том: 119
- Номер: 4
- Год издания: 2019
- Первая страница: 306
- Последняя страница: 314
- Аннотация: A nonlinear dynamical system dependent on parameters is considered. Formulas for derivatives of an evolution matrix of the system with respect to parameters are derived in the form of integrals of a function depending on the phase vector, its derivatives with respect to parameters and the evolution matrix taken at a given point in the parameter space. For linear periodic systems it is shown that the derived derivatives for the monodromy matrix provide the instability domains in the parameter space. For autonomous systems formulas for derivatives of the Lyapunov exponents are derived and expressed through the derivatives of the evolution matrix with respect to parameters. The obtained formulas simplify analysis of behavior of the dynamical system under change of problem parameters.
- Добавил в систему: Сейранян Александр Паруйрович