Periodic solutions to a nonlinear sampled-data system in a neighborhood of a generating family of quasiperiodic solutions (Q5942168)
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scientific article; zbMATH DE number 1638001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions to a nonlinear sampled-data system in a neighborhood of a generating family of quasiperiodic solutions |
scientific article; zbMATH DE number 1638001 |
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Periodic solutions to a nonlinear sampled-data system in a neighborhood of a generating family of quasiperiodic solutions (English)
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17 January 2002
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The authors consider nonlinear differential equations with impulsive action on surfaces which are placed in phase space. The Poincaré-Lyapunov method of small parameters is implemented to receive results on existence and stability for periodic solutions in the case when the generating equation admits a family of discontinuous quasiperiodic solutions.
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discontinuous periodic solution
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discontinuous quasiperiodic solution
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impulsive system
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stability
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