Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method (Q1093822)
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scientific article; zbMATH DE number 4023919
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| English | Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method |
scientific article; zbMATH DE number 4023919 |
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Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method (English)
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1987
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[For part III see ibid. 321, 39-47 (1986; Zbl 0592.39005).] This is the fourth of a series of papers devoted to the study of periodic solutions of second-order nonlinear difference equations containing a small parameter. Here a multi-discrete time method is developed for investigating the limit cycle behaviour and its stability properties. Three examples illustrating the method are given.
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periodic solutions
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second-order nonlinear difference equations
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small parameter
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multi-discrete time method
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limit cycle
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stability
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