Investigation of the oscillations of essentially nonlinear systems with internal resonance (Q1115664)
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scientific article; zbMATH DE number 4087122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Investigation of the oscillations of essentially nonlinear systems with internal resonance |
scientific article; zbMATH DE number 4087122 |
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Investigation of the oscillations of essentially nonlinear systems with internal resonance (English)
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1987
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Oscillations in systems which do not become linear when the small parameter becomes equal to zero are studied. It is assumed that the generating system contains odd-order resonances. Conditionally periodic solutions of the generating and complete systems are constructed with an accuracy of up to first order in the small parameter. The results obtained represent a further development of the theory of bifurcation of the growth of a cycle from a position of equilibrium.
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nonlinear quasi-autonomous system
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Oscillations
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Conditionally periodic solutions
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theory of bifurcation
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equilibrium
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