On the existence of separatrix loops in four-dimensional systems similar to the integrable Hamiltonian systems (Q760219)
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scientific article; zbMATH DE number 3883663
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of separatrix loops in four-dimensional systems similar to the integrable Hamiltonian systems |
scientific article; zbMATH DE number 3883663 |
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On the existence of separatrix loops in four-dimensional systems similar to the integrable Hamiltonian systems (English)
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1984
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Using a method similar to the well-known Melnikov method, the authors derive conditions for the existence of separatrix loops for a singularity of saddle focus type for vector fields in \({\mathbb{R}}^ 4\) close to completely integrable ones.
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integrable Hamiltonian systems
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modified Melnikov method
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fourdimensional system
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separatrix loops
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singularity of saddle focus type
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