PDE admitting Lagrangian solutions with nontrivial homotopy invariants (\(\pi\)-degree, polarization index, Maslov period) (Q1176512)
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scientific article; zbMATH DE number 12072
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | PDE admitting Lagrangian solutions with nontrivial homotopy invariants (\(\pi\)-degree, polarization index, Maslov period) |
scientific article; zbMATH DE number 12072 |
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PDE admitting Lagrangian solutions with nontrivial homotopy invariants (\(\pi\)-degree, polarization index, Maslov period) (English)
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25 June 1992
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The author considers four qualitative invariants for Lagrangian cylinders ([\(\theta\)]-period, \(\pi\)-degree, polarization index and Maslov period) and shows that for specific classes of first and second order periodic differential equations in the plane there exist solution Lagrangian cylinders whose invariants are not trivial.
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\(\pi\)-degree
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polarization index
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Maslov period
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homotopy invariants
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Lagrangian solutions
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Lagrangian cylinders
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0.7462912797927856
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0.7445846199989319
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0.7374175190925598
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0.7002631425857544
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