| Continuous time Hill’s equation | Discrete time Hill’s equation |
Is a Hamiltonian system? | yes | yes |
Its Monodromy matrix is symplectic? | yes | yes |
Numbers of Arnold tongues | generically |
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Arnold Tongues begin at |
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and as in theorem 12 |
Periodic/anti-periodicsolution alternation in the boundaries of the Arnold Tongues? | yes | yes |
0-th Arnold tongue has a nonoscillatory solution? | yes | yes |