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- W4321220436 abstract "In a recent paper Mazrooei-Sebdani et al study a particular case of 1 : 2 : 1 : 2 Hamiltonian normal form, truncated to order 3. They find several cases of integrability. The main purpose of this work is to find other integrable cases. First, we obtain some integrable cases considering the known results about integrability the normal forms of 1 : 2 : 2 and 1 : 1 : 2 resonances. Then, we simplify this particular normal form, prove a non-integrability theorem and isolate a couple of non-trivial cases of integrability. These results can be applied, for example, in the study of normal forms of coupled elastic pendulums or coupled double pendulums, both in 1 : 2 resonance. On the other hand, it is definitely worth exploring the local and global properties of the geometry and the dynamics of all integrable cases, found here" @default.
- W4321220436 created "2023-02-18" @default.
- W4321220436 creator A5072494487 @default.
- W4321220436 date "2023-01-01" @default.
- W4321220436 modified "2023-09-26" @default.
- W4321220436 title "On the integrability of twofold 1 : 2 Hamiltonian resonance" @default.
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- W4321220436 doi "https://doi.org/10.3934/dcdsb.2023023" @default.
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