We explore the existence of multiple periodic solutions for coupled Hamiltonian systems with distinct structural behaviors. One system exhibits the Poincaré–Birkhoff twist-type structure, while the other is characterized by a singular nonlinearity near the origin. Our results are established through a detailed phase plane analysis.
An Extension of the Poincaré–Birkhoff Theorem to Systems Having Singular Nonlinearities / Mamo, N. G.; Sfecci, A.; Ullah, W.. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - (2026), pp. ---. [10.1007/s10884-025-10480-0]
An Extension of the Poincaré–Birkhoff Theorem to Systems Having Singular Nonlinearities
Mamo N. G.;Sfecci A.
;Ullah W.
2026-01-01
Abstract
We explore the existence of multiple periodic solutions for coupled Hamiltonian systems with distinct structural behaviors. One system exhibits the Poincaré–Birkhoff twist-type structure, while the other is characterized by a singular nonlinearity near the origin. Our results are established through a detailed phase plane analysis.File in questo prodotto:
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