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References from Periodic Orbits and KAM Tori in the Hénon–Heiles Hamiltonian System: The 1: ω Resonance Case. Local targets link to admitted publications; unresolved targets remain external evidence.
The applicability of the third integral of motion: Some numerical experiments
10.1086/109234 · 1964 · External reference
On the applicability of the third integral of motion
10.1016/0022-0396(73)90019-3 · 1973 · External reference
Orbits in global and local galactic potentials
10.1080/10556790410001704668 · 2004 · External reference
A survey of the Hénon–Heiles Hamiltonian with applications to related examples
10.1007/bfb0021739 · 1979 · External reference
Integrals and chaos in generalized Hénon–Heiles Hamiltonians
10.1088/1402-4896/adbb2a · 2025 · External reference
Integrable Hamiltonian systems and the Painlevé property
10.1103/physreva.25.1257 · 1982 · External reference
Painlevé property and integrals of motion for the Hénon–Heiles system
10.1016/0375-9601(82)90868-4 · 1982 · External reference
Integrability and non-integrability of Hamiltonian normal forms
10.1007/s10440-014-9998-5 · 2015 · External reference
Completeness of the cubic and quartic Hénon–Heiles Hamiltonians
10.1007/s11232-005-0115-9 · 2005 · External reference
Separability of an integrable case of the Hénon–Heiles system
10.1016/0375-9601(84)90535-8 · 1984 · External reference
Integrable Hénon–Heiles Hamiltonians: A Poisson algebra approach
10.1016/j.aop.2010.08.002 · 2010 · External reference
The Lissajous transformation. III. Parametric bifurcations
10.1007/bf00051693 · 1991 · External reference
On averaging, reduction, and symmetry in Hamiltonian systems
10.1016/0022-0396(83)90003-7 · 1983 · External reference
Canonical transformations depending on a small parameter
10.1007/bf01230629 · 1969 · External reference
Reeb’s theorem and periodic orbits for a rotating Hénon–Heiles potential
10.1007/s10884-019-09814-6 · 2021 · External reference
Singular reduction of resonant Hamiltonians
10.1088/1361-6544/aab591 · 2018 · External reference
Explicit numerical computation of normal forms for Poincaré maps
10.1016/j.cnsns.2025.108913 · 2025 · External reference
Invariant tori in Hamiltonian systems with high order proper degeneracy
10.1007/s00023-010-0026-7 · 2010 · External reference
Geometric averaging of Hamiltonian systems: Periodic solutions, stability, and KAM tori
10.1137/100807673 · 2011 · External reference
Periodic solutions in Hamiltonian systems, averaging, and the lunar problem
10.1137/070696453 · 2008 · External reference
10.1007/978-3-319-53691-0
10.1007/978-3-319-53691-0 · External reference
Unresolved reference
External reference
10.1007/978-3-0348-0918-4
10.1007/978-3-0348-0918-4 · External reference
Reduction of symplectic manifolds with symmetry
10.1016/0034-4877(74)90021-4 · 1974 · External reference
Unresolved reference
External reference
Sur certaines propriétés topologiques des trajectoires des systèmes dynamiques
1952 · External reference
10.1007/978-3-0348-0918-4
10.1007/978-3-0348-0918-4 · ExternalCitation · doi-reference
10.1007/978-3-319-53691-0
10.1007/978-3-319-53691-0 · ExternalCitation · doi-reference
The Lissajous transformation. III. Parametric bifurcations
10.1007/bf00051693 · ExternalCitation · doi-reference
Canonical transformations depending on a small parameter
10.1007/bf01230629 · ExternalCitation · doi-reference
A survey of the Hénon–Heiles Hamiltonian with applications to related examples
10.1007/bfb0021739 · ExternalCitation · doi-reference
Invariant tori in Hamiltonian systems with high order proper degeneracy
10.1007/s00023-010-0026-7 · ExternalCitation · doi-reference
Integrability and non-integrability of Hamiltonian normal forms
10.1007/s10440-014-9998-5 · ExternalCitation · doi-reference
Reeb’s theorem and periodic orbits for a rotating Hénon–Heiles potential
10.1007/s10884-019-09814-6 · ExternalCitation · doi-reference
Completeness of the cubic and quartic Hénon–Heiles Hamiltonians
10.1007/s11232-005-0115-9 · ExternalCitation · doi-reference
On the applicability of the third integral of motion
10.1016/0022-0396(73)90019-3 · ExternalCitation · doi-reference
On averaging, reduction, and symmetry in Hamiltonian systems
10.1016/0022-0396(83)90003-7 · ExternalCitation · doi-reference
Reduction of symplectic manifolds with symmetry
10.1016/0034-4877(74)90021-4 · ExternalCitation · doi-reference
Painlevé property and integrals of motion for the Hénon–Heiles system
10.1016/0375-9601(82)90868-4 · ExternalCitation · doi-reference
Separability of an integrable case of the Hénon–Heiles system
10.1016/0375-9601(84)90535-8 · ExternalCitation · doi-reference
Integrable Hénon–Heiles Hamiltonians: A Poisson algebra approach
10.1016/j.aop.2010.08.002 · ExternalCitation · doi-reference
Explicit numerical computation of normal forms for Poincaré maps
10.1016/j.cnsns.2025.108913 · ExternalCitation · doi-reference
Orbits in global and local galactic potentials
10.1080/10556790410001704668 · ExternalCitation · doi-reference
The applicability of the third integral of motion: Some numerical experiments
10.1086/109234 · ExternalCitation · doi-reference
Singular reduction of resonant Hamiltonians
10.1088/1361-6544/aab591 · ExternalCitation · doi-reference
Integrals and chaos in generalized Hénon–Heiles Hamiltonians
10.1088/1402-4896/adbb2a · ExternalCitation · doi-reference
Integrable Hamiltonian systems and the Painlevé property
10.1103/physreva.25.1257 · ExternalCitation · doi-reference
Periodic solutions in Hamiltonian systems, averaging, and the lunar problem
10.1137/070696453 · ExternalCitation · doi-reference
Geometric averaging of Hamiltonian systems: Periodic solutions, stability, and KAM tori
10.1137/100807673 · ExternalCitation · doi-reference
