The Hénon–Heiles system is a classic model in dynamical systems and astrophysics that describes the motion of a particle in a two-dimensional potential well. This system is specifically notable for its chaotic behavior and is often used as a prototypical example of non-integrable Hamiltonian systems.
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The Hénon-Heiles system is a Hamiltonian system with two degrees of freedom and Hamiltonian functionIts Hamilton's equations give and . Its potential energy combines an isotropic quadratic minimum with a cubic interaction.