Arnold's transition-chain conjecture for general Hamiltonian systems

A transition chain is a chain of hyperbolic invariant tori whose stable and unstable manifolds can be shadowed by drifting orbits in a near-integrable Hamiltonian system. Arnold's transition-chain conjecture. The mechanism of transition chains should also be applicable to general Hamiltonian systems, for example to the three-body problem. This is the conjectural extension of Arnold diffusion from specially constructed near-integrable systems to general Hamiltonian problems; the source notes that results in the three-body direction remain scarce.