A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model

Chapter 10. Existence of transition chains 10.1. Transition chains 10.2. The scattering map and the transversality of heteroclinic intersections 10.2.1. The non-resonant region and resonances of order 3 and higher 10.2.2. Resonances of first order 10.2.3. Resonances of order 2 10.3. Existence of transition chains to objects of different topological types Chapter 11. Orbits shadowing the transition chains and proof of theorem 4.1 Chapter 12. Conclusions and remarks 12.1. The role of secondary tori and the speed of diffusion 12.2. Comparison with [DLS00] 12.3. Heuristics on the genericity properties of the hypothesis and the phenomena 12.4. The hypothesis of polynomial perturbations 12.5. Involving other objects 12.6. Variational methods 12.7. Diffusion times Chapter 13. An example