Hamiltonian model near resonance from unperturbed Hamiltonian bar perturbation distance to resonance a frequency that depends on radius resonant angle bar strength Fourier components with fast angles can be neglected via averaging Hamiltonian then only contains one angle, so can perform a canonical transformation and reduce to a one dimensional system
{"Image DocumentName": "Hamiltonian model near resonance", "Image ImageDescription": "from unperturbed Hamiltonian. bar perturbation. resonant angle. distance to resonance. a frequency that. depends on radius. bar strength. Fourier components with fast angles can be neglected via averaging. Hamiltonian then only contains one angle, so can perform a canonical transformation and reduce to a one dimensional system.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}