Vague torus

In classical mechanics, a vague torus is a region in phase space that is characterized by approximate constants of motion, as opposed to an actual torus defined by exact constants of motion. The concept of vague tori is used to describe regular (quasiperiodic) segments of otherwise chaotic trajectories.^[1]^[2]^[3]

References[edit]

^ Dana, I. (1993). "Type specification of chaos". Physical Review Letters. 70 (16): 2387–2390. Bibcode:1993PhRvL..70.2387D. doi:10.1103/PhysRevLett.70.2387. PMID 10053549.
^ Reinhardt, W. P. (1982). "Chaotic dynamics, semiclassical quantization, and mode-mode energy transfer: The Boulder view". The Journal of Physical Chemistry. 86 (12): 2158–2165. doi:10.1021/j100209a008.
^ Shirts, R. B. (1982). "Approximate constants of motion for classically chaotic vibrational dynamics: Vague tori, semiclassical quantization, and classical intramolecular energy flow". The Journal of Chemical Physics. 77 (10): 5204–5217. Bibcode:1982JChPh..77.5204S. doi:10.1063/1.443697.

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[1] Dana, I. (1993). "Type specification of chaos". Physical Review Letters. 70 (16): 2387–2390. Bibcode:1993PhRvL..70.2387D. doi:10.1103/PhysRevLett.70.2387. PMID 10053549.

[2] Reinhardt, W. P. (1982). "Chaotic dynamics, semiclassical quantization, and mode-mode energy transfer: The Boulder view". The Journal of Physical Chemistry. 86 (12): 2158–2165. doi:10.1021/j100209a008.

[3] Shirts, R. B. (1982). "Approximate constants of motion for classically chaotic vibrational dynamics: Vague tori, semiclassical quantization, and classical intramolecular energy flow". The Journal of Chemical Physics. 77 (10): 5204–5217. Bibcode:1982JChPh..77.5204S. doi:10.1063/1.443697.

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