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Geometries of phase-space

GEOMETRY OF PHASE-SPACE TRANSITION STATES MANY DIMENSIONS, ANGULAR MOMENTUM... [Pg.217]

In contrast to hyperbolic systems, the phase space structure in the mixed system is quite intricate and inhomogeneous, which brings about transport phenomena and relaxation processes essentially different from uniformly hyperbolic cases [3]. A remarkable fact is that qualitatively different classes of motions such as quasi-periodic motions on invariant tori and stochastic motions in chaotic seas coexist in a single phase space. The ordered motions associated with invariant tori are embedded in disordered motions in a self-similar way. The geometry of phase space then reflects the dynamics. [Pg.382]

See other pages where Geometries of phase-space is mentioned: [Pg.219]    [Pg.221]    [Pg.223]    [Pg.225]    [Pg.227]    [Pg.229]    [Pg.231]    [Pg.233]    [Pg.234]    [Pg.237]    [Pg.239]    [Pg.241]    [Pg.243]    [Pg.245]    [Pg.247]    [Pg.249]    [Pg.251]    [Pg.253]    [Pg.255]    [Pg.257]    [Pg.259]    [Pg.261]    [Pg.263]    [Pg.265]    [Pg.297]    [Pg.377]    [Pg.413]   


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Geometry of space

Phase space

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