Transport in two-dimensional maps: Concepts, examples, and a comparison of the theory of Rom-Kedar and Wiggins with the Markov model of MacKay, Meiss, Ott, and Percival
Tài liệu tham khảo
Arnold, 1978
Aubry, 1983, The twist map, the extended Frenkel-Kontorova model and the devil's staircase, Physica D, 7, 240, 10.1016/0167-2789(83)90129-X
Bensimon, 1984, Extended chaos and disappearance of KAM trajectories, Physica D, 13, 82, 10.1016/0167-2789(84)90271-9
Beigie, 1991, Chaotic transport in the homoclinic and heteroclinic tangle regions of quasiperiodically forced two dimensional dynamical systems, Nonlinearity, 10.1088/0951-7715/4/3/008
Camasa, 1991, Chaotic advection in Rayleigh-Bénard flow, Phys. Rev. A, 43, 774, 10.1103/PhysRevA.43.774
Chen, 1989
Chen, 1989, Flux, resonances, and the devil's staircase for the sawtooth map, Nonlinearity, 2, 347, 10.1088/0951-7715/2/2/009
Dana, 1989, Resonances and diffusion in periodic Hamiltonian maps, Phys. Rev. Lett., 62, 233, 10.1103/PhysRevLett.62.233
Davis, 1985, Bottlenecks to intramolecular energy transfer and the calculation of relaxation rates, J. Chem. Phys., 83, 1016, 10.1063/1.449465
Elskens, 1989, Slowly pulsating separatrices sweep homoclinic tangles where islands must be small: An extension of classical adiabatic theory, Nonlinearity
Escande, 1988, Hamiltonian chaos and adiabaticity
Henrard, 1982, Capture into resonance: An extension of the use of adiabatic invariants, Celest. Mech., 27, 3, 10.1007/BF01228946
Kaper, 1989, Transport, mixing, and stretching in a chaotic stokes flow: The two roll mill
Kemeny, 1976
Lamb, 1945
Lichtenberg, 1982
MacKay, 1984, Transport in Hamiltonian systems, Physica D, 13, 55, 10.1016/0167-2789(84)90270-7
MacKay, 1987, Resonances in area preserving maps, Physica D, 27, 1, 10.1016/0167-2789(87)90002-9
Mather, 1982, Existence of quasiperiodic orbits for twist maps of the annulus, Topology, 21, 457, 10.1016/0040-9383(82)90023-4
Meiss, 1985, Dynamical theory of anomalous particle transport, Vol. 3, 441
Meiss, 1986, Markov tree model of transport in area-preserving maps, Physica D, 20, 387, 10.1016/0167-2789(86)90041-2
Ottino, 1989
Percival, 1979, Variational principles for invariant tori and Cantori, 57, 302
Rom-Kedar, 1990, Transport rates of a family of two-dimensional maps and flows, Physica D, 43, 229, 10.1016/0167-2789(90)90135-C
Rom-Kedar, 1990, An analytical study of transport, mixing, and chaos in an unsteady vortical flow, J. Fluid Mech., 214, 347, 10.1017/S0022112090000167
Rom-Kedar, 1990, Transport in two-dimensional maps, Arch. Rat. Mech. Anal., 109, 239, 10.1007/BF00375090
Wiggins, 1988
Wiggins, 1988, On the detection and dynamical consequences of orbits homoclinic to hyperbolic periodic orbits and normally hyperbolic invariant tori in a class of ordinary differential equations, SIAM J. Appl. Math., 48, 262, 10.1137/0148013
Wiggins, 1988, Adiabatic chaos, Phys. Lett. A, 128, 339, 10.1016/0375-9601(88)90187-9
Wiggins, 1990
Wiggins, 1990, On the geometry of transport in phase space. I. transport in k-degree-of-freedom Hamiltonian systems. 2≤k<∞, Physica D, 44, 471, 10.1016/0167-2789(90)90159-M