Slow Relaxations and Bifurcations of the Limiting Sets of Dynamical Systems.~III. Slow Relaxations of a~Separate Semi-Flow
Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 4, pp. 35-43.

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We study the relations of various types of slow relaxations of a dynamical system to its specific behavior both in the general situation, when the phase space of the system is an arbitrary compact metric space, and in the case that it is a smooth manifold which is particulary useful in applications.
Keywords: one-parameter semigroups of homeomorphisms, slow relaxations, bifurcations of limiting sets.
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A. N. Gorban'; V. M. Cheresiz. Slow Relaxations and Bifurcations of the Limiting Sets of Dynamical Systems.~III. Slow Relaxations of a~Separate Semi-Flow. Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 4, pp. 35-43. http://geodesic.mathdoc.fr/item/SJIM_2009_12_4_a3/

[1] Gorban A. N., Cheresiz V. M., “Medlennye relaksatsii i bifurkatsii predelnykh mnozhestv dinamicheskikh sistem. I. Bifurkatsii predelnykh mnozhestv”, Sib. zhurn. industr. matematiki, 11:4(36) (2008), 34–46 | MR

[2] Gorban A. N., Cheresiz V. M., “Medlennye relaksatsii i bifurkatsii predelnykh mnozhestv dinamicheskikh sistem. II. Medlennye relaksatsii semeistva potokov”, Sib. zhurn. industr. matematiki, 12:2(38) (2009), 27–37

[3] Arnold V. I., Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1978 | MR

[4] Zubov V. I., Ustoichivost dvizheniya, Vyssh. shkola, M., 1973 | MR | Zbl

[5] Pyu Ch., “Lemma o zamykanii”, Matematika, 12:6 (1968), 81–135

[6] Pyu Ch., “Usilenie lemmy o zamykanii i teorema plotnosti”, Matematika, 12:6 (1968), 136–146

[7] Andronov A. A., Leontovich E. A., Gordon I. I., Maier A. G., Kachestvennaya teoriya dinamicheskikh sistem na ploskosti, Nauka, M., 1966 | MR | Zbl

[8] Baggis G. F., “Grubye sistemy dvukh differentsialnykh uravnenii”, Uspekhi mat. nauk, 10:4 (1955), 101–126 | MR | Zbl

[9] Peixoto M., “Structural stability on two-dimensional manifolds”, Topology, 1 (1962), 101–120 | DOI | MR | Zbl

[10] Anosov D. V., Geodezicheskie potoki na zamknutykh rimanovykh mnogoobraziyakh otritsatelnoi krivizny, Trudy Mat. in-ta im. V. A. Steklova, 90, 1967, 211 pp. | MR | Zbl

[11] Smeil S., “Differentsiruemye dinamicheskie sistemy”, Uspekhi mat. nauk, 25:1 (1970), 113–185 | MR

[12] Bouen R., “Simvolicheskaya dinamika giperbolicheskikh potokov”, Metody simvolicheskoi dinamiki, Mir, M., 1979, 106–143

[13] Bykov V. I., Gorban A. N., Pushkareva T. P., “Osobennosti vremen relaksatsii v reaktsii okisleniya CO na platine”, Teor. i eksperiment. khimiya, 18:4 (1982), 431–439 | MR

[14] Gorban A. N., Cheresiz V. M., “Effekty kriticheskogo zamedleniya i medlennye relaksatsii”, Pryamye i obratnye zadachi v khimicheskoi kinetike, Nauka, Novosibirsk, 1993, 107–128 | MR

[15] Elokhin V. I., Yablonskii G. S., Gorban A. N., Cheresiz V. M., “Dynamics of chemical reactions and nonphysical steady states”, React. Kinet. Catal. Lett., 15:2 (1980), 245–250 | DOI