[1] Gibbs Dzh., Osnovnye printsipy statisticheskoi mekhaniki, Gostekhizdat, M.

[2] Poincare H., “Réflexions sur la théorie cinétique des gaz”, J. Phys. théoret. et appl., 4${}^\circ $ ser., 5 (1906), 369–403

[3] Puankare A., “Zamechaniya o kmneticheskoi teorii gazov”, Izbrannye trudy, T. 3, Nauka, M., 1974, 385–412

[4] Ehrenfest T. and P., “Begriffliche grundlagen der statistische auffassung in der mechanik”, Encykl. Math. Wiss., 4 Teilband, Art. 32, 1911

[5] Kats M., Neskolko veroyatnostnykh zadach fiziki i matematiki. Klassicheskie paradoksy, Nauka, M., 1967 | Zbl

[6] Tsermelo E., “Ob odnom polozhenii dinamiki v svyazi s mekhanicheskoi teorii teploty”, “Lyudvig Boltsman”. Stati i rechi, Nauka, M., 1970

[7] Ulenbek Dzh., Ford Dzh., Lektsii po statisticheskoi mekhanike, Mir, M., 1965

[8] Zubarev D. N., “Sovremennye metody statisticheskoi teorii neravnovesnykh protsessov”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 15, VINITI, M., 1980, 131–228 | MR

[9] Landau L. D., Lifshits E. M., Statisticheskaya fizika, Nauka, M., 1964 | Zbl

[10] Fermi E., “On the origin of the cosmic radiation”, Phys. Rev., 75:8 (1949), 1169–1174 | DOI | Zbl

[11] Pustylnikov L. D., “O mekhanike vozniknoveniya neobratimosti i neogranichennom roste energii v odnoi modeli statisticheskoi mekhaniki”, TMF, 86:1 (1991), 120–129 | MR | Zbl

[12] Kornfeld I. P., Sinai Ya. G., Fomin S. V., Ergodicheskaya teoriya, Nauka, M., 1980 | Zbl

[13] Ulam S., “On some statistical properties of dynamical systems”, Proc. 4-th Berkeley Sympos. on Math. and Probabil., V. 3, Berkeley–Los Angeles, 1961, 315 ; МатРμматика, 7 (1963), 137–142 | Zbl

[14] Pustylnikov L. D., “Ob odnoi zadache Ulama”, TMF, 57:1 (1983), 128–132 | MR

[15] Pustylnikov L. D., “O modeli Fermi–Ulama”, DAN SSSR, 292:3 (1987), 549–553 | MR | Zbl

[16] Zaslavskii G. M., Chirikov B. V., “Mekhanizm uskoreniya Fermi v odnomernom sluchae”, DAN SSSR, 159 (1964), 306–309

[17] Mozer Yu., “Ob invariantnykh krivykh sokhranyayuschego ploschad otobrazheniya koltsa v sebya”, Matematika, 6:5 (1963), 51–67

[18] Mozer Yu., Lektsii o gamiltonovykh sistemakh, Mir, M., 1973

[19] Pustylnikov L. D., “Novyi mekhanizm uskoreniya chastits i relyativistskii analog modeli Fermi–Ulama”, TMF, 77:1 (1988), 154–160 | MR

[20] Pustylnikov L. D., “Novyi mekhanizm uskoreniya chastits i chisla vrascheniya”, TMF, 82:2 (1990), 257–267 | MR

[21] Brin M. I., Pesin Ya. B., “Chastichno giperbolicheskie dinamicheskie sistemy”, Izv. AN SSSR. Ser. matem., 38:1 (1974), 170–212 | MR | Zbl

[22] Puankare A., O krivykh, opredelyaemykh differentsialnymi uravneniyami, Gostekhizdat, M.–L., 1947

[23] Arnold V. I., “Malye znamenateli, 1”, Izv. AN SSSR. Ser. matem., 25:1 (1961), 21–86 | MR | Zbl

[24] Herman M. R., “Sur la conjugation differentiable des difféomorphismes du cercle à des rotations”, Publ. Math. IHES, 49 (1979), 5–234 | MR

[25] Pustylnikov L. D., “Ob odnoi dinamicheskoi sisteme”, UMN, XXIII:4 (142) (1968), 251–252 | MR

[26] Pustylnikov L. D., “Suschestvovanie mnozhestva polozhitelnoi mery ostsilliruyuschikh dvizhenii v odnoi zadache mekhaniki”, DAN SSSR, 202:2 (1972), 287–289 | MR | Zbl

[27] Pustylnikov L. D., “Ustoichivye i ostsilliruyuschie dvizheniya v neavtonomnykh dinamicheskikh sistemakh, II”, Trudy MMO, 34, 1977, 3–103 | MR | Zbl

[28] Zaslavskii G. M., Statisticheskaya neobratimost v nelineinykh sistemakh, Nauka, M., 1970

[29] Zaslavskii G. M., Stokhastichnost dinamicheskikh sistem, Nauka, M., 1984 | Zbl

[30] Anosov D. V., “Geodezicheskie potoki na zamknutykh rimanovykh mnogoobraziyakh otritsatelnoi krivizny”, Trudy MIAN, 90, 1967, 3–210 | MR

[31] Birkgof Dzh., Dinamicheskie sistemy, Gostekhizdat, M.–L., 1940

[32] Arnold V. I., “Malye znamenateli i problemy ustoichivosti v klassicheskoi i nebesnoi mekhanike”, UMN, XVIII:6(114) (1963), 91–192

[33] Pustylnikov L. D., “Ob ustoichivosti polutraektorii pri otobrazhenii ploskosti, sokhranyayuschem ploschad”, DAN SSSR, 202:1 (1972), 38–40 | MR | Zbl

[34] Pustylnikov L. D., “O strogom obosnovanii vozmozhnosti neogranichennogo rosta energii chastits v odnoi zadache yadernoi fiziki”, DAN SSSR, 283:3 (1985), 550–553 | MR

[35] Pustylnikov L. D., “Ob ostsilliruyuschikh dvizheniyakh v odnoi dinamicheskoi sisteme”, Izv. AN SSSR. Ser. matem., 51:5 (1987), 1010–1032 | Zbl

[36] Pustylnikov L. D., “Ob odnoi dinamicheskoi sisteme s beskonechnym chislom stepenei svobody i o reshenii zadachi Frenkelya i Kontorovoi”, TMF, 86:1 (1986), 58–68 | MR

[37] Pustylnikov L. D., “Ob asimptoticheskom povedenii traektorii standartnogo otobrazheniya”, Matem. zametki, 39:5 (1986), 719–726 | MR | Zbl

[38] Pustylnikov L. D., “Neogranichennyi rost peremennoi deistviya v nekotorykh fizicheskikh modelyakh i problema stokhastichnosti”, DAN SSSR, 241:5 (1978), 1035–1038 | MR | Zbl

[39] Pustylnikov L. D., “Neogranichennyi rost peremennoi deistviya v nekotorykh fizicheskikh modelyakh”, Trudy MMO, 46, 1983, 187–200 | MR

[40] Arnold V. I., “O neustoichivosti dinamicheskoi sistemy so mnogimi stepenyami svobody”, DAN SSSR, 156:1 (1964), 9–12 | MR | Zbl

[41] Siegel C. L., “Iteration on Analytic Function”, Ann. Math., 43 (1942), 607–612 | DOI | MR | Zbl

[42] Zigel K. L., Lektsii po nebesnoi mekhanike, IL, M., 1959

[43] Bryuno A. D., “Analiticheskaya forma differentsialnykh uravnenii”, Trudy MMO, XXV, 1971, 119–262

[44] Pustylnikov L. D., “Ustoichivye i ostsilliruyuschie dvizheniya v neavtonomnykh dinamicheskikh sistemakh. Obobschenie teoremy K. L. Zigelya na neavtonomnyi sluchai”, Matem. sb., 94:7 (1974), 407–429 | MR | Zbl

[45] Montel P., Normalnye semeistva analiticheskikh funktsii, ONTI, M.–L., 1936

[46] Landau L. D., Livshits E. M., Teoriya polya, Fizmatgiz, M., 1962

[47] Pustylnikov L. D., “Suschestvovanie invariantnykh krivykh dlya otobrazhenii, blizkikh k vyrozhdennym, i reshenie problemy Fermi–Ulama”, Matem. sb., 185:6 (1994), 1–12

[48] Dovbysh S. A., “Kolmogorovskaya ustoichivost, nevozmozhnost razgona Fermi i suschestvovanie periodicheskikh reshenii v nekotorykh sistemakh tipa gamiltonovykh”, Prikladnaya matematika i mekhanika, 56:2 (1992), 218–229 | MR | Zbl

[49] Pustyl'nikov L. D., “A Model of Poincaré and Rigorous Proof of the Second Element of Thermodynamics from Mechanics”, Hamiltonian Mechanics: Integrability and Chaotic Behavior, Plenum Publ. Corp., New York, 1994, 295–297