Arnold diffuziyasi (Uzbek Wikipedia)

Analysis of information sources in references of the Wikipedia article "Arnold diffuziyasi" in Uzbek language version.

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12doi.org

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books.google.com

Florin Diacu. Celestial Encounters: The Origins of Chaos and Stability. Princeton University Press, 1996 — 193-bet. ISBN 0-691-00545-1.

doi.org

dx.doi.org

Chen, Qinbo; de la Llave, Rafael (2022-03-09). "Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems". Nonlinearity (IOP Publishing) 35 (4): 1986–2019. doi:10.1088/1361-6544/ac50bb. ISSN 0951-7715.
Mather, John N. „Arnold Diffusion by Variational Methods“, . Essays in Mathematics and its Applications. Springer Berlin Heidelberg, 2012 — 271–285-bet. DOI:10.1007/978-3-642-28821-0_11. ISBN 978-3-642-28820-3.
Bolotin, S; Treschev, D (1999-01-01). "Unbounded growth of energy in nonautonomous Hamiltonian systems". Nonlinearity (IOP Publishing) 12 (2): 365–388. doi:10.1088/0951-7715/12/2/013. ISSN 0951-7715.
Cheng, Chong-Qing; Yan, Jun (2004-07-01). "Existence of Diffusion Orbits in a priori Unstable Hamiltonian Systems". Journal of Differential Geometry (International Press of Boston) 67 (3). doi:10.4310/jdg/1102091356. ISSN 0022-040X.
Delshams, Amadeu; de la Llave, Rafael; M-Seara, Tere (2006). "A geometric mechanism for diffusion in Hamiltonian systems overcoming in the large gap problem: Heuristics and rigorous verification on a model". Mem. Am. Math. Soc. 179 (844). doi:10.1090/memo/0844.
Gelfreich, Vassili; Turaev, Dmitry (2017-04-24). "Arnold Diffusion in A Priori Chaotic Symplectic Maps". Communications in Mathematical Physics (Springer Science and Business Media LLC) 353 (2): 507–547. doi:10.1007/s00220-017-2867-0. ISSN 0010-3616.
Gidea, Marian; Llave, Rafael; M‐Seara, Tere (2019-07-24). "A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results". Communications on Pure and Applied Mathematics (Wiley) 73 (1): 150–209. doi:10.1002/cpa.21856. ISSN 0010-3640.
Cheng, Chong-Qing (2019). "The genericity of Arnold diffusion in nearly integrable Hamiltonian systems". Asian Journal of Mathematics (International Press of Boston) 23 (3): 401–438. doi:10.4310/ajm.2019.v23.n3.a3. ISSN 1093-6106.
Kaloshin, Vadim. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. Princeton University Press, 2020-11-12. DOI:10.1515/9780691204932. ISBN 978-0-691-20493-2.
Xia, Zhihong (1993). "Arnold diffusion in the elliptic restricted three-body problem". Journal of Dynamics and Differential Equations (Springer Science and Business Media LLC) 5 (2): 219–240. doi:10.1007/bf01053161. ISSN 1040-7294.
Delshams, Amadeu; Kaloshin, Vadim; de la Rosa, Abraham; Seara, Tere M. (2018-09-05). "Global Instability in the Restricted Planar Elliptic Three Body Problem". Communications in Mathematical Physics (Springer Science and Business Media LLC) 366 (3): 1173–1228. doi:10.1007/s00220-018-3248-z. ISSN 0010-3616.
Capiński, Maciej; Gidea, Marian (2021). "A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold". Communications on Pure and Applied Mathematics. doi:10.1002/cpa.22014.

hbz-nrw.de

digitale-objekte.hbz-nrw.de

Kaloshin, Vadim. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. Princeton University Press, 2020-11-12. DOI:10.1515/9780691204932. ISBN 978-0-691-20493-2.

imj-prg.fr

webusers.imj-prg.fr

Pierre Lochak, (1999) Arnold diffusion; a compendium of remarks and questions In „Hamiltonian Systems with Three or More Degrees of Freedom“ (S’Agar´o, 1995), C. Sim´o, ed, NATO ASI Series C: Math. Phys. Sci., Vol. 533, Kluwer Academic, Dordrecht (1999), 168-183.

mathnet.ru

mi.mathnet.ru

Arnold, Vladimir I. (1964). "Instability of dynamical systems with several degrees of freedom". Soviet Mathematics 5: 581–585. http://mi.mathnet.ru/eng/dan/v156/i1/p9.

rug.nl

math.rug.nl

Henk W. Broer, Mikhail B. Sevryuk (2007) KAM Theory: quasi-periodicity in dynamical systems In: H. W. Broer, B. Hasselblatt and F. Takens (eds.), Handbook of Dynamical Systems Vol. 3, North-Holland, 2010

wikipedia.org

en.wikipedia.org

Mather, John N. „Arnold Diffusion by Variational Methods“, . Essays in Mathematics and its Applications. Springer Berlin Heidelberg, 2012 — 271–285-bet. DOI:10.1007/978-3-642-28821-0_11. ISBN 978-3-642-28820-3.
Kaloshin, Vadim. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. Princeton University Press, 2020-11-12. DOI:10.1515/9780691204932. ISBN 978-0-691-20493-2.

worldcat.org

Chen, Qinbo; de la Llave, Rafael (2022-03-09). "Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems". Nonlinearity (IOP Publishing) 35 (4): 1986–2019. doi:10.1088/1361-6544/ac50bb. ISSN 0951-7715.
Bolotin, S; Treschev, D (1999-01-01). "Unbounded growth of energy in nonautonomous Hamiltonian systems". Nonlinearity (IOP Publishing) 12 (2): 365–388. doi:10.1088/0951-7715/12/2/013. ISSN 0951-7715.
Cheng, Chong-Qing; Yan, Jun (2004-07-01). "Existence of Diffusion Orbits in a priori Unstable Hamiltonian Systems". Journal of Differential Geometry (International Press of Boston) 67 (3). doi:10.4310/jdg/1102091356. ISSN 0022-040X.
Gelfreich, Vassili; Turaev, Dmitry (2017-04-24). "Arnold Diffusion in A Priori Chaotic Symplectic Maps". Communications in Mathematical Physics (Springer Science and Business Media LLC) 353 (2): 507–547. doi:10.1007/s00220-017-2867-0. ISSN 0010-3616.
Gidea, Marian; Llave, Rafael; M‐Seara, Tere (2019-07-24). "A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results". Communications on Pure and Applied Mathematics (Wiley) 73 (1): 150–209. doi:10.1002/cpa.21856. ISSN 0010-3640.
Cheng, Chong-Qing (2019). "The genericity of Arnold diffusion in nearly integrable Hamiltonian systems". Asian Journal of Mathematics (International Press of Boston) 23 (3): 401–438. doi:10.4310/ajm.2019.v23.n3.a3. ISSN 1093-6106.
Xia, Zhihong (1993). "Arnold diffusion in the elliptic restricted three-body problem". Journal of Dynamics and Differential Equations (Springer Science and Business Media LLC) 5 (2): 219–240. doi:10.1007/bf01053161. ISSN 1040-7294.
Delshams, Amadeu; Kaloshin, Vadim; de la Rosa, Abraham; Seara, Tere M. (2018-09-05). "Global Instability in the Restricted Planar Elliptic Three Body Problem". Communications in Mathematical Physics (Springer Science and Business Media LLC) 366 (3): 1173–1228. doi:10.1007/s00220-018-3248-z. ISSN 0010-3616.