Rui, Jie; Zhang, Min; Wang, Yi Kolmogorov-Arnold-Moser theorem for nonlinear beam equations with almost-periodic forcing. (English) Zbl 1451.35094 J. Math. Anal. Appl. 493, No. 2, Article ID 124529, 27 p. (2021). MSC: 35L76 35L30 35B15 37K55 74K10 PDF BibTeX XML Cite \textit{J. Rui} et al., J. Math. Anal. Appl. 493, No. 2, Article ID 124529, 27 p. (2021; Zbl 1451.35094) Full Text: DOI
Shi, Guanghua; Yan, Dongfeng Quasi-periodic solutions for nonlinear Schrödinger equations with Legendre potential. (English) Zbl 1454.37069 Taiwanese J. Math. 24, No. 3, 663-679 (2020). Reviewer: Xiang-Dong Fang (Dalian) MSC: 37K55 37C55 35Q55 35B15 PDF BibTeX XML Cite \textit{G. Shi} and \textit{D. Yan}, Taiwanese J. Math. 24, No. 3, 663--679 (2020; Zbl 1454.37069) Full Text: DOI Euclid
Marichev, O. I.; Slavyanov, S. Yu.; Brychkov, Yu. A. Bell polynomials in the Mathematica system and asymptotic solutions of integral equations. (English. Russian original) Zbl 07212978 Theor. Math. Phys. 201, No. 3, 1798-1807 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 446-456 (2019). MSC: 45B05 PDF BibTeX XML Cite \textit{O. I. Marichev} et al., Theor. Math. Phys. 201, No. 3, 1798--1807 (2019; Zbl 07212978); translation from Teor. Mat. Fiz. 201, No. 3, 446--456 (2019) Full Text: DOI
Li, Jia; Zhu, Chunpeng The reducibility of a class of quasi-periodic nonlinear Hamiltonian systems. (Chinese. English summary) Zbl 1449.37040 J. Anhui Univ., Nat. Sci. 43, No. 3, 7-10 (2019). MSC: 37J40 37J11 PDF BibTeX XML Cite \textit{J. Li} and \textit{C. Zhu}, J. Anhui Univ., Nat. Sci. 43, No. 3, 7--10 (2019; Zbl 1449.37040) Full Text: DOI
Chulaevsky, Victor The KAM approach to the localization in “haarsch” quasi-periodic media. (English) Zbl 1383.82026 J. Math. Phys. 59, No. 1, 013509, 18 p. (2018). MSC: 82B44 39A70 37C75 70H14 35J10 PDF BibTeX XML Cite \textit{V. Chulaevsky}, J. Math. Phys. 59, No. 1, 013509, 18 p. (2018; Zbl 1383.82026) Full Text: DOI
Al-Aidarous, Eman S.; Alzahrani, Ebraheem O.; Ishii, Hitoshi; Younas, Arshad M. M. A convergence result for the ergodic problem for Hamilton-Jacobi equations with Neumann-type boundary conditions. (English) Zbl 1350.35063 Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 2, 225-242 (2016). MSC: 35F21 35B40 35D40 35F30 37J50 49L25 37K55 PDF BibTeX XML Cite \textit{E. S. Al-Aidarous} et al., Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 2, 225--242 (2016; Zbl 1350.35063) Full Text: DOI
Mi, Lufang; Cong, Hongzi Quasi-periodic solutions for \(d\)-dimensional beam equation with derivative nonlinear perturbation. (English) Zbl 1321.35232 J. Math. Phys. 56, No. 7, 072702, 14 p. (2015). MSC: 35Q74 74K10 35L53 70H08 70K43 PDF BibTeX XML Cite \textit{L. Mi} and \textit{H. Cong}, J. Math. Phys. 56, No. 7, 072702, 14 p. (2015; Zbl 1321.35232) Full Text: DOI
Liu, Jianjun; Yuan, Xiaoping KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions. (English) Zbl 1285.35111 J. Differ. Equations 256, No. 4, 1627-1652 (2014). MSC: 35Q55 35B65 37K55 35B10 PDF BibTeX XML Cite \textit{J. Liu} and \textit{X. Yuan}, J. Differ. Equations 256, No. 4, 1627--1652 (2014; Zbl 1285.35111) Full Text: DOI
de Jong, Thomas KAM theory and the stability of the solar system. (Dutch) Zbl 1298.85002 Nieuw Arch. Wiskd. (5) 14, No. 4, 259-262 (2013). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 85A05 85A04 83C10 37N20 37J40 70F07 PDF BibTeX XML Cite \textit{T. de Jong}, Nieuw Arch. Wiskd. (5) 14, No. 4, 259--262 (2013; Zbl 1298.85002)
Maier, Rodrigo Nonlinear resonance in Hořava-Lifshitz bouncing cosmologies. (English) Zbl 1271.83093 Classical Quantum Gravity 30, No. 11, Article ID 115011, 17 p. (2013). MSC: 83F05 83C15 83D05 37N20 PDF BibTeX XML Cite \textit{R. Maier}, Classical Quantum Gravity 30, No. 11, Article ID 115011, 17 p. (2013; Zbl 1271.83093) Full Text: DOI
Berti, Massimiliano; Bolle, Philippe Quasi-periodic solutions of nonlinear Schrödinger equations on \(T^{d}\). (English) Zbl 1230.35126 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 22, No. 2, 223-236 (2011). Reviewer: Chengbo Wang (Hangzhou) MSC: 35Q55 37K55 37K50 PDF BibTeX XML Cite \textit{M. Berti} and \textit{P. Bolle}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 22, No. 2, 223--236 (2011; Zbl 1230.35126) Full Text: DOI
Zhang, Min; Si, Jianguo Quasi-periodic solutions of nonlinear wave equations with quasi-periodic forcing. (English) Zbl 1183.37122 Physica D 238, No. 22, 2185-2215 (2009). MSC: 37K55 35L70 35L05 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Si}, Physica D 238, No. 22, 2185--2215 (2009; Zbl 1183.37122) Full Text: DOI
Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz; Vanderbauwhede, André Quasi-periodic stability of normally resonant tori. (English) Zbl 1156.37318 Physica D 238, No. 3, 309-318 (2009). MSC: 37J40 37J25 70H05 PDF BibTeX XML Cite \textit{H. W. Broer} et al., Physica D 238, No. 3, 309--318 (2009; Zbl 1156.37318) Full Text: DOI arXiv
Bogdanov, R. I.; Bogdanov, M. R. Thermal parameters of jet flows in the weakly dissipative Kolmogorov-Arnold-Moser theory. (Russian, English) Zbl 1199.82002 Dokl. Akad. Nauk, Ross. Akad. Nauk 423, No. 5, 612-615 (2008); translation in Dokl. Phys., Phys. 53, No. 11, 616-618, (2008). Reviewer: Andrei Zemskov (Moskva) MSC: 82B05 37J45 PDF BibTeX XML Full Text: Link
Sevryuk, Mikhail B. KAM tori: Persistence and smoothness. (English) Zbl 1148.37032 Nonlinearity 21, No. 10, T177-T185 (2008). MSC: 37J40 70H08 70H33 70K43 PDF BibTeX XML Cite \textit{M. B. Sevryuk}, Nonlinearity 21, No. 10, T177--T185 (2008; Zbl 1148.37032) Full Text: DOI
de la Llave, Rafael KAM theory for equilibrium states in 1-D statistical mechanics models. (English) Zbl 1163.82002 Ann. Henri Poincaré 9, No. 5, 835-880 (2008). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B05 PDF BibTeX XML Cite \textit{R. de la Llave}, Ann. Henri Poincaré 9, No. 5, 835--880 (2008; Zbl 1163.82002) Full Text: DOI
Carati, A. An averaging theorem for Hamiltonian dynamical systems in the thermodynamic limit. (English) Zbl 1136.82027 J. Stat. Phys. 128, No. 4, 1057-1077 (2007). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82C20 34E10 82C22 PDF BibTeX XML Cite \textit{A. Carati}, J. Stat. Phys. 128, No. 4, 1057--1077 (2007; Zbl 1136.82027) Full Text: DOI
Hallan, P. P.; Binod, Khundrakpam; Mangang, Binod Nonlinear stability of equilibrium point in the Robe’s restricted circular three-body problem. (English) Zbl 1113.70014 Indian J. Pure Appl. Math. 38, No. 1, 17-30 (2007). MSC: 70F07 70K20 PDF BibTeX XML Cite \textit{P. P. Hallan} et al., Indian J. Pure Appl. Math. 38, No. 1, 17--30 (2007; Zbl 1113.70014)
Why Newton’s method is hard for travelling waves: small denominators, KAM theory, Arnold’s linear Fourier problem, non-uniqueness, constraints and erratic failure. (English) Zbl 1107.65351 Math. Comput. Simul. 74, No. 2-3, 72-81 (2007). MSC: 65P30 35K55 37K10 37K50 37M20 65M06 PDF BibTeX XML Cite Math. Comput. Simul. 74, No. 2--3, 72--81 (2007; Zbl 1107.65351) Full Text: DOI
Xu, Junxiang Normal form of reversible systems and persistence of lower dimensional tori under weaker nonresonance conditions. (English) Zbl 1075.37020 SIAM J. Math. Anal. 36, No. 1, 233-255 (2004). MSC: 37J40 34C14 34C20 37C80 70K43 70K45 PDF BibTeX XML Cite \textit{J. Xu}, SIAM J. Math. Anal. 36, No. 1, 233--255 (2004; Zbl 1075.37020) Full Text: DOI
Broer, Henk W. KAM theory: The legacy of Kolmogorov’s 1954 paper. (English) Zbl 1050.37030 Bull. Am. Math. Soc., New Ser. 41, No. 4, 507-521 (2004). MSC: 37J40 37-03 70H08 34C15 PDF BibTeX XML Cite \textit{H. W. Broer}, Bull. Am. Math. Soc., New Ser. 41, No. 4, 507--521 (2004; Zbl 1050.37030) Full Text: DOI
Tuwankotta, J. M.; Verhulst, F. Hamiltonian systems with widely separated frequencies. (English) Zbl 1029.37038 Nonlinearity 16, No. 2, 689-706 (2003). MSC: 37J40 70K65 70H05 PDF BibTeX XML Cite \textit{J. M. Tuwankotta} and \textit{F. Verhulst}, Nonlinearity 16, No. 2, 689--706 (2003; Zbl 1029.37038) Full Text: DOI
Kappeler, Thomas; Pöschel, Jürgen KdV & KAM. (English) Zbl 1032.37001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. 45. Berlin: Springer. xii, 279 p. (2003). Reviewer: A.Pickering (Salamanca) MSC: 37-02 35Q53 37K15 37K55 37K10 37J40 PDF BibTeX XML Cite \textit{T. Kappeler} and \textit{J. Pöschel}, KdV \& KAM. Berlin: Springer (2003; Zbl 1032.37001)
Popov, Georgi KAM tori and quantum Birkhoff normal forms. (English) Zbl 1056.37078 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1999-2000, Exp. No. XX, 15 p. (2000). MSC: 37J40 70H08 81Q10 81Q20 PDF BibTeX XML Cite \textit{G. Popov}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1999--2000, Exp. No. XX, 15 p. (2000; Zbl 1056.37078) Full Text: Numdam EuDML
Huang, Debin; Liu, Zengrong On the persistence of lower-dimensional invariant hyperbolic tori for smooth Hamiltonian systems. (English) Zbl 1005.37029 Nonlinearity 13, No. 1, 189-202 (2000). MSC: 37J40 70H09 PDF BibTeX XML Cite \textit{D. Huang} and \textit{Z. Liu}, Nonlinearity 13, No. 1, 189--202 (2000; Zbl 1005.37029) Full Text: DOI
Farago, Oded; Kantor, Yacov Pseudo-boundaries in discontinuous two-dimensional maps. (English) Zbl 0958.37024 J. Phys. A, Math. Gen. 31, No. 2, 445-451 (1998). MSC: 37J10 37J40 37C99 37N05 PDF BibTeX XML Cite \textit{O. Farago} and \textit{Y. Kantor}, J. Phys. A, Math. Gen. 31, No. 2, 445--451 (1998; Zbl 0958.37024) Full Text: DOI
Bridges, Thomas J. Toral-equivariant partial differential equations and quasiperiodic patterns. (English) Zbl 0920.35132 Nonlinearity 11, No. 3, 467-500 (1998). Reviewer: Dimitar Kolev (Sofia) MSC: 35Q53 35Q55 PDF BibTeX XML Cite \textit{T. J. Bridges}, Nonlinearity 11, No. 3, 467--500 (1998; Zbl 0920.35132) Full Text: DOI
Pöschel, Jürgen Nonlinear partial differential equations, Birkhoff normal forms, and KAM theory. (English) Zbl 0921.35156 Balog, A. (ed.) et al., European congress of mathematics (ECM), Budapest, Hungary, July 22–26, 1996. Volume II. Basel: Birkhäuser. Prog. Math. 169, 167-186 (1998). Reviewer: Dimitar Kolev (Sofia) MSC: 35Q53 35Q55 PDF BibTeX XML Cite \textit{J. Pöschel}, Prog. Math. 169, 167--186 (1998; Zbl 0921.35156)
Shivamoggi, Bhimsen K. Nonlinear dynamics and chaotic phenomena. An introduction. (English) Zbl 0909.76002 Fluid Mechanics and its Applications. 42. Dordrecht: Kluwer Academic Publishers. xiii, 404 p. (1997). Reviewer: W.Koch (Göttingen) MSC: 76-01 76F20 37Cxx PDF BibTeX XML Cite \textit{B. K. Shivamoggi}, Nonlinear dynamics and chaotic phenomena. An introduction. Dordrecht: Kluwer Academic Publishers (1997; Zbl 0909.76002)
Hu, Bambi The Frenkel-Kontorova model: classical generalizations and quantum glimpses. (English) Zbl 0903.58038 Feng, Da Hsuan (ed.) et al., Quantum classical correspondence. Proceedings of the 4th Drexel symposium on quantum nonintegrability, Philadelphia, PA, USA, September 8–11, 1994. Cambridge, MA: International Press. 445-452 (1997). MSC: 37N99 81Q50 81V70 PDF BibTeX XML Cite \textit{B. Hu}, in: Quantum classical correspondence. Proceedings of the 4th Drexel symposium on quantum nonintegrability, Philadelphia, PA, USA, September 8--11, 1994. Cambridge, MA: International Press. 445--452 (1997; Zbl 0903.58038)
Nauenberg, Michael Appendix: Historical remarks on chaos. (English) Zbl 0877.58001 Lam, Lui (ed.), Introduction to nonlinear physics. New York, NY: Springer. 401-406 (1997). Reviewer: E.D.Belokolos (Kiev) MSC: 58-03 01A65 37N99 37G99 82C28 37J35 37K10 37D45 PDF BibTeX XML Cite \textit{M. Nauenberg}, in: Introduction to nonlinear physics. New York, NY: Springer. 401--406 (1997; Zbl 0877.58001)
Chicone, C.; Mashhoon, B.; Retzloff, D. G. On the ionization of a Keplerian binary system by periodic gravitational radiation. (English) Zbl 0869.70009 J. Math. Phys. 37, No. 8, 3997-4016 (1996). MSC: 70H40 70F05 70H05 83C35 PDF BibTeX XML Cite \textit{C. Chicone} et al., J. Math. Phys. 37, No. 8, 3997--4016 (1996; Zbl 0869.70009) Full Text: DOI
Gentile, G.; Mastropietro, V. Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics. A review with some applications. (English) Zbl 0870.70012 Rev. Math. Phys. 8, No. 3, 393-444 (1996). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 70H05 81T17 37J99 PDF BibTeX XML Cite \textit{G. Gentile} and \textit{V. Mastropietro}, Rev. Math. Phys. 8, No. 3, 393--444 (1996; Zbl 0870.70012) Full Text: DOI
Wayne, C. Eugene An introduction to KAM theory. (English) Zbl 0844.58037 Deift, Percy (ed.) et al., Dynamical systems and probabilistic methods in partial differential equations. 1994 summer seminar on dynamical systems and probabilistic methods for nonlinear waves, June 20-July 1, 1994, MSRI, Berkeley, CA, USA. Providence, RI: American Mathematical Society. Lect. Appl. Math. 31, 3-29 (1996). Reviewer: S.Nenov (Sofia) MSC: 37J99 34C20 70H05 PDF BibTeX XML Cite \textit{C. E. Wayne}, in: Dynamical systems and probabilistic methods in partial differential equations. 1994 summer seminar on dynamical systems and probabilistic methods for nonlinear waves, June 20-July 1, 1994, MSRI, Berkeley, CA, USA. Providence, RI: American Mathematical Society. 3--29 (1996; Zbl 0844.58037)
Sevryuk, M. B. KAM-stable Hamiltonians. (English) Zbl 0951.37038 J. Dyn. Control Syst. 1, No. 3, 351-366 (1995). Reviewer: Samir Musayev (Baku) MSC: 37K55 37K10 37C55 70H08 70H09 PDF BibTeX XML Cite \textit{M. B. Sevryuk}, J. Dyn. Control Syst. 1, No. 3, 351--366 (1995; Zbl 0951.37038) Full Text: DOI
Christov, Ognyan On the Kolmogorov’s condition for a special case of the Kirchhoff top. (English) Zbl 0809.70011 J. Math. Phys. 35, No. 7, 3448-3463 (1994). MSC: 70H05 70E15 76B99 37J99 PDF BibTeX XML Cite \textit{O. Christov}, J. Math. Phys. 35, No. 7, 3448--3463 (1994; Zbl 0809.70011) Full Text: DOI
Hu, Bambi; Yuan, Xiaofeng On the study of KAM tori in a class of generalized FK model. (English) Zbl 0812.58055 Research Report. Mathematical Sciences. 63. Chengdu: Academia Sinica, 14 p. (1994). Reviewer: R.Cowen (Nairobi) MSC: 37A99 PDF BibTeX XML Cite \textit{B. Hu} and \textit{X. Yuan}, On the study of KAM tori in a class of generalized FK model. Chengdu: Academia Sinica (1994; Zbl 0812.58055)
Cheng, Chong-Qing; Sun, Yi-Sui Existence of KAM tori in degenerate Hamiltonian systems. (English) Zbl 0813.58050 J. Differ. Equations 114, No. 1, 288-335 (1994). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 37J40 70F10 37G05 34C20 PDF BibTeX XML Cite \textit{C.-Q. Cheng} and \textit{Y.-S. Sun}, J. Differ. Equations 114, No. 1, 288--335 (1994; Zbl 0813.58050) Full Text: DOI
Reichl, L. E. The transition to chaos. In conservative classical systems: quantum manifestations. Based on lectures given at the Institute for Nonlinear Science, University of California, San Diego, CA, USA, 1987. (English) Zbl 0776.70003 New York: Springer-Verlag. xvi, 551 p. (1992). Reviewer: K.Brod (Raunheim) MSC: 70-01 70K50 37D45 81Q50 PDF BibTeX XML Cite \textit{L. E. Reichl}, The transition to chaos. In conservative classical systems: quantum manifestations. Based on lectures given at the Institute for Nonlinear Science, University of California, San Diego, CA, USA, 1987. New York: Springer-Verlag (1992; Zbl 0776.70003)
Tanikawa, Kiyotaka; Yamaguchi, Yoshihiro Stable and unstable manifolds asymptotic to the outermost KAM curve. (English) Zbl 0777.58022 J. Math. Anal. Appl. 166, No. 2, 529-539 (1992). Reviewer: A.Pelczar (Kraków) MSC: 37C75 37G15 54H20 PDF BibTeX XML Cite \textit{K. Tanikawa} and \textit{Y. Yamaguchi}, J. Math. Anal. Appl. 166, No. 2, 529--539 (1992; Zbl 0777.58022) Full Text: DOI
Gerhard, Ortwin E.; Saha, Prasenjit Recovering galactic orbits by perturbation theory. (English) Zbl 0736.70006 Mon. Not. R. Astron. Soc. 251, No. 3, 449-467 (1991). MSC: 70F15 70H05 37J40 PDF BibTeX XML Cite \textit{O. E. Gerhard} and \textit{P. Saha}, Mon. Not. R. Astron. Soc. 251, No. 3, 449--467 (1991; Zbl 0736.70006) Full Text: DOI
Celletti, Alessandra Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance. (English) Zbl 0699.70014 Z. Angew. Math. Phys. 41, No. 2, 174-204 (1990). MSC: 70F15 70K20 70M20 70-08 PDF BibTeX XML Cite \textit{A. Celletti}, Z. Angew. Math. Phys. 41, No. 2, 174--204 (1990; Zbl 0699.70014) Full Text: DOI
Sleeman, B. D. Complexity in biological systems and Hamiltonian dynamics. (English) Zbl 0681.92002 Proc. R. Soc. Lond., Ser. A 425, No. 1868, 17-47 (1989). MSC: 92B05 92C05 70H05 39A10 35Q99 37J99 PDF BibTeX XML Cite \textit{B. D. Sleeman}, Proc. R. Soc. Lond., Ser. A 425, No. 1868, 17--47 (1989; Zbl 0681.92002) Full Text: DOI
Tanikawa, Kiyotaka; Yamaguchi, Yoshihiro Coexistence of symmetric periodic points in the standard map. (English) Zbl 0679.58039 J. Math. Phys. 30, No. 3, 608-616 (1989). MSC: 37G99 PDF BibTeX XML Cite \textit{K. Tanikawa} and \textit{Y. Yamaguchi}, J. Math. Phys. 30, No. 3, 608--616 (1989; Zbl 0679.58039) Full Text: DOI
Lochak, P.; Meunier, C. Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas. (English) Zbl 0668.34044 Applied Mathematical Sciences, 72, New York etc.: Springer-Verlag. xi, 360 p. DM 78.00 (1988). Reviewer: P.Smith MSC: 34C29 34-01 PDF BibTeX XML Cite \textit{P. Lochak} and \textit{C. Meunier}, Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas. New York etc.: Springer-Verlag (1988; Zbl 0668.34044)
Sanz-Serna, J. M.; Vadillo, F. Studies in numerical nonlinear instability. III. Augmented Hamiltonian systems. (English) Zbl 0632.65129 SIAM J. Appl. Math. 47, 92-108 (1987). Reviewer: V.A.Kostova MSC: 65Z05 65M12 81Q05 35Q99 37C55 PDF BibTeX XML Cite \textit{J. M. Sanz-Serna} and \textit{F. Vadillo}, SIAM J. Appl. Math. 47, 92--108 (1987; Zbl 0632.65129) Full Text: DOI
Gallavotti, Giovanni Quasi-integrable mechanical systems. (English) Zbl 0662.70022 Critical phenomena, random systems, gauge theories, Proc. Summer Sch. Theor. Phys., Sess. 43, Les Houches/France 1984, Pt. 2, 539-624 (1986). Reviewer: I.Dorfman MSC: 70K30 37J35 37K10 37C55 37J40 PDF BibTeX XML
Berk, H. L.; Freidberg, J. P.; Llobet, X.; Morrison, P. J.; Tataronis, J. A. Existence and calculation of sharp boundary magnetohydrodynamic equilibrium in three-dimensional toroidal geometry. (English) Zbl 0602.76118 Phys. Fluids 29, 3281-3290 (1986). MSC: 76X05 70H20 82D10 76M99 PDF BibTeX XML Cite \textit{H. L. Berk} et al., Phys. Fluids 29, 3281--3290 (1986; Zbl 0602.76118) Full Text: DOI
Mackay, R. S. A renormalisation approach to invariant circles in area-preserving maps. (English) Zbl 0568.70023 Order in chaos, Proc. int. Conf., Los Alamos/N.M. 1982, Physica 7D, 283-300 (1983). Reviewer: E.Gutkin MSC: 70K20 34C15 37J40 PDF BibTeX XML
Bhatnagar, K. B.; Hallan, P. P. The effect of perturbations in Coriolis and centrifugal forces on the nonlinear stability of equilibrium points in the restricted problem of three bodies. (English) Zbl 0539.70013 Celestial Mech. 30, 97-114 (1983). Reviewer: H.Troger MSC: 70F07 70K20 70F15 70M20 37C75 PDF BibTeX XML Cite \textit{K. B. Bhatnagar} and \textit{P. P. Hallan}, Celest. Mech. 30, 97--114 (1983; Zbl 0539.70013) Full Text: DOI
Ritala, Risto; Salomaa, Martti On chaotic dynamics. (Finnish) Zbl 0526.70027 Arkhimedes 35, 123-141 (1983). MSC: 70K50 70F99 37D45 PDF BibTeX XML Cite \textit{R. Ritala} and \textit{M. Salomaa}, Arkhimedes 35, 123--141 (1983; Zbl 0526.70027)
Guckenheimer, John; Holmes, Philip Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. (English) Zbl 0515.34001 Applied Mathematical Sciences, 42. New York etc.: Springer-Verlag. XVI, 453 p., 206 figs. (1983). MSC: 34-02 34C15 37-XX 70H05 34C25 34D20 34C29 PDF BibTeX XML Full Text: DOI
Broer, H. W. Quasi periodicity in local bifurcation theory. (English) Zbl 0508.58030 Nieuw Arch. Wiskd., IV. Ser. 1, 1-32 (1983). MSC: 37G99 37C55 PDF BibTeX XML Cite \textit{H. W. Broer}, Nieuw Arch. Wiskd., IV. Ser. 1, 1--32 (1983; Zbl 0508.58030)
Szépfalusy, Péter (ed.); Tél, Tamás (ed.) Random-like phenomena in nonlinear systems: The Chaos. (Hungarian) Zbl 0563.58023 Budapest: Akadémiai Kiadó. 607 p. (1982). Reviewer: M.Farkas MSC: 37D45 58-06 00Bxx 37N99 PDF BibTeX XML
Przytycki, Feliks Examples of conservative diffeomorphisms of the two-dimensional torus with coexistence of elliptic and stochastic behaviour. (English) Zbl 0544.58012 Ergodic Theory Dyn. Syst. 2, 439-463 (1982). Reviewer: D.Hurley MSC: 37A99 28D99 37D99 PDF BibTeX XML Cite \textit{F. Przytycki}, Ergodic Theory Dyn. Syst. 2, 439--463 (1982; Zbl 0544.58012) Full Text: DOI
Pöschel, Jürgen Über invariante Tori in differenzierbaren Hamiltonschen Systemen. (German) Zbl 0466.70021 Bonn. Math. Schr. 120, 103 S. (1980). MSC: 70H05 70H99 70G10 37J99 34C25 PDF BibTeX XML
Gonzalez Velasco, Enrique A. Qualitative theory of Hamiltonian systems. (Spanish) Zbl 0448.58004 Rev. R. Acad. Cienc. Exactas Fis. Nat. Madr. 74, 225-245 (1980). MSC: 37J99 37C75 37G99 PDF BibTeX XML Cite \textit{E. A. Gonzalez Velasco}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 74, 225--245 (1980; Zbl 0448.58004) Full Text: EuDML
Hermes, Henry A survey of recent results in differential equations. (English) Zbl 0234.34001 SIAM Rev. 15, No. 2, 453-468 (1973). MSC: 34-02 34-XX 70-XX PDF BibTeX XML Cite \textit{H. Hermes}, SIAM Rev. 15, 453--468 (1973; Zbl 0234.34001) Full Text: DOI
Siegel, C. L.; Moser, Jürgen K. Lectures on celestial mechanics. (Translation by C. I. Kalme). (English) Zbl 0312.70017 Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen. Band 187. Berlin-Heidelberg-New York: Springer-Verlag. xii, 290 p. DM 78.00; $ 22.60 (1971). Reviewer: V. Szebehely MSC: 70F15 70-02 70F07 34Cxx 37Cxx 70H08 PDF BibTeX XML