Since the undergraduate thesis had been written in a now obsolete text processor SIGNUM, I do not have the entire text. While being a graduate student, a guest of Moser had been interested in the literature of this fascinating topic and I had at that time extracted and cleaned out the literature in ASCII form

a) Stoermerproblem -------------------- Ar 1963 V.I. Arnold; Small divisor and stability problems in classical and celestial mechanics, Uspekhi Mat. Nauk.18(6)(1963) pp. 85-191 2 pages [PDF] Br 1970 Martin Braun; Particle Motions in a Magnetic Field; J.Diff. Equ., 8 (1979), pp.294-332 [PDF] Br 1970a Martin Braun; Structural Stability and the Stoermer Problem; Indiana Univ. Math. J.,20 (1970),pp. 469-497 [PDF] Br 1979 Martin Braun; The Stability of the Van Allen Radiation Belt; SIAM J.Appl. Math. 37(3), pp.664-668 [PDF] Br 1981 Martin Braun; Mathematical Remarks on the Van Allen Radiation Belt; SIAM Rev.,23 (1981) ,pp. 61-94 [PDF] Br 1981a Martin Braun; Invariant Curves,Homoclinic Points,and Ergodicity in Area-Preserving Mappings; SIAM J. Math. Anal.,12(4) (1981),pp.630-638 Dr 1965 Alex Dragt; Trapped orbits in a magnetic dipole field; Rev. of Geophys.3(2) (1965), pp.255-298 [PDF] Dr 1976 Alex Dragt, John M.Finn; Insolubility of Trapped Particle Motion in a Magnetic Dipole Field; J. Geophys. Res. 81,(1976) pp. 2327 [PDF] Dr 1978 Alex Dragt, John M.Finn; Normal Form for Mirror Machine Hamiltonians; J.Math. Phys. 20(12) (1979) pp.2649-2660 [PDF] Ea 1980 Robert Eather; Majestic Lights ; Fa 1983 Harald Falck-Ytter; Das Polarlicht; Verlag Freies Geistesleben, Stuttgart 1983 He 1965 W.N.Hess,G.D.Mead and M.P.Nakada; Advances in Particle and Field Research in the Satellite Era; Rev. of Geophys 3(4) (1965) pp. 521-575 Mo 1963 Juergen Moser; Integrals of the Stoermer Problem; unpublished [PDF] St 1907 Carl Stoermer; Sur les trajectoires des corpuscles electrises dans l'espace sous l'action du magnetisme terrestre; Arch.Sci.Phys.Nat.24, (1907) St 1955 Carl Stoermer; The Polar Aurora; Clarendon Press, Oxford, 1955 Vo 1954 Rene de Vogelaere; Surface de section dans le proble` me de Stoermer; Acad. Roy. Belg. Bull. Cl. Sci. 40(5) (1954) pp. 705-714 [PDF] Vo 1958 Rene de Vogelaere; On the structure of symmetric periodic solutions of conservative systems with applications; Ann. of Math. Studies,no 41, Princeton University Press, Princeton N.J.,1958,pp. 53-84 [PDF] b) Linked Twist maps ______________________________ Bo 1977 Rufus Bowen ; On Axiom A Diffeomorphisms ; Proc. C.B.M.S. Regional Conf. Ser. Math.No. 35, Amer. Math. Soc., Providence R.I. Be 1984 David Bensimon and Leo Kadanoff; Extended Chaos and Disappearance of KAM Trajectories ; Physica 13D,(1984) pp.82 -89 Bu 1979 Robert Burton and Robert Easton; Ergodicity of Linked Twist Mappings; Lecture Notes in Math.,No. 819, pp. 35-49 Br 1981a Martin Braun; Invariant Curves,Homoclinic Points,and Ergodicity in Area-Preserving Mappings; SIAM J. Math. Anal.,12(4) (1981),pp.630-638 De 1978 Robert L. Devaney; Subshifts of Finite Type in Linked Twist Mappings; Proc. of the Amer. Math. Soc.,71(2) (1978) pp. 334-338 De 1979 R.L. Devaney; Linked Twist Mappings are Almost Anosov; Lecture Notes in Math., No. 819, pp. 121-145 De 1980 R.L. Devaney; Three Area Preserving Mappings Exhibiting Stochastic Behavior; Lect. Notes in Pure and Appl. Math. 70, New York 1981 De 1981 R.L. Devaney; The Baker Transformation and a Mapping Associated to the Restricted Three Body Problem; Commun. Math. Phys. 80 (1981) pp. 465-476 Ea 1979 Robert Easton; Chain Transitivity and the Domain of Influence of an Invariant Set; Lecture Notes in Math. No. 668 pp. 95-102 Go 1984 Daniel L.Goroff; Hyperbolic Sets for Twist Maps; Ergod. Theory and Dyn. Sys. 5 (1985), pp.337-339 Ka 1979 Anatol Katok; Bernoulli Diffeomorphisms on Surfaces ; Annals of Math. 110 (1979) pp. 529-547 Ma 1983 John N. Mather; Nonexistence of Invariant Circles; Ergod. Theory and Dyn. Sys. 3(1983), pp. 301-309 Mc 1983 R.S.Mackay; Renormalisation Approach to Invariant Circles in Area-preserving Maps; Physica 7D,(1983), pp. 283-300 Pr 1983 Feliks Przytycki; Ergodicity of Toral Linked Twist Mappings, Ann. Scient. Ec. Norm. Sup. 4(1) (1983), pp. 345-354 Pr 1982 Feliks Przytycki; Examples of Conservative Diffeomorphisms of the twodimensional Torus with Coexistence of Elliptic and Stochastic Behaviour; Ergod. Theory and Dynam. Sys. 2 (1982) pp. 439-463 Pr 1986 Feliks Przytycki; Periodic Points of Linked Twist Mappings; Studia Mathematica, 83 (1986) Wo 1979 Maciej Wojtkowski ; Linked Twist Mappings have the K-Property; Nonlinear Dynamics, International Conference, New York 1979, pp 66-76 Wo 1981 Maciej Wojtkowski; A Model Problem with Coexistence of Stochastic and Integrable Behaviour; Comm. Math. Phys. 80(4) (1981), pp. 453-464 Wo 1982 Maciej Wojtkowski; On the Ergodic Properties of Piecewise Linear Perturbations of the Twist Map; Ergod. Th. and Dynam. Sys. 2 (1982); pp. 525-542 c) Lyapunov exponents ___________________ Be 1984 Giancarlo Benettin; Power-Law Behaviour of Lyapunov Exponents in some Conservative Systems; Physica D 13 (1984) pp. 211-220 Cw 1985 John B.Conway; A Course in Functional Analysis; Graduated Texts in Math.,Springer, NewYork 1985 Co 1984 Eric Cornelis and Maciej Wojtkowski; A Criterion for the Positivity of the Liapunov Characteristic Exponent; Ergod. Th. and Dynam. Sys. 4 (1984) pp. 527-539 Fu 1983 H. Furstenberg and Y. Kifer; Random Matrix Products and Measures on Projective Spaces; Israel J. Of Math. 46(1) (1983) pp.12-36 Pe 1977 Ya.B. Pesin; Lyapunov Characteristic Exponents and Smooth Ergodic Theorie; Russ. Math. Suveys 32(4) (1977), pp.55-114 Sl 1980 Eric V. Slud; Products of Independent Randomly Perturbed Matrices; in Ergodic Theorie and Dynamical Systems II, Proceedings, Special Year, Maryland 1979-1980,Birkhaeuser pp. 185-192 Wo 1985 Maciej Woitkowski; Invariant Families of Cones and Lyapunov exponents; Ergod. Th. and Dynam. Sys. 5(1985) pp. 145-161 Wo 1976 Maciej Woitkowski; Principles for the Design of Billards with Nonvanishing Lyapunov Exponents; Comm. Math. Phys. 105 (1986), pp. 391-414 Yo 1986 L.-S. Young; Random Perturbations of Matrix Cocycles; Ergod. Th. and Dynam. Sys. 6 (1986) pp. 627-637 d) Numerical studies _____________________________ Bi 1986 Philippe M. Binder and Roderick V. Jensen; Simulating chaotic Behavior with Finite- State Machines; Phys. Rev. A 34(5) (1976) pp. 4460-4463 Br 1971 A. Brahic; Numerical Study of a Simple Dynamical System; Astron. and Astrophys. 12 (1971), pp. 98-110 Fo 1977 Joseph Ford; Relevance of Computer Experiments to the Pure Mathematics of Integrable and Ergodic Dynamical Systems; Soc. Math. de France, Asterisque 49 (1977) pp. 75-92 He1964 Michel Henon and Carl Heiles; The Applicability of the Third Integral of Motion; Astron. J. 69(1) (1964), pp. 73-80 Ra 1973 F. Rannou; Numerical Study of Discrete Plane Area- preserving Mappings; Astron and Astrophys. 31(1974), pp. 289-301 e) Ergodic theory __________________ Ar 1967 V.I. Arnold and A.Avez; Proble`mes ergodiques de la me' canique classique, Paris 1967 Ka 1975 Anatol B. Katok,Ya. G.Sinai and A.M. Stepin ; Theorie of Dynamical Systems and General Transformation Groups with Invariant Measure; Math. Anal. 13 (1975) pp. 129-262 Ka 1986 Anatol Katok and Jean-Marie Strelcyn; Invariant Manifolds, Entropy and Billards : Smooth Maps with Singularities; Lecture Notes in Mathematics No. 1222, Springer 1986 Kr 1985 Ulrich Krengel; Ergodic Theorems; New York, De Gruyter 1985 Ma 1987 Ricardo Mane' ; Ergodic Theorie and Differentiable Dynamics; Springer EM, 3.Folge Bd.8, Berlin 1987 Si 1976 Ya.G.Sinai; Introduction to Ergodic Theorie.; Math. Notes 18, Princeton University Press 1976; Wa 1982 Peter Walters; Introduction to Ergodic Theory; Graduated Texts in Math. 79, Springer 1982(1) Episodes like this (and there are many more since 1987, when this literature list was collected) made me wary of proprietary file formats or formats which need proprietary programs to read them and since (maybe almost obsessively) store everything of value in ASCII text form or in formats in which open source and industry independent conversion programs are available.