W A Coppel publications

1. The solution of equations by iteration, Proc. Camb. Phil. Soc. 51 (1955), 41-43.
   
   
2. The solution of cubic equations by iteration, Zeit. Angew. Math. Phys. 9 (1958), 380-383.
   
   
3. On the equation of a synchronous motor, Quart. J. Mech. Appl. Math. 12 (1959), 242-256.
   
   
4. The operational solution of linear differential equations with constant coéfficients, Ann. Pol. Math. 7 (1959), 113-126.
   
   
5. On a differential equation of boundary layer theory, Phil. Trans. Roy. Soc. A253 (1960), 101-136.
   
   
6. Note on an equation of boundary layer theory, Proc. Camb. Phit. Soc. 57 (1961), 696.
   
   
7. On a class of transcendents arising in the theory of elasticity, Quart. J. Math. (2) 13 (1962), 90-98.
   
   
8. Perturbation of periodic solutions: the degenerate case, Proc. Internat. Sympos. Nonlinear Vibratioas, Kiev, 1963, 2, 190-194.
   
   
9. On the stability of ordinary differential equations, J. London Math. Soc. 39 (1964), 255-260.
   
   
10. On the uniqueness of limit cycles, Boll. Un. Mat. Ital. (3) 19 (1964), 441-445.
    
    
11. Asymptotic solutions of second order linear differential equations, US Army Math. Res. Center Report No. 555, Madison, 1965, 16 pp.
    
    
12. Limit cycles and rotated vector fields, US Army Math. Res. Center Report No. 583, Madison, 1965, 11 pp.
    
    
13. On the stability of linear canonical systems with periodic coefficients (with A. Howe), J. Austral. Math. Soc. 7 (1967) 169-195 Corrigendum ibid. 256.
    
    
14. Stability and Asymptotic Behavior of Differential Equations, (D.C. Heath, Boston, 1965)
    
    
15. Comparison theorems for canonical systems of differential equations, J. Math. Anal. Appl. 12 (1965), 306-315.
    
    
16. A Survey of quadratic systems, J. Differential Equations 2 (1966), 293-304.
    
    
17. Dynamical instability of linear canonical systems (with A Howe), J. Austral. Math. Soc. 7 (1967), 247-251.
    
    
18. Almost periodic properties of ordinary differential equations, Ann. Mat. Pyra. Appl. (4) 76 (1967), 27-50.
    
    
19. Dichotomies and reducibility, J. Differential Equations 3 (1967), 500-521.
    
    
20. Dichotomies and reducibility (II), J. Differential Equations 4 (4968), 386-398.
    
    
21. Singular perturbations of initial value problems over a finite interval (with K W Chang); Arch. Rat. Mech. Anat. 32 (1969), 268-280.
    
    
22. J B Fourier -- on the occasion of his two hundredth birthday, Amer. Math. Monthly 76 (1969), 468-483,
    
    
23. On an inequality of Bombieri (with D C Peaslee), J. Austral. Math. Soc. 9 (1969) 399-404.
    
    
24. Averaging and integral manifolds (with K J Palmer), Bull. Austral. Math. Soc. 2 (1970), 197-222.
    
    
25. Dichotomies and stability theory, Symposium on Differential Equations and Dynamical Systems (Lecture Notes in Mathematics Vol. 206), pp. 160-162, Springer-Verlag, Berlin, Heidelberg, New York, 1971.
    
    
26. Disconjugacy (Lecture Notes in Mathematics, Vol. 220), Springer-Verlag, Berlin, Heidelberg, New York, 1971.
    
    
27. Linear Systems (Notes on Pure Mathematics no. 6), Australian National University, Canberra, 1972; 2nd. ed., 1974,
    
    
28. Matrix quadratic equations, Bull, Austral. Math. Soc. 10 (1974), 377-401.
    
    
29. Matrices of rational functions, Bull. Austral. Math, Soc. 11 (1974), 89-113.
    
    
30. Linear-quadratic optimal control, Proc. Roy. Soc. Edinburgh 73A (1974/5), 271-289.
    
    
31. On a problem of Hahn, Bull. Austral. Math. Soc. 14 (1976), 321-324.
    
    
32. Mathematics from control theory, Math. Chronicle 5 (1976), 8-16.
    
    
33. Pseudo-autonomous linear systems, Bull. Austral. Math. Soc. 16 (1977), 61-65.
    
    
34. Ordinary differential equations, J. Austral. Math. Soc. A 24 (1977), 1-9.
    
    
35. Dichotomies in Stability Theory (Lecture Notes in Mathematics, Vol. 629), Springer-Verlag, Berlin, Heidelberg, New York, 1978.
    
    
36. Mathematical Control Theory (ed.) (Lecture Notes in Mathematics, Vol. 680), Springer-Verlag, Berlin, Heidelberg, New York, 1978.
    
    
37. Some remarks on strict system equivalence, International Symposium on Mathematical Theory of Networks and Systems, Volume 4, August 5-7, 1981 (ed. N. Levan), Western Periodicals Company, 1981, pp. 33-34.
    
    
38. Linear systems: some algebraic aspects, Linear Algebra Appl. 40 (1981), 257-273.
    
    
39. Maps of an interval, Institute for Mathematics and its Applications, University of Minnesota, Preprint No. 26, Minneapolis, 1983, 27 pp.
    
    
40. A new type of Matrix quadratic equation, Systems Control Lett. 3 (1983), 117-118.
    
    
41. Sarkovskii-minimal orbits, Math. Proc. Cambridge Philos. Soc. 93 (1983), 397-408.
    
    
42. An interesting Cantor set, Amer. Math. Monthly 90 (1983), 456-460.
    
    
43. Dichotomies and Lyapunov functions, J. Differential Equations 52 (1984), 58-65.
    
    
44. Strong, System. equivalence (I) (with B D O Anderson and D J Cullen), J. Austral. Math, Soc, Ser. B 27 (1985), 194-222.
    
    
45. Strong system equivalence (II) (with D J Cullen), J. Austral. Math, Soc. Ser. B 27 (1985), 223-237.
    
    
46. Strong system equivalence, Frequency Domain and State Space Methods for Linear Systems, ed. C L Bymes and A Lindquist, Elsevier Science Publishers, 1986, 319-321.
    
    
47. Stratification of continuous maps of an interval (with L S Block), Trans, Amer. Math. Soc. 297 (1986), 587-604,
    
    
48. A simple class of quadratic systems, J. Differential Equations 64 (1986), 275-282,
    
    
49. The limit cycle configurations of quadratic systems, Ordinary and partial differential differential equations, ed. B D Sleeman and R J Jarvis, Pitman Research Notes in Mathematics 187, Longman-Wiley, 1987, pp. 52-65.
    
    
50. Quadratic systems with a degenerate critical point, Bull. Austral. Math. Soc. 38 (1988), 1-10.
    
    
51. Some quadratic systems with at most one limit cycle, Dynamics Reported 2 (1989), 1-88.
    
    
52. A Chinese-English Mathematics Primer, Proceedings of the Centre for Mathematical Analysis Vol. 23 Australian National University, 1989.
    
    
53. Quadratic systems with a critical point of higher multiplicity, Differential and Integral Equations 3 (1990), 709-720,
    
    
54. Chaos in one dimension, Chaos and Order, ed. N Joshi and R L Dewar, World Scientific, Singapore, 1991, pp. 14-21.
    
    
55. A new class of quadratic systems, J. Differential Equations 92 (1991), 360-372.
    
    
56. Dynamical systems: an introduction to some mathematical techniques and results, Nonlinear dynamics and chaos, ed. R L Dewar and B I Henry, World Scientific, Singapore, 1992, pp. 41-90.
    
    
57. Dynamics in One Dimension (with L S Block), (Lecture Notes in Mathematics, Vol. 1513), Springer-Verlag, Heidelberg, 1992,
    
    
58. Axioms for convexity, Bull. Austral. Math. Soc. 47 (1993), 179-197.
    
    
59. The period function of a Hamiltonian quadratic system (with L Gavrilov), Differential and Integral Equations 6 (1993), 1357-1365.
    
    
60. A theory of polytopes, Bull. Austral. Math. Soc. 52 (1995), 1-24
    
    
61. Non-coprime quadratic systems, Bull. Austral. Math. Soc. 53 (1996), 83-90.
    
    
62. Foundations of Convex Geometry, (Cambridge University Press, 1998) [Australian Math, Soc Lecture Series 12]
    
    
63. Number Theory: an Introduction to Mathematics, (Phalanger Press, Canberra 2002) 2nd edition (Springer Universitext 2009)

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