Exceptional complex solutions of the forced van der Pol equation

1 Balser, W. From divergent Power Series to Analytic Functions LNM 1582, Springer, New York 1994 MR1317343 100 Cache/Ba/Balser,divergent,*,1994,1995 x+108

2 Benoît, E.; Callot, J. L.; Diener, F.; Diener, M. Chasse au canard Collect. Math. 31 1-3 1981 37-119 Data is not found in MathSci. Cache/Be/Beno\^,Chasse,Collect*,1981,1982

3 Benoît, E.; Fruchard, A.; Schäfke, R.; Wallet, G. Overstable solutions: towards a global study C. R. Acad. Sci. 326 1998 873-878 MR1648552 Cache/Be/Benoît,Overstable,C*,1998,1999

4 Benoît, E.; Fruchard, A.; Schäfke, R.; Wallet, G., Solutions surstables des équations différentielles complexes lentes-rapides à point tournant, Ann. Fac. Sci. Toulouse Math. (to appear) MR1693589

5 van den Berg, I. P.; Koudjeti, F. Neutrices, external numbers and external calculus in Nonstandard Analysis in Practice, Diener, F. and M. Ed., Springer, New York 145-170 1995 MR1396801 Cache/va/van den Berg,Neutrices,,*,1995,1996

6 Callot, J. L. Champs lents-rapides complexes à une dimension lente Ann. Sci. Ec. Norm. Sup. 4e série 4 26 1993 149-173 MR1209706 100 Cache/Ca/Callot,lents-rapides,Ann*,1993,1994

7 Callot, J. L. Sur la piste des canards imaginaires Colloque Trajectorien, Fruchard, A. and Troesch, A. Ed., preprint IRMA, Strasbourg, France 1995 191-204 MR1369116 Cache/Ca/Callot,imaginaires,*,1995,1996

8 Canalis-Durand, M. Formal expansions of van der Pol equation canard solutions are Gevrey in Dynamic bifurcations, Benoit, E. Ed., Lecture Notes in Math., 1493 1991 29-39 or: C. R. Acad. Sci. série I, 311 (1990), 27-30 MR1166995 Cache/Ca/Canalis-Durand,expansions,*,1991,1992

9 Canalis-Durand, M.; Diener, F.; Gaetano, M. Calcul des valeurs à canard à l'aide de Macsyma in Mathématiques Finitaires et Analyse Non Standard, Luminy 1985, Diener, M. and Wallet, G. Ed., Preprint URA 212, Univ. Paris 7, France 1985 1989 153-167 MR1028796 Cache/Ca/Canalis-Durand,valeurs,*,1989,1990

10 Diener, F., Méthode du plan d'observabilité, Thèse de doctorat d'État, preprint IRMA, IRMA, Strasbourg, France 1981 11 Diener, F.; Reeb, G. Analyse Non Standard Hermann, Paris 1989 MR1026099 100 Cache/Di/Diener,Standard,*,1989,1990 196

12 Gautheron, V.; Isambert, E. Lire l'Analyse Non Standard Bull. Belgian Math. Soc. 1996 29-49 MR1409641 100 Cache/Ga/Gautheron,l'Analyse,Bull*,1996,1997

13 Liénard, A. Etude des oscillations entretenues Revue générale d'électricité 23 1928 901-954 Data is not found in MathSci. Cache/Li/Liénard,oscillations,Revue*,1928,1929

14 Lobry, C. Dynamic bifurcations in Dynamic bifurcations, Benoit, E. Ed., Lecture Notes in Math., 1493 1991 1-13 MR1166993

15 Mischenko, E. F.; Rozov, N. Kh. Differential equations with small parameters and relaxation oscillations Plenum Press, New York and London 1980 MR0750298 Cache/Mi/Mischenko,*,*,1980,1981

16 Nelson, E. Internal Set Theory: a new approach to nonstandard analysis Bull. Amer. Math. Soc. 83 6 1977 1165-1198 MR0469763 100 Cache/Ne/Nelson,nonstandard,Bull*,1977,1978

17 van der Pol, B. Relaxation oscillations Philos. Mag. 2-7 1926 978-992 Data is not found in MathSci. Cache/va/van der Pol,oscillations,Philos*,1926,1927

18 Sibuya, Y. Linear differential equations in the complex domain, problems of analytic continuation AMS, Providence (RI) 1990 MR1084379 81 Cache/Si/Sibuya,Linear,*,1990,1991 xiv+269 19 Wasow, W. Linear Turning Point Theory Springer, New York 1985 MR0771669 100 Cache/Wa/Wasow,Turning,*,1985,1986 ix+246

20 Zvonkin, A. K.; Shubin, M. A. Nonstandard analysis and singular perturbations of ordinary differential equations Russian Math. Surveys 39 2 1984 69-131 MR0740001 Cache/Zv/Zvonkin,perturbations,Russian*,1984,1985