Previous |  Up |  Next

Article

Keywords:
Poincaré mapping; variational equation; moving orthogonal system
Summary:

References:
[1] L. Adamec: Kinetical systems. Appl. Math. 42 (1997), 293–309. MR 1453934 | Zbl 0903.34043
[2] L. Adamec: A note on the transition mapping for $n$-dimensional systems. Submitted.
[3] I. Agricola, T.  Friedrich: Global Analysis. American Mathematical Society, Rhode Island, 2002. MR 1998826
[4] J. Andres: On the multivalued Poincaré operators. Topol. Meth. Nonlin. Anal. 10 (1997), 171–182. MR 1646627 | Zbl 0909.47038
[5] J. Andres: Poincarés translation multioperator revisted. In: Proceedings of the 3rd Polish Symposium of Nonlinear Analalysis, Łódź, January 29–31, 2001. Lecture Notes Nonlinear Anal. 3 (2002), 7–22.
[6] A. A. Andronov, E. A. Leontovich, I. I. Gordon, and I. I. Mayer: Theory of Bifurcation of Dynamical System on the Plane. John Wiley & Sons, New York-London-Sydney, 1973.
[7] C.  Chicone: Ordinary Differential Equations with Applications. Springer-Verlag, New York, 1999. MR 1707333 | Zbl 0937.34001
[8] S. P. Diliberto: On systems of ordinary differential equations. In: Contributions to the Theory of Nonlinear Oscillations. Ann. Math. Stud. 20 (1950), 1–38. MR 0034931
[9] P.  Hartman: Ordinary Differential Equations. John Wiley & Sons, New York-London-Sydney, 1964. MR 0171038 | Zbl 0125.32102
[10] J. Kurzweil: Ordinary Differential Equations. Elsevier, Amsterdam-Oxford-New York-Tokyo, 1986. MR 0929466 | Zbl 0667.34002
[11] M. Medveď: A construction of realizations of perturbations of Poincaré maps. Math. Slovaca 36 (1986), 179–190. MR 0849709
[12] H. Poincaré: Les méthodes nouvelles de la mécanique céleste. Gauthier-Villars, Paris, 1892.
Partner of
EuDML logo