multiple time scale dynamics with two fast variables and one slow ...
multiple time scale dynamics with two fast variables and one slow ...
multiple time scale dynamics with two fast variables and one slow ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
[13] B. Braaksma. Singular Hopf bifurcation in systems <strong>with</strong> <strong>fast</strong> <strong>and</strong> <strong>slow</strong><br />
<strong>variables</strong>. Journal of Nonlinear Science, 8(5):457–490, 1998.<br />
[14] P. Brunovsky. Tracking invariant manifolds <strong>with</strong>out differential forms.<br />
Acta Math. Univ. Comenianae, LXV(1):23–32, 1996.<br />
[15] G.A. Carpenter. A geometric approach to singular perturbation problems<br />
<strong>with</strong> applications to nerve impulse equations. Journal of Differential Equations,<br />
23:335–367, 1977.<br />
[16] J. Carr. Applications of Centre Manifold Theory. Springer, 1981.<br />
[17] A.R. Champneys, V. Kirk, E. Knobloch, B.E. Oldeman, <strong>and</strong> J.D.M.<br />
Rademacher. Unfolding a tangent equilibrium-to-periodic heteroclinic cycle.<br />
SIAM J. Appl. Dyn. Sys., 8(3):1261–1304, 2009.<br />
[18] A.R. Champneys, V. Kirk, E. Knobloch, B.E. Oldeman, <strong>and</strong> J. Sneyd. When<br />
Shil’nikov meets Hopf in excitable systems. SIAM J. Appl. Dyn. Syst.,<br />
6(4):663–693, 2007.<br />
[19] S.-N. Chow, C. Li, <strong>and</strong> D. Wang. Normal forms <strong>and</strong> bifurcation of planar<br />
vector fields. CUP, 1994.<br />
[20] E.A. Coddington <strong>and</strong> N. Levinson. Theory of Ordinary Differential Equations.<br />
McGraw-Hill, 1955.<br />
[21] C. de Boor <strong>and</strong> B. Swartz. Collocation at Gaussian points. SIAM J. Numer.<br />
Anal. 10, 10:582–606, 1973.<br />
[22] B. Deng. The existence of infinitely many traveling front <strong>and</strong> back waves<br />
in the fitzhugh-nagumo equations. SIAM J. Appl. Math., 22(6):1631–1650,<br />
1991.<br />
[23] B. Van der Pol. A theory of the amplitude of free <strong>and</strong> forced triode vibrations.<br />
Radio Review, 1:701–710, 1920.<br />
[24] B. Van der Pol. On relaxation oscillations. Philosophical Magazine, 7:978–<br />
992, 1926.<br />
[25] B. Van der Pol. The nonlinear theory of electric oscillations. Proc. IRE,<br />
22:1051–1086, 1934.<br />
169