-
1
-
-
0002568232
-
Tracking invariant manifolds without differential forms
-
Brunovský, P. (1996). Tracking invariant manifolds without differential forms. Acta Math. Univ. Comenion. (N.S.) 65, 23-32.
-
(1996)
Acta Math. Univ. Comenion. (N.S.)
, vol.65
, pp. 23-32
-
-
Brunovský, P.1
-
2
-
-
23044524270
-
Center manifolds for smooth invariant manifolds
-
Chow, S.-N., Liu, W., and Yi, Y. (2000). Center manifolds for smooth invariant manifolds. Trans. Amer. Math. Soc. 352, 5179-5211.
-
(2000)
Trans. Amer. Math. Soc.
, vol.352
, pp. 5179-5211
-
-
Chow, S.-N.1
Liu, W.2
Yi, Y.3
-
3
-
-
0034634862
-
Center manifold theory for general invariant sets
-
Chow, S.-N., Liu, W., and Yi, Y. (2000). Center manifold theory for general invariant sets. J. Diff. Eqs. 168, 355-385.
-
(2000)
J. Diff. Eqs.
, vol.168
, pp. 355-385
-
-
Chow, S.-N.1
Liu, W.2
Yi, Y.3
-
4
-
-
18144396577
-
Time analysis and entry-exit relation near planar turning points
-
De Maesschalck, P., and Dumortier, F. (2005). Time analysis and entry-exit relation near planar turning points. J. Diff. Eqs. 215, 225-267.
-
(2005)
J. Diff. Eqs.
, vol.215
, pp. 225-267
-
-
De Maesschalck, P.1
Dumortier, F.2
-
5
-
-
0000958356
-
1 linearization and homoclinic bifurcation
-
1 linearization and homoclinic bifurcation. J. Diff. Eqs. 79, 189-231.
-
(1989)
J. Diff. Eqs.
, vol.79
, pp. 189-231
-
-
Deng, B.1
-
6
-
-
0002336002
-
Techniques in the theory of local bifurcations: Blow-up, normal forms, nilpotent bifurcations, singular perturbations. Bifurcations and periodic orbits of vector fields (Montreal, PQ, 1992)
-
Kluwer Academic Publishers, Dordrecht
-
Dumortier, F. (1993). Techniques in the theory of local bifurcations: blow-up, normal forms, nilpotent bifurcations, singular perturbations. Bifurcations and periodic orbits of vector fields (Montreal, PQ, 1992), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 408, Kluwer Academic Publishers, Dordrecht, pp. 19-73.
-
(1993)
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.
, vol.408
, pp. 19-73
-
-
Dumortier, F.1
-
7
-
-
0039243335
-
Canard cycles and center manifolds, with an appendix by Cheng Zhi Li
-
Dumortier, F., and Roussarie, R. (1996). Canard cycles and center manifolds. With an appendix by Cheng Zhi Li. Mem. Amer. Math. Soc. 121(577), x+100 pp.
-
(1996)
Mem. Amer. Math. Soc.
, vol.121
, Issue.577
-
-
Dumortier, F.1
Roussarie, R.2
-
8
-
-
0001356311
-
Persistence and smoothness of invariant manifolds for flows
-
Fenichel, N. (1971). Persistence and smoothness of invariant manifolds for flows. Indiana Univ. Math. J. 21, 193-226.
-
(1971)
Indiana Univ. Math. J.
, vol.21
, pp. 193-226
-
-
Fenichel, N.1
-
9
-
-
34250627892
-
Geometric singular perturbation theory for ordinary differential equations
-
Fenichel, N. (1979). Geometric singular perturbation theory for ordinary differential equations. J. Diff. Eqs. 31, 53-98.
-
(1979)
J. Diff. Eqs.
, vol.31
, pp. 53-98
-
-
Fenichel, N.1
-
10
-
-
0032008350
-
On the application of geometric singular perturbation theory to some classical two point boundary value problems
-
Hayes, M., Kaper, T., Kopell, N., and Ono, K. (1998). On the application of geometric singular perturbation theory to some classical two point boundary value problems. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 8, 189-209.
-
(1998)
Internat. J. Bifur. Chaos Appl. Sci. Engrg.
, vol.8
, pp. 189-209
-
-
Hayes, M.1
Kaper, T.2
Kopell, N.3
Ono, K.4
-
11
-
-
0003304963
-
Geometric theory of semilinear parabolic equations
-
Springer-Verlag, Berlin-New York
-
Henry, D. (1981). Geometric theory of semilinear parabolic equations. Lecture Notes in Mathematics, Vol. 840, Springer-Verlag, Berlin-New York.
-
(1981)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
12
-
-
0003706768
-
-
Lecture Notes in Mathematics, Springer-Verlag, New York
-
Hirsch, M., Pugh, C., and Shub, M. (1976). Invariant Manifolds. Lecture Notes in Mathematics, Vol. 583, Springer-Verlag, New York.
-
(1976)
Invariant Manifolds.
, vol.583
-
-
Hirsch, M.1
Pugh, C.2
Shub, M.3
-
13
-
-
0002316532
-
Geometric singular perturbation theory
-
Lecture Notes in Mathematics, Springer, Berlin
-
Jones, C. (1995). Geometric singular perturbation theory. Dynamical systems (Montecatini Terme, 1994), Lecture Notes in Mathematics, Vol. 1609, Springer, Berlin, pp. 44-118.
-
(1995)
Dynamical Systems (Montecatini Terme, 1994)
, vol.1609
, pp. 44-118
-
-
Jones, C.1
-
14
-
-
0030528987
-
Tracking invariant manifolds up to exponentially small errors
-
Jones, C., Kaper, T., and Kopell, N. (1996). Tracking invariant manifolds up to exponentially small errors, SIAM J. Math. Anal. 27, 558-577.
-
(1996)
SIAM J. Math. Anal.
, vol.27
, pp. 558-577
-
-
Jones, C.1
Kaper, T.2
Kopell, N.3
-
15
-
-
0002809936
-
Tracking invariant manifolds with differential forms in singularly perturbed systems
-
Jones, C. and Kopell, N. (1994). Tracking invariant manifolds with differential forms in singularly perturbed systems. J. Diff. Eqs. 108, 64-88.
-
(1994)
J. Diff. Eqs.
, vol.108
, pp. 64-88
-
-
Jones, C.1
Kopell, N.2
-
16
-
-
0000263519
-
Construction of the FitzHugh-Nagumo pulse using differential forms. Patterns and dynamics in reactive media (Minneapolis, MN, 1989)
-
Springer, New York
-
Jones, C., Kopell, N., and Langer, R. (1991). Construction of the FitzHugh-Nagumo pulse using differential forms. Patterns and dynamics in reactive media (Minneapolis, MN, 1989), IMA Vol. Math. Appl. 37, Springer, New York, pp. 101-115.
-
(1991)
IMA Vol. Math. Appl.
, vol.37
, pp. 101-115
-
-
Jones, C.1
Kopell, N.2
Langer, R.3
-
17
-
-
33749317702
-
A primer on the exchange lemma for fast-slow systems
-
IMA Vol. Math. Appl. Springer, New York
-
Kaper, T. and Jones, C. (2001). A primer on the exchange lemma for fast-slow systems. Multiple-time-scale Dynamical Systems (Minneapolis, MN, 1997), IMA Vol. Math. Appl. 122, Springer, New York, pp. 65-87.
-
(2001)
Multiple-time-scale Dynamical Systems (Minneapolis, MN, 1997)
, vol.122
, pp. 65-87
-
-
Kaper, T.1
Jones, C.2
-
18
-
-
0036052772
-
Extending geometric singular perturbation theory to nonhyperbolic points - Fold and canard points in two dimensions
-
Krupa, M. and Szmolyan, P. (2001). Extending geometric singular perturbation theory to nonhyperbolic points - fold and canard points in two dimensions. SIAM J. Math. Anal. 33, 286-314.
-
(2001)
SIAM J. Math. Anal.
, vol.33
, pp. 286-314
-
-
Krupa, M.1
Szmolyan, P.2
-
19
-
-
0035511458
-
Extending slow manifolds near trauscritical and pitchfork singularities
-
Krupa, M., and Szmolyan, P. (2001). Extending slow manifolds near trauscritical and pitchfork singularities. Nonlincarity 14, 1473-1491.
-
(2001)
Nonlincarity
, vol.14
, pp. 1473-1491
-
-
Krupa, M.1
Szmolyan, P.2
-
20
-
-
0002861754
-
Shadowing lemma and singularly perturbed boundary value problems
-
Lin, X.-B. (1989). Shadowing lemma and singularly perturbed boundary value problems. SIAM J. Appl. Math. 49, 26-54.
-
(1989)
SIAM J. Appl. Math.
, vol.49
, pp. 26-54
-
-
Lin, X.-B.1
-
21
-
-
38249018789
-
Heteroclinic bifurcation and singularly perturbed boundary value problems
-
Lin, X.-B. (1990). Heteroclinic bifurcation and singularly perturbed boundary value problems, J. Diff. Eqs. 84, 319-382.
-
(1990)
J. Diff. Eqs.
, vol.84
, pp. 319-382
-
-
Lin, X.-B.1
-
22
-
-
0013331861
-
Exchange Lemmas for singularly perturbed problems with certain turning points
-
Liu, W (2000). Exchange Lemmas for singularly perturbed problems with certain turning points. J. Diff. Eqs. 167, 134-180.
-
(2000)
J. Diff. Eqs.
, vol.167
, pp. 134-180
-
-
Liu, W.1
-
23
-
-
33749339106
-
Invariant manifolds for a rapidly oscillatory perturbation problem
-
World Sci. Publishing, River Edge, NJ
-
Liu, W. (2000). Invariant manifolds for a rapidly oscillatory perturbation problem. Differential equations and computational simulations (Chengdu, 1999), World Sci. Publishing, River Edge, NJ, pp. 215-224.
-
(2000)
Differential Equations and Computational Simulations (Chengdu, 1999)
, pp. 215-224
-
-
Liu, W.1
-
24
-
-
2942642811
-
Multiple viscous wave fan profiles for Riemann solutions of hyperbolic systems of conservation laws
-
Liu, W. (2004). Multiple viscous wave fan profiles for Riemann solutions of hyperbolic systems of conservation laws. Discrete Contin. Dyn. Syst. 10, 871-884.
-
(2004)
Discrete Contin. Dyn. Syst.
, vol.10
, pp. 871-884
-
-
Liu, W.1
-
25
-
-
21244486362
-
Geometric singular perturbation approach to steady-state Poisson-Nernst-Planck systems
-
Liu, W (2005). Geometric singular perturbation approach to steady-state Poisson-Nernst-Planck systems. SIAM J. Appl. Math. 65, 754-766.
-
(2005)
SIAM J. Appl. Math.
, vol.65
, pp. 754-766
-
-
Liu, W.1
-
26
-
-
33749354749
-
Geometric analysis of a singular boundary value problem with turning points
-
Liu, W (2005). Geometric analysis of a singular boundary value problem with turning points. Discrete Contin. Dyn. Syst. Supplementary, 624-633.
-
(2005)
Discrete Contin. Dyn. Syst.
, vol.SUPPL.
, pp. 624-633
-
-
Liu, W.1
-
27
-
-
33646342480
-
Turning points and traveling waves in FitzHugh-Nagumo type equations
-
Liu, W and Van Vleck, E. (2006). Turning points and traveling waves in FitzHugh-Nagumo type equations. J. Diff. Eqs. 225, 381-410.
-
(2006)
J. Diff. Eqs.
, vol.225
, pp. 381-410
-
-
Liu, W.1
Van Vleck, E.2
-
28
-
-
0037429351
-
Relaxation oscillations in a class of predator-prey systems
-
Liu, W., Xiao, D., and Yi, Y. (2003). Relaxation oscillations in a class of predator-prey systems. J. Diff. Eqs. 188, 306-331.
-
(2003)
J. Diff. Eqs.
, vol.188
, pp. 306-331
-
-
Liu, W.1
Xiao, D.2
Yi, Y.3
-
29
-
-
0003724619
-
-
Monographs in Contemporary Mathematics. Consultants Bureau, New York
-
Mishchenko, E. F., Koleso, Yu. S., Kolesov, A. Yu., and Rozo, N. Kh. (1994). Asymptotic Methods in Singularly Perturbed Systems. Monographs in Contemporary Mathematics. Consultants Bureau, New York.
-
(1994)
Asymptotic Methods in Singularly Perturbed Systems
-
-
Mishchenko, E.F.1
Koleso Yu., S.2
Kolesov, A.Yu.3
Rozo, N.Kh.4
-
30
-
-
84974487746
-
Invariant manifolds in singular perturbation problems for ordinary differential equations
-
Sakamoto, K. (1990). Invariant manifolds in singular perturbation problems for ordinary differential equations. Proc. Roy. Soc. Ed. 116A, 45-78.
-
(1990)
Proc. Roy. Soc. Ed.
, vol.116 A
, pp. 45-78
-
-
Sakamoto, K.1
-
31
-
-
0000348882
-
Persistent unstable equilibria and closed orbits of a singularly perturbed equation
-
Scheeter, S. (1985). Persistent unstable equilibria and closed orbits of a singularly perturbed equation. J. Diff. Eqs. 60, 131-141.
-
(1985)
J. Diff. Eqs.
, vol.60
, pp. 131-141
-
-
Scheeter, S.1
-
32
-
-
0041883277
-
Undercompressive shock waves and the Dafermos regularization
-
Schecter, S. (2002). Undercompressive shock waves and the Dafermos regularization, Nonlinearity 15, 1361-1377.
-
(2002)
Nonlinearity
, vol.15
, pp. 1361-1377
-
-
Schecter, S.1
-
33
-
-
33646410841
-
Composite waves in the Dafermos regularization
-
Schecter, S. and Szmolyan, P. (2004). Composite waves in the Dafermos regularization. J. Dynam. Diff. Eqs. 16, 847-867.
-
(2004)
J. Dynam. Diff. Eqs.
, vol.16
, pp. 847-867
-
-
Schecter, S.1
Szmolyan, P.2
-
34
-
-
84864618461
-
A geometric method for periodic orbits in singularly perturbed systems
-
Soto-Treviño, C. (2000). A geometric method for periodic orbits in singularly perturbed systems. The IMA Volumes in Mathematics and its Applications 122, 141-202.
-
(2000)
The IMA Volumes in Mathematics and Its Applications
, vol.122
, pp. 141-202
-
-
Soto-Treviño, C.1
-
35
-
-
0028743559
-
Invariant manifolds and singularly perturbed boundary value problems
-
Tin, S.-K., Kopell, N., and Jones, C. (1994). Invariant manifolds and singularly perturbed boundary value problems. SIAM J. Numer. Anal. 31, 1558-1576.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1558-1576
-
-
Tin, S.-K.1
Kopell, N.2
Jones, C.3
-
38
-
-
18744411007
-
Asymptotic expansions using blow-up
-
van Gils, S., Krupa, M., and Szmolyan, P. (2005). Asymptotic expansions using blow-up. Z. Angew. Math. Phys. 56, 369-397.
-
(2005)
Z. Angew. Math. Phys.
, vol.56
, pp. 369-397
-
-
Van Gils, S.1
Krupa, M.2
Szmolyan, P.3
|