-
1
-
-
0040379282
-
Bifurcation of periodic travelling waves for a reaction-diffusion system
-
Ordinary and partial differential equations (Dundee, 1982), Springer, Berlin-New York
-
Barrow, D. L.; Bates, P. W. Bifurcation of periodic travelling waves for a reaction-diffusion system. Ordinary and partial differential equations (Dundee, 1982), 69-76, Lecture Notes in Math., 964. Springer, Berlin-New York, 1982.
-
(1982)
Lecture Notes in Math.
, vol.964
, pp. 69-76
-
-
Barrow, D.L.1
Bates, P.W.2
-
2
-
-
0039848650
-
Bifurcation and stability of periodic traveling waves for a reactiondiffusion system
-
Barrow, D. L.; Bates, P. W. Bifurcation and stability of periodic traveling waves for a reactiondiffusion system. J Differential Equations 50 ( 1983), no. 2, 218-233.
-
(1983)
J Differential Equations
, vol.50
, Issue.2
, pp. 218-233
-
-
Barrow, D.L.1
Bates, P.W.2
-
3
-
-
0040379281
-
Invariant manifolds for perturbations of nonlinear parabolic systems with symmetry
-
Nonlinear systems of partial differential equations in applied mathematics, Part 2 (Santa Fe, N.M., 1984), Amer. Math. Soc., Providence, R.I.
-
Bates, P. W. Invariant manifolds for perturbations of nonlinear parabolic systems with symmetry (preliminary report). Nonlinear systems of partial differential equations in applied mathematics, Part 2 (Santa Fe, N.M., 1984), 209-217, Lectures in Appl. Math., 23. Amer. Math. Soc., Providence, R.I., 1986.
-
(1986)
Lectures in Appl. Math.
, vol.23
, pp. 209-217
-
-
Bates, P.W.1
-
4
-
-
33748109655
-
Existence and persistence of invariant manifolds for semiflows in Banach space
-
Bates, P. W.; Lu, K.; Zeng, C. Existence and persistence of invariant manifolds for semiflows in Banach space. Mem. Amer. Math. Soc. 135, (1998), no. 645.
-
(1998)
Mem. Amer. Math. Soc.
, vol.135
, Issue.645
-
-
Bates, P.W.1
Lu, K.2
Zeng, C.3
-
5
-
-
0039194640
-
Normally hyperbolic invariant manifolds for semiflow in a Banach space
-
International Press, Cambridge, MA
-
Bates, P. W.; Lu, K.; Zeng, C. Normally hyperbolic invariant manifolds for semiflow in a Banach space. Differential equations and applications (Hangzhou, 1996), 22-29, International Press, Cambridge, MA, 1997.
-
(1997)
Differential Equations and Applications (Hangzhou, 1996)
, pp. 22-29
-
-
Bates, P.W.1
Lu, K.2
Zeng, C.3
-
6
-
-
85033968690
-
Invariant foliations near a normally hyperbolic invariant manifold for semiflow
-
to appear
-
Bates, P. W.; Lu, K.; Zeng, C. Invariant foliations near a normally hyperbolic invariant manifold for semiflow. Trans. Amer. Math. Soc., to appear.
-
Trans. Amer. Math. Soc.
-
-
Bates, P.W.1
Lu, K.2
Zeng, C.3
-
7
-
-
0022025303
-
Pattern propagation in nonlinear dissipative systems
-
Ben-Jacob, E.; Brand, H.; Dee, G.; Kramer, L.; Langer, J. S. Pattern propagation in nonlinear dissipative systems. Phys. D 14 (1985), no. 3, 348-364.
-
(1985)
Phys. D
, vol.14
, Issue.3
, pp. 348-364
-
-
Ben-Jacob, E.1
Brand, H.2
Dee, G.3
Kramer, L.4
Langer, J.S.5
-
8
-
-
0000656844
-
Smoothness of inertial manifolds
-
Chow, S.-N.; Lu, K.; Sell, G. R. Smoothness of inertial manifolds. J. Math. Anal. Appl. 169 (1992), no. 1,283-312.
-
(1992)
J. Math. Anal. Appl.
, vol.169
, Issue.1
, pp. 283-312
-
-
Chow, S.-N.1
Lu, K.2
Sell, G.R.3
-
9
-
-
0000997882
-
The existence of infinitely many traveling front and back waves in the FitzHughNagumo equations
-
Deng, B. The existence of infinitely many traveling front and back waves in the FitzHughNagumo equations. SIAM J. Math. Anal. 22 (1991), no. 6, 1631-1650.
-
(1991)
SIAM J. Math. Anal.
, vol.22
, Issue.6
, pp. 1631-1650
-
-
Deng, B.1
-
10
-
-
0000612887
-
Propagating pattern selection
-
Dee, G.; Langer, J. S. Propagating pattern selection. Phys. Rev. Lett 50 (1983), 383-386.
-
(1983)
Phys. Rev. Lett
, vol.50
, pp. 383-386
-
-
Dee, G.1
Langer, J.S.2
-
11
-
-
0001356311
-
Persistence and smoothness of invariant manifolds for flows
-
Fenichel, N. Persistence and smoothness of invariant manifolds for flows. Indiana Univ. Math. J. 21 (1971/1972), 193-226.
-
(1971)
Indiana Univ. Math. J.
, vol.21
, pp. 193-226
-
-
Fenichel, N.1
-
12
-
-
0016070051
-
Asymptotic stability with rate conditions
-
Fenichel, N. Asymptotic stability with rate conditions. Indiana Univ. Math. J. 23 (1973/74), 1109-1137.
-
(1973)
Indiana Univ. Math. J.
, vol.23
, pp. 1109-1137
-
-
Fenichel, N.1
-
13
-
-
0001957566
-
Asymptotic stability with rate conditions. II
-
Fenichel, N. Asymptotic stability with rate conditions. II. Indiana Univ. Math. J. 26 (1977), no. 1,81-93.
-
(1977)
Indiana Univ. Math. J.
, vol.26
, Issue.1
, pp. 81-93
-
-
Fenichel, N.1
-
14
-
-
34250627892
-
Geometric singular perturbation theory for ordinary differential equations
-
Fenichel, N. Geometric singular perturbation theory for ordinary differential equations. J. Differential Equations 31 ( 1979), no. 1, 53-98.
-
(1979)
J. Differential Equations
, vol.31
, Issue.1
, pp. 53-98
-
-
Fenichel, N.1
-
15
-
-
0010021714
-
An invariant-manifold analysis of electrophoretic traveling waves
-
Gardner, R. A. An invariant-manifold analysis of electrophoretic traveling waves. J. Dynamics Differential Equations 5 (1993), no. 4, 599-606.
-
(1993)
J. Dynamics Differential Equations
, vol.5
, Issue.4
, pp. 599-606
-
-
Gardner, R.A.1
-
16
-
-
21144479369
-
A geometric singular perturbation analysis of detonation and deflagration waves
-
Gasser, I.; Szmolyan, P. A geometric singular perturbation analysis of detonation and deflagration waves. SIAM J. Math. Anal. 24 (1993), no. 4, 968-986.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, Issue.4
, pp. 968-986
-
-
Gasser, I.1
Szmolyan, P.2
-
17
-
-
0000962873
-
Sur l'iteration et les solutions asymptotiques des équations differentielles
-
Hadamard, J. Sur l'iteration et les solutions asymptotiques des équations differentielles. Bull. Soc. Math. France 29 (1901), 224-228.
-
(1901)
Bull. Soc. Math. France
, vol.29
, pp. 224-228
-
-
Hadamard, J.1
-
18
-
-
21844501994
-
N -pulse homoclinic orbits in perturbations of resonant Hamiltonian systems
-
Haller, G.; Wiggins, S. N -pulse homoclinic orbits in perturbations of resonant Hamiltonian systems. Arch. Rational Mech. Anal. 130 (1995), no. 1,25-101.
-
(1995)
Arch. Rational Mech. Anal.
, vol.130
, Issue.1
, pp. 25-101
-
-
Haller, G.1
Wiggins, S.2
-
19
-
-
0003304963
-
Geometric theory of semilinear parabolic equations
-
Springer-Verlag, Berlin-New York
-
Henry, D. Geometric theory of semilinear parabolic equations. Lecture Notes in Mathematics, 840. Springer-Verlag, Berlin-New York, 1981.
-
(1981)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
21
-
-
0001441740
-
Invariant manifolds
-
Springer-Verlag, Berlin-New York
-
Hirsch, M. W.; Pugh, C. C.; Shub, M. Invariant manifolds. Lecture Notes in Mathematics, Vol. 583. Springer-Verlag, Berlin-New York, 1977.
-
(1977)
Lecture Notes in Mathematics
, vol.583
-
-
Hirsch, M.W.1
Pugh, C.C.2
Shub, M.3
-
22
-
-
0002316532
-
Geometric singular perturbation theory
-
Dynamical systems (Montecatini Terme, 1994), Springer, Berlin
-
Jones, C. K. R. T. Geometric singular perturbation theory. Dynamical systems (Montecatini Terme, 1994), 44-118, Lecture Notes in Math., 1609. Springer, Berlin, 1995.
-
(1995)
Lecture Notes in Math.
, vol.1609
, pp. 44-118
-
-
Jones, C.K.R.T.1
-
23
-
-
0002809936
-
Tracking invariant manifolds with differential forms in singularly perturbed systems
-
Jones, C. K. R. T.; Kopell, N. Tracking invariant manifolds with differential forms in singularly perturbed systems. J. Differential Equations 108 (1994), no. 1, 64-88.
-
(1994)
J. Differential Equations
, vol.108
, Issue.1
, pp. 64-88
-
-
Jones, C.K.R.T.1
Kopell, N.2
-
25
-
-
0002307231
-
Orbits homoclinic to resonances, with an application to chaos in a model of the forced and damped sine-Gordon equation
-
Kovačič, G,; Wiggins, S. Orbits homoclinic to resonances, with an application to chaos in a model of the forced and damped sine-Gordon equation. Phys. D 57 (1992), nos. 1-2, 185-225.
-
(1992)
Phys. D
, vol.57
, Issue.1-2
, pp. 185-225
-
-
Kovačič, G.1
Wiggins, S.2
-
27
-
-
0002431748
-
Invariant manifolds for flows
-
Academic Press, New York
-
Kurzweil, J. Invariant manifolds for flows. Differential Equations and Dynamical Systems (Proc. Internat. Sympos., Mayaguez, P.R., 1965), 431-68. Academic Press, New York, 1967.
-
(1967)
Differential Equations and Dynamical Systems (Proc. Internat. Sympos., Mayaguez, P.R., 1965)
, pp. 431-468
-
-
Kurzweil, J.1
-
28
-
-
0009071415
-
Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations
-
Springer-Verlag, New York
-
Li, C.; Wiggins, S. Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations. Applied Mathematical Sciences, 128. Springer-Verlag, New York, 1997.
-
(1997)
Applied Mathematical Sciences
, vol.128
-
-
Li, C.1
Wiggins, S.2
-
29
-
-
0030506927
-
Persistent homoclinic orbits for a perturbed nonlinear Schrödinger equation
-
Li, Y; McLaughlin, D. W.; Shatah, J.; Wiggins, S. Persistent homoclinic orbits for a perturbed nonlinear Schrödinger equation. Comm. Pure Appl. Math. 49 (1996), no. 11,1175-1255.
-
(1996)
Comm. Pure Appl. Math.
, vol.49
, Issue.11
, pp. 1175-1255
-
-
Li, Y.1
McLaughlin, D.W.2
Shatah, J.3
Wiggins, S.4
-
30
-
-
0002861754
-
Shadowing lemma and singularly perturbed boundary value problems
-
Lin, X.-B. Shadowing lemma and singularly perturbed boundary value problems. SIAM J. Appl. Math. 49 (1989), no. 1, 26-54.
-
(1989)
SIAM J. Appl. Math.
, vol.49
, Issue.1
, pp. 26-54
-
-
Lin, X.-B.1
-
31
-
-
84863341615
-
The general problem of the stability of motion
-
Translated by A. T. Fuller from Édouard Davaux's French translation (1907) of the 1892 Russian original. With an editorial (historical introduction) by Fuller, a biography of Lyapunov by V. I. Smirnov, and the bibliography of Lyapunov's works collected by J. F. Barrett. Lyapunov centenary issue
-
Lyapunov, A. M. The general problem of the stability of motion. Translated by A. T. Fuller from Édouard Davaux's French translation (1907) of the 1892 Russian original. With an editorial (historical introduction) by Fuller, a biography of Lyapunov by V. I. Smirnov, and the bibliography of Lyapunov's works collected by J. F. Barrett. Lyapunov centenary issue. Internat. J. Control 55 (1992), no. 3, 521-790.
-
(1992)
Internat. J. Control
, vol.55
, Issue.3
, pp. 521-790
-
-
Lyapunov, A.M.1
-
32
-
-
84972517890
-
Travelling wave solutions to a perturbed Korteweg-de Vries equation
-
Ogawa, T. Travelling wave solutions to a perturbed Korteweg-de Vries equation. Hiroshima Math. J. 24 (1994), no. 2, 401-422.
-
(1994)
Hiroshima Math. J.
, vol.24
, Issue.2
, pp. 401-422
-
-
Ogawa, T.1
-
33
-
-
0001027322
-
Über stabilität und asymptotisches verhalten der integrale von differentialgleichungssystemen
-
Perron, O. Über Stabilität und asymptotisches verhalten der integrale von differentialgleichungssystemen. Math. Z. 29 (1928), 129-160.
-
(1928)
Math. Z.
, vol.29
, pp. 129-160
-
-
Perron, O.1
-
34
-
-
84941492282
-
Über stabilität und asymptotisches verhalten der lösungen eines systems endlicher differenzengleichungen
-
Perron, O. Über Stabilität und asymptotisches Verhalten der lösungen eines systems endlicher Differenzengleichungen. J. Reine Angew. Math. 161 (1929), 41-64.
-
(1929)
J. Reine Angew. Math.
, vol.161
, pp. 41-64
-
-
Perron, O.1
-
35
-
-
7944237817
-
Die stabilitätsfrage bei differentialgleichungen
-
Perron, O. Die Stabilitätsfrage bei differentialgleichungen. Math. Z. 32 (1930), 703-728.
-
(1930)
Math. Z.
, vol.32
, pp. 703-728
-
-
Perron, O.1
-
36
-
-
0018702717
-
Stability and fluctuations of spatially periodic convective flow
-
Pomeau, Y; Manneville, P. Stability and fluctuations of spatially periodic convective flow. J. Phys. Lett 40 (1979), 609-612.
-
(1979)
J. Phys. Lett
, vol.40
, pp. 609-612
-
-
Pomeau, Y.1
Manneville, P.2
-
37
-
-
84974487746
-
Invariant manifolds in singular perturbation problems for ordinary differential equations
-
Sakamoto, K. Invariant manifolds in singular perturbation problems for ordinary differential equations. Proc. Roy. Soc. Edinburgh Sect. A 116 (1990), nos. 1-2, 45-78.
-
(1990)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.116
, Issue.1-2
, pp. 45-78
-
-
Sakamoto, K.1
-
38
-
-
44949272344
-
Transversal heteroclinic and homoclinic orbits in singular perturbed problems
-
Szmolyan, P. Transversal heteroclinic and homoclinic orbits in singular perturbed problems. J. Differential Equations 92 ( 1991 ), no. 2, 252-281.
-
(1991)
J. Differential Equations
, vol.92
, Issue.2
, pp. 252-281
-
-
Szmolyan, P.1
-
39
-
-
34249839599
-
The transition from bursting to continuous spiking in excitable membrane models
-
Terman, D. The transition from bursting to continuous spiking in excitable membrane models. J. Nonlinear Sci. 2 (1992), no. 2, 135-182.
-
(1992)
J. Nonlinear Sci.
, vol.2
, Issue.2
, pp. 135-182
-
-
Terman, D.1
|