-
1
-
-
0002272811
-
Complex dynamics of a catalytic network having faulty replication into error-species
-
Andrade M A, Nuño J C, Morán F, Montera F and Mpitsos GJ 1993 Complex dynamics of a catalytic network having faulty replication into error-species Physica D 63 21-40
-
(1993)
Physica D
, vol.63
, pp. 21-40
-
-
Andrade, M.A.1
Nuño, J.C.2
Morán, F.3
Montera, F.4
Mpitsos, G.J.5
-
2
-
-
0033038309
-
A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
-
Barrio R A, Varea C, Aragòn J L and Maini P K 1999 A two-dimensional numerical study of spatial pattern formation in interacting Turing systems Bull. Math. Boil. 61 483-505
-
(1999)
Bull. Math. Boil.
, vol.61
, pp. 483-505
-
-
Barrio, R.A.1
Varea, C.2
Aragòn, J.L.3
Maini, P.K.4
-
3
-
-
0034687912
-
Equilibria with many nuclei for the Cahn-Hilliard equation
-
Bates P and Fusco G 2000 Equilibria with many nuclei for the Cahn-Hilliard equation J. Diff. Eq. 160 283-356
-
(2000)
J. Diff. Eq.
, vol.160
, pp. 283-356
-
-
Bates, P.1
Fusco, G.2
-
4
-
-
84894599571
-
Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability
-
Bates P, Dancer E N and Shi J 1999 Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability Adv. Diff. Eq. 4 1-69
-
(1999)
Adv. Diff. Eq.
, vol.4
, pp. 1-69
-
-
Bates, P.1
Dancer, E.N.2
Shi, J.3
-
5
-
-
44949280567
-
Spiral wave structure in pre-biotic evolution: Hypercycles stable against parasites
-
Boerlijst M C and Hogeweg P 1991 Spiral wave structure in pre-biotic evolution: hypercycles stable against parasites Physica D 48 17-28
-
(1991)
Physica D
, vol.48
, pp. 17-28
-
-
Boerlijst, M.C.1
Hogeweg, P.2
-
7
-
-
0001318745
-
Spatial dynamics of a model for prebiotic evolution
-
Chacón P and Nuño J C 1995 Spatial dynamics of a model for prebiotic evolution Physica D 81 398-410
-
(1995)
Physica D
, vol.81
, pp. 398-410
-
-
Chacón, P.1
Nuño, J.C.2
-
8
-
-
0027965164
-
Hypercycles versus parasites in a two-dimensional partial differential equations model
-
Cronhjort M B and Blomberg C 1994 Hypercycles versus parasites in a two-dimensional partial differential equations model J. Theor. Boil. 169 31-49
-
(1994)
J. Theor. Boil.
, vol.169
, pp. 31-49
-
-
Cronhjort, M.B.1
Blomberg, C.2
-
9
-
-
0000074953
-
Cluster compartmentalization may provide resistance to parasites for catalytic networks
-
Cronhjort M B and Blomberg C 1997 Cluster compartmentalization may provide resistance to parasites for catalytic networks Physica D 101 289-98
-
(1997)
Physica D
, vol.101
, pp. 289-298
-
-
Cronhjort, M.B.1
Blomberg, C.2
-
10
-
-
0033233496
-
On the role of mean curvature in some singularly perturbed Neumann problems
-
del Pino M, Felmer P and Wei J 1999 On the role of mean curvature in some singularly perturbed Neumann problems SIAM. J. Math. Anal. 31 63-79
-
(1999)
SIAM. J. Math. Anal.
, vol.31
, pp. 63-79
-
-
Del Pino, M.1
Felmer, P.2
Wei, J.3
-
11
-
-
0005468518
-
Stability analysis of singular patterns in the 1-D Gray-Scott model: A matched asymptotic approach
-
Doelman A, Gardner A and Kaper T J 1998 Stability analysis of singular patterns in the 1-D Gray-Scott model: a matched asymptotic approach Physica D 122 1-36
-
(1998)
Physica D
, vol.122
, pp. 1-36
-
-
Doelman, A.1
Gardner, A.2
Kaper, T.J.3
-
13
-
-
0000706319
-
Pattern formation in the one-dimensional Gray-Scott model
-
Doelman A, Kaper T and Zegeling P A 1997 Pattern formation in the one-dimensional Gray-Scott model Nonlinearity 10 523-63
-
(1997)
Nonlinearity
, vol.10
, pp. 523-563
-
-
Doelman, A.1
Kaper, T.2
Zegeling, P.A.3
-
17
-
-
0032194927
-
Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
-
Gui C and Ghoussoub N 1998 Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent Math. Z. 229 443-74
-
(1998)
Math. Z.
, vol.229
, pp. 443-474
-
-
Gui, C.1
Ghoussoub, N.2
-
18
-
-
0020607165
-
Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Isolas and other forms of multistability
-
Gray P and Scott S K 1983 Autocatalytic reactions in the isothermal, continuous stirred tank reactor: isolas and other forms of multistability Chem. Eng. Sci. 38 29-43
-
(1983)
Chem. Eng. Sci.
, vol.38
, pp. 29-43
-
-
Gray, P.1
Scott, S.K.2
-
19
-
-
0021310291
-
Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Oscillations and instabilities in the system
-
Gray P and Scott S K 1984 Autocatalytic reactions in the isothermal, continuous stirred tank reactor: oscillations and instabilities in the system A + 2B → 3B, B → C Chem. Eng. Sci. 39 1087-97
-
(1984)
A + 2B → 3B, B → C Chem. Eng. Sci.
, vol.39
, pp. 1087-1097
-
-
Gray, P.1
Scott, S.K.2
-
20
-
-
0000860177
-
Multi-peak solutions for a semilinear Neumann problem
-
Gui C 1996 Multi-peak solutions for a semilinear Neumann problem Duke Math. J. 84 739-69
-
(1996)
Duke Math. J.
, vol.84
, pp. 739-769
-
-
Gui, C.1
-
22
-
-
0002610597
-
Multiple interior peak solutions for some singularly perturbed Neumann problems
-
Gui C and Wei J 1999 Multiple interior peak solutions for some singularly perturbed Neumann problems J. Diff. Eq. 158 1-27
-
(1999)
J. Diff. Eq.
, vol.158
, pp. 1-27
-
-
Gui, C.1
Wei, J.2
-
23
-
-
0002025752
-
Multiple boundary peak solutions for some singularly perturbed Neumann problems
-
Gui C, Wei J and Winter M 2000 Multiple boundary peak solutions for some singularly perturbed Neumann problems Ann. Inst. H Poincaré Anal. Non Linéaire 17 249-89
-
(2000)
Ann. Inst. H Poincaré Anal. Non Linéaire
, vol.17
, pp. 249-289
-
-
Gui, C.1
Wei, J.2
Winter, M.3
-
25
-
-
0003126227
-
Stability and instability of Gray-Scott model: The case of equal diffusivities
-
Hale J K, Peletier L A and Troy W C 1999 Stability and instability of Gray-Scott model: the case of equal diffusivities Appl. Math. Lett. 12 59-65
-
(1999)
Appl. Math. Lett.
, vol.12
, pp. 59-65
-
-
Hale, J.K.1
Peletier, L.A.2
Troy, W.C.3
-
26
-
-
84972508309
-
Uniqueness of positive solutions of Δu + f (u) = 0 in an annulus
-
Kwong M K and Zhang L 1991 Uniqueness of positive solutions of Δu + f (u) = 0 in an annulus Diff. Int. Eq. 4 583-99
-
(1991)
Diff. Int. Eq.
, vol.4
, pp. 583-599
-
-
Kwong, M.K.1
Zhang, L.2
-
27
-
-
0002057398
-
Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and approximate invariant manifold
-
Kowalczyk M 1999 Multiple spike layers in the shadow Gierer-Meinhardt system: existence of equilibria and approximate invariant manifold Duke Math. J. 98 59-111
-
(1999)
Duke Math. J.
, vol.98
, pp. 59-111
-
-
Kowalczyk, M.1
-
28
-
-
0000984635
-
On a singularly perturbed equation with Neumann boundary condition
-
Li Y-Y 1998 On a singularly perturbed equation with Neumann boundary condition Commun. Part. Diff. Eq. 23 487-545
-
(1998)
Commun. Part. Diff. Eq.
, vol.23
, pp. 487-545
-
-
Li, Y.-Y.1
-
29
-
-
0000102527
-
Evolutionary dynamics of spatial games
-
Lindgren K and Nordahl M G 1994 Evolutionary dynamics of spatial games Physica D 75 292-309
-
(1994)
Physica D
, vol.75
, pp. 292-309
-
-
Lindgren, K.1
Nordahl, M.G.2
-
31
-
-
84990581933
-
On the shape of least energy solution to a semilinear Neumann problem
-
Ni W-M and Takagi I 1991 On the shape of least energy solution to a semilinear Neumann problem Commun. Pure Appl. Math. 41 819-51
-
(1991)
Commun. Pure Appl. Math.
, vol.41
, pp. 819-851
-
-
Ni, W.-M.1
Takagi, I.2
-
32
-
-
84971179248
-
Locating the peaks of least energy solutions to a semilinear Neumann problem
-
Ni W-M and Takagi I 1993 Locating the peaks of least energy solutions to a semilinear Neumann problem Duke Math. J. 70 247-81
-
(1993)
Duke Math. J.
, vol.70
, pp. 247-281
-
-
Ni, W.-M.1
Takagi, I.2
-
33
-
-
0001672333
-
Point-condensation generated by a reaction-diffusion system in axially symmetric domains
-
Ni W-M and Takagi I 1995 Point-condensation generated by a reaction-diffusion system in axially symmetric domains Japan J. Ind. Appl. Math. 12 327-65
-
(1995)
Japan J. Ind. Appl. Math.
, vol.12
, pp. 327-365
-
-
Ni, W.-M.1
Takagi, I.2
-
35
-
-
0347038753
-
A skeleton structure of self-replicating dynamics
-
to appear
-
Nishiura Y and Ueyama D 1999 A skeleton structure of self-replicating dynamics Physcia D to appear
-
(1999)
Physcia D
-
-
Nishiura, Y.1
Ueyama, D.2
-
36
-
-
84990662413
-
On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems
-
Ni W-M and Wei J 1995 On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems Commun. Pure Appl. Math. 48 731-68
-
(1995)
Commun. Pure Appl. Math.
, vol.48
, pp. 731-768
-
-
Ni, W.-M.1
Wei, J.2
-
37
-
-
0003002827
-
Diffusion, cross-diffusion and their spike-layer steady states
-
Ni W-M 1998 Diffusion, cross-diffusion and their spike-layer steady states Not. Am. Math. Soc. 45 9-18
-
(1998)
Not. Am. Math. Soc.
, vol.45
, pp. 9-18
-
-
Ni, W.-M.1
-
38
-
-
0026613691
-
Evolutionary games and spatial chaos
-
Nowak M A and May R M 1993 Evolutionary games and spatial chaos Nature 359 826-9
-
(1993)
Nature
, vol.359
, pp. 826-829
-
-
Nowak, M.A.1
May, R.M.2
-
39
-
-
0000838693
-
Dynamics of self-replicating spots in reaction-diffusion systems
-
Reynolds J, Pearson J and Ponce-Dawson S 1997 Dynamics of self-replicating spots in reaction-diffusion systems Phys. Rev. E 56 185-98
-
(1997)
Phys. Rev. E
, vol.56
, pp. 185-198
-
-
Reynolds, J.1
Pearson, J.2
Ponce-Dawson, S.3
-
40
-
-
0001360757
-
Dynamics of self-replicating patterns in reaction diffusion systems
-
Reynolds J, Pearson J and Ponce-Dawson S 1994 Dynamics of self-replicating patterns in reaction diffusion systems Phys. Rev. Lett. 72 2797-800
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 2797-2800
-
-
Reynolds, J.1
Pearson, J.2
Ponce-Dawson, S.3
-
41
-
-
0042624339
-
An asymptotic analysis of localized solutions for some reaction-diffusion models in multi-dimensional domains
-
Ward M J 1996 An asymptotic analysis of localized solutions for some reaction-diffusion models in multi-dimensional domains Stud. Appl. Math. 97 103-26
-
(1996)
Stud. Appl. Math.
, vol.97
, pp. 103-126
-
-
Ward, M.J.1
-
42
-
-
0030578649
-
On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem
-
Wei J 1996 On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem J. Diff. Eq. 129 315-33
-
(1996)
J. Diff. Eq.
, vol.129
, pp. 315-333
-
-
Wei, J.1
-
43
-
-
0031562011
-
On the boundary spike layer solutions of singularly perturbed semilinear Neumann problem
-
Wei J 1997 On the boundary spike layer solutions of singularly perturbed semilinear Neumann problem J. Diff. Eq. 134 104-33
-
(1997)
J. Diff. Eq.
, vol.134
, pp. 104-133
-
-
Wei, J.1
-
44
-
-
0347188202
-
On the interior spike layer solutions for some singular perturbation problems
-
Wei J 1998 On the interior spike layer solutions for some singular perturbation problems Proc. R. Soc. Edin. A 128 849-74
-
(1998)
Proc. R. Soc. Edin. A
, vol.128
, pp. 849-874
-
-
Wei, J.1
-
45
-
-
0032398054
-
On the interior spike layer solutions of singularly perturbed semilinear Neumann problem
-
Wei J 1998 On the interior spike layer solutions of singularly perturbed semilinear Neumann problem Tohoku Math. J. 50 159-78
-
(1998)
Tohoku Math. J.
, vol.50
, pp. 159-178
-
-
Wei, J.1
-
47
-
-
0033414750
-
On single interior spike solutions of Gierer-Meinhardt system: Uniqueness, spectrum estimates and stability analysis
-
Wei J 1999 On single interior spike solutions of Gierer-Meinhardt system: uniqueness, spectrum estimates and stability analysis Eur. J. Appl. Math. 10 353-78
-
(1999)
Eur. J. Appl. Math.
, vol.10
, pp. 353-378
-
-
Wei, J.1
-
48
-
-
0033130430
-
Existence, stability and metastability of point condensation patterns generated by Gray-Scott system
-
Wei J 1999 Existence, stability and metastability of point condensation patterns generated by Gray-Scott system Nonlinearity 12 593-616
-
(1999)
Nonlinearity
, vol.12
, pp. 593-616
-
-
Wei, J.1
-
49
-
-
0002185068
-
On two dimensional Gray-Scott model: Existence of single pulse solutions and their stability
-
to appear
-
Wei J On two dimensional Gray-Scott model: existence of single pulse solutions and their stability Phys. D to appear
-
Phys. D
-
-
Wei, J.1
-
51
-
-
0000068099
-
Multiple boundary spike solutions for a wide class of singular perturbation problems
-
Wei J and Winter M 1999 Multiple boundary spike solutions for a wide class of singular perturbation problems J. Lond. Math. Soc. 59 585-606
-
(1999)
J. Lond. Math. Soc.
, vol.59
, pp. 585-606
-
-
Wei, J.1
Winter, M.2
|