-
1
-
-
0031531518
-
Algorithms for computing normally hyperbolic invariant manifolds
-
Broer H.W., Osinga H.M., Vegter G., Algorithms for computing normally hyperbolic invariant manifolds. Z. Angew. Math. Phys. 48:1997;480-524.
-
(1997)
Z. Angew. Math. Phys.
, vol.48
, pp. 480-524
-
-
Broer, H.W.1
Osinga, H.M.2
Vegter, G.3
-
2
-
-
0004811984
-
A shadowing lemma with applications to semilinear parabolic equations
-
Chow S.N., Lin X.B., Palmer K.J., A shadowing lemma with applications to semilinear parabolic equations. SIAM J. Math. Anal. 20:1989;547-557.
-
(1989)
SIAM J. Math. Anal.
, vol.20
, pp. 547-557
-
-
Chow, S.N.1
Lin, X.B.2
Palmer, K.J.3
-
4
-
-
0002709196
-
Dichotomy in stability theory
-
Springer, New York
-
W.A. Coppel, Dichotomy in Stability Theory, Lecture Notes in Mathematics, vol. 629, Springer, New York, 1978.
-
(1978)
Lecture Notes in Mathematics
, vol.629
-
-
Coppel, W.A.1
-
5
-
-
0041293196
-
On the stable manifold theorem for discrete time dependent processes in Banach spaces
-
de Blasi F.S., Schinas J., On the stable manifold theorem for discrete time dependent processes in Banach spaces. Bull. London Math. Soc. 5:1973;275-282.
-
(1973)
Bull. London Math. Soc.
, vol.5
, pp. 275-282
-
-
De Blasi, F.S.1
Schinas, J.2
-
6
-
-
0024720053
-
Contour dynamics and contour surgery: Numerical algorithms for extended, high-resolution modelling of vortex dynamics in two-dimensional, inviscid, incompressible flows
-
Dritschel D.G., Contour dynamics and contour surgery: numerical algorithms for extended, high-resolution modelling of vortex dynamics in two-dimensional, inviscid, incompressible flows. Comput. Phys. Rep. 10:1989;77-146.
-
(1989)
Comput. Phys. Rep.
, vol.10
, pp. 77-146
-
-
Dritschel, D.G.1
-
7
-
-
0031456101
-
A contour-advective semi-Lagrangian numerical algorithm for simulating fine-scale conservative dynamical fields
-
Dritschel D.G., Ambaum M.H.P., A contour-advective semi-Lagrangian numerical algorithm for simulating fine-scale conservative dynamical fields. Quart. J. Roy. Meteor. Soc. 123:1997;1097-1130.
-
(1997)
Quart. J. Roy. Meteor. Soc.
, vol.123
, pp. 1097-1130
-
-
Dritschel, D.G.1
Ambaum, M.H.P.2
-
8
-
-
0003983811
-
-
Robert E. Krieger Publishing Co., Inc., Malabar, FL
-
J.K. Hale, Ordinary Differential Equations, Robert E. Krieger Publishing Co., Inc., Malabar, FL, 1980.
-
(1980)
Ordinary Differential Equations
-
-
Hale, J.K.1
-
9
-
-
0003304963
-
Geometric theory of semilinear parabolic equations
-
Springer, New York
-
D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, vol. 840, Springer, New York, 1981.
-
(1981)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
10
-
-
0001876086
-
An efficient method for computing invariant manifolds for planar maps
-
Hobson D., An efficient method for computing invariant manifolds for planar maps. J. Comput. Phys. 104:1993;14-22.
-
(1993)
J. Comput. Phys.
, vol.104
, pp. 14-22
-
-
Hobson, D.1
-
11
-
-
0036315576
-
Distinguished hyperbolic trajectories in time dependent fluid flows: Analytical and computational approach for velocity fields defined as data sets
-
K. Ide, D. Small, S. Wiggins, Distinguished hyperbolic trajectories in time dependent fluid flows: analytical and computational approach for velocity fields defined as data sets, Nonlin. Process. Geophys. 9 (3/4) (2002) 237-263.
-
(2002)
Nonlin. Process. Geophys.
, vol.9
, Issue.3-4
, pp. 237-263
-
-
Ide, K.1
Small, D.2
Wiggins, S.3
-
12
-
-
0042795968
-
Hyperbolic time-dependent processes
-
Irwin M.C., Hyperbolic time-dependent processes. Bull. London Math. Soc. 5:1973;209-217.
-
(1973)
Bull. London Math. Soc.
, vol.5
, pp. 209-217
-
-
Irwin, M.C.1
-
13
-
-
0041293197
-
Existence and computation of hyperbolic trajectories of aperiodically time dependent vector fields and their approximations
-
to be published
-
N. Ju, D. Small, S. Wiggins, Existence and computation of hyperbolic trajectories of aperiodically time dependent vector fields and their approximations, Int. J. Bifurcat. Chaos, to be published.
-
Int. J. Bifurcat. Chaos
-
-
Ju, N.1
Small, D.2
Wiggins, S.3
-
16
-
-
0031527178
-
Nonautonomous systems, cocycle attractors, and variable time-step discretization
-
Kloeden P.E., Schmalfuss B., Nonautonomous systems, cocycle attractors, and variable time-step discretization. Numer. Algorithms. 14:1997;141-152.
-
(1997)
Numer. Algorithms
, vol.14
, pp. 141-152
-
-
Kloeden, P.E.1
Schmalfuss, B.2
-
17
-
-
0042795974
-
Plotting stable manifolds: Error estimates and noninvertible maps
-
Kostelich E.J., Yorke J.A., You Z., Plotting stable manifolds: error estimates and noninvertible maps. Physica D. 93:1996;210-222.
-
(1996)
Physica D
, vol.93
, pp. 210-222
-
-
Kostelich, E.J.1
Yorke, J.A.2
You, Z.3
-
18
-
-
0000010680
-
Growing 1D and quasi-2D unstable manifolds of maps
-
Krauskopf B., Osinga H., Growing 1D and quasi-2D unstable manifolds of maps. J. Comput. Phys. 146:1998;404-419.
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 404-419
-
-
Krauskopf, B.1
Osinga, H.2
-
19
-
-
0042279255
-
Stability, instability, and bifurcation phenomena in non-autonomous differential equations
-
Langa J.A., Robinson J.C., Suàrez A., Stability, instability, and bifurcation phenomena in non-autonomous differential equations. Nonlinearity. 15:2002;887-903.
-
(2002)
Nonlinearity
, vol.15
, pp. 887-903
-
-
Langa, J.A.1
Robinson, J.C.2
Suàrez, A.3
-
20
-
-
0009253210
-
Homoclinical structures in nonautonomous systems: Nonautonomous chaos
-
Lerman L.M., Silnikov L.P., Homoclinical structures in nonautonomous systems: nonautonomous chaos. Chaos. 2:1992;447-454.
-
(1992)
Chaos
, vol.2
, pp. 447-454
-
-
Lerman, L.M.1
Silnikov, L.P.2
-
22
-
-
84966208299
-
Melnikov transforms, Bernoulli bundles, and almost periodic perturbations
-
Meyer K.R., Sell G.R., Melnikov transforms, Bernoulli bundles, and almost periodic perturbations. Trans. Am. Math. Soc. 314:1989;63-105.
-
(1989)
Trans. Am. Math. Soc.
, vol.314
, pp. 63-105
-
-
Meyer, K.R.1
Sell, G.R.2
-
23
-
-
0030595779
-
Stability of skew dynamical systems
-
Meyer K.R., Zhang X., Stability of skew dynamical systems. J. Diff. Eqs. 132:1996;66-86.
-
(1996)
J. Diff. Eqs.
, vol.132
, pp. 66-86
-
-
Meyer, K.R.1
Zhang, X.2
-
24
-
-
0033245794
-
Algorithms for constructing stable manifolds of stationary solutions
-
Moore G., Hubert E., Algorithms for constructing stable manifolds of stationary solutions. IMA J. Num. Anal. 19:1999;375-424.
-
(1999)
IMA J. Num. Anal.
, vol.19
, pp. 375-424
-
-
Moore, G.1
Hubert, E.2
-
27
-
-
0004161838
-
Numerical recipes in fortran 77
-
Cambridge University Press, Cambridge
-
W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in Fortran 77, The Art of Scientific Computing, 2nd ed., Cambridge University Press, Cambridge, 1999.
-
(1999)
The Art of Scientific Computing, 2nd Ed.
-
-
Press, W.H.1
Teukolsky, S.A.2
Vetterling, W.T.3
Flannery, B.P.4
-
28
-
-
0022581584
-
Chaotic solutions of systems with almost periodic forcing
-
Scheurle J., Chaotic solutions of systems with almost periodic forcing. Z. Angew. Math. Phys. 37:1986;12-26.
-
(1986)
Z. Angew. Math. Phys.
, vol.37
, pp. 12-26
-
-
Scheurle, J.1
-
30
-
-
0037138006
-
Normal forms for nonautonomous differential equations
-
Siegmund S., Normal forms for nonautonomous differential equations. J. Diff. Eq. 178:2002;541-573.
-
(2002)
J. Diff. Eq.
, vol.178
, pp. 541-573
-
-
Siegmund, S.1
-
31
-
-
0003053628
-
On the analytical and numerical approximation of invariant manifolds
-
D. Benest, C. Froeschlé (Eds.)
-
C. Simó, On the analytical and numerical approximation of invariant manifolds, in: D. Benest, C. Froeschlé (Eds.), Les Méthodes Modernes de la Mécanique Céleste, Goutelas, 1989, p. 285.
-
(1989)
Les Méthodes Modernes de la Mécanique Céleste, Goutelas
, pp. 285
-
-
Simó, C.1
-
32
-
-
0000328697
-
Transversal homoclinic points and hyperbolic sets for non-autonomous maps. I
-
Stoffer D., Transversal homoclinic points and hyperbolic sets for non-autonomous maps. I. J. Appl. Math. Phys. (ZAMP). 39:1988;518-549.
-
(1988)
J. Appl. Math. Phys. (ZAMP)
, vol.39
, pp. 518-549
-
-
Stoffer, D.1
-
33
-
-
0000328696
-
Transversal homoclinic points and hyperbolic sets for non-autonomous maps. II
-
Stoffer D., Transversal homoclinic points and hyperbolic sets for non-autonomous maps. II. J. Appl. Math. Phys. (ZAMP). 39:1988;783-812.
-
(1988)
J. Appl. Math. Phys. (ZAMP)
, vol.39
, pp. 783-812
-
-
Stoffer, D.1
-
34
-
-
0033245875
-
Chaos in the dynamics generated by sequences of maps, with applications to chaotic advection in flows with aperiodic time dependence
-
Wiggins S., Chaos in the dynamics generated by sequences of maps, with applications to chaotic advection in flows with aperiodic time dependence. Z. Angew. Math. Phys. 50:1999;585-616.
-
(1999)
Z. Angew. Math. Phys.
, vol.50
, pp. 585-616
-
-
Wiggins, S.1
-
35
-
-
0001731171
-
A generalized integral manifold theorem
-
Yi Y., A generalized integral manifold theorem. J. Diff. Eq. 102:1993;153-187
-
(1993)
J. Diff. Eq.
, vol.102
, pp. 153-187
-
-
Yi, Y.1
-
36
-
-
0012904946
-
Stability of integral manifold and orbital attraction of quasi-periodic motion
-
Yi Y., Stability of integral manifold and orbital attraction of quasi-periodic motion. J. Diff. Eq. 103:1993;278-322.
-
(1993)
J. Diff. Eq.
, vol.103
, pp. 278-322
-
-
Yi, Y.1
|