-
1
-
-
0003478133
-
-
Springer, New York
-
Abraham, R. H., Marsden, J. E., and Ratiu, T. (1988). Manifolds, Tensor Analysis, and Applications, Springer, New York.
-
(1988)
Manifolds, Tensor Analysis, and Applications
-
-
Abraham, R.H.1
Marsden, J.E.2
Ratiu, T.3
-
2
-
-
0004034319
-
-
Springer, Berlin, Heidelberg, New York
-
Arnold, L. (1998). Random Dynamical Systems, Springer, Berlin, Heidelberg, New York.
-
(1998)
Random Dynamical Systems
-
-
Arnold, L.1
-
3
-
-
33744749876
-
A reduction principle for nonautonomous differential equations
-
Aulbach, B. (1982). A reduction principle for nonautonomous differential equations. Arch. Math. 39, 217-232.
-
(1982)
Arch. Math.
, vol.39
, pp. 217-232
-
-
Aulbach, B.1
-
4
-
-
0001038494
-
Integral manifolds for carathéodory type differential equations in banach spaces
-
Aulbach, B., and Colonius, F. (eds.), World Scientific, Singapore
-
Aulbach, B., and Wanner, T. (1996). Integral manifolds for carathéodory type differential equations in banach spaces. In Aulbach, B., and Colonius, F. (eds.), Six Lectures on Dynamical Systems, World Scientific, Singapore, 45-119.
-
(1996)
Six Lectures on Dynamical Systems
, pp. 45-119
-
-
Aulbach, B.1
Wanner, T.2
-
5
-
-
18144397824
-
Approximation of attractors of nonautonomous dynamical systems
-
Aulbach, B., Rasmussen, M., and Siegmund, S. (2005). Approximation of attractors of nonautonomous dynamical systems. Discrete Contin. Dyn. Syst. (Series B) 5(2), 215-238.
-
(2005)
Discrete Contin. Dyn. Syst. (Series B)
, vol.5
, Issue.2
, pp. 215-238
-
-
Aulbach, B.1
Rasmussen, M.2
Siegmund, S.3
-
6
-
-
33744774658
-
Invariant manifolds as pullback attractors of nonautonomous differential equations
-
Aulbach, B., Rasmussen, M., and Siegmund, S. (2006). Invariant manifolds as pullback attractors of nonautonomous differential equations. Discrete Contin. Dyn. Syst. 15(2), 579-596.
-
(2006)
Discrete Contin. Dyn. Syst.
, vol.15
, Issue.2
, pp. 579-596
-
-
Aulbach, B.1
Rasmussen, M.2
Siegmund, S.3
-
7
-
-
0039165649
-
Numerical Taylor expansion of invariant manifolds in large dynamical systems
-
Beyn, W-J., and Kleß, W (1998). Numerical Taylor expansion of invariant manifolds in large dynamical systems. Numer. Math. 80, 1-38.
-
(1998)
Numer. Math.
, vol.80
, pp. 1-38
-
-
Beyn, W.-J.1
Kleß, W.2
-
8
-
-
0003289290
-
Applications of centre manifold theory
-
Springer-Verlag, Berlin
-
Carr, J. (1981). Applications of centre manifold theory, Appl. Math. Sci. Vol. 35, Springer-Verlag, Berlin.
-
(1981)
Appl. Math. Sci.
, vol.35
-
-
Carr, J.1
-
9
-
-
0345275284
-
Pullback attractors in dissipative nonautonomous differential equations under discretization
-
Cheban, D. N., Kloeden, P. E., and Schmalfuß, B. (2001). Pullback attractors in dissipative nonautonomous differential equations under discretization. J. Dyn. Differ. Equations 13(1), 185-213.
-
(2001)
J. Dyn. Differ. Equations
, vol.13
, Issue.1
, pp. 185-213
-
-
Cheban, D.N.1
Kloeden, P.E.2
Schmalfuß, B.3
-
10
-
-
0040657364
-
Center manifolds for infinite-dimensional nonautonomous differential equations
-
Chicone, C., and Latushkin, Y. (1997). Center manifolds for infinite-dimensional nonautonomous differential equations. J. Diff. Eq. 141(2), 356-399.
-
(1997)
J. Diff. Eq.
, vol.141
, Issue.2
, pp. 356-399
-
-
Chicone, C.1
Latushkin, Y.2
-
13
-
-
0003805267
-
-
Lecture Notes in Mathematics, Springer, Berlin
-
Coppel, W. A. (1978). Dichotomies in Stability Theory. Lecture Notes in Mathematics. Vol. 629, Springer, Berlin.
-
(1978)
Dichotomies in Stability Theory
, vol.629
-
-
Coppel, W.A.1
-
14
-
-
0003254098
-
Stability of solutions of differential equations inbanach space
-
AMS, Providence, RI
-
Daleckii, J. L., and Krein, M. G. (1974). Stability of solutions of differential equations inbanach space. In Translations of Mathematical Monographs, Vol. 43, AMS, Providence, RI.
-
(1974)
Translations of Mathematical Monographs
, vol.43
-
-
Daleckii, J.L.1
Krein, M.G.2
-
15
-
-
0031537466
-
A subdivision algorithm for the computation of unstable manifolds and global attractors
-
Dellnitz, M., and Hohmann, A. (1997). A subdivision algorithm for the computation of unstable manifolds and global attractors. Numer. Math. 75, 293-317.
-
(1997)
Numer. Math.
, vol.75
, pp. 293-317
-
-
Dellnitz, M.1
Hohmann, A.2
-
16
-
-
11144262674
-
Taylor xpansions for invariant manifolds
-
Eirola, T., and von Pfaler, J. (2004). Taylor xpansions for invariant manifolds. Numer. Math. 99, 25-46.
-
(2004)
Numer. Math.
, vol.99
, pp. 25-46
-
-
Eirola, T.1
Von Pfaler, J.2
-
17
-
-
0001870021
-
Random attractors for the 3-D stochastic Navier-Stokes equation with multiplicative white noise
-
Flandoli, F., and Schmalfuß, B. (1996). Random attractors for the 3-D stochastic Navier-Stokes equation with multiplicative white noise. Stoch. Stoch. Rep. 59, 21-45.
-
(1996)
Stoch. Stoch. Rep.
, vol.59
, pp. 21-45
-
-
Flandoli, F.1
Schmalfuß, B.2
-
18
-
-
0041530581
-
On the numerical algebraic approximations of global attractors
-
Foias, C., and Jolly, M. S. (1995). On the numerical algebraic approximations of global attractors. Nonlinearity 8(3), 295-319.
-
(1995)
Nonlinearity
, vol.8
, Issue.3
, pp. 295-319
-
-
Foias, C.1
Jolly, M.S.2
-
19
-
-
84963178984
-
A numerical method to calculate center manifolds of ODE's
-
Fuming, M., and Küpper, T. (1994). A numerical method to calculate center manifolds of ODE's. Appl. Anal. 54, 1-15.
-
(1994)
Appl. Anal.
, vol.54
, pp. 1-15
-
-
Fuming, M.1
Küpper, T.2
-
20
-
-
4243157495
-
A fast method for approximating invariant manifolds
-
Guckenheimer, J., and Vladimirsky, A. (2004). A fast method for approximating invariant manifolds. SIAM J. Appl. Dyna. Syst. 3(3), 232-260.
-
(2004)
SIAM J. Appl. Dyna. Syst.
, vol.3
, Issue.3
, pp. 232-260
-
-
Guckenheimer, J.1
Vladimirsky, A.2
-
22
-
-
0001389356
-
On the Computation of invariant manifolds of fixed points
-
Homburg, A. J., Osinga, H. M., and Vegter, G. (1995). On the Computation of invariant manifolds of fixed points. J. Appl. Math. Phys. (ZAMP) 46(2), 171-187.
-
(1995)
J. Appl. Math. Phys. (ZAMP)
, vol.46
, Issue.2
, pp. 171-187
-
-
Homburg, A.J.1
Osinga, H.M.2
Vegter, G.3
-
23
-
-
0040312933
-
Hopf bifurcation from nonperiodic solutions of differential equations. I. Linear Theory
-
Johnson, R. A. (1989). Hopf bifurcation from nonperiodic solutions of differential equations. I. Linear Theory. J. Dyn. Diff. Eq. 1, 179-198.
-
(1989)
J. Dyn. Diff. Eq.
, vol.1
, pp. 179-198
-
-
Johnson, R.A.1
-
24
-
-
0037260425
-
A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles
-
Johnson, R. A., and Mantellini, F. (2003). A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles. Discrete Contin. Dyn. Syst. (Series A) 9, 209-224.
-
(2003)
Discrete Contin. Dyn. Syst. (Series A)
, vol.9
, pp. 209-224
-
-
Johnson, R.A.1
Mantellini, F.2
-
25
-
-
0012905443
-
Hopf bifurcation from non-periodic solutions of differential equations. II
-
Johnson, R. A., and Yi, Y. (1994). Hopf bifurcation from non-periodic solutions of differential equations. II. J. Differ. Equations 107, 310-340.
-
(1994)
J. Differ. Equations
, vol.107
, pp. 310-340
-
-
Johnson, R.A.1
Yi, Y.2
-
26
-
-
26444443493
-
Computation of non-smooth local centre manifolds
-
Jolly, M. S., and Rosa, R. (2005). Computation of non-smooth local centre manifolds. IMA J. Numer. Anal. 25, 698-725.
-
(2005)
IMA J. Numer. Anal.
, vol.25
, pp. 698-725
-
-
Jolly, M.S.1
Rosa, R.2
-
30
-
-
0042279255
-
Stability, instability and bifurcation phenomena in non-autonomous differential equations
-
Langa, J. A., Robinson, J. C., and Suárez, A. (2002). Stability, instability and bifurcation phenomena in non-autonomous differential equations. Nonlinearity 15, 887-903.
-
(2002)
Nonlinearity
, vol.15
, pp. 887-903
-
-
Langa, J.A.1
Robinson, J.C.2
Suárez, A.3
-
31
-
-
30344440739
-
Bifurcations in non-autonomous scalar equations
-
Langa, J. A., Robinson, J. C., and Suárez, A. (2006). Bifurcations in non-autonomous scalar equations. J. Diff. Eq. 221(1), 1-35.
-
(2006)
J. Diff. Eq.
, vol.221
, Issue.1
, pp. 1-35
-
-
Langa, J.A.1
Robinson, J.C.2
Suárez, A.3
-
32
-
-
0000258719
-
The reduction principle in the theory of stability of motion
-
Pliss, V. A. (1964). The reduction principle in the theory of stability of motion. Sov. Math. Dokl. 5, 247-250.
-
(1964)
Sov. Math. Dokl.
, vol.5
, pp. 247-250
-
-
Pliss, V.A.1
-
33
-
-
12244272462
-
Taylor approximation of invariant fiber bundles for nonautonomous difference equations
-
Pötzsche, C., and Rasmussen, M. (2005). Taylor approximation of invariant fiber bundles for nonautonomous difference equations. Nonlinear Anal. (TMA) 60, 1303-1330.
-
(2005)
Nonlinear Anal. (TMA)
, vol.60
, pp. 1303-1330
-
-
Pötzsche, C.1
Rasmussen, M.2
-
35
-
-
12244294027
-
Formulas for higher-order finite expansions of composite maps
-
Gauß, C. F., Rassias, G. M. (eds.), Singapore
-
Rybakowski, K. P. (1991). Formulas for higher-order finite expansions of composite maps. In Gauß, C. F., Rassias, G. M. (eds.), The Mathematical Heritage of World Scientific, Singapore, 652-669.
-
(1991)
The Mathematical Heritage of World Scientific
, pp. 652-669
-
-
Rybakowski, K.P.1
-
36
-
-
0000048830
-
The structure of a flow in the vicinity of an almost periodic motion
-
Sell, G. R. (1978). The structure of a flow in the vicinity of an almost periodic motion. J. Diff. Eq. 27(3), 359-393.
-
(1978)
J. Diff. Eq.
, vol.27
, Issue.3
, pp. 359-393
-
-
Sell, G.R.1
-
37
-
-
0018691508
-
Bifurcation of higher-dimensional tori
-
Sell, G. R. (1979). Bifurcation of higher-dimensional tori. Arch. Rational Mech. Anal. 69(3), 199-230.
-
(1979)
Arch. Rational Mech. Anal.
, vol.69
, Issue.3
, pp. 199-230
-
-
Sell, G.R.1
-
38
-
-
0000935977
-
Smooth linearization near a fixed point
-
Sell, G. R. (1985). Smooth linearization near a fixed point. Amer. J. Math. 107(5), 1035-1091.
-
(1985)
Amer. J. Math.
, vol.107
, Issue.5
, pp. 1035-1091
-
-
Sell, G.R.1
-
40
-
-
0037138006
-
Normal forms for nonautonomous differential equations
-
Siegmund, S. (2002). Normal forms for nonautonomous differential equations. J. Diff. Eq. 178(2), 541-573.
-
(2002)
J. Diff. Eq.
, vol.178
, Issue.2
, pp. 541-573
-
-
Siegmund, S.1
-
41
-
-
0002876557
-
Centre manifolds, normal forms and elementary bifurcations
-
Dynamics Reported Wiley, Chichester
-
Vanderbauwhede, A. (1989). Centre manifolds, normal forms and elementary bifurcations. Dynamics Reported. In Dynamic Report Series Dynamic Systems Applies, Vol. 2, Wiley, Chichester, 89-169.
-
(1989)
Dynamic Report Series Dynamic Systems Applies
, vol.2
, pp. 89-169
-
-
Vanderbauwhede, A.1
|