-
3
-
-
0035923492
-
Lyapunov's second method for random dynamical systems
-
L. Arnold, B. Schmalfuss, Lyapunov's second method for random dynamical systems. J. Differ. Equat. 177, 235-265 (2001)
-
(2001)
J. Differ. Equat
, vol.177
, pp. 235-265
-
-
Arnold, L.1
Schmalfuss, B.2
-
5
-
-
0008888335
-
The fundamental existence theorem on invariant fiber bundles
-
B. Aulbach, The fundamental existence theorem on invariant fiber bundles. J. Differ. Equat. Appl. 3, 501-537 (1998)
-
(1998)
J. Differ. Equat. Appl
, vol.3
, pp. 501-537
-
-
Aulbach, B.1
-
6
-
-
8644219736
-
The dichotomy spectrum for noninvertible systems of linear difference equations
-
B. Aulbach, S. Siegmund, The dichotomy spectrum for noninvertible systems of linear difference equations. J. Differ. Equat. Appl. 7(6), 895-913 (2001)
-
(2001)
J. Differ. Equat. Appl
, vol.7
, Issue.6
, pp. 895-913
-
-
Aulbach, B.1
Siegmund, S.2
-
7
-
-
0037910374
-
Invariant foliations and decoupling of non-autonomous difference equations
-
B. Aulbach, T. Wanner, Invariant foliations and decoupling of non-autonomous difference equations. J. Differ. Equat. Appl. 9(5), 459-472 (2003)
-
(2003)
J. Differ. Equat. Appl
, vol.9
, Issue.5
, pp. 459-472
-
-
Aulbach, B.1
Wanner, T.2
-
8
-
-
46449128923
-
Topological simplification of nonautonomous difference equations
-
B. Aulbach, T. Wanner, Topological simplification of nonautonomous difference equations. J. Differ. Equat. Appl. 12(3-4), 283-296 (2006)
-
(2006)
J. Differ. Equat. Appl
, vol.12
, Issue.3-4
, pp. 283-296
-
-
Aulbach, B.1
Wanner, T.2
-
9
-
-
0000997063
-
The numerical computation of homoclinic orbits for maps
-
W.-J. Beyn, J.-M. Kleinkauf, The numerical computation of homoclinic orbits for maps. SIAM J. Numer. Anal. 34(3), 1209-1236 (1997)
-
(1997)
SIAM J. Numer. Anal
, vol.34
, Issue.3
, pp. 1209-1236
-
-
Beyn, W.-J.1
Kleinkauf, J.-M.2
-
11
-
-
0038058212
-
The relationship between pullback, forwards and global attractors of nonautonomous dynamical systems
-
D. Cheban, P.E. Kloeden, B. Schmalfuß, The relationship between pullback, forwards and global attractors of nonautonomous dynamical systems. Nonlinear Dynam. Syst. Theor. 2(2), 9-28 (2002)
-
(2002)
Nonlinear Dynam. Syst. Theor
, vol.2
, Issue.2
, pp. 9-28
-
-
Cheban, D.1
Kloeden, P.E.2
Schmalfuß, B.3
-
12
-
-
0000271110
-
An invariance principle for compact processes
-
C. Dafermos, An invariance principle for compact processes. J. Differ. Equat. 9, 239-252 (1971)
-
(1971)
J. Differ. Equat
, vol.9
, pp. 239-252
-
-
Dafermos, C.1
-
15
-
-
34247273592
-
A model function for non-autonomous bifurcations of maps
-
T. Huls, A model function for non-autonomous bifurcations of maps. Discrete Contin. Dynam. Syst. Ser. B 7(2), 351-363 (2007)
-
(2007)
Discrete Contin. Dynam. Syst. Ser
, vol.B 7
, Issue.2
, pp. 351-363
-
-
Huls, T.1
-
16
-
-
27944439808
-
On the computation of invariant measures in random dynamical systems
-
P. Imkeller, P.E. Kloeden, On the computation of invariant measures in random dynamical systems. Stochast. Dynam. 3, 247-265 (2003)
-
(2003)
Stochast. Dynam
, vol.3
, pp. 247-265
-
-
Imkeller, P.1
Kloeden, P.E.2
-
19
-
-
0003081106
-
Asymptotic invariance and limit sets of general control systems
-
P.E. Kloeden, Asymptotic invariance and limit sets of general control systems. J. Differ. Equat. 19, 91-105 (1975)
-
(1975)
J. Differ. Equat
, vol.19
, pp. 91-105
-
-
Kloeden, P.E.1
-
20
-
-
0003081108
-
Eventual stability in general control systems
-
P.E. Kloeden, Eventual stability in general control systems. J. Differ. Equat. 19, 106-124 (1975)
-
(1975)
J. Differ. Equat
, vol.19
, pp. 106-124
-
-
Kloeden, P.E.1
-
21
-
-
0006803380
-
Lyapunov functions for cocycle attractors in nonautonomous difference equations
-
P.E. Kloeden, Lyapunov functions for cocycle attractors in nonautonomous difference equations. Izvetsiya Akad Nauk Rep Moldovia Mathematika 26, 32-42 (1998)
-
(1998)
Izvetsiya Akad Nauk Rep Moldovia Mathematika
, vol.26
, pp. 32-42
-
-
Kloeden, P.E.1
-
22
-
-
0345706905
-
A lyapunov function for pullback attractors of nonautonomous differential equations
-
P.E. Kloeden, A Lyapunov function for pullback attractors of nonautonomous differential equations. Electron. J. Differ. Equat. Conf. 05, 91-102 (2000)
-
(2000)
Electron. J. Differ. Equat. Conf
, vol.5
, pp. 91-102
-
-
Kloeden, P.E.1
-
23
-
-
0038229615
-
Pullback attractors in nonautonomous difference equations
-
P.E. Kloeden, Pullback attractors in nonautonomous difference equations. J. Differ. Equat. Appl. 6, 33-52 (2000)
-
(2000)
J. Differ. Equat. Appl
, vol.6
, pp. 33-52
-
-
Kloeden, P.E.1
-
24
-
-
27644572435
-
Pullback attractors of nonautonomous semidynamical systems
-
P.E. Kloeden, Pullback attractors of nonautonomous semidynamical systems. Stochast. Dynam. 3(1), 101-112 (2003)
-
(2003)
Stochast. Dynam
, vol.3
, Issue.1
, pp. 101-112
-
-
Kloeden, P.E.1
-
25
-
-
84862988782
-
-
American Mathematical Society, Providence
-
P.E. Kloeden, M. Rasmussen, in Nonautonomous Dynamical Systems. Mathematical Surveys and Monographs, vol. 176 (American Mathematical Society, Providence, 2011)
-
Nonautonomous Dynamical Systems. Mathematical Surveys and Monographs
, vol.176
, pp. 2011
-
-
Kloeden, P.E.1
Rasmussen, M.2
-
26
-
-
0007254737
-
Lyapunov functions and attractors under variable time-step discretization
-
P.E. Kloeden, B. Schmalfuß, Lyapunov functions and attractors under variable time-step discretization. Discrete Contin. Dynam. Syst. 2, 163-172 (1996)
-
(1996)
Discrete Contin. Dynam. Syst
, vol.2
, pp. 163-172
-
-
Kloeden, P.E.1
Schmalfuß, B.2
-
27
-
-
0001948206
-
Towards a theory of random numerical dynamics
-
ed. by H. Crauel, V.M. Gundlach ( Springer, Berllin
-
P.E. Kloeden, H. Keller, B. Schmalfuß, Towards a theory of random numerical dynamics, in Stochastic Dynamics, ed. by H. Crauel, V.M. Gundlach (Springer, Berllin, 1999), pp. 259-282
-
(1999)
Stochastic Dynamics
, pp. 259-282
-
-
Kloeden, P.E.1
Keller, H.2
Schmalfuß, B.3
-
28
-
-
84874858103
-
Asymptotic behaviour of random tridiagonal markov chains in biological applications
-
to appear)
-
P.E. Kloeden, V. Kozyakin, Asymptotic behaviour of random tridiagonal Markov chains in biological applications. Discrete Contin. Dynam. Syst. Series B (2013, to appear)
-
(2013)
Discrete Contin. Dynam. Syst. Series B
-
-
Kloeden, P.E.1
Kozyakin, V.2
-
33
-
-
12244312741
-
Stability of center fiber bundles for nonautonomous difference equations
-
ed. by S. Elaydi et al. Fields Institute Communications (AMS, Providence
-
C. Potzsche, Stability of center fiber bundles for nonautonomous difference equations, in Difference and Differential Equations, ed. by S. Elaydi et al. Fields Institute Communications, vol. 42 (AMS, Providence, 2004), pp. 295-304
-
(2004)
Difference and Differential Equations
, vol.42
, pp. 295-304
-
-
Potzsche, C.1
-
34
-
-
55549083568
-
Discrete inertial manifolds
-
C. Potzsche, Discrete inertial manifolds. Math. Nachr. 281(6), 847-878 (2008)
-
(2008)
Math. Nachr
, vol.281
, Issue.6
, pp. 847-878
-
-
Potzsche, C.1
-
35
-
-
70449348302
-
A note on the dichotomy spectrum
-
see also the Corrigendum
-
C. Potzsche, A note on the dichotomy spectrum. J. Differ. Equat. Appl. 15(10), 1021-1025 (2009), see also the Corrigendum (2011)
-
(2009)
J. Differ. Equat. Appl. 2011)
, vol.15
, Issue.10
, pp. 1021-1025
-
-
Potzsche, C.1
-
36
-
-
84859561581
-
Nonautonomous bifurcation of bounded solutions ii: A shovel bifurcation pattern
-
C. Potzsche, Nonautonomous bifurcation of bounded solutions II: A shovel bifurcation pattern. Discrete Contin. Dynam. Syst. Ser. A 31(3), 941-973 (2011)
-
(2011)
Discrete Contin. Dynam. Syst. Ser
, vol.A 31
, Issue.3
, pp. 941-973
-
-
Potzsche, C.1
-
37
-
-
70549103598
-
Robustness of hyperbolic solutions under parametric perturbations
-
C. Potzsche, Robustness of hyperbolic solutions under parametric perturbations. J. Differ. Equat. Appl. 15(8-9), 803-819 (2009)
-
(2009)
J. Differ. Equat. Appl
, vol.15
, Issue.8-9
, pp. 803-819
-
-
Potzsche, C.1
-
38
-
-
77956239761
-
Geometric theory of discrete nonautonomous dynamical systems
-
Springer, Berlin
-
C. Potzsche, Geometric Theory of Discrete Nonautonomous Dynamical Systems. Lecture Notes in Mathematics, vol. 2002 (Springer, Berlin, 2010)
-
Lecture Notes in Mathematics
, vol.2002
, pp. 2010
-
-
Potzsche, C.1
-
39
-
-
77956238507
-
Nonautonomous bifurcation of bounded solutions i: A lyapunov-schmidt approach
-
C. Potzsche, Nonautonomous bifurcation of bounded solutions I: A Lyapunov-Schmidt approach. Discrete Contin. Dynam. Syst. Ser. B 14(2), 739-776 (2010)
-
(2010)
Discrete Contin. Dynam. Syst. Ser
, vol.B 14
, Issue.2
, pp. 739-776
-
-
Potzsche, C.1
-
40
-
-
79952104625
-
Nonautonomous continuation of bounded solutions
-
C. Potzsche, Nonautonomous continuation of bounded solutions. Comm. Pure Appl. Anal. 10(3), 937-961 (2011)
-
(2011)
Comm. Pure Appl. Anal
, vol.10
, Issue.3
, pp. 937-961
-
-
Potzsche, C.1
-
41
-
-
12244272462
-
Taylor approximation of invariant fiber bundles for nonautonomous difference equations
-
C. Potzsche, M. Rasmussen, Taylor approximation of invariant fiber bundles for nonautonomous difference equations. Nonlinear Anal. (TMA) 60(7), 1303-1330 (2005)
-
(2005)
Nonlinear Anal. (TMA)
, vol.60
, Issue.7
, pp. 1303-1330
-
-
Potzsche, C.1
Rasmussen, M.2
-
43
-
-
34247278187
-
Towards a bifurcation theory for nonautonomous difference equation
-
M. Rasmussen, Towards a bifurcation theory for nonautonomous difference equation. J. Differ. Equat. Appl. 12(3-4), 297-312 (2006)
-
(2006)
J. Differ. Equat. Appl
, vol.12
, Issue.3-4
, pp. 297-312
-
-
Rasmussen, M.1
-
44
-
-
34547357299
-
Attractivity and bifurcation for nonautonomous dynamical systems
-
Springer, Berlin
-
M. Rasmussen, in Attractivity and Bifurcation for Nonautonomous Dynamical Systems. Lecture Notes in Mathematica, vol. 1907 (Springer, Berlin, 2007)
-
(2007)
Lecture Notes in Mathematica
, vol.1907
-
-
Rasmussen, M.1
-
45
-
-
33845949144
-
Nonautonomous bifurcation patterns for one-dimensional differential equations
-
M. Rasmussen, Nonautonomous bifurcation patterns for one-dimensional differential equations. J. Differ. Equat. 234, 267-288 (2007)
-
(2007)
J. Differ. Equat
, vol.234
, pp. 267-288
-
-
Rasmussen, M.1
-
46
-
-
77951200345
-
An alternative approach to sacker-sell spectral theory
-
M. Rasmussen, An alternative approach to Sacker-Sell spectral theory. J. Differ. Equat. Appl. 16(2-3), 227-242 (2010)
-
(2010)
J. Differ. Equat. Appl
, vol.16
, Issue.2-3
, pp. 227-242
-
-
Rasmussen, M.1
-
47
-
-
49349126301
-
A spectral theory for linear differential systems
-
R. Sacker, G. Sell, A spectral theory for linear differential systems. J. Differ. Equat. 27, 320-358 (1978)
-
(1978)
J. Differ. Equat
, vol.27
, pp. 320-358
-
-
Sacker, R.1
Sell, G.2
-
50
-
-
0037732774
-
Normal forms for nonautonomous difference equations
-
S. Siegmund, Normal forms for nonautonomous difference equations. Comput. Math. Appl. 45(6-9), 1059-1073 (2003)
-
(2003)
Comput. Math. Appl
, vol.45
, Issue.6-9
, pp. 1059-1073
-
-
Siegmund, S.1
-
52
-
-
84992437509
-
On the exponential dichotomy of linear difference equations
-
V.I. Tkachenko, On the exponential dichotomy of linear difference equations. Ukr. Math. J. 48(10), 1600-1608 (1996)
-
(1996)
Ukr. Math. J
, vol.48
, Issue.10
, pp. 1600-1608
-
-
Tkachenko, V.I.1
|