-
1
-
-
0001278064
-
Dynamical systems
-
Springer-Verlag, New York
-
L. ARNOLD, C. JONES, K. MISCHAIKOW, AND G. RAUGEL, Dynamical Systems, Lecture Notes in Math. 1609, Springer-Verlag, New York, 1995.
-
(1995)
Lecture Notes in Math.
, vol.1609
-
-
Arnold, L.1
Jones, C.2
Mischaikow, K.3
Raugel, G.4
-
2
-
-
0003262604
-
Isolated invariant sets and the morse index
-
AMS, Providence, RI
-
C. CONLEY, Isolated Invariant Sets and the Morse Index, CBMS Reg. Conf. Ser. Math. 38, AMS, Providence, RI, 1978.
-
(1978)
CBMS Reg. Conf. Ser. Math.
, vol.38
-
-
Conley, C.1
-
3
-
-
33644894026
-
Towards a rigorous numerical study of the Kot-Schaffer model
-
S. DAY, Towards a rigorous numerical study of the Kot-Schaffer model, Dynam. Systems Appl., 12 (2003), pp. 87-97.
-
(2003)
Dynam. Systems Appl.
, vol.12
, pp. 87-97
-
-
Day, S.1
-
4
-
-
3042678480
-
A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems
-
S. DAY, O. JUNGE, AND K. MISCHAIKOW, A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems, SIAM J. Appl. Dyn. Syst., 3 (2004), pp. 117-160.
-
(2004)
SIAM J. Appl. Dyn. Syst.
, vol.3
, pp. 117-160
-
-
Day, S.1
Junge, O.2
Mischaikow, K.3
-
5
-
-
84966252851
-
The connection matrix theory for Morse decompositions
-
R. FRANZOSA, The connection matrix theory for Morse decompositions, Trans. Amer. Math. Soc., 311 (1989), pp. 561-592.
-
(1989)
Trans. Amer. Math. Soc.
, vol.311
, pp. 561-592
-
-
Franzosa, R.1
-
6
-
-
15944408628
-
Conley index based numerical verification method for global bifurcations of the stationary solutions to the Swift-Hohenberg equation
-
Y. HIRAOKA, T. OGAWA, AND K. MISCHAIKOW, Conley index based numerical verification method for global bifurcations of the stationary solutions to the Swift-Hohenberg equation, Trans. Jpn. Soc. Ind. Appl. Math., 13 (2003), pp. 191-211.
-
(2003)
Trans. Jpn. Soc. Ind. Appl. Math.
, vol.13
, pp. 191-211
-
-
Hiraoka, Y.1
Ogawa, T.2
Mischaikow, K.3
-
8
-
-
3142686292
-
Lectures on numerical methods in bifurcation problems
-
Springer-Verlag, Berlin
-
H. B. KELLER, Lectures on Numerical Methods in Bifurcation Problems, Tat a Inst. Rind. Res. Lectures on Math, and Phys. 79, Springer-Verlag, Berlin, 1987.
-
(1987)
Tat A Inst. Rind. Res. Lectures on Math, and Phys.
, vol.79
-
-
Keller, H.B.1
-
9
-
-
0004084795
-
-
Springer-Verlag, New York
-
R. KLATTE, U. KULISCH, A. WIETHOFF, C. LAWO, AND M. RAUCH, C-XSC: A C++ Class Library for Extended Scientific Computing, Springer-Verlag, New York, 1993.
-
(1993)
C-XSC: A C++ Class Library for Extended Scientific Computing
-
-
Klatte, R.1
Kulisch, U.2
Wiethoff, A.3
Lawo, C.4
Rauch, M.5
-
10
-
-
21844502887
-
Global asymptotic dynamics of gradient-like bistable equations
-
K. MISCHAIKOW, Global asymptotic dynamics of gradient-like bistable equations, SIAM J. Math. Anal., 26 (1995), pp. 1199-1224.
-
(1995)
SIAM J. Math. Anal.
, vol.26
, pp. 1199-1224
-
-
Mischaikow, K.1
-
11
-
-
85095836568
-
Topological techniques for efficient rigorous computations in dynamics
-
K. MISCHAIKOW, Topological techniques for efficient rigorous computations in dynamics, Acta Numer., 11 (2002), pp. 435-477.
-
(2002)
Acta Numer.
, vol.11
, pp. 435-477
-
-
Mischaikow, K.1
-
12
-
-
67649370946
-
Conley index
-
North-Holland, Amsterdam
-
K. MISCHAIKOW AND M. MROZEK, Conley index, in Handbook of Dynamical Systems, Vol. 2, North-Holland, Amsterdam, 2002, pp. 393-460.
-
(2002)
Handbook of Dynamical Systems
, vol.2
, pp. 393-460
-
-
Mischaikow, K.1
Mrozek, M.2
-
13
-
-
0001035921
-
Some global dynamical properties of the Kuramoto-Sivashinsky equations: Nonlinear stability and attractors
-
B. NICOLAENKO, B. SCHEURER, AND R. TEMAM, Some global dynamical properties of the Kuramoto-Sivashinsky equations: Nonlinear stability and attractors, Phys. D, 16 (1985), pp. 155-183.
-
(1985)
Phys. D
, vol.16
, pp. 155-183
-
-
Nicolaenko, B.1
Scheurer, B.2
Temam, R.3
-
14
-
-
0001000133
-
Dynamical systems, shape theory and the Conley index
-
J. ROBBIN AND D. SALAMON, Dynamical systems, shape theory and the Conley index, Ergodic Theory Dynam. Systems, 8 (1988), pp. 375-393.
-
(1988)
Ergodic Theory Dynam. Systems
, vol.8
, pp. 375-393
-
-
Robbin, J.1
Salamon, D.2
-
15
-
-
0000049185
-
Hydrodynamic fluctuations at the convective instability
-
J. B. SWIFT AND P. C. HOHENBERG, Hydrodynamic fluctuations at the convective instability, Phys. Rev. A (3), 15 (1977), pp. 319-328.
-
(1977)
Phys. Rev. A (3)
, vol.15
, pp. 319-328
-
-
Swift, J.B.1
Hohenberg, P.C.2
-
16
-
-
0001703350
-
A numerical verification method for solutions of boundary value problems with local uniqueness by Banach's fixed-point theorem
-
N. YAMAMOTO, A numerical verification method for solutions of boundary value problems with local uniqueness by Banach's fixed-point theorem, SIAM J. Numer. Anal., 35 (1998), pp. 2004-2013.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2004-2013
-
-
Yamamoto, N.1
-
17
-
-
0344578972
-
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation
-
P. ZGLICZYŃSKI AND K. MISCHAIKOW, Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation, Found. Comput. Math., 1 (2001), pp. 255-288.
-
(2001)
Found. Comput. Math.
, vol.1
, pp. 255-288
-
-
Zgliczyński, P.1
Mischaikow, K.2
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