-
1
-
-
0001128796
-
Numerical Continuation Methods: An Introduction
-
Springer. Berlin
-
E. L. ALLGOWER AND K. GEORG, Numerical Continuation Methods: An Introduction, Springer Ser. Comput. Math., 13. Springer. Berlin, 1990.
-
(1990)
Springer Ser. Comput. Math.
, vol.13
-
-
Allgower, E.L.1
Georg, K.2
-
2
-
-
0002433039
-
Global bifurcations and their numerical computations
-
D. Roose, A. Spence. B. De Dier. eds., Kluwer Academic Publishers, Dordrecht
-
W. J. BEYN. Global bifurcations and their numerical computations, in Continuation and Bifurcation; Numerical Techniques and Applications, D. Roose, A. Spence. B. De Dier. eds., Kluwer Academic Publishers, Dordrecht, 1990, pp. 169-181.
-
(1990)
Continuation and Bifurcation; Numerical Techniques and Applications
, pp. 169-181
-
-
Beyn, W.J.1
-
3
-
-
0002836643
-
The effect of discretization on homoclinic orbits
-
Bifurcation: Analysis, Algorithms, Applications, T. Küpper, R. Seydel, H. Troger, eds., Birkhäuser, Stuttgart
-
W. J. BEYN, The effect of discretization on homoclinic orbits, in Bifurcation: Analysis, Algorithms, Applications, T. Küpper, R. Seydel, H. Troger, eds., ISNM 79, Birkhäuser, Stuttgart, 1987, pp. 1-8.
-
(1987)
ISNM
, vol.79
, pp. 1-8
-
-
Beyn, W.J.1
-
4
-
-
0001340513
-
The numerical computation of connecting orbits in dynamical systems
-
W. J. BEYN, The numerical computation of connecting orbits in dynamical systems, IMA J. Numer. Anal., 9 (1990), pp. 379-405.
-
(1990)
IMA J. Numer. Anal.
, vol.9
, pp. 379-405
-
-
Beyn, W.J.1
-
5
-
-
0001080429
-
Dichotomies for linear difference equations
-
C. V. COFFMAN AND J. J. SCHÄFFER, Dichotomies for linear difference equations, Math. Ann., 172 (1967), pp. 139-166.
-
(1967)
Math. Ann.
, vol.172
, pp. 139-166
-
-
Coffman, C.V.1
Schäffer, J.J.2
-
6
-
-
0041581689
-
Periodic shadowing
-
Chaotic Numerics, P. E. Kloeden, K. J. Palmer, eds., Amererican Mathematical Society, Providence, RI
-
B. A. COOMES, H. KOÇAK, AND K. J. PALMER, Periodic shadowing, in Chaotic Numerics, P. E. Kloeden, K. J. Palmer, eds., Contemp. Math. 172, Amererican Mathematical Society, Providence, RI, 1994, pp. 115-130.
-
(1994)
Contemp. Math.
, vol.172
, pp. 115-130
-
-
Coomes, B.A.1
Koçak, H.2
Palmer, K.J.3
-
7
-
-
0028479087
-
Shadowing orbits of ordinary differential equations
-
B. A. COOMES, H. KOÇAK, AND K. J. PALMER, Shadowing orbits of ordinary differential equations, J. Comput. Appl. Math., 52 (1994), pp. 35-43.
-
(1994)
J. Comput. Appl. Math.
, vol.52
, pp. 35-43
-
-
Coomes, B.A.1
Koçak, H.2
Palmer, K.J.3
-
8
-
-
0003509599
-
-
Addison-Wesley, Redwood City, CA
-
R. L. DEVANEY, An Introduction to Chaotic Dynamical Systems, 2nd ed., Addison-Wesley, Redwood City, CA, 1989.
-
(1989)
An Introduction to Chaotic Dynamical Systems, 2nd Ed.
-
-
Devaney, R.L.1
-
9
-
-
0001058067
-
Numerical computation of heteroclinic orbits
-
E. J. DOEDEL AND M. J. FRIEDMAN. Numerical computation of heteroclinic orbits. J. Comput. Appl. Math.. 26 (1989), pp. 159-170.
-
(1989)
J. Comput. Appl. Math..
, vol.26
, pp. 159-170
-
-
Doedel, E.J.1
Friedman, M.J.2
-
10
-
-
0029691221
-
Discretization of homoclinic orbits, rapid forcing and "invisible" chaos
-
B. FIEDLER AND J. SCHEURLE, Discretization of homoclinic orbits, rapid forcing and "invisible" chaos, Mem. Amer. Math. Soc., 570 (1996).
-
(1996)
Mem. Amer. Math. Soc.
, vol.570
-
-
Fiedler, B.1
Scheurle, J.2
-
11
-
-
0026170304
-
Numerical computation of invariant manifolds connecting fixed pointa
-
M. J. FRIEDMAN AND E. J. DOEDEL, Numerical computation of invariant manifolds connecting fixed pointa, SIAM J. Numer. Anal., 28 (1991), pp. 789-808.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 789-808
-
-
Friedman, M.J.1
Doedel, E.J.2
-
12
-
-
0004236492
-
-
The Johns Hopkins University Press, Baltimore, MD
-
G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, 2nd ed., The Johns Hopkins University Press, Baltimore, MD, 1990.
-
(1990)
Matrix Computations, 2nd Ed.
-
-
Golub, G.H.1
Van Loan, C.F.2
-
13
-
-
0003235528
-
Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields
-
Springer, New York
-
J. GUCKENHEIMER AND PH. HOLMES, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields, Appl. Math. Sci. 42, Springer, New York, 1990.
-
(1990)
Appl. Math. Sci.
, vol.42
-
-
Guckenheimer, J.1
Holmes, P.H.2
-
14
-
-
0003275217
-
Dynamics and Bifurcation
-
Springer, New York
-
J. HALE AND H. KOÇAK, Dynamics and Bifurcation, Texts Appl. Math. 3, Springer, New York, 1991.
-
(1991)
Texts Appl. Math.
, vol.3
-
-
Hale, J.1
Koçak, H.2
-
15
-
-
0003304963
-
Geometric Theory of Semilinear Parabolic Equations
-
Springer, Berlin
-
D. HENRY, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Math, 840, Springer, Berlin, 1981.
-
(1981)
Lecture Notes in Math
, vol.840
-
-
Henry, D.1
-
16
-
-
0004171442
-
Smooth Dynamical Systems
-
Academic Press, London
-
M. C. IRWIN, Smooth Dynamical Systems, Pure Appl. Math. 84, Academic Press, London, 1980.
-
(1980)
Pure Appl. Math.
, vol.84
-
-
Irwin, M.C.1
-
17
-
-
0041352920
-
Functional Analysis in Normed Spaces
-
Pergamon Press, Oxford
-
L. V. KANTOROVIC AND G. P. AKILOV, Functional Analysis in Normed Spaces, International Series of Monographs in Pure and Applied Mathematics, 46, Pergamon Press, Oxford, 1964.
-
(1964)
International Series of Monographs in Pure and Applied Mathematics
, vol.46
-
-
Kantorovic, L.V.1
Akilov, G.P.2
-
19
-
-
0001029040
-
Rigorous chaos verification in discrete dynamical systems
-
A. NEUMAIER AND T. RAGE, Rigorous chaos verification in discrete dynamical systems, Phys. D, 67 (1993), pp. 327-346.
-
(1993)
Phys. D
, vol.67
, pp. 327-346
-
-
Neumaier, A.1
Rage, T.2
-
21
-
-
48549112859
-
Exponential dichotomies and transversal homoclinic points
-
K. J. PALMER, Exponential dichotomies and transversal homoclinic points, J. Differential Equations, 55 (1984), pp. 225-256.
-
(1984)
J. Differential Equations
, vol.55
, pp. 225-256
-
-
Palmer, K.J.1
-
22
-
-
0001261668
-
Exponential dichotomies, the shadowing lemma and transversal homoclinic points
-
U. Kirchgraber, H.-O. Walther, eds., Teubner, Stuttgart
-
K. J. PALMER, Exponential dichotomies, the shadowing lemma and transversal homoclinic points, in Dynamics Reported I, U. Kirchgraber, H.-O. Walther, eds., Teubner, Stuttgart, 1988, pp. 265-306.
-
(1988)
Dynamics Reported
, vol.1
, pp. 265-306
-
-
Palmer, K.J.1
-
23
-
-
0000063614
-
On a Poincaré-Birkhoff problem
-
L. P. ŠIL'NIKOV, On a Poincaré-Birkhoff problem, Math. USSR-Sb., 3 (1967), pp. 353-371.
-
(1967)
Math. USSR-Sb.
, vol.3
, pp. 353-371
-
-
ŠiL'Nikov, L.P.1
-
24
-
-
84968514104
-
Differentiable dynamical systems
-
S. SMALE, Differentiable dynamical systems, Bull. Amer. Math. Soc., 73 (1967). pp. 747-817.
-
(1967)
Bull. Amer. Math. Soc.
, vol.73
, pp. 747-817
-
-
Smale, S.1
|