-
3
-
-
0001755071
-
AUTO, a program for the automatic bifurcation analysis of autonomous systems
-
Doedel E J 1981 AUTO, a program for the automatic bifurcation analysis of autonomous systems Congr. Numer. 30 265-384
-
(1981)
Congr. Numer.
, vol.30
, pp. 265-384
-
-
Doedel, E.J.1
-
4
-
-
0003487030
-
-
Doedel E J, Champneys A R, Fairgrieve T F, Kuznetsov Yu A, Sandstede B and Wang X J 1997 AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations http://cmvl.cs.concordia.ca/auto/
-
(1997)
AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations
-
-
Doedel, E.J.1
Champneys, A.R.2
Fairgrieve, T.F.3
Kuznetsov, Yu.A.4
Sandstede, B.5
Wang, X.J.6
-
5
-
-
0038194270
-
-
Doedel E J, Paffenroth R C, Champneys A R, Fairgrieve T F, Kuznetsov Yu A, Oldeman B E, Sandstede B and Wang X J 2000 AUTO2000: Continuation and Bifurcation Software for Ordinary Differential Equations available via http://cmvl.cs.concordia.ca/auto/
-
(2000)
AUTO2000: Continuation and Bifurcation Software for Ordinary Differential Equations
-
-
Doedel, E.J.1
Paffenroth, R.C.2
Champneys, A.R.3
Fairgrieve, T.F.4
Kuznetsov, Yu.A.5
Oldeman, B.E.6
Sandstede, B.7
Wang, X.J.8
-
7
-
-
0000540018
-
Periodic orbit analysis of the Lorenz attractor
-
Eckhardt B and Ott G 1994 Periodic orbit analysis of the Lorenz attractor Z. Phys. B 93 259-66
-
(1994)
Z. Phys.
, vol.93
, Issue.2
, pp. 259-266
-
-
Eckhardt, B.1
Ott, G.2
-
8
-
-
33644887198
-
Computing one-dimensional global manifolds of Poincaré maps by continuation
-
England J P, Krauskopf B and Osinga H M 2005 Computing one-dimensional global manifolds of Poincaré maps by continuation SIAM J. Appl. Dyn. Syst. 4 1008-41
-
(2005)
SIAM J. Appl. Dyn. Syst.
, vol.4
, Issue.4
, pp. 1008-1041
-
-
England, J.P.1
Krauskopf, B.2
Osinga, H.M.3
-
9
-
-
33846116510
-
Computing two-dimensional global invariant manifolds in slow-fast systems
-
England J P, Krauskopf B and Osinga H M 2007 Computing two-dimensional global invariant manifolds in slow-fast systems Int. J. Bifurc. Chaos 17 at press
-
(2007)
Int. J. Bifurc. Chaos
, vol.17
-
-
England, J.P.1
Krauskopf, B.2
Osinga, H.M.3
-
10
-
-
0000889029
-
Characterization of the Lorenz attractor by unstable periodic orbits
-
Franceschini V, Gilberti C and Zheng Z 1993 Characterization of the Lorenz attractor by unstable periodic orbits Nonlinearity 6 251-8
-
(1993)
Nonlinearity
, vol.6
, Issue.2
, pp. 251-258
-
-
Franceschini, V.1
Gilberti, C.2
Zheng, Z.3
-
13
-
-
0021437639
-
Local and global behavior near homoclinic orbits
-
Glendinning P and Sparrow C 1984 Local and global behavior near homoclinic orbits J. Stat. Phys. 35 645-96
-
(1984)
J. Stat. Phys.
, vol.35
, Issue.5-6
, pp. 645-696
-
-
Glendinning, P.1
Sparrow, C.2
-
15
-
-
51649168546
-
Structural stability of Lorenz attractors
-
Guckenheimer J and Williams R 1979 Structural stability of Lorenz attractors Publ. Math. IHES 50 59-72
-
(1979)
Publ. Math. IHES
, vol.50
, pp. 59-72
-
-
Guckenheimer, J.1
Williams, R.2
-
16
-
-
0000995023
-
Resonant homoclinic flip bifurcations
-
Homburg A J and Krauskopf B 2000 Resonant homoclinic flip bifurcations J. Dyn. Diff. Eqns 12 807-50
-
(2000)
J. Dyn. Diff. Eqns
, vol.12
, Issue.4
, pp. 807-850
-
-
Homburg, A.J.1
Krauskopf, B.2
-
17
-
-
0002822757
-
Preturbulence, a regime observed in a fluid flow model of Lorenz
-
Kaplan J L and Yorke J A 1979 Preturbulence, a regime observed in a fluid flow model of Lorenz Commun. Math. Phys. 67 93-108
-
(1979)
Commun. Math. Phys.
, vol.67
, Issue.2
, pp. 93-108
-
-
Kaplan, J.L.1
Yorke, J.A.2
-
18
-
-
0033196117
-
Two-dimensional global manifolds of vector fields
-
Krauskopf B and Osinga H M 1999 Two-dimensional global manifolds of vector fields Chaos 9 768-74
-
(1999)
Chaos
, vol.9
, Issue.3
, pp. 768-774
-
-
Krauskopf, B.1
Osinga, H.M.2
-
19
-
-
0348091154
-
Computing geodesic level sets on global (un)stable manifolds of vector fields
-
Krauskopf B and Osinga H M 2003 Computing geodesic level sets on global (un)stable manifolds of vector fields SIAM J. Appl. Dyn. Syst. 4 546-69
-
(2003)
SIAM J. Appl. Dyn. Syst.
, vol.2
, Issue.4
, pp. 546-569
-
-
Krauskopf, B.1
Osinga, H.M.2
-
20
-
-
0347931873
-
The Lorenz manifold as a collection of geodesic level sets
-
Krauskopf B and Osinga H M 2004 The Lorenz manifold as a collection of geodesic level sets Nonlinearity 17 C1-C6
-
(2004)
Nonlinearity
, vol.17
, Issue.1
-
-
Krauskopf, B.1
Osinga, H.M.2
-
21
-
-
14644389832
-
A survey of methods for computing (un)stable manifolds of vector fields
-
Krauskopf B, Osinga H M, Doedel E J, Henderson M E, Guckenheimer J, Vladimirsky A, Dellnitz M and Junge O 2005 A survey of methods for computing (un)stable manifolds of vector fields Int. J. Bifurc. Chaos 15 763-91
-
(2005)
Int. J. Bifurc. Chaos
, vol.15
, Issue.3
, pp. 763-791
-
-
Krauskopf, B.1
Osinga, H.M.2
Doedel, E.J.3
Henderson, M.E.4
Guckenheimer, J.5
Vladimirsky, A.6
Dellnitz, M.7
Junge, O.8
-
22
-
-
0000241853
-
Deterministic nonperiodic flows
-
Lorenz E N 1963 Deterministic nonperiodic flows J. Atmos. Sci. 20 130-41
-
(1963)
J. Atmos. Sci.
, vol.20
, Issue.2
, pp. 130-141
-
-
Lorenz, E.N.1
-
24
-
-
0346280077
-
Homoclinic branch switching: A numerical implementation of Lin's method
-
Oldeman B E, Champneys A R and Krauskopf B 2003 Homoclinic branch switching: a numerical implementation of Lin's method Int. J. Bifurc. Chaos 13 2977-99
-
(2003)
Int. J. Bifurc. Chaos
, vol.13
, Issue.10
, pp. 2977-2999
-
-
Oldeman, B.E.1
Champneys, A.R.2
Krauskopf, B.3
-
25
-
-
0036793373
-
Visualizing the structure of chaos in the Lorenz system
-
Osinga H M and Krauskopf B 2002 Visualizing the structure of chaos in the Lorenz system Comput. Graph. 26 815-23
-
(2002)
Comput. Graph.
, vol.26
, Issue.5
, pp. 815-823
-
-
Osinga, H.M.1
Krauskopf, B.2
-
28
-
-
21144455517
-
Intertwining invariant manifolds and Lorenz attractor
-
Perelló C 1979 Intertwining invariant manifolds and Lorenz attractor Global Theory of Dynamical Systems, Proc. Int. Conf. (Northwestern University, Evanston, IL, 1979) (Lecture Notes in Mathematics vol 819) (Berlin: Springer) pp 375-8
-
(1979)
Global Theory of Dynamical Systems, Proc. Int. Conf.
, pp. 375-378
-
-
Perelló, C.1
-
29
-
-
84971184328
-
The topological classification of Lorenz attractors
-
Rand D 1978 The topological classification of Lorenz attractors Math. Proc. Camb. Phil. Soc. 83 451-60
-
(1978)
Math. Proc. Camb. Phil. Soc.
, vol.83
, pp. 451-460
-
-
Rand, D.1
-
30
-
-
0018480597
-
Periodic solutions and bifurcation structure at high R in the Lorenz model
-
Robbins K 1979 Periodic solutions and bifurcation structure at high R in the Lorenz model SIAM J. Appl. Math. 36 457-72
-
(1979)
SIAM J. Appl. Math.
, vol.36
, Issue.3
, pp. 457-472
-
-
Robbins, K.1
-
33
-
-
0034259697
-
What's new on Lorenz strange attractors?
-
Viana M 2000 What's new on Lorenz strange attractors? Math. Intelligencer 22 6-19
-
(2000)
Math. Intelligencer
, vol.22
, pp. 6-19
-
-
Viana, M.1
-
34
-
-
0242308797
-
Symbolic dynamics and periodic orbits if the Lorenz attractor
-
Viswanath D 2003 Symbolic dynamics and periodic orbits if the Lorenz attractor Nonlinearity 16 1035-56
-
(2003)
Nonlinearity
, vol.16
, Issue.3
, pp. 1035-1056
-
-
Viswanath, D.1
-
35
-
-
51249180360
-
The structure of Lorenz attractors
-
Williams R F 1979 The structure of Lorenz attractors Publ. Math. IHES 50 101-52
-
(1979)
Publ. Math. IHES
, vol.50
, pp. 101-152
-
-
Williams, R.F.1
-
36
-
-
0032397631
-
The universal templates of Ghrist
-
Williams R F 1998 The universal templates of Ghrist Bull. AMS 35 145-56
-
(1998)
Bull. AMS
, vol.35
, Issue.2
, pp. 145-156
-
-
Williams, R.F.1
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