-
1
-
-
0002193960
-
On the bifurcation from heteroclinic cycles with a semi-hyperbolic equilibrium
-
Battelli F. On the bifurcation from heteroclinic cycles with a semi-hyperbolic equilibrium. Boll. Un. Mat. Ital. B. 8:1994;87-110.
-
(1994)
Boll. Un. Mat. Ital. B
, vol.8
, pp. 87-110
-
-
Battelli, F.1
-
5
-
-
0000598042
-
The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits
-
Chow S.-N., Deng B., Terman D. The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits. SIAM J. Math. Anal. 21:1990;179-204.
-
(1990)
SIAM J. Math. Anal.
, vol.21
, pp. 179-204
-
-
Chow, S.-N.1
Deng, B.2
Terman, D.3
-
6
-
-
84972533582
-
Bifurcation of a homoclinic orbit with a saddle-node equilibrium
-
Chow S.-N., Lin X.-B. Bifurcation of a homoclinic orbit with a saddle-node equilibrium. Differential Integral Equations. 3:1990;435-466.
-
(1990)
Differential Integral Equations
, vol.3
, pp. 435-466
-
-
Chow, S.-N.1
Lin, X.-B.2
-
7
-
-
0000958356
-
1-linearization, and homoclinic bifurcation
-
1-linearization, and homoclinic bifurcation. J. Differential Equations. 79:1989;189-231.
-
(1989)
J. Differential Equations
, vol.79
, pp. 189-231
-
-
Deng, B.1
-
8
-
-
0000625704
-
Exponential expansion with Šil'nikov's saddle-focus
-
Deng B. Exponential expansion with Šil'nikov's saddle-focus. J. Differential Equations. 82:1989;156-173.
-
(1989)
J. Differential Equations
, vol.82
, pp. 156-173
-
-
Deng, B.1
-
9
-
-
0000025015
-
Homoclinic bifurcations with nonhyperbolic equilibria
-
Deng B. Homoclinic bifurcations with nonhyperbolic equilibria. SIAM J. Math. Anal. 21:1990;693-720.
-
(1990)
SIAM J. Math. Anal.
, vol.21
, pp. 693-720
-
-
Deng, B.1
-
10
-
-
0000775150
-
The bifurcations of countable connections from a twisted heteroclinic loop
-
Deng B. The bifurcations of countable connections from a twisted heteroclinic loop. SIAM J. Math. Anal. 22:1991;653-679.
-
(1991)
SIAM J. Math. Anal.
, vol.22
, pp. 653-679
-
-
Deng, B.1
-
11
-
-
0040794010
-
Exponential expansion with principal eigenvalue
-
Deng B. Exponential expansion with principal eigenvalue. Int. J. Bif. Chaos. 6:1996;1161-1167.
-
(1996)
Int. J. Bif. Chaos
, vol.6
, pp. 1161-1167
-
-
Deng, B.1
-
12
-
-
0347108885
-
Strange attractors in saddle-node cycles: Prevalence and globality
-
Díaz L. J., Rocha J., Viana M. Strange attractors in saddle-node cycles: prevalence and globality. Invent. Math. 125:1996;37-74.
-
(1996)
Invent. Math.
, vol.125
, pp. 37-74
-
-
Díaz, L.J.1
Rocha, J.2
Viana, M.3
-
16
-
-
0030147357
-
Global Aspects of Homoclinic Bifurcations of Vector Fields
-
Amer. Math. Soc.
-
Homburg A. J. Global Aspects of Homoclinic Bifurcations of Vector Fields. Memoirs Amer. Math. Soc. 578:1996;Amer. Math. Soc.
-
(1996)
Memoirs Amer. Math. Soc.
, vol.578
-
-
Homburg, A.J.1
-
17
-
-
85037785266
-
Inclination-flips in the unfolding of a singular heteroclinic cycle, in
-
Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, (, E. J. Doedel and L. S. Tuckerman, Eds.) Springer-Verlag, to appear.
-
A. J. Homburg, Inclination-flips in the unfolding of a singular heteroclinic cycle, in, Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, (, E. J. Doedel and L. S. Tuckerman, Eds.), IMA Volumes in Mathematics and its Applications, Vol, 119, Springer-Verlag, to appear.
-
IMA Volumes in Mathematics and Its Applications
, vol.119
-
-
Homburg, A.J.1
-
18
-
-
0001559874
-
The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
-
Homburg A. J., Kokubu H., Krupa M. The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit. Ergodic Theory Dynam. Systems. 14:1994;667-693.
-
(1994)
Ergodic Theory Dynam. Systems
, vol.14
, pp. 667-693
-
-
Homburg, A.J.1
Kokubu, H.2
Krupa, M.3
-
21
-
-
84957312349
-
Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
-
Il'yashenko Y.S., Yakovenko S. Yu. Finitely-smooth normal forms of local families of diffeomorphisms and vector fields. Russian Math. Surveys. 46:1991;1-43.
-
(1991)
Russian Math. Surveys
, vol.46
, pp. 1-43
-
-
Il'yashenko, Y.S.1
Yakovenko, S.Yu.2
-
22
-
-
0001002402
-
Bifurcations to N-homoclinic orbits and N-periodic orbits in vector fields
-
Kisaka M., Kokubu H., Oka H. Bifurcations to N-homoclinic orbits and N-periodic orbits in vector fields. J. Dynam. Differential Equations. 5:1993;305-357.
-
(1993)
J. Dynam. Differential Equations
, vol.5
, pp. 305-357
-
-
Kisaka, M.1
Kokubu, H.2
Oka, H.3
-
23
-
-
0001580295
-
Supplement to homoclinic doubling bifurcation in vector fields
-
R. Bamon, R. Labarca, J. Lewowicz, & J. Palis. Longman
-
Kisaka M., Kokubu H., Oka H. Supplement to homoclinic doubling bifurcation in vector fields. Bamon R., Labarca R., Lewowicz J., Palis J. Dynamical Systems. 1993;92-116 Longman.
-
(1993)
Dynamical Systems
, pp. 92-116
-
-
Kisaka, M.1
Kokubu, H.2
Oka, H.3
-
24
-
-
0002822575
-
Homoclinic bifurcations with weakly expanding center
-
Lin X.-B. Homoclinic bifurcations with weakly expanding center. Dynam. Reported. 5:1996;99-189.
-
(1996)
Dynam. Reported
, vol.5
, pp. 99-189
-
-
Lin, X.-B.1
-
25
-
-
0000422050
-
On inclination-flip homoclinic orbit associated to a saddle-node singularity
-
Morales C. A. On inclination-flip homoclinic orbit associated to a saddle-node singularity. Bol. Soc. Brasil. Mat. 27:1996;145-160.
-
(1996)
Bol. Soc. Brasil. Mat.
, vol.27
, pp. 145-160
-
-
Morales, C.A.1
-
27
-
-
0030524098
-
Strange attractor in the unfolding of an inclination-flip homoclinic orbit
-
Naudot V. Strange attractor in the unfolding of an inclination-flip homoclinic orbit. Ergodic Theory Dynam. Systems. 16:1996;1071-1086.
-
(1996)
Ergodic Theory Dynam. Systems
, vol.16
, pp. 1071-1086
-
-
Naudot, V.1
-
28
-
-
79955579216
-
On systems with saddle-focus homoclinic curve
-
Ovsyannikov I. M., Shil'nikov L. P. On systems with saddle-focus homoclinic curve. Math. USSR Sb. 58:1987;557-574.
-
(1987)
Math. USSR Sb.
, vol.58
, pp. 557-574
-
-
Ovsyannikov, I.M.1
Shil'nikov, L.P.2
-
30
-
-
0030136341
-
On the complex bifurcation set for a system with simple dynamics
-
Shashkov M. V., Turaev D. V. On the complex bifurcation set for a system with simple dynamics. Internat. J. Bifur. Chaos. 6:1996;949-968.
-
(1996)
Internat. J. Bifur. Chaos
, vol.6
, pp. 949-968
-
-
Shashkov, M.V.1
Turaev, D.V.2
-
31
-
-
0000436083
-
On the generation of a periodic motion from a trajectory which leaves and re-enters a saddle-saddle state of equilibrium
-
Shil'nikov L. P. On the generation of a periodic motion from a trajectory which leaves and re-enters a saddle-saddle state of equilibrium. Soviet Math. Dokl. 7:1966;1155-1158.
-
(1966)
Soviet Math. Dokl.
, vol.7
, pp. 1155-1158
-
-
Shil'nikov, L.P.1
-
32
-
-
0000063614
-
On the Poincaré-Birkhoff problem
-
Shil'nikov L. P. On the Poincaré-Birkhoff problem. Math. USSR Sb. 3:1967;353-371.
-
(1967)
Math. USSR Sb.
, vol.3
, pp. 353-371
-
-
Shil'nikov, L.P.1
-
33
-
-
0001215210
-
On the generation of periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle type
-
Shil'nikov L. P. On the generation of periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle type. Math. USSR Sb. 6:1968;427-437.
-
(1968)
Math. USSR Sb.
, vol.6
, pp. 427-437
-
-
Shil'nikov, L.P.1
-
34
-
-
0000851724
-
On a new type of bifurcation of multi-dimensional dynamical systems
-
Shil'nikov L. P. On a new type of bifurcation of multi-dimensional dynamical systems. Soviet Math. Dokl. 10:1969;1368-1371.
-
(1969)
Soviet Math. Dokl.
, vol.10
, pp. 1368-1371
-
-
Shil'nikov, L.P.1
-
35
-
-
0030136340
-
On dimension of non-local bifurcational problems
-
Turaev D. V. On dimension of non-local bifurcational problems. Internat. J. Bifur. Chaos. 6:1996;919-948.
-
(1996)
Internat. J. Bifur. Chaos
, vol.6
, pp. 919-948
-
-
Turaev, D.V.1
-
36
-
-
0000980419
-
On bifurcations of the homoclinic "figure eight" for a saddle with a negative saddle value
-
Turaev D. V., Shil'nikov L. P. On bifurcations of the homoclinic "figure eight" for a saddle with a negative saddle value. Sov. Math. Dokl. 34:1987;397-401.
-
(1987)
Sov. Math. Dokl.
, vol.34
, pp. 397-401
-
-
Turaev, D.V.1
Shil'nikov, L.P.2
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