-
1
-
-
0033544737
-
Bifurcation of homoclinic orbits to a saddle-focus in reversible systems with SO(2)-symmetry
-
A. Afendikov and A. Mielke, Bifurcation of homoclinic orbits to a saddle-focus in reversible systems with SO(2)-symmetry, J. Diff. Equ., 159 (1999) 370-402.
-
(1999)
J. Diff. Equ.
, vol.159
, pp. 370-402
-
-
Afendikov, A.1
Mielke, A.2
-
2
-
-
0035530955
-
Multi-pulse solutions to the Navier-Stokes problem between parallel plates
-
A. Afendikov and A. Mielke, Multi-pulse solutions to the Navier-Stokes problem between parallel plates, Z. Angew. Math. Phys., 52 (2001), 79-100.
-
(2001)
Z. Angew. Math. Phys.
, vol.52
, pp. 79-100
-
-
Afendikov, A.1
Mielke, A.2
-
3
-
-
0010868994
-
On attainable transitions from MorseSmale systems to systems with infinitely many periodic motions
-
V. Afraimovich and L. P. Shilnikov, On attainable transitions from MorseSmale systems to systems with infinitely many periodic motions, Math. USSR-Izv., 8 (1974), 1235-1270.
-
(1974)
Math. USSR-Izv.
, vol.8
, pp. 1235-1270
-
-
Afraimovich, V.1
Shilnikov, L.P.2
-
4
-
-
0034215748
-
Topological properties of linearly coupled expanding map lattices
-
V. Afraimovich and B. Fernandez, Topological properties of linearly coupled expanding map lattices, Nonlinearity, 13 (2000), 973-993.
-
(2000)
Nonlinearity
, vol.13
, pp. 973-993
-
-
Afraimovich, V.1
Fernandez, B.2
-
5
-
-
0035334501
-
Pulsating Solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach
-
N. Akhmediev, J. Soto-Crespo and G. Town, Pulsating Solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach, Phys. Rev. E, 63 (2001), 056602-1-056602-13.
-
(2001)
Phys. Rev. E
, vol.63
, pp. 566021-5660213
-
-
Akhmediev, N.1
Soto-Crespo, J.2
Town, G.3
-
6
-
-
0022026598
-
Asymptotic chaos
-
A. Arneodo, P. H. Coullet, E. A. Spiegel and C. Tresser, Asymptotic chaos, Physica D, 14 (1985), 327-347.
-
(1985)
Physica D
, vol.14
, pp. 327-347
-
-
Arneodo, A.1
Coullet, P.H.2
Spiegel, E.A.3
Tresser, C.4
-
8
-
-
18144386948
-
Computational study of turbulent laminar patterns in Couette flow
-
D. Barkley and L. Tuckerman, Computational study of turbulent laminar patterns in Couette flow, Phys. Rev. Lett., 94 (2005), 14502.
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 14502
-
-
Barkley, D.1
Tuckerman, L.2
-
9
-
-
0037018006
-
Three-dimensional magnetohydrodynamic convectons
-
S. Blanchflower and N. Weiss, Three-dimensional magnetohydrodynamic convectons, Phys. Lett. A, 294 (2002), 297-303.
-
(2002)
Phys. Lett. A
, vol.294
, pp. 297-303
-
-
Blanchflower, S.1
Weiss, N.2
-
10
-
-
0001163022
-
Spacetime chaos in coupled map lattices
-
L. A. Bunimovich and Ya. G. Sinai, Spacetime chaos in coupled map lattices, Nonlinearity, 1 (1988), 491-516.
-
(1988)
Nonlinearity
, vol.1
, pp. 491-516
-
-
Bunimovich, L.A.1
Sinai, Y.G.2
-
11
-
-
27944448709
-
On systems with separatrix contour containing two saddle-foci
-
V. V. Bykov, On systems with separatrix contour containing two saddle-foci, J. Math. Sci., 95 (1999), 2513-2522.
-
(1999)
J. Math. Sci.
, vol.95
, pp. 2513-2522
-
-
Bykov, V.V.1
-
12
-
-
0242312061
-
(MR1769565) Orbit structure in a neighbourhood of a separatrix cycle containing two saddle-foci
-
V. V. Bykov, (MR1769565) Orbit structure in a neighbourhood of a separatrix cycle containing two saddle-foci, Amer. Math. Soc. Transl., 200 (2000), 87-97.
-
(2000)
Amer. Math. Soc. Transl.
, vol.200
, pp. 87-97
-
-
Bykov, V.V.1
-
13
-
-
0033130277
-
The definition and measurement of the topological entropy per unit volume in parabolic PDEs
-
P. Collet and J.-P. Eckmann, The definition and measurement of the topological entropy per unit volume in parabolic PDEs, Nonlinearity, 12 (1999), 451-473.
-
(1999)
Nonlinearity
, vol.12
, pp. 451-473
-
-
Collet, P.1
Eckmann, J.-P.2
-
14
-
-
0001356311
-
Persistence and smoothness of invariant manifolds for flows
-
N. Fenichel, Persistence and smoothness of invariant manifolds for flows, Indiana Uni. Math. J., 21 (1971-72), 193-226.
-
(1971)
Indiana Uni. Math. J.
, vol.21
, pp. 193-226
-
-
Fenichel, N.1
-
15
-
-
45949115034
-
Center manifolds and contractions on a scale of Banach spaces
-
S. van Gils and A. Vanderbauwhede, Center manifolds and contractions on a scale of Banach spaces, J. Funct. Anal., 72 (1987), 209-224.
-
(1987)
J. Funct. Anal.
, Issue.72
, pp. 209-224
-
-
Van Gils, S.1
Vanderbauwhede, A.2
-
16
-
-
0001441740
-
Invariant manifolds
-
Springer-Verlag
-
M. W. Hirsch, C. C. Pugh and M. Shub, "Invariant Manifolds," Lecture Notes in Math., 583, Springer-Verlag, 1977.
-
(1977)
Lecture Notes in Math.
, vol.583
-
-
Hirsch, M.W.1
Pugh, C.C.2
Shub, M.3
-
19
-
-
0002348145
-
Stability of bright solitary-wave solutions to perturbed nonlinear Schrodinger equations
-
T. Kapitula and B. Sandstede, Stability of bright solitary-wave solutions to perturbed nonlinear Schrodinger equations, Physica D, 124 (1998), 58-103.
-
(1998)
Physica D
, vol.124
, pp. 58-103
-
-
Kapitula, T.1
Sandstede, B.2
-
20
-
-
0000624821
-
ε-entropy and ε-capacity of sets in functional space
-
A. N. Kolmogorov and V. M. Tihomirov, ε-entropy and ε-capacity of sets in functional space, Amer. Math. Soc. Transl., 17 (1961), 277-364.
-
(1961)
Amer. Math. Soc. Transl.
, vol.17
, pp. 277-364
-
-
Kolmogorov, A.N.1
Tihomirov, V.M.2
-
21
-
-
0000507179
-
Persistent propagation of concerntration waves in dissipative media far from thermal equilibrium
-
Y. Kuramoto and T. Tsuzuki, Persistent propagation of concerntration waves in dissipative media far from thermal equilibrium, Prof. Theor. Phys., 55 (1976), 356-369.
-
(1976)
Prof. Theor. Phys.
, vol.55
, pp. 356-369
-
-
Kuramoto, Y.1
Tsuzuki, T.2
-
22
-
-
66149165363
-
Dynamical systems, temporal vs. spatio-temporal chaos, and climate
-
of Pitman Res. Notes Math. Ser., Longman, Harlow
-
P. Manneville, Dynamical systems, temporal vs. spatio-temporal chaos, and climate, In Nonlinear Dynamics and Pattern Formation in the Natural Environment (Noordwijkerhout, 1994), 335 of Pitman Res. Notes Math. Ser., Longman, Harlow, (1995), 168-187.
-
(1995)
Nonlinear Dynamics and Pattern Formation in the Natural Environment (Noordwijkerhout, 1994)
, vol.335
, pp. 168-187
-
-
Manneville, P.1
-
23
-
-
62749128568
-
Spatiotemporal perspective on the decay of turbulence in wallbounded flows
-
P. Manneville, Spatiotemporal perspective on the decay of turbulence in wallbounded flows, Phys Rev E, 79 (2009).
-
(2009)
Phys Rev e
, vol.79
-
-
Manneville, P.1
-
24
-
-
3643098187
-
A reduction principle for nonautonomous systems in infinite-dimensional spaces
-
A. Mielke, A reduction principle for nonautonomous systems in infinite-dimensional spaces, J. Differential Equations, 65 (1986), 68-88.
-
(1986)
J. Differential Equations
, vol.65
, pp. 68-88
-
-
Mielke, A.1
-
25
-
-
0002801503
-
Reduction of quasilinear elliptic equations in cylindrical domains with applications
-
A. Mielke, Reduction of quasilinear elliptic equations in cylindrical domains with applications, Math. Meth. Appl. Sci., 10 (1988), 51-66.
-
(1988)
Math. Meth. Appl. Sci.
, vol.10
, pp. 51-66
-
-
Mielke, A.1
-
26
-
-
67649370945
-
The Ginzburg-Landau equation in its role as a modulation equation
-
B. Fiedler (edr), Elsevier
-
A. Mielke, The Ginzburg-Landau equation in its role as a modulation equation, In "Handbook of Dynamical Systems," Vol. 2, B. Fiedler (edr), Elsevier 2002, 759-834.
-
(2002)
Handbook of Dynamical Systems
, vol.2
, pp. 759-834
-
-
Mielke, A.1
-
28
-
-
77949651541
-
Multi-Pulse evolution and space-time chaos in dissipative systems
-
S. Zelik and A. Mielke, "Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems," Mem. Amer. Math. Soc., 198 (2009).
-
(2009)
Mem. Amer. Math. Soc.
, vol.198
-
-
Zelik, S.1
Mielke, A.2
-
29
-
-
63149126374
-
Attractors for dissipative partial differential equations in bounded and unbounded domains
-
Handb. Differ. Equ., Elsevier/North-Holland, Amsterdam
-
A. Miranville and S. Zelik, Attractors for dissipative partial differential equations in bounded and unbounded domains, In Handbook of differential equations: evolutionary equations. Vol. IV, Handb. Differ. Equ., Elsevier/North-Holland, Amsterdam, 2008, 103-200.
-
(2008)
Handbook of Differential Equations: Evolutionary Equations.
, vol.4
, pp. 103-200
-
-
Miranville, A.1
Zelik, S.2
-
30
-
-
38249030551
-
Space-time chaos in the system of weakly interacting hyperbolic systems
-
Y. B. Pesin and Y. G. Sinai, Space-time chaos in the system of weakly interacting hyperbolic systems, J. Geom. Phys., 5 (1988), 483-492.
-
(1988)
J. Geom. Phys.
, vol.5
, pp. 483-492
-
-
Pesin, Y.B.1
Sinai, Y.G.2
-
31
-
-
0000492905
-
Space-time chaos in chains of weakly interacting hyperbolic mappings
-
Amer. Math. Soc., Providence, RI
-
Y. B. Pesin and Y. G. Sinai, Space-time chaos in chains of weakly interacting hyperbolic mappings, In Adv. Soviet Math., 3, Dynamical systems and statistical mechanics (Moscow, 1991), 165-198, Amer. Math. Soc., Providence, RI, 1991.
-
(1991)
Adv. Soviet Math., 3, Dynamical Systems and Statistical Mechanics (Moscow, 1991)
, pp. 165-198
-
-
Pesin, Y.B.1
Sinai, Y.G.2
-
32
-
-
11744373488
-
Front motion, metastability and subscritical bifurcations in hydrodynamics
-
Y. Pomeau, Front motion, metastability and subscritical bifurcations in hydrodynamics, Physica D, 23 (1986), 3-11.
-
(1986)
Physica D
, vol.23
, pp. 3-11
-
-
Pomeau, Y.1
-
33
-
-
4243262725
-
Phase synchronization of chaotic oscillators
-
M. G. Rosenblum, A. S. Pikovsky and J. Kurths, Phase synchronization of chaotic oscillators, Phys. Rev. Lett., 76 (1996), 1804-1807.
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 1804-1807
-
-
Rosenblum, M.G.1
Pikovsky, A.S.2
Kurths, J.3
-
34
-
-
67649363651
-
Stability of travelling waves
-
" B. Fiedler (edr), Elsevier
-
B. Sandstede, Stability of travelling waves, In "Handbook of Dynamical Systems II," B. Fiedler (edr), Elsevier 2002, 983-1055.
-
(2002)
Handbook of Dynamical Systems II
, pp. 983-1055
-
-
Sandstede, B.1
-
35
-
-
0001234956
-
A case of the existence of a denumerable set of periodic motions
-
L. P. Shilnikov, A case of the existence of a denumerable set of periodic motions, Sov. Math. Dokl., 6 (1965), 163-166.
-
(1965)
Sov. Math. Dokl.
, vol.6
, pp. 163-166
-
-
Shilnikov, L.P.1
-
36
-
-
84956230541
-
A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type
-
L. P. Shilnikov, A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type, Math. USSR Sbornik, 10 (1970), 91-102.
-
(1970)
Math. USSR Sbornik
, vol.10
, pp. 91-102
-
-
Shilnikov, L.P.1
-
37
-
-
21344497876
-
Normal forms and Lorenz attractors
-
A. Shilnikov, L. Shilnikov and D. Turaev, Normal forms and Lorenz attractors, Bifurcation and Chaos, 3 (1993), 1123-1129.
-
(1993)
Bifurcation and Chaos
, vol.3
, pp. 1123-1129
-
-
Shilnikov, A.1
Shilnikov, L.2
Turaev, D.3
-
38
-
-
0242430629
-
Methods of qualitative theory in nonlinear dynamics. part i
-
World Scientific Publishing Co., Inc., River Edge, NJ
-
L. P. Shilnikov, A. L. Shilnikov, D. Turaev and L. Chua, "Methods of Qualitative Theory in Nonlinear Dynamics. Part I," World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises, 5. World Scientific Publishing Co., Inc., River Edge, NJ, 1998.
-
(1998)
World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises
, vol.5
-
-
Shilnikov, L.P.1
Shilnikov, A.L.2
Turaev, D.3
Chua, L.4
-
39
-
-
0032220873
-
An example of a wild strange attractor
-
D. Turaev and L. P. Shilnikov, An example of a wild strange attractor, Sbornik Math., 189 (1988), 291-314.
-
(1988)
Sbornik Math.
, vol.189
, pp. 291-314
-
-
Turaev, D.1
Shilnikov, L.P.2
-
41
-
-
0035334502
-
Stable bound states of one-dimensional autosoli- Tons in a bistable laser
-
A. Vladimirov, G. Khodova and N. Rozanov, Stable bound states of one-dimensional autosoli- tons in a bistable laser, Phys. Rev. E, 63 (2001).
-
(2001)
Phys. Rev. E
, vol.63
-
-
Vladimirov, A.1
Khodova, G.2
Rozanov, N.3
-
42
-
-
0037256259
-
Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity
-
S. Zelik, Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity, Comm. Pure Appl. Math., 56 (2003), 584-637.
-
(2003)
Comm. Pure Appl. Math.
, vol.56
, pp. 584-637
-
-
Zelik, S.1
-
44
-
-
33845443296
-
Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains
-
S. Zelik, Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains, J. Dynam. Differential Equations, 19 (2007), 1-74.
-
(2007)
J. Dynam. Differential Equations
, vol.19
, pp. 1-74
-
-
Zelik, S.1
|