-
2
-
-
46149129941
-
A quasiperiodic route to chaos in a near-integrable PDE
-
A. R. Bishop, M. G. Forest, D. W. McLaughlin, and E. A. Overman II. A Quasiperiodic Route to Chaos in a Near-Integrable PDE. Physica D, 23:293-328, 1986.
-
(1986)
Physica D
, vol.23
, pp. 293-328
-
-
Bishop, A.R.1
Forest, M.G.2
McLaughlin, D.W.3
Overman E.A. II4
-
3
-
-
34250084341
-
Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations
-
J. Bourgain. Fourier Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations. Geom. Funct. Anal., 3, No. 2:107-156, 209-262, 1993.
-
(1993)
Geom. Funct. Anal.
, vol.3
, Issue.2
, pp. 107-156
-
-
Bourgain, J.1
-
4
-
-
21844511925
-
Periodic nonlinear Schroedinger eqution and invariant measures
-
J. Bourgain. Periodic Nonlinear Schroedinger Eqution and Invariant Measures. Commun. Math. Phys., 166:1-26, 1994.
-
(1994)
Commun. Math. Phys.
, vol.166
, pp. 1-26
-
-
Bourgain, J.1
-
5
-
-
0000625704
-
Exponential expansion with Silnikov's saddle-focus
-
B. Deng. Exponential Expansion with Silnikov's Saddle-Focus. J. Diff. Eq., 82:156-173, 1989.
-
(1989)
J. Diff. Eq.
, vol.82
, pp. 156-173
-
-
Deng, B.1
-
6
-
-
0001630378
-
On Silnikov's homoclinic-saddle-focus theorem
-
B. Deng. On Silnikov's Homoclinic-Saddle-Focus Theorem. J. Diff. Eq., 102:305-329, 1993.
-
(1993)
J. Diff. Eq.
, vol.102
, pp. 305-329
-
-
Deng, B.1
-
8
-
-
0019666924
-
A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
-
P. Holmes and J. Marsden. A Partial Differential Equation with Infinitely Many Periodic Orbits: Chaotic Oscillations of a Forced Beam. Arch. Ratl. Mech. Anal., 76:135-166, 1981.
-
(1981)
Arch. Ratl. Mech. Anal.
, vol.76
, pp. 135-166
-
-
Holmes, P.1
Marsden, J.2
-
9
-
-
0001582057
-
Horseshoes in perturbations of hamiltonian systems with two degrees of freedom
-
P. Holmes and J. Marsden. Horseshoes in Perturbations of Hamiltonian Systems with Two Degrees of Freedom. Commun. Math. Phys., 82:523-544, 1982.
-
(1982)
Commun. Math. Phys.
, vol.82
, pp. 523-544
-
-
Holmes, P.1
Marsden, J.2
-
10
-
-
84995270426
-
A strange family of three-dimensional vector fields near a degenerate singularity
-
P. J. Holmes. A Strange Family of Three-Dimensional Vector Fields Near a Degenerate Singularity. J. Diff. Eq., 37:382-403, 1980.
-
(1980)
J. Diff. Eq.
, vol.37
, pp. 382-403
-
-
Holmes, P.J.1
-
11
-
-
0030506927
-
Persistent homoclinic orbits for a perturbed nonlinear schrödinger equation
-
Y. Li, D. McLaughlin, J. Shatah, and S. Wiggins. Persistent Homoclinic Orbits for a Perturbed Nonlinear Schrödinger equation. Commun. Pure Appl. Math., XLIX:1175-1255, 1996.
-
(1996)
Commun. Pure Appl. Math.
, vol.49
, pp. 1175-1255
-
-
Li, Y.1
McLaughlin, D.2
Shatah, J.3
Wiggins, S.4
-
12
-
-
34249767027
-
Morse and Melnikov functions for NLS Pdes
-
Y. Li and D. W. McLaughlin. Morse and Melnikov Functions for NLS Pdes. Commun. Math. Phys., 162:175-214, 1994.
-
(1994)
Commun. Math. Phys.
, vol.162
, pp. 175-214
-
-
Li, Y.1
McLaughlin, D.W.2
-
13
-
-
0000038726
-
Homoclinic orbits and chaos in discretized perturbed NLS system. Part I. Homoclinic orbits
-
Y. Li and D. W. McLaughlin. Homoclinic Orbits and Chaos in Discretized Perturbed NLS System. Part I. Homoclinic Orbits. J. Nonlin. Sci., 7:211-269, 1997.
-
(1997)
J. Nonlin. Sci.
, vol.7
, pp. 211-269
-
-
Li, Y.1
McLaughlin, D.W.2
-
14
-
-
0041716979
-
Homoclinic orbits and chaos in discretized perturbed NLS system. Part II. Symbolic dynamics
-
Y. Li and S. Wiggins. Homoclinic Orbits and Chaos in Discretized Perturbed NLS System. Part II. Symbolic Dynamics. J. Nonlin. Sci., 7:315-370, 1997.
-
(1997)
J. Nonlin. Sci.
, vol.7
, pp. 315-370
-
-
Li, Y.1
Wiggins, S.2
-
15
-
-
0000038096
-
Homoclinic orbits in a four-dimensional model of a perturbed NLS equation: A geometric singular perturbation study
-
Springer-Verlag, New York
-
D. W. McLaughlin, E. A. Overman II, S. Wiggins, and C. Xiong. Homoclinic Orbits in a Four-Dimensional Model of a Perturbed NLS Equation: A Geometric Singular Perturbation Study. Dynamics Reported 5, Springer-Verlag, New York, 1996.
-
(1996)
Dynamics Reported 5
, vol.5
-
-
McLaughlin, D.W.1
Overman E.A. II2
Wiggins, S.3
Xiong, A.C.4
-
16
-
-
0002063004
-
Whiskered tori for integrable pdes and chaotic behavior in near integrable Pdes
-
D. W. McLaughlin and E. A. Overman. Whiskered Tori for Integrable Pdes and Chaotic Behavior in Near Integrable Pdes. Sun. Appl. Math. 1, 1993.
-
(1993)
Sun. Appl. Math. 1
, vol.1
-
-
McLaughlin, D.W.1
Overman, E.A.2
-
17
-
-
85034143656
-
Chaotic and homoclinic behavior for numerical discretizations of the nonlinear schrödinger equation
-
AMS, Providence
-
D. W. McLaughlin and C. M. Schober. Chaotic and Homoclinic Behavior for Numerical Discretizations of the Nonlinear Schrödinger Equation. Contemp. Math. 172. AMS, Providence, 1994.
-
(1994)
Contemp. Math. 172
, vol.172
-
-
McLaughlin, D.W.1
Schober, C.M.2
-
18
-
-
0003292012
-
Stable and random motions in dynamical systems
-
Princeton University Press
-
J. Moser. Stable and Random Motions in Dynamical Systems. Annals of Mathematics Studies, No. 77, Princeton University Press, 1973.
-
(1973)
Annals of Mathematics Studies
, vol.77
-
-
Moser, J.1
-
19
-
-
84956208186
-
The method of poincaré normal forms in problems of integrability of equations of evolution type
-
N. V. Nikolenko. The Method of Poincaré Normal Forms in Problems of Integrability of Equations of Evolution Type. Russian Math. Surveys, 41:5:63-114, 1986.
-
(1986)
Russian Math. Surveys
, vol.41
, Issue.5
, pp. 63-114
-
-
Nikolenko, N.V.1
-
20
-
-
79955579216
-
On systems with saddle-focus homoclinic curve
-
I. M. Ovsyannikov and L. P. Silnikov. On Systems with Saddle-Focus Homoclinic Curve. Math. USSR-Sb. 58:557-574, 1987.
-
(1987)
Math. USSR-Sb.
, vol.58
, pp. 557-574
-
-
Ovsyannikov, I.M.1
Silnikov, L.P.2
-
21
-
-
84956230541
-
A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type
-
L. P. Silnikov. A Contribution to the Problem of the Structure of an Extended Neighborhood of a Rough Equilibrium State of Saddle-Focus Type. Math. USSR Sb., 10:91-102, 1970.
-
(1970)
Math. USSR Sb.
, vol.10
, pp. 91-102
-
-
Silnikov, L.P.1
-
22
-
-
85034149114
-
An introduction to KAM theory
-
MSRI, Berkeley
-
C. E. Wayne. An Introduction to KAM Theory. Lecture Notes, MSRI, Berkeley, 1994.
-
(1994)
Lecture Notes
-
-
Wayne, C.E.1
|