-
2
-
-
0001356311
-
Persistence and smoothness of invariant manifolds for flows
-
N. Fenichel, Persistence and smoothness of invariant manifolds for flows, Indiana Univ. Math. J., 21 (1971), 193-226.
-
(1971)
Indiana Univ. Math. J.
, vol.21
, pp. 193-226
-
-
Fenichel, N.1
-
3
-
-
48549114635
-
Strange attractors that are not chaotic
-
C. Grebogi, E. Ott, S. Pelikan, and J. A. Yorke, Strange attractors that are not chaotic, Physica D, 13 (1984), 261-268.
-
(1984)
Physica D
, vol.13
, pp. 261-268
-
-
Grebogi, C.1
Ott, E.2
Pelikan, S.3
Yorke, J.A.4
-
4
-
-
0003478288
-
-
Springer-Verlag, New York
-
J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York, 1983.
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
5
-
-
0001631940
-
Dynamics of a two-frequency parametrically driven Duffing oscillator
-
J. Heagy and W. L. Ditto, Dynamics of a two-frequency parametrically driven Duffing oscillator, J. Nonlinear Sci., 1 (1991), 423-455.
-
(1991)
J. Nonlinear Sci.
, vol.1
, pp. 423-455
-
-
Heagy, J.1
Ditto, W.L.2
-
6
-
-
0001441740
-
Invariant manifolds
-
Springer-Verlag, New York
-
M. W. Hirsch, C. C. Pugh, and M. Shub, Invariant Manifolds, Lecture Notes in Math., vol. 583, Springer-Verlag, New York, 1977.
-
(1977)
Lecture Notes in Math.
, vol.583
-
-
Hirsch, M.W.1
Pugh, C.C.2
Shub, M.3
-
7
-
-
0000419939
-
Quasiperiodically forced dynamical systems with strange nonchaotic attractors
-
F. J. Romeiras, A. Bobdeson, E. Ott, T. M. Antonsen, and C. Grebogi, Quasiperiodically forced dynamical systems with strange nonchaotic attractors, Physica D, 26 (1987), 277-294.
-
(1987)
Physica D
, vol.26
, pp. 277-294
-
-
Romeiras, F.J.1
Bobdeson, A.2
Ott, E.3
Antonsen, T.M.4
Grebogi, C.5
-
8
-
-
0008988731
-
Structure of the neighborhood of a homoclinic tube of an invariant torus
-
L. P. Silnikov, Structure of the neighborhood of a homoclinic tube of an invariant torus, Sov. Math Dokl., 9 (1968), 624-628.
-
(1968)
Sov. Math Dokl.
, vol.9
, pp. 624-628
-
-
Silnikov, L.P.1
-
10
-
-
0040587761
-
Global dynamics, phase space transport, orbits homoclinic to resonances, and applications
-
Providence, RI
-
S. Wiggins, Global Dynamics, Phase Space Transport, Orbits Homoclinic to Resonances, and Applications, Am. Math. Soc., Providence, RI, 1993.
-
(1993)
Am. Math. Soc.
-
-
Wiggins, S.1
-
11
-
-
0000028334
-
Homoclinic orbits in slowly varying oscillators
-
S. Wiggins and P. Holmes, Homoclinic orbits in slowly varying oscillators, SIAM J. Math. Anal., 18 (1987), 612-629.
-
(1987)
SIAM J. Math. Anal.
, vol.18
, pp. 612-629
-
-
Wiggins, S.1
Holmes, P.2
-
12
-
-
0008494528
-
Determining Lyapunov exponents from a time series
-
A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Determining Lyapunov exponents from a time series, Physica D, 16 (1985), 285-317.
-
(1985)
Physica D
, vol.16
, pp. 285-317
-
-
Wolf, A.1
Swift, J.B.2
Swinney, H.L.3
Vastano, J.A.4
-
13
-
-
0001648393
-
Chaotic dynamics of quasiperiodically forced oscillators detected by Melnikov's method
-
K. Yagasaki Chaotic dynamics of quasiperiodically forced oscillators detected by Melnikov's method, SIAM J. Math. Anal., 23 (1992), 1230-1254.
-
(1992)
SIAM J. Math. Anal.
, vol.23
, pp. 1230-1254
-
-
Yagasaki, K.1
-
14
-
-
0041181820
-
Melnikov's method and chaos in quasiperiodically forced systems
-
J. Awrejcewicz, ed., Akademie Verlag, Berlin
-
K. Yagasaki Melnikov's method and chaos in quasiperiodically forced systems, in Bifurcations and Chaos: Theory and Application, J. Awrejcewicz, ed., Akademie Verlag, Berlin, 1995, 179-211.
-
(1995)
Bifurcations and Chaos: Theory and Application
, pp. 179-211
-
-
Yagasaki, K.1
|