-
1
-
-
0000654592
-
Chaotic states and routes to chaos in the forced pendulum
-
D. d'Humieres, M. R. Beasley, B. A. Huberman and A. Libchaber, Chaotic states and routes to chaos in the forced pendulum, Phys. Rev. A 26, 3483-3496 (1982).
-
(1982)
Phys. Rev. A
, vol.26
, pp. 3483-3496
-
-
D'Humieres, D.1
Beasley, M.R.2
Huberman, B.A.3
Libchaber, A.4
-
2
-
-
0001230012
-
Intermittent chaos and low-frequency noise in the driven damped pendulum
-
E. G. Gwinn and R. M. Westervelt, Intermittent chaos and low-frequency noise in the driven damped pendulum, Phys. Rev. Lett. 54, 1613-1616 (1985).
-
(1985)
Phys. Rev. Lett.
, vol.54
, pp. 1613-1616
-
-
Gwinn, E.G.1
Westervelt, R.M.2
-
3
-
-
0003156167
-
Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
-
B. P. Koch and R. W. Leven, Subharmonic and homoclinic bifurcations in a parametrically forced pendulum, Physica D 16, 1-13 (1985).
-
(1985)
Physica D
, vol.16
, pp. 1-13
-
-
Koch, B.P.1
Leven, R.W.2
-
4
-
-
27944477321
-
Symmetry and chaos in the motion of the damped driven pendulum
-
W. C. Kerr, M. B. Williams, A. R. Bisschop, K. Fesser, P. S. Lomdahl, S. E. Trullinger, Symmetry and chaos in the motion of the damped driven pendulum, Zeitschr. Phys. B 59, 103-110 (1985).
-
(1985)
Zeitschr. Phys. B
, vol.59
, pp. 103-110
-
-
Kerr, W.C.1
Williams, M.B.2
Bisschop, A.R.3
Fesser, K.4
Lomdahl, P.S.5
Trullinger, S.E.6
-
5
-
-
0040461353
-
Driven pendulum for studying chaos
-
J. A. Blackburn, S. Vik, Binruo Wu and H. J. T. Smith, Driven pendulum for studying chaos, Rev. Sci. Instrum 60, 422-426 (1989).
-
(1989)
Rev. Sci. Instrum
, vol.60
, pp. 422-426
-
-
Blackburn, J.A.1
Vik, S.2
Wu, B.3
Smith, H.J.T.4
-
6
-
-
0002077325
-
Deterministic chaos in the elastic pendulum: A simple laboratory for nonlinear dynamics
-
R. Cuerno, A. F. Rañada and J. J. Ruiz-Lorenzo, Deterministic chaos in the elastic pendulum: a simple laboratory for nonlinear dynamics, Am. J. Phys. 60, 73-79 (1992).
-
(1992)
Am. J. Phys.
, vol.60
, pp. 73-79
-
-
Cuerno, R.1
Rañada, A.F.2
Ruiz-Lorenzo, J.J.3
-
7
-
-
0000116933
-
Chaos in a double pendulum
-
T. Shinbrot, C. Grebogi, J. Wisdom and J. A. Yorke, Chaos in a double pendulum, Am. J. Phys. 60, 491-496 (1992).
-
(1992)
Am. J. Phys.
, vol.60
, pp. 491-496
-
-
Shinbrot, T.1
Grebogi, C.2
Wisdom, J.3
Yorke, J.A.4
-
14
-
-
0010566092
-
Tutorial on continuation
-
R. Seydel, Tutorial on continuation, Int. J. Bif. Chaos 1, 3-11 (1991).
-
(1991)
Int. J. Bif. Chaos
, vol.1
, pp. 3-11
-
-
Seydel, R.1
-
15
-
-
38249023491
-
Period doubling solutions in the Duffing oscillator: A Galerkin approach
-
R. Van Dooren and H. Janssen, Period doubling solutions in the Duffing oscillator: a Galerkin approach, J. Comput. Phys. 82, 161-171 (1989).
-
(1989)
J. Comput. Phys.
, vol.82
, pp. 161-171
-
-
Van Dooren, R.1
Janssen, H.2
-
16
-
-
38249003996
-
Numerical evidence of Feigenbaum's number δ in non-linear oscillations
-
R. Van Dooren, M. De Groote and H. Janssen, Numerical evidence of Feigenbaum's number δ in non-linear oscillations, J. Comput. Phys. 105, 173-177 (1993).
-
(1993)
J. Comput. Phys.
, vol.105
, pp. 173-177
-
-
Van Dooren, R.1
De Groote, M.2
Janssen, H.3
-
17
-
-
0039039490
-
A new fiegenbaum sequence of period doubling bifurcations for a periodic excited buckled beam
-
R. Van Dooren and H. Janssen, A new Fiegenbaum sequence of period doubling bifurcations for a periodic excited buckled beam, Proc. 11th French Mechanics Congress, Lille - Villeneuve d'Ascq, Vol. 5, pp. 101-104 (1993).
-
(1993)
Proc. 11th French Mechanics Congress, Lille - Villeneuve D'ascq
, vol.5
, pp. 101-104
-
-
Van Dooren, R.1
Janssen, H.2
-
19
-
-
0021550514
-
Computation of periodic solutions of nonlinear ODE's
-
P. Deuflhard, Computation of periodic solutions of nonlinear ODE's, BIT 24, 456-466 (1984).
-
(1984)
BIT
, vol.24
, pp. 456-466
-
-
Deuflhard, P.1
-
20
-
-
38249035642
-
Algorithms for determination of period doubling bifurcation points in ordinary differential equations
-
M. Kubiček and M. Holodniok, Algorithms for determination of period doubling bifurcation points in ordinary differential equations, J. Comput. Phys. 70, 203-217 (1987).
-
(1987)
J. Comput. Phys.
, vol.70
, pp. 203-217
-
-
Kubiček, M.1
Holodniok, M.2
-
22
-
-
84939735258
-
Chaos: A tutorial for engineers
-
T. S. Parker and L. O. Chua, Chaos: a Tutorial for Engineers, Proc. of the IEEE 75, 982-1008 (1987).
-
(1987)
Proc. of the IEEE
, vol.75
, pp. 982-1008
-
-
Parker, T.S.1
Chua, L.O.2
-
23
-
-
0002709930
-
Universal behaviour in nonlinear systems
-
M. J. Feigenbaum, Universal behaviour in nonlinear systems, Los Alamos Sci. 1, 4-27 (1980).
-
(1980)
Los Alamos Sci.
, vol.1
, pp. 4-27
-
-
Feigenbaum, M.J.1
-
24
-
-
0008494528
-
Determining liapounov exponents from a time series
-
A. Wolf, J. B. Swift, H. L. Swinney and J. A. Vastano, Determining Liapounov exponents from a time series, Physica D 16, 285-317 (1985).
-
(1985)
Physica D
, vol.16
, pp. 285-317
-
-
Wolf, A.1
Swift, J.B.2
Swinney, H.L.3
Vastano, J.A.4
-
25
-
-
0001640825
-
Chaotic behavior of multidimensional difference equations
-
edited by H. O. Peitgen and H. O. Walther, Springer, Berlin
-
J. Kaplan and J. Yorke, Chaotic behavior of multidimensional difference equations. In Functional Differential Equations and the Approximation of Fixed Points, Lecture Notes in Mathematics Vol. 730, edited by H. O. Peitgen and H. O. Walther, pp. 204-227. Springer, Berlin (1979).
-
(1979)
Functional Differential Equations and the Approximation of Fixed Points, Lecture Notes in Mathematics
, vol.730
, pp. 204-227
-
-
Kaplan, J.1
Yorke, J.2
|