-
1
-
-
12044249591
-
The analysis of observed chaotic data in physical systems
-
H. D. I. ABARBANEL, R. BROWN, J. J. SIDOROVICH, AND L. S. TSIMRING, The analysis of observed chaotic data in physical systems, Rev. Modern Phys., 65 (1993), pp. 1331-1392.
-
(1993)
Rev. Modern Phys
, vol.65
, pp. 1331-1392
-
-
ABARBANEL, H.D.I.1
BROWN, R.2
SIDOROVICH, J.J.3
TSIMRING, L.S.4
-
2
-
-
0035882632
-
Hypermeander of spirals; local bifurcations and statistical properties
-
P. ASHWIN, I. MELBOURNE, AND M. NICOL, Hypermeander of spirals; local bifurcations and statistical properties, Phys. D, 156 (2001), pp. 364-382.
-
(2001)
Phys. D
, vol.156
, pp. 364-382
-
-
ASHWIN, P.1
MELBOURNE, I.2
NICOL, M.3
-
3
-
-
33744651020
-
The bipolar motor: A simple demonstration of deterministic chaos
-
M. J. BALLICO, M. L. SAWLEY, AND F. SKIFF, The bipolar motor: A simple demonstration of deterministic chaos, Amer. J. Phys., 58 (1990), pp. 58-61.
-
(1990)
Amer. J. Phys
, vol.58
, pp. 58-61
-
-
BALLICO, M.J.1
SAWLEY, M.L.2
SKIFF, F.3
-
4
-
-
0000449395
-
Deterministic Brownian motion in the hypermeander of spiral waves
-
V. N BIKTASHEV AND A. V. HOLDEN, Deterministic Brownian motion in the hypermeander of spiral waves, Phys. D, 116 (2001), pp. 342-382.
-
(2001)
Phys. D
, vol.116
, pp. 342-382
-
-
BIKTASHEV, V.N.1
HOLDEN, A.V.2
-
5
-
-
27844563993
-
Subexponential decay of correlations for compact group extensions of nonuniformly expanding systems
-
H. BRUIN, M. HOLLAND, AND I. MELBOURNE, Subexponential decay of correlations for compact group extensions of nonuniformly expanding systems, Ergodic Theory Dynam. Systems, 25 (2005), pp. 1719-1738.
-
(2005)
Ergodic Theory Dynam. Systems
, vol.25
, pp. 1719-1738
-
-
BRUIN, H.1
HOLLAND, M.2
MELBOURNE, I.3
-
6
-
-
44949273552
-
State space reconstruction in the presence of noise
-
M. CASDAGLI, S. EUBANK, J. D. FARMER, AND J. GIBSON, State space reconstruction in the presence of noise, Phys. D, 51 (1991), pp. 52-98.
-
(1991)
Phys. D
, vol.51
, pp. 52-98
-
-
CASDAGLI, M.1
EUBANK, S.2
FARMER, J.D.3
GIBSON, J.4
-
7
-
-
6444240297
-
Liapunov exponents from time series
-
J.-P. ECKMANN, S. O. KAMPHURST, D. RUELLE, AND S. CILIBERTO, Liapunov exponents from time series, Phys. Rev. A (3), 34 (1986), pp. 4971-4979.
-
(1986)
Phys. Rev. A
, vol.34
, Issue.3
, pp. 4971-4979
-
-
ECKMANN, J.-P.1
KAMPHURST, S.O.2
RUELLE, D.3
CILIBERTO, S.4
-
8
-
-
0037331481
-
Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions
-
M. FIELD, I. MELBOURNE, AND A. TÖRÖ K, Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions, Ergodic Theory Dynam. Systems, 23 (2003), pp. 87-110.
-
(2003)
Ergodic Theory Dynam. Systems
, vol.23
, pp. 87-110
-
-
FIELD, M.1
MELBOURNE, I.2
TÖRÖ K, A.3
-
10
-
-
27744608106
-
Testing for chaos in deterministic systems with noise
-
G. A. GOTTWALD AND I. MELBOURNE, Testing for chaos in deterministic systems with noise, Phys. D, 212 (2005), pp. 100-110.
-
(2005)
Phys. D
, vol.212
, pp. 100-110
-
-
GOTTWALD, G.A.1
MELBOURNE, I.2
-
11
-
-
0003915006
-
-
2nd ed, Cambridge University Press, Cambridge, UK
-
H. KANTZ AND T. SCHREIBER, Nonlinear Time Series Analysis, 2nd ed., Cambridge University Press, Cambridge, UK, 2004.
-
(2004)
Nonlinear Time Series Analysis
-
-
KANTZ, H.1
SCHREIBER, T.2
-
12
-
-
7544226129
-
Statistical properties of endomorphisms and compact group extensions
-
I. MELBOURNE AND M. NICOL, Statistical properties of endomorphisms and compact group extensions, J. London Math. Soc. (2), 70 (2004), pp. 427-446.
-
(2004)
J. London Math. Soc. (2)
, vol.70
, pp. 427-446
-
-
MELBOURNE, I.1
NICOL, M.2
-
13
-
-
0035290132
-
Euclidean extensions of dynamical systems
-
M. NICOL, I. MELBOURNE, AND P. ASHWIN, Euclidean extensions of dynamical systems, Nonlinearity, 14 (2001), pp. 275-300.
-
(2001)
Nonlinearity
, vol.14
, pp. 275-300
-
-
NICOL, M.1
MELBOURNE, I.2
ASHWIN, P.3
-
15
-
-
0004161838
-
-
in C, Cambridge University Press, Cambridge, UK
-
W. H. PRESS, S. A. TEUKOLSKY, W. T. VETTERLING, AND B. P. FLANNERY, Numerical Recipes in C, Cambridge University Press, Cambridge, UK, 1992.
-
(1992)
Numerical Recipes
-
-
PRESS, W.H.1
TEUKOLSKY, S.A.2
VETTERLING, W.T.3
FLANNERY, B.P.4
-
16
-
-
0001394076
-
Measurement of the Lyapunov spectrum from a chaotic time series
-
M. SANO AND Y. SAWADA, Measurement of the Lyapunov spectrum from a chaotic time series, Phys. Rev. Lett., 55 (1985), pp. 1082-1085.
-
(1985)
Phys. Rev. Lett
, vol.55
, pp. 1082-1085
-
-
SANO, M.1
SAWADA, Y.2
-
17
-
-
0000303832
-
Noise in chaotic data: Diagnosis and treatment
-
T. SCHREIBER AND H. KANTZ, Noise in chaotic data: Diagnosis and treatment, Chaos, 5 (1995), pp. 133-142.
-
(1995)
Chaos
, vol.5
, pp. 133-142
-
-
SCHREIBER, T.1
KANTZ, H.2
-
18
-
-
0000779360
-
Detecting strange attractors in turbulence
-
Dynamical Systems and Turbulence, Springer-Verlag, Berlin
-
F. TAKENS, Detecting strange attractors in turbulence, in Dynamical Systems and Turbulence, Lecture Notes in Math. 898, Springer-Verlag, Berlin, 1981, pp. 366-381.
-
(1981)
Lecture Notes in Math
, vol.898
, pp. 366-381
-
-
TAKENS, F.1
-
19
-
-
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, Phys. D, 16 (1985), pp. 285-317.
-
(1985)
Phys. D
, vol.16
, pp. 285-317
-
-
WOLF, A.1
SWIFT, J.B.2
SWINNEY, H.L.3
VASTANO, J.A.4
|