-
2
-
-
0032090317
-
On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems
-
J. Argyris and I. Andreadis, On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems, Chaos Solition. Fract. 9 (1998), pp. 959-963.
-
(1998)
Chaos Solition. Fract
, vol.9
, pp. 959-963
-
-
Argyris, J.1
Andreadis, I.2
-
3
-
-
0033896027
-
On perturbations of the Mandelbrot map
-
J. Argyris, I. Andreadis, and T.E. Karakasidis, On perturbations of the Mandelbrot map, Chaos Solition. Fract. 11 (2000), pp. 1131-1136.
-
(2000)
Chaos Solition. Fract
, vol.11
, pp. 1131-1136
-
-
Argyris, J.1
Andreadis, I.2
Karakasidis, T.E.3
-
4
-
-
0032021446
-
The influence of noise on the correlation dimension of chaotic attractors
-
J. Argyris, I. Andreadis, G. Pavlos, and M. Athanasiou, The influence of noise on the correlation dimension of chaotic attractors, Chaos Solition. Fract. 9 (1998), pp. 343-361.
-
(1998)
Chaos Solition. Fract
, vol.9
, pp. 343-361
-
-
Argyris, J.1
Andreadis, I.2
Pavlos, G.3
Athanasiou, M.4
-
5
-
-
0032093774
-
On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors
-
J. Argyris, I. Andreadis, G. Pavlos, and M. Athanasiou, On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors, Chaos Solition. Fract. 9 (1998), pp. 947-958.
-
(1998)
Chaos Solition. Fract
, vol.9
, pp. 947-958
-
-
Argyris, J.1
Andreadis, I.2
Pavlos, G.3
Athanasiou, M.4
-
6
-
-
0033690483
-
On the Julia set of the perturbed Mandelbrot map
-
J. Argyris, T.E. Karakasidis, and I. Andreadis, On the Julia set of the perturbed Mandelbrot map, Chaos Solition. Fract. 11 (2000), pp. 2067-2073.
-
(2000)
Chaos Solition. Fract
, vol.11
, pp. 2067-2073
-
-
Argyris, J.1
Karakasidis, T.E.2
Andreadis, I.3
-
7
-
-
0036462759
-
On the Julia sets of a noise-perturbedMandelbrot map
-
J. Argyris, T.E. Karakasidis, and I. Andreadis, On the Julia sets of a noise-perturbedMandelbrot map, Chaos Solition. Fract. 13 (2002), pp. 245-252.
-
(2002)
Chaos Solition. Fract
, vol.13
, pp. 245-252
-
-
Argyris, J.1
Karakasidis, T.E.2
Andreadis, I.3
-
8
-
-
74849087562
-
Symmetry properties of quaternionic and biquaternionic analogs of Julia sets
-
A.A. Bogush, A.Z. Gazizov, Y. A. Kurochkin, and V. T. Stosui, Symmetry properties of quaternionic and biquaternionic analogs of Julia sets, Ukr. J. Phys. 48 (2003), pp. 295-299.
-
(2003)
Ukr. J. Phys
, vol.48
, pp. 295-299
-
-
Bogush, A.A.1
Gazizov, A.Z.2
Kurochkin, Y.A.3
Stosui, V.T.4
-
9
-
-
0036695930
-
Generalized Mandelbrot sets for meromorphic complex and quaternionic maps
-
W. Buchanan, J. Gomantam, and B. Steves, Generalized Mandelbrot sets for meromorphic complex and quaternionic maps, Int. J. Bifurcat. Chaos. 12 (2002), pp. 1755-1777.
-
(2002)
Int. J. Bifurcat. Chaos
, vol.12
, pp. 1755-1777
-
-
Buchanan, W.1
Gomantam, J.2
Steves, B.3
-
10
-
-
0035420701
-
Computation with hypercomplex numbers
-
F. Chaitin-Chatelin and T. Meskauskas, Computation with hypercomplex numbers, Nonlinear Anal. 47 (2001), pp. 3391-3400.
-
(2001)
Nonlinear Anal
, vol.47
, pp. 3391-3400
-
-
Chaitin-Chatelin, F.1
Meskauskas, T.2
-
11
-
-
0031143828
-
3-D IFS fractals as real-time graphics model
-
Y.Q. Chen and G.A. Bi, 3-D IFS fractals as real-time graphics model, Comput. Graph. 21 (1997), pp. 367-370.
-
(1997)
Comput. Graph
, vol.21
, pp. 367-370
-
-
Chen, Y.Q.1
Bi, G.A.2
-
12
-
-
0034825747
-
Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions
-
K.W. Chung, H.S.Y. Chan, and B.N. Wang, Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions, Chaos Solition. Fract. 12 (2001), pp. 1181-1197.
-
(2001)
Chaos Solition. Fract
, vol.12
, pp. 1181-1197
-
-
Chung, K.W.1
Chan, H.S.Y.2
Wang, B.N.3
-
13
-
-
0002330439
-
Fluctuations and simple chaotic dynamics
-
J.P. Crutchfield, J.D. Farmer, and B.A. Huberman, Fluctuations and simple chaotic dynamics, Phys. Rep. 92 (1982), pp. 45-82.
-
(1982)
Phys. Rep
, vol.92
, pp. 45-82
-
-
Crutchfield, J.P.1
Farmer, J.D.2
Huberman, B.A.3
-
15
-
-
0036531232
-
Artist's statement CQUATS-a non-distributive quad algebra for 3D rendering of Mandelbrot and Julia sets
-
T.W. Gintz, Artist's statement CQUATS-a non-distributive quad algebra for 3D rendering of Mandelbrot and Julia sets, Comput. Graph. 26 (2002), pp. 367-370.
-
(2002)
Comput. Graph
, vol.26
, pp. 367-370
-
-
Gintz, T.W.1
-
16
-
-
0010532699
-
Generalization of the Mandelbrot set: Quaternionic quadratic maps
-
J. Gomatam, J. Doyle, B. Steves, and I. Mcfarlane, Generalization of the Mandelbrot set: quaternionic quadratic maps, Chaos Solition. Fract. 5 (1995), pp. 971-986.
-
(1995)
Chaos Solition. Fract
, vol.5
, pp. 971-986
-
-
Gomatam, J.1
Doyle, J.2
Steves, B.3
Mcfarlane, I.4
-
17
-
-
40749093037
-
Measuring the strangeness of strange attractors
-
P. Grassberger and I. Procaccia, Measuring the strangeness of strange attractors, Physica D 9 (1983), pp. 189-208.
-
(1983)
Physica D
, vol.9
, pp. 189-208
-
-
Grassberger, P.1
Procaccia, I.2
-
18
-
-
14344251853
-
Interactive visualization of quaternion Julia sets
-
San Francisco, CA
-
J.C. Hart, L.H. Kauffman, and D.J. Sandin, Interactive visualization of quaternion Julia sets, Proceedings of the 1st Conference on Visualization'90, San Francisco, CA, 1990.
-
(1990)
Proceedings of the 1st Conference on Visualization'90
-
-
Hart, J.C.1
Kauffman, L.H.2
Sandin, D.J.3
-
19
-
-
0010964557
-
Quaternionic Fatou-Julia sets
-
J.A.R. Holbrook, Quaternionic Fatou-Julia sets, Ann. Sci. Math. Quebec 11 (1987), pp. 79-94.
-
(1987)
Ann. Sci. Math. Quebec
, vol.11
, pp. 79-94
-
-
Holbrook, J.A.R.1
-
20
-
-
42749106883
-
Effect of noise on the dynamics of a complex map at the period-tripling accumulation point
-
O.B. Isaeva, S.P. Kuznetsov, and A.H. Osbaldestin, Effect of noise on the dynamics of a complex map at the period-tripling accumulation point, Phys. Rev. E 69 (2004), pp. 036216.1-036216.6.
-
(2004)
Phys. Rev. E
, vol.69
-
-
Isaeva, O.B.1
Kuznetsov, S.P.2
Osbaldestin, A.H.3
-
22
-
-
13444259724
-
Symbolic dynamics in investigation of quaternionic Julia sets
-
M. Lakner, M. Skapin-Rugelj, and P. Petek, Symbolic dynamics in investigation of quaternionic Julia sets, Chaos Solition. Fract. 24 (2005), pp. 1189-1201.
-
(2005)
Chaos Solition. Fract
, vol.24
, pp. 1189-1201
-
-
Lakner, M.1
Skapin-Rugelj, M.2
Petek, P.3
-
24
-
-
25844483878
-
Dynamics of a family of quadratic maps in the quaternion space
-
S. Nakane, Dynamics of a family of quadratic maps in the quaternion space, Int. J. Bifurcat. Chaos. 15 (2005), pp. 2535-2543.
-
(2005)
Int. J. Bifurcat. Chaos
, vol.15
, pp. 2535-2543
-
-
Nakane, S.1
-
25
-
-
38349172666
-
A new approach to dynamic noise on superior Mandelbrot set
-
A. Negi and M. Rani, A new approach to dynamic noise on superior Mandelbrot set, Chaos Solition. Fract. 36 (2008), pp. 1089-1096.
-
(2008)
Chaos Solition. Fract
, vol.36
, pp. 1089-1096
-
-
Negi, A.1
Rani, M.2
-
26
-
-
0242406768
-
Generation of volumetric escape time fractals
-
S. Nikiel and A. Goinski, Generation of volumetric escape time fractals, Comput. Graph. 27 (2003), pp. 977-982.
-
(2003)
Comput. Graph
, vol.27
, pp. 977-982
-
-
Nikiel, S.1
Goinski, A.2
-
27
-
-
0020151361
-
Generation and display of geometric fractals in 3-D
-
A. Norton, Generation and display of geometric fractals in 3-D, Comput. Graph. 16 (1982), pp. 61-67.
-
(1982)
Comput. Graph
, vol.16
, pp. 61-67
-
-
Norton, A.1
-
28
-
-
0024904381
-
Julia sets in the quaternions
-
A. Norton, Julia sets in the quaternions, Comput. Graph. 13 (1989), pp. 267-278.
-
(1989)
Comput. Graph
, vol.13
, pp. 267-278
-
-
Norton, A.1
-
29
-
-
0037562826
-
How to work with one-dimensional quadratic maps
-
G. Pastor, M. Romera, G. Alvarez, and F. Montoya, How to work with one-dimensional quadratic maps, Chaos Solition. Fract. 18 (2003), pp. 899-915.
-
(2003)
Chaos Solition. Fract
, vol.18
, pp. 899-915
-
-
Pastor, G.1
Romera, M.2
Alvarez, G.3
Montoya, F.4
-
30
-
-
0030100918
-
Graphic tools to analyse one-dimensional quadratic maps
-
M. Romera, G. Pastor, and F. Montoya, Graphic tools to analyse one-dimensional quadratic maps, Comput. Graph. 20 (1996), pp. 333-339.
-
(1996)
Comput. Graph
, vol.20
, pp. 333-339
-
-
Romera, M.1
Pastor, G.2
Montoya, F.3
-
31
-
-
34248348808
-
Additive perturbed generalized Mandelbrot-Julia sets
-
X.Y. Wang, P.J. Chang, and N.N. Gu, Additive perturbed generalized Mandelbrot-Julia sets, Appl. Math. Comput. 189 (2007), pp. 754-765.
-
(2007)
Appl. Math. Comput
, vol.189
, pp. 754-765
-
-
Wang, X.Y.1
Chang, P.J.2
Gu, N.N.3
-
33
-
-
0000309666
-
A method for estimation of fractal demension of tree crowns
-
B. Zeide and P. Pfeifer, A method for estimation of fractal demension of tree crowns, Forest Sci. 37 (1991), pp. 1253-1265.
-
(1991)
Forest Sci
, vol.37
, pp. 1253-1265
-
-
Zeide, B.1
Pfeifer, P.2
|