-
1
-
-
0001591606
-
On combination of stochastic and deterministic processes
-
Ulam S.M., and Neumann J.V. On combination of stochastic and deterministic processes. Bull Am Math Soc 53 (1947) 1120
-
(1947)
Bull Am Math Soc
, vol.53
, pp. 1120
-
-
Ulam, S.M.1
Neumann, J.V.2
-
3
-
-
44949274831
-
Symbolic dynamics and characterization of complexity
-
Hao B.L. Symbolic dynamics and characterization of complexity. Physica D 51 (1991) 161-176
-
(1991)
Physica D
, vol.51
, pp. 161-176
-
-
Hao, B.L.1
-
4
-
-
0004141085
-
-
World Scientific, Singapore
-
Hao B.L., and Zheng W.M. Symbolic dynamics and chaos. Directions in chaos vol. 7 (1998), World Scientific, Singapore
-
(1998)
Directions in chaos
, vol.7
-
-
Hao, B.L.1
Zheng, W.M.2
-
6
-
-
49049151403
-
Symbolic dynamics and hyperbolic dynamics systems
-
Alekseev V.M., and Yakobson M.V. Symbolic dynamics and hyperbolic dynamics systems. Phys Rep 75 (1981) 287-325
-
(1981)
Phys Rep
, vol.75
, pp. 287-325
-
-
Alekseev, V.M.1
Yakobson, M.V.2
-
8
-
-
0000914040
-
On formal languages of one-dimensional dynamics systems
-
Xie H.M. On formal languages of one-dimensional dynamics systems. Nonlinearity 6 (1993) 997-1007
-
(1993)
Nonlinearity
, vol.6
, pp. 997-1007
-
-
Xie, H.M.1
-
9
-
-
33847082172
-
-
World Scientific, Singapore
-
Xie H.M. Grammatical complexity and one-dimensionals dynamics systems. Directions in chaos vol. 6 (1996), World Scientific, Singapore
-
(1996)
Directions in chaos
, vol.6
-
-
Xie, H.M.1
-
10
-
-
0001376041
-
The ordering of critical periodic points in coordinate space by symbolic dynamics
-
Peng S.L., and Luo L.S. The ordering of critical periodic points in coordinate space by symbolic dynamics. Phys Lett A 153 (1991) 345-352
-
(1991)
Phys Lett A
, vol.153
, pp. 345-352
-
-
Peng, S.L.1
Luo, L.S.2
-
11
-
-
0039176261
-
Cyclic star products and universalities in symbolic dynamics of trimodal maps
-
Zhou Z., and Peng S.L. Cyclic star products and universalities in symbolic dynamics of trimodal maps. Physica D 140 (2000) 213-226
-
(2000)
Physica D
, vol.140
, pp. 213-226
-
-
Zhou, Z.1
Peng, S.L.2
-
12
-
-
27144523225
-
Inherent randomicity in 4-symbolic dynamics
-
Zhang Y.G., Wang C.J., and Zhou Z. Inherent randomicity in 4-symbolic dynamics. Chaos, Solitons & Fractals 28 1 (2006) 236-243
-
(2006)
Chaos, Solitons & Fractals
, vol.28
, Issue.1
, pp. 236-243
-
-
Zhang, Y.G.1
Wang, C.J.2
Zhou, Z.3
-
13
-
-
0037424833
-
An effective numerical method of the word-lifting technique in one-dimensional multimodal maps
-
Zhou Z., and Cao K.F. An effective numerical method of the word-lifting technique in one-dimensional multimodal maps. Phys Lett A 310 (2003) 52-59
-
(2003)
Phys Lett A
, vol.310
, pp. 52-59
-
-
Zhou, Z.1
Cao, K.F.2
-
14
-
-
21344478375
-
Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle
-
Coelho Z., and Collet P. Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle. J Prob Theory Relat Fields 99 (1994) 237-250
-
(1994)
J Prob Theory Relat Fields
, vol.99
, pp. 237-250
-
-
Coelho, Z.1
Collet, P.2
-
15
-
-
0034369920
-
On discrete stochastic processes generated by deterministic sequences and multiplication machines
-
Coelho Z. On discrete stochastic processes generated by deterministic sequences and multiplication machines. Indag Mathe NS 11 3 (2000) 359-378
-
(2000)
Indag Mathe NS
, vol.11
, Issue.3
, pp. 359-378
-
-
Coelho, Z.1
-
16
-
-
0001359624
-
Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations
-
Peng S.L., and Cao K.F. Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations. Phys Rev E 54 4 (1996) 3211-3220
-
(1996)
Phys Rev E
, vol.54
, Issue.4
, pp. 3211-3220
-
-
Peng, S.L.1
Cao, K.F.2
-
18
-
-
0005803069
-
Disorder versus order: global multifractal relationship between topological entropies and universal convergence rates
-
Zhang X.S., Liu X.D., Kwek K.H., and Peng S.L. Disorder versus order: global multifractal relationship between topological entropies and universal convergence rates. Phys Lett A 211 3 (1996) 148-154
-
(1996)
Phys Lett A
, vol.211
, Issue.3
, pp. 148-154
-
-
Zhang, X.S.1
Liu, X.D.2
Kwek, K.H.3
Peng, S.L.4
-
19
-
-
0000197953
-
Global metric regularity of the devil's staircase of topological entropy
-
Cao K.F., Chen Z.X., and Peng S.L. Global metric regularity of the devil's staircase of topological entropy. Phys Rev E 51 3 (1995) 1989-1995
-
(1995)
Phys Rev E
, vol.51
, Issue.3
, pp. 1989-1995
-
-
Cao, K.F.1
Chen, Z.X.2
Peng, S.L.3
-
20
-
-
0000207220
-
Symbolic dynamics analysis of topological entropy and its multifractal structure
-
Chen Z.X., Cao K.F., and Peng S.L. Symbolic dynamics analysis of topological entropy and its multifractal structure. Phys Rev E 51 3 (1995) 1983-1988
-
(1995)
Phys Rev E
, vol.51
, Issue.3
, pp. 1983-1988
-
-
Chen, Z.X.1
Cao, K.F.2
Peng, S.L.3
-
21
-
-
0242325047
-
Devil's staircase of topological entropy and global metric regularity
-
Peng S.L., Cao K.F., and Chen Z.X. Devil's staircase of topological entropy and global metric regularity. Phys Lett A 193 5-6 (1994) 437-443
-
(1994)
Phys Lett A
, vol.193
, Issue.5-6
, pp. 437-443
-
-
Peng, S.L.1
Cao, K.F.2
Chen, Z.X.3
-
22
-
-
0037289956
-
Entropy invariants. I. The universal order relation of order-preserving star products
-
Chen Z.X., and Zhou Z. Entropy invariants. I. The universal order relation of order-preserving star products. Chaos, Solitons & Fractals 15 4 (2003) 713-727
-
(2003)
Chaos, Solitons & Fractals
, vol.15
, Issue.4
, pp. 713-727
-
-
Chen, Z.X.1
Zhou, Z.2
-
23
-
-
0037289957
-
Entropy invariants. II. The block structure of Stefan matrices
-
Chen Z.X., and Zhou Z. Entropy invariants. II. The block structure of Stefan matrices. Chaos, Solitons & Fractals 15 4 (2003) 729-742
-
(2003)
Chaos, Solitons & Fractals
, vol.15
, Issue.4
, pp. 729-742
-
-
Chen, Z.X.1
Zhou, Z.2
-
24
-
-
0036722198
-
On the topological entropy, nonwandering set and chaos of monotone and competitive dynamical systems
-
Liang X., and Jiang J.F. On the topological entropy, nonwandering set and chaos of monotone and competitive dynamical systems. Chaos, Solitons & Fractals 14 (2002) 689-696
-
(2002)
Chaos, Solitons & Fractals
, vol.14
, pp. 689-696
-
-
Liang, X.1
Jiang, J.F.2
-
25
-
-
4243103413
-
Metric universality for the devil's staircase of topological entropy
-
Shi J.X., Cao K.F., Guo T.L., and Peng S.L. Metric universality for the devil's staircase of topological entropy. Phys Lett A 211 1 (1996) 25-28
-
(1996)
Phys Lett A
, vol.211
, Issue.1
, pp. 25-28
-
-
Shi, J.X.1
Cao, K.F.2
Guo, T.L.3
Peng, S.L.4
-
27
-
-
0000100336
-
Period three implies chaos
-
Yorke J., and Li T.Y. Period three implies chaos. Am Math 82 (1975) 985-992
-
(1975)
Am Math
, vol.82
, pp. 985-992
-
-
Yorke, J.1
Li, T.Y.2
-
28
-
-
0000413668
-
Markov finite approximation of Frobenius-Perron operator
-
Ding J., and Li T.Y. Markov finite approximation of Frobenius-Perron operator. Nonlinear Anal Theory Meth Appl 17 (1991) 759-772
-
(1991)
Nonlinear Anal Theory Meth Appl
, vol.17
, pp. 759-772
-
-
Ding, J.1
Li, T.Y.2
-
29
-
-
0001062377
-
Finite approximation for the Frobenius-Perron operator, a solution to Ulam's conjecture
-
Li T.Y. Finite approximation for the Frobenius-Perron operator, a solution to Ulam's conjecture. J Approx Theory 17 (1976) 177-186
-
(1976)
J Approx Theory
, vol.17
, pp. 177-186
-
-
Li, T.Y.1
-
30
-
-
84968518885
-
Ergodic transformations from an interval into itself
-
Li T.Y., and Yorke J.A. Ergodic transformations from an interval into itself. Trans Am Math Soc 235 (1978) 183-192
-
(1978)
Trans Am Math Soc
, vol.235
, pp. 183-192
-
-
Li, T.Y.1
Yorke, J.A.2
-
31
-
-
84966227493
-
On the existence of invariant measures for piecewise monotonic transformations
-
Lasota A., and Yorke J.A. On the existence of invariant measures for piecewise monotonic transformations. Trans Am Math Soc 186 (1973) 481-488
-
(1973)
Trans Am Math Soc
, vol.186
, pp. 481-488
-
-
Lasota, A.1
Yorke, J.A.2
-
32
-
-
0020138838
-
Piecewise polynomial Galerkin approximation to invariant densities of one-dimensional difference equation
-
Kohda T., and Murao K. Piecewise polynomial Galerkin approximation to invariant densities of one-dimensional difference equation. Electron Commun Jpn 65 (1982) 1-11
-
(1982)
Electron Commun Jpn
, vol.65
, pp. 1-11
-
-
Kohda, T.1
Murao, K.2
-
34
-
-
0033722203
-
Fractals from genomes-exact solutions of a biology-inspired problem
-
Hao B.L. Fractals from genomes-exact solutions of a biology-inspired problem. Physica A 282 (2000) 225-246
-
(2000)
Physica A
, vol.282
, pp. 225-246
-
-
Hao, B.L.1
-
35
-
-
0034190318
-
Fractals related to long DNA sequences and complete genomes
-
Hao B.L., Lee H.C., and Zhang S.Y. Fractals related to long DNA sequences and complete genomes. Chaos, Solitons & Fractals 11 (2000) 825-836
-
(2000)
Chaos, Solitons & Fractals
, vol.11
, pp. 825-836
-
-
Hao, B.L.1
Lee, H.C.2
Zhang, S.Y.3
-
36
-
-
0035805967
-
Multifractal and probabilistic properties of DNA sequences
-
Bershadskii A. Multifractal and probabilistic properties of DNA sequences. Phys Lett A 284 (2001) 136-140
-
(2001)
Phys Lett A
, vol.284
, pp. 136-140
-
-
Bershadskii, A.1
-
37
-
-
0031548622
-
Low frequency dynamics of DNA
-
Grimm H., and Rupprecht A. Low frequency dynamics of DNA. Physica B 234-236 (1997) 183-187
-
(1997)
Physica B
, vol.234-236
, pp. 183-187
-
-
Grimm, H.1
Rupprecht, A.2
-
38
-
-
19044365743
-
Nonlinear waves in double-stranded DNA
-
Natalia L., and Avy S. Nonlinear waves in double-stranded DNA. Bull Math Biol 67 (2005) 701-718
-
(2005)
Bull Math Biol
, vol.67
, pp. 701-718
-
-
Natalia, L.1
Avy, S.2
-
39
-
-
10644297060
-
Mapping long-range chromatin organization within the chicken-globin gene domain using oligonucleotide DNA arrays
-
Elena I., Andrei P., Sergey V., and Yegor S. Mapping long-range chromatin organization within the chicken-globin gene domain using oligonucleotide DNA arrays. Genomics 85 (2005) 143-151
-
(2005)
Genomics
, vol.85
, pp. 143-151
-
-
Elena, I.1
Andrei, P.2
Sergey, V.3
Yegor, S.4
|