-
1
-
-
0347447535
-
The universal metric properties of nonlinear transformations
-
Feigenbaum, M.J.: The universal metric properties of nonlinear transformations. J. Stat. Phys. 21, 669-706 (1979)
-
(1979)
J. Stat. Phys.
, vol.21
, pp. 669-706
-
-
Feigenbaum, M.J.1
-
2
-
-
84927989803
-
Feigenbaum universality and thermodynamic formalism
-
Vul, E.B., Sinai, Ya.G., Khanin, K.M.: Feigenbaum universality and thermodynamic formalism. Russ. Math. Surv. 39, 1-40 (1984)
-
(1984)
Russ. Math. Surv.
, vol.39
, pp. 1-40
-
-
Vul, E.B.1
Sinai, Ya.G.2
Khanin, K.M.3
-
3
-
-
0000237730
-
Universal behavior in families of area preserving maps
-
Greene, J.M., MacKay, R.S., Vivaldi, F., Feigenbaum, M.J.: Universal behavior in families of area preserving maps. Physica D 3, 468-486 (1981)
-
(1981)
Physica D
, vol.3
, pp. 468-486
-
-
Greene, J.M.1
MacKay, R.S.2
Vivaldi, F.3
Feigenbaum, M.J.4
-
4
-
-
0038658648
-
On universality for area-preserving maps of the plane
-
Collet, P., Eckmann, J.-P., Koch, H.: On universality for area-preserving maps of the plane. Physica D 3, 457-467 (1981)
-
(1981)
Physica D
, vol.3
, pp. 457-467
-
-
Collet, P.1
Eckmann, J.-P.2
Koch, H.3
-
5
-
-
22244435161
-
Renormalization group analysis of bifurcations in area-preserving maps
-
Widom, M., Kadanoff, L.P.: Renormalization group analysis of bifurcations in area-preserving maps. Physica D 5, 287-292 (1982)
-
(1982)
Physica D
, vol.5
, pp. 287-292
-
-
Widom, M.1
Kadanoff, L.P.2
-
6
-
-
0000994716
-
Exact solution of the Feigenbaum renormalization group equations for intermittency
-
Hu, B., Rudnick, J.: Exact solution of the Feigenbaum renormalization group equations for intermittency. Phys. Rev. Lett. 48, 1645-1648 (1982)
-
(1982)
Phys. Rev. Lett.
, vol.48
, pp. 1645-1648
-
-
Hu, B.1
Rudnick, J.2
-
7
-
-
0001540965
-
Quasiperiodicity in dissipative systems: A renormalization group analysis
-
Feigenbaum, M.J., Kadanoff, L.P., Shenker, S.J.: Quasiperiodicity in dissipative systems: a renormalization group analysis. Physica D 5, 370-386 (1982)
-
(1982)
Physica D
, vol.5
, pp. 370-386
-
-
Feigenbaum, M.J.1
Kadanoff, L.P.2
Shenker, S.J.3
-
8
-
-
0020810173
-
Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
-
Ostlund, S., Rand, D., Sethna, J., Siggia, E.: Universal properties of the transition from quasi-periodicity to chaos in dissipative systems. Physica D 8, 303-342 (1983)
-
(1983)
Physica D
, vol.8
, pp. 303-342
-
-
Ostlund, S.1
Rand, D.2
Sethna, J.3
Siggia, E.4
-
9
-
-
29044442013
-
Scenarios under constraint
-
Collet, P., Coullet, P., Tresser, C.: Scenarios under constraint. J. Phys. Lett. 46, L143-L147 (1985)
-
(1985)
J. Phys. Lett.
, vol.46
-
-
Collet, P.1
Coullet, P.2
Tresser, C.3
-
10
-
-
0002707370
-
Higher-order fixed points of the renormalisation operator for invariant circles
-
Greene, J.M., Mao, J.: Higher-order fixed points of the renormalisation operator for invariant circles. Nonlinearity 3, 69-78 (1990)
-
(1990)
Nonlinearity
, vol.3
, pp. 69-78
-
-
Greene, J.M.1
Mao, J.2
-
11
-
-
0007213130
-
Codimension and typicity in a context of description of transition to chaos via period-doubling in dissipative dynamical systems
-
4
-
Kuznetsov, A.P., Kuznetsov, S.P., Sataev, I.R.: Codimension and typicity in a context of description of transition to chaos via period-doubling in dissipative dynamical systems. Regul. Chaot. Dyn. 2(4), 90-105 (1997)
-
(1997)
Regul. Chaot. Dyn.
, vol.2
, pp. 90-105
-
-
Kuznetsov, A.P.1
Kuznetsov, S.P.2
Sataev, I.R.3
-
12
-
-
0002500575
-
A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos
-
Kuznetsov, A.P., Kuznetsov, S.P., Sataev, I.R.: A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos. Physica D 109, 91-112 (1997)
-
(1997)
Physica D
, vol.109
, pp. 91-112
-
-
Kuznetsov, A.P.1
Kuznetsov, S.P.2
Sataev, I.R.3
-
13
-
-
0001898814
-
The renormalization group and the ε expansion
-
Wilson, K.G., Kogut, J.: The renormalization group and the ε expansion. Phys. Rep. 12, 75-199 (1974)
-
(1974)
Phys. Rep.
, vol.12
, pp. 75-199
-
-
Wilson, K.G.1
Kogut, J.2
-
15
-
-
0040005051
-
Period doubling system under fractal signal: Bifurcation in the renormalization group equation
-
Kuznetsov, A.P., Kuznetsov, S.P., Sataev, I.R.: Period doubling system under fractal signal: Bifurcation in the renormalization group equation. Chaos Solitons Fractals 1, 355-367 (1991)
-
(1991)
Chaos Solitons Fractals
, vol.1
, pp. 355-367
-
-
Kuznetsov, A.P.1
Kuznetsov, S.P.2
Sataev, I.R.3
-
16
-
-
0000370984
-
New types of critical dynamics for two-dimensional maps
-
Kuznetsov, S.P., Sataev, I.R.: New types of critical dynamics for two-dimensional maps. Phys. Lett. A 162, 236-242 (1992)
-
(1992)
Phys. Lett. A
, vol.162
, pp. 236-242
-
-
Kuznetsov, S.P.1
Sataev, I.R.2
-
17
-
-
4243901540
-
Period-doubling for two-dimensional non-invertible maps: Renormalization group analysis and quantitative universality
-
Kuznetsov, S.P., Sataev, I.R.: Period-doubling for two-dimensional non-invertible maps: renormalization group analysis and quantitative universality. Physica D 101, 249-269 (1997)
-
(1997)
Physica D
, vol.101
, pp. 249-269
-
-
Kuznetsov, S.P.1
Sataev, I.R.2
-
18
-
-
18344389610
-
Period doubling: Universality and critical-point order
-
Hu, B., Mao, J.M.: Period doubling: universality and critical-point order. Phys. Rev. A 25, 3259-3261 (1982)
-
(1982)
Phys. Rev. A
, vol.25
, pp. 3259-3261
-
-
Hu, B.1
Mao, J.M.2
-
19
-
-
0011273794
-
A spectrum of universality classes in period-doubling and period tripling
-
Hu, B., Satija, I.I.: A spectrum of universality classes in period-doubling and period tripling. Phys. Lett. A 98, 143-146 (1983)
-
(1983)
Phys. Lett. A
, vol.98
, pp. 143-146
-
-
Hu, B.1
Satija, I.I.2
-
21
-
-
0003478288
-
-
Springer New York
-
Guckenheimer, J., Holmes, P.: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer, New York (1997)
-
(1997)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
22
-
-
17144450765
-
Universality and scaling for the breakup of phase synchronization at the onset of chaos in a periodically driven Rössler oscillator
-
Kuznetsov, S.P., Sataev, I.R.: Universality and scaling for the breakup of phase synchronization at the onset of chaos in a periodically driven Rössler oscillator. Phys. Rev. E 64, 046214 (2001)
-
(2001)
Phys. Rev. e
, vol.64
, pp. 046214
-
-
Kuznetsov, S.P.1
Sataev, I.R.2
-
24
-
-
37549032251
-
Multi-parameter picture of transition to chaos
-
Kuznetsov, A.P., Turukina, L.V., Savin, A.V., Sataev, I.R., Sedova, J.V., Milovanov, S.V.: Multi-parameter picture of transition to chaos. Appl. Nonlinear Dyn. (Saratov) 10, 80-96 (2002). http://sgtnd.narod.ru/papers/2002AND. pdf
-
(2002)
Appl. Nonlinear Dyn. (Saratov)
, vol.10
, pp. 80-96
-
-
Kuznetsov, A.P.1
Turukina, L.V.2
Savin, A.V.3
Sataev, I.R.4
Sedova, J.V.5
Milovanov, S.V.6
-
25
-
-
29044435646
-
Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps
-
Kuznetsov, S.P., Kuznetsov, A.P., Sataev, I.R.: Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps. J. Stat. Phys. 121, 697-748 (2005)
-
(2005)
J. Stat. Phys.
, vol.121
, pp. 697-748
-
-
Kuznetsov, S.P.1
Kuznetsov, A.P.2
Sataev, I.R.3
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