-
3
-
-
0033633360
-
Changes in the dynamical behavior of nonlinear systems induced by noise
-
P. S. Landa and P. V. E. McClintock, Changes in the dynamical behavior of nonlinear systems induced by noise, Physics Reports 323 (2000) 1-80.
-
(2000)
Physics Reports
, vol.323
, pp. 1-80
-
-
Landa, P.S.1
McClintock, P.V.E.2
-
5
-
-
0039065101
-
Stochastic resonance
-
L. Gammaitoni et al., Stochastic resonance, Rev. Mod. Phys. 70 (1998) 223.
-
(1998)
Rev. Mod. Phys.
, vol.70
, pp. 223
-
-
Gammaitoni, L.1
-
8
-
-
0008534827
-
Noise-induced chaos-order transitions
-
F. Gassmann, Noise-induced chaos-order transitions, Phys. Rev. E 55 (1997) 2215-2221.
-
(1997)
Phys. Rev. E
, vol.55
, pp. 2215-2221
-
-
Gassmann, F.1
-
10
-
-
31144434673
-
Noise induced complexity: From subthreshold oscillations to spiking in coupled excitable systems
-
M. A. Zaks, X. Sailer, L. Schimansky-Geier and A. B. Neiman, Noise induced complexity: From subthreshold oscillations to spiking in coupled excitable systems, Chaos 15 (2005) 026117.
-
(2005)
Chaos
, vol.15
, pp. 026117
-
-
Zaks, M.A.1
Sailer, X.2
Schimansky-Geier, L.3
Neiman, A.B.4
-
11
-
-
33750248017
-
Two-dimensional noise-sustained structures in optics: Theory and experiments
-
G. Agez, P. Glorieux, M. Taki and E. Louvergneaux, Two-dimensional noise-sustained structures in optics: Theory and experiments, Phys. Rev. A 74 (2006) 043814.
-
(2006)
Phys. Rev. A
, vol.74
, pp. 043814
-
-
Agez, G.1
Glorieux, P.2
Taki, M.3
Louvergneaux, E.4
-
12
-
-
33746255747
-
Front propagation sustained by additive noise
-
M. G. Clerc, C. Falcon and E. Tirapegui, Front propagation sustained by additive noise, Phys. Rev. E 74 (2006) 011303.
-
(2006)
Phys. Rev. E
, vol.74
, pp. 011303
-
-
Clerc, M.G.1
Falcon, C.2
Tirapegui, E.3
-
13
-
-
0033901786
-
Sensitivity analysis of the stochastically and periodically forced Brusselator
-
I. A. Bashkirtseva and L. B. Ryashko, Sensitivity analysis of the stochastically and periodically forced Brusselator, Physica A 278 (2000) 126.
-
(2000)
Physica A
, vol.278
, pp. 126
-
-
Bashkirtseva, I.A.1
Ryashko, L.B.2
-
14
-
-
33745460041
-
Stochastic dynamo model for subcritical transition
-
S. Fedotov, I. Bashkirtseva and L. Ryashko, Stochastic dynamo model for subcritical transition, Phys. Rev. E 73 (2006) 066307-066311.
-
(2006)
Phys. Rev. E
, vol.73
, pp. 066307-066311
-
-
Fedotov, S.1
Bashkirtseva, I.2
Ryashko, L.3
-
15
-
-
33646321989
-
The influence of noise on the logistic model
-
G. Mayer-Kress and H. Haken, The influence of noise on the logistic model, J. Stat. Phys. 26 (1981) 149-171.
-
(1981)
J. Stat. Phys.
, vol.26
, pp. 149-171
-
-
Mayer-Kress, G.1
Haken, H.2
-
16
-
-
0022524005
-
Influence of noise on Duffing-van der Pol oscillators
-
W. Ebeling, H. Herzel, W. Richert and L. Schimansky-Geier, Influence of noise on Duffing-van der Pol oscillators, ZAMM 66 (1986) 141.
-
(1986)
ZAMM
, vol.66
, pp. 141
-
-
Ebeling, W.1
Herzel, H.2
Richert, W.3
Schimansky-Geier, L.4
-
17
-
-
0026118691
-
Co-dimension two bifurcations in the presence of noise
-
N. Sri Namachchivaya, Co-dimension two bifurcations in the presence of noise, J. Appl. Mech. 58 (1991) 259.
-
(1991)
J. Appl. Mech.
, vol.58
, pp. 259
-
-
Namachchivaya Sri, N.1
-
18
-
-
0030241802
-
Stochastic Hopf bifurcation: An example
-
K. R. Schenk-Hoppe, Stochastic Hopf bifurcation: An example, Int. J. Non. Lin. Mech. 31 (1996) 685-692.
-
(1996)
Int. J. Non. Lin. Mech.
, vol.31
, pp. 685-692
-
-
Schenk-Hoppe, K.R.1
-
19
-
-
26844463258
-
The effect of noise on pitchfork and Hopf bifurcations
-
A. Juel, A. Darbyshire and T. Mullin, The effect of noise on pitchfork and Hopf bifurcations, Proc. R. Soc. Lond. 453 (1997) 2627-2647.
-
(1997)
Proc. R. Soc. Lond.
, vol.453
, pp. 2627-2647
-
-
Juel, A.1
Darbyshire, A.2
Mullin, T.3
-
24
-
-
0009736365
-
-
Lecture Notes in Physics, Springer-Verlag
-
F. Baras, Stochastic Analysis of Limit Cycle Behavior, in Stochastic Dynamics, Lecture Notes in Physics, Vol. 484 (Springer-Verlag, 1997), pp. 167-178.
-
(1997)
Stochastic Analysis of Limit Cycle Behavior, in Stochastic Dynamics
, vol.484
, pp. 167-178
-
-
Baras, F.1
-
25
-
-
0018982906
-
Small fluctuations in systems with multiple limit cycles
-
M. Mangel, Small fluctuations in systems with multiple limit cycles, SIAM. J. Appl. Math. 38 (1980) 120.
-
(1980)
SIAM. J. Appl. Math.
, vol.38
, pp. 120
-
-
Mangel, M.1
-
26
-
-
9144244517
-
Effect of noise and perturbations on limit cycle systems
-
C. Kurrer and K. Schulten, Effect of noise and perturbations on limit cycle systems, Physica D 50 (1991) 311-320.
-
(1991)
Physica D
, vol.50
, pp. 311-320
-
-
Kurrer, C.1
Schulten, K.2
-
27
-
-
0006276873
-
Deterministic noise amplifiers
-
R. J. Deissler and J. D. Farmer, Deterministic noise amplifiers, Physica D 55 (1992) 155.
-
(1992)
Physica D
, vol.55
, pp. 155
-
-
Deissler, R.J.1
Farmer, J.D.2
-
31
-
-
77951677223
-
-
Fluctuations and Sensitivity in Equilibrium Systems, eds. W. Horsthemke and D. K. Kondepudi Springer, Berlin
-
R. Lefever and J. Turner, Sensitivity of a Hopf Bifurcation to External Multiplicative Noise, in Fluctuations and Sensitivity in Equilibrium Systems, eds. W. Horsthemke and D. K. Kondepudi (Springer, Berlin, 1984), pp. 143-149.
-
(1984)
Sensitivity of a Hopf Bifurcation to External Multiplicative Noise
, pp. 143-149
-
-
Lefever, R.1
Turner, J.2
-
32
-
-
4243841718
-
Sensitivity of a Hopf bifurcation to multiplicative colored noise
-
R. Lefever and J. Turner, Sensitivity of a Hopf bifurcation to multiplicative colored noise, Phys. Rev. Lett. 56 (1986) 1631-1634.
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 1631-1634
-
-
Lefever, R.1
Turner, J.2
-
33
-
-
0001640637
-
Postponement of Hopf bifurcations by multiplicative colored noise
-
L. Franzoni, R. Mannella, P. McClintock and F. Moss, Postponement of Hopf bifurcations by multiplicative colored noise, Phys. Rev. A 36 (1987) 834.
-
(1987)
Phys. Rev. A
, vol.36
, pp. 834
-
-
Franzoni, L.1
Mannella, R.2
McClintock, P.3
Moss, F.4
-
34
-
-
0012154204
-
The stochastic Brusselator: Parametric Noise Destroys Hopf Bifurcation
-
in, Springer, New-York
-
L. Arnold, G. Bleckert and K. Schenk-Hoppe, The stochastic Brusselator: Parametric Noise Destroys Hopf Bifurcation, in Stochastic Dynamics, Bremen (Springer, New-York, 1999), pp. 71-92.
-
(1999)
Stochastic Dynamics, Bremen
, pp. 71-92
-
-
Arnold, L.1
Bleckert, G.2
Schenk-Hoppe, K.3
-
35
-
-
0024135650
-
Hopf bifurcation in the presence of both parametric and external stochastic excitations
-
N. Sri. Namachchivaya, Hopf bifurcation in the presence of both parametric and external stochastic excitations, J. Appl. Mech. 110 (1988) 923.
-
(1988)
J. Appl. Mech.
, vol.110
, pp. 923
-
-
Namachchivaya, N.1
-
36
-
-
0030290070
-
Bifurcation scenarios of the noisy Duffing-van der Pol oscillator
-
K. R. Schenk-Hoppe, Bifurcation scenarios of the noisy Duffing-van der Pol oscillator, Nonlinear Dynamics 11 (1996) 255-274.
-
(1996)
Nonlinear Dynamics
, vol.11
, pp. 255-274
-
-
Schenk-Hoppe, K.R.1
-
37
-
-
0032075512
-
Stochastic Hopf bifurcation in a biased van der Pol model
-
H. K. Leung, Stochastic Hopf bifurcation in a biased van der Pol model, Physica A 254 (1998) 146-155.
-
(1998)
Physica A
, vol.254
, pp. 146-155
-
-
Leung, H.K.1
-
38
-
-
8644249437
-
Stability analysis of a noise-induced Hopf bifurcation
-
K. Mallick and P. Marcq, Stability analysis of a noise-induced Hopf bifurcation, Eur. Phys. J. B 36 (2003) 119.
-
(2003)
Eur. Phys. J. B
, vol.36
, pp. 119
-
-
Mallick, K.1
Marcq, P.2
-
39
-
-
2542469547
-
Noise-induced reentrant transition of the stochastic Duffing oscillator
-
K. Mallick and P. Marcq, Noise-induced reentrant transition of the stochastic Duffing oscillator, Eur. Phys. J. B 38 (2004) 99.
-
(2004)
Eur. Phys. J. B
, vol.38
, pp. 99
-
-
Mallick, K.1
Marcq, P.2
-
40
-
-
0000241853
-
Deterministic nonperiodic flows
-
E. N. Lorenz, Deterministic nonperiodic flows, J. Atmos. Sci. 12 (1963) 139.
-
(1963)
J. Atmos. Sci.
, vol.12
, pp. 139
-
-
Lorenz, E.N.1
-
41
-
-
49549126801
-
An equation for continuous chaos
-
O. E. Roessler, An equation for continuous chaos, Phys. Lett. A 57 (1976) 397.
-
(1976)
Phys. Lett. A
, vol.57
, pp. 397
-
-
Roessler, O.E.1
-
44
-
-
20444492357
-
Sensitivity and chaos control for the forced nonlinear oscillations
-
I. A. Bashkirtseva and L. B. Ryashko, Sensitivity and chaos control for the forced nonlinear oscillations, Chaos, Solitons and Fractals 26 (2005) 1437-1451.
-
(2005)
Chaos, Solitons and Fractals
, vol.26
, pp. 1437-1451
-
-
Bashkirtseva, I.A.1
Ryashko, L.B.2
-
45
-
-
1642295601
-
Sensitivity analysis of stochastically forced Lorenz model cycles under period-doubling bifurcations
-
I. A. Bashkitseva and L. B. Ryashko, Sensitivity analysis of stochastically forced Lorenz model cycles under period-doubling bifurcations, Dyn. Syst. Appl. 11 (2002) 293-309.
-
(2002)
Dyn. Syst. Appl.
, vol.11
, pp. 293-309
-
-
Bashkitseva, I.A.1
Ryashko, L.B.2
-
46
-
-
17044372304
-
The analysis of the stochastically forced periodic attractors for Chua's circuit
-
M. Ryagin and L. Ryashko, The analysis of the stochastically forced periodic attractors for Chua's circuit, Int. J. Bifurcat. Chaos 14 (2004) 3981-3987.
-
(2004)
Int. J. Bifurcat. Chaos
, vol.14
, pp. 3981-3987
-
-
Ryagin, M.1
Ryashko, L.2
|