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For: Farrell BF, Ioannou PJ. Variance maintained by stochastic forcing of non-normal dynamical systems associated with linearly stable shear flows. Phys Rev Lett 1994;72:1188-1191. [PMID: 10056645 DOI: 10.1103/physrevlett.72.1188] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Number Cited by Other Article(s)
1
Suchanek T, Kroy K, Loos SAM. Time-reversal and parity-time symmetry breaking in non-Hermitian field theories. Phys Rev E 2023;108:064123. [PMID: 38243548 DOI: 10.1103/physreve.108.064123] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/11/2023] [Accepted: 11/06/2023] [Indexed: 01/21/2024]
2
Non-reciprocal phase transitions. Nature 2021;592:363-369. [PMID: 33854249 DOI: 10.1038/s41586-021-03375-9] [Citation(s) in RCA: 106] [Impact Index Per Article: 35.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/09/2020] [Accepted: 02/19/2021] [Indexed: 12/22/2022]
3
Iverson E, Yang M, Zhang H, McCoy JH. Nontrivial amplification below the threshold for excitable cell signaling. Phys Rev E 2020;102:032409. [PMID: 33076000 DOI: 10.1103/physreve.102.032409] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2020] [Accepted: 07/13/2020] [Indexed: 11/07/2022]
4
Biancalani T, Jafarpour F, Goldenfeld N. Giant Amplification of Noise in Fluctuation-Induced Pattern Formation. PHYSICAL REVIEW LETTERS 2017;118:018101. [PMID: 28106453 DOI: 10.1103/physrevlett.118.018101] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/11/2016] [Indexed: 05/21/2023]
5
Mamatsashvili G, Khujadze G, Chagelishvili G, Dong S, Jiménez J, Foysi H. Dynamics of homogeneous shear turbulence: A key role of the nonlinear transverse cascade in the bypass concept. Phys Rev E 2016;94:023111. [PMID: 27627396 DOI: 10.1103/physreve.94.023111] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/24/2016] [Indexed: 11/07/2022]
6
Dixon J, Lindemann A, McCoy JH. Transient amplification limits noise suppression in biochemical networks. Phys Rev E 2016;93:012415. [PMID: 26871109 DOI: 10.1103/physreve.93.012415] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2015] [Indexed: 06/05/2023]
7
Squire J, Bhattacharjee A. Nonmodal growth of the magnetorotational instability. PHYSICAL REVIEW LETTERS 2014;113:025006. [PMID: 25062200 DOI: 10.1103/physrevlett.113.025006] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/16/2014] [Indexed: 06/03/2023]
8
Ortiz de Zárate JM, Sengers JV. Nonequilibrium velocity fluctuations and energy amplification in planar Couette flow. Phys Rev E 2009;79:046308. [PMID: 19518334 DOI: 10.1103/physreve.79.046308] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2009] [Indexed: 11/07/2022]
9
Khujadze G, Oberlack M, Chagelishvili G. Direct numerical simulation of stochastically forced laminar plane couette flow: peculiarities of hydrodynamic fluctuations. PHYSICAL REVIEW LETTERS 2006;97:034501. [PMID: 16907504 DOI: 10.1103/physrevlett.97.034501] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/03/2005] [Indexed: 05/11/2023]
10
Fedotov S, Bashkirtseva I, Ryashko L. Stochastic dynamo model for subcritical transition. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2006;73:066307. [PMID: 16906976 DOI: 10.1103/physreve.73.066307] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/24/2005] [Revised: 04/04/2006] [Indexed: 05/11/2023]
11
Kulp CW, Tracy ER. Control of integrable Hamiltonian systems and degenerate bifurcations. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2004;70:016205. [PMID: 15324150 DOI: 10.1103/physreve.70.016205] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/16/2003] [Indexed: 05/24/2023]
12
Fedotov S. Non-normal and stochastic amplification of magnetic energy in the turbulent dynamo: subcritical case. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2003;68:067301. [PMID: 14754360 DOI: 10.1103/physreve.68.067301] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/27/2003] [Indexed: 05/24/2023]
13
Fedotov S, Bashkirtseva I, Ryashko L. Stochastic analysis of a non-normal dynamical system mimicking a laminar-to-turbulent subcritical transition. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002;66:066310. [PMID: 12513405 DOI: 10.1103/physreve.66.066310] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/02/2002] [Indexed: 05/24/2023]
14
Longhi S. Pulse dynamics in actively mode-locked lasers with frequency shifting. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002;66:056607. [PMID: 12513623 DOI: 10.1103/physreve.66.056607] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/15/2002] [Indexed: 05/24/2023]
15
Finn JM. The effect of Lagrangian chaos on locking bifurcations in shear flows. CHAOS (WOODBURY, N.Y.) 2002;12:508-517. [PMID: 12779581 DOI: 10.1063/1.1468246] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
16
Longhi S, Laporta P. Excess noise in intracavity laser frequency modulation. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000;61:R989-R992. [PMID: 11046520 DOI: 10.1103/physreve.61.r989] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/23/1999] [Indexed: 05/23/2023]
17
Gog JR, Oprea I, Proctor MRE, Rucklidge AM. Destabilization by noise of transverse perturbations to heteroclinic cycles: a simple model and an example from dynamo theory. Proc Math Phys Eng Sci 1999. [DOI: 10.1098/rspa.1999.0498] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
18
Eckhardt B, Mersmann A. Transition to turbulence in a shear flow. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999;60:509-17. [PMID: 11969790 DOI: 10.1103/physreve.60.509] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/27/1997] [Revised: 02/16/1999] [Indexed: 04/18/2023]
19
Gebhardt T, Grossmann S. Chaos transition despite linear stability. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994;50:3705-3711. [PMID: 9962424 DOI: 10.1103/physreve.50.3705] [Citation(s) in RCA: 88] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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