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White and coloured external noise and transition phenomena in nonlinear systems

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inferredcites →https://doi.org/10.1002/bbpc.197800155openalex-snapshot
G. Nicolis und I. Prigogine: Self‐Organization in Nonequilibrium Systems. From Dissipative Structures to Order through Fluctuations. J. Wiley & Sons, New York, London, Sydney, Toronto 1977. 491 Seiten, Preis: £ 20.–, $ 34.–
inferredcites →https://doi.org/10.1002/bimj.4710200215openalex-snapshot
TYSON, J. J.: The BELOUSOV‐ZHABOTINSKII Reaction. Lecture Notes in Biomathematics 10. Springer‐Verlag, Berlin‐Heidelberg‐New York 1976. IX, 128 S., 29 Abb., 1 Tab., DM 18,—.
inferredcites →https://doi.org/10.1007/978-1-4615-8912-9openalex-snapshot
Fluctuations, Instabilities, and Phase Transitions
inferredcites →https://doi.org/10.1007/978-1-4615-8912-9_14openalex-snapshot
Macroscopic Theory of Fluctuations and Instabilities in Optics and Hydrodynamics
inferredcites →https://doi.org/10.1007/978-3-540-77571-3_26openalex-snapshot
Stochastische Differentialgleichungen
inferredcites →https://doi.org/10.1007/978-3-642-93046-1openalex-snapshot
The Belousov-Zhabotinskii Reaction
inferredcites →https://doi.org/10.1007/978-3-642-96363-6openalex-snapshot
Synergetics
inferredcites →https://doi.org/10.1007/978-3-663-01511-6_8openalex-snapshot
Dynamics of Current Instabilities
inferredcites →https://doi.org/10.1007/bf01325452openalex-snapshot
Mean-field theory of critical behaviour and first order transition: A comparison between the Master Equation and the nonlinear Fokker-Planck equation
inferredcites →https://doi.org/10.1007/bf01360902openalex-snapshot
The influence of external noise on non-equilibrium phase transitions
inferredcites →https://doi.org/10.1007/bf01379769openalex-snapshot
Chemical reaction models for non-equilibrium phase transitions
inferredcites →https://doi.org/10.1007/bfb0044955openalex-snapshot
Generalpart
inferredcites →https://doi.org/10.1007/bfb0060079openalex-snapshot
Topics in Stability and Bifurcation Theory
inferredcites →https://doi.org/10.1007/bfb0062668openalex-snapshot
On the stability and growth of real noise parameter-excited linear systems
inferredcites →https://doi.org/10.1016/0021-8928(60)90103-9openalex-snapshot
On the stability of systems with random parameters
inferredcites →https://doi.org/10.1016/0065-2571(69)90016-8openalex-snapshot
Cooperation of glycolytic enzymes
inferredcites →https://doi.org/10.1016/0304-422x(74)90010-2openalex-snapshot
Stabilité structurelle et morphogenèse
inferredcites →https://doi.org/10.1016/0375-9601(77)90069-xopenalex-snapshot
Comment on the kinetic potential and the maxwell construction in non-equilibrium chemical phase transitions
inferredcites →https://doi.org/10.1016/s0006-3495(72)86164-2openalex-snapshot
Dissipative Structures for an Allosteric Model
inferredcites →https://doi.org/10.1063/1.432246openalex-snapshot
Pattern formation in reacting and diffusing systems
inferredcites →https://doi.org/10.1073/pnas.68.9.2102openalex-snapshot
Fluctuations in Nonequilibrium Systems
inferredcites →https://doi.org/10.1119/1.1987158openalex-snapshot
Thermodynamic Theory of Structure, Stability and Fluctuations
inferredcites →https://doi.org/10.1515/9783112727393openalex-snapshot
Stochastische Differentialgleichungen

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/9780470142578.ch7openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/bem.2250060306openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/ece3.3886openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/pssb.2221130122openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/qua.560230440openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/3-540-50643-8_37openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-11440-4_37openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-46508-6_11openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-46508-6_13openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-67262-0_10openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-67262-0_9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-67592-8_6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-68038-0_10openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-68038-0_12openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-73309-3_1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-81778-6_17openalex-snapshot
Critical Exponents of a Pure Noise Induced Transition, Nonlinear Noise and Its Effect on an Electrohydrodynamic Transition in Nematics
inferred← citeshttps://doi.org/10.1007/978-3-662-12616-5_7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-94-009-8546-9_8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00275437openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00871092openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01010340openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01010489openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01011341openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01044710openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01294434openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01294534openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01322159openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02062384openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02218856openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02458325openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02459589openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0025635openalex-snapshot
Experiments on phase transitions due to the external fluctuation
inferred← citeshttps://doi.org/10.1007/s11071-017-3387-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s12648-021-02186-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0005-2736(87)90199-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-247x(83)90212-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0025-5564(85)90036-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0096-3003(90)90003-lopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0096-3003(90)90051-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0302-4598(81)80039-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0370-1573(81)90072-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0378-4371(79)90103-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0378-4371(79)90104-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0378-4371(80)90002-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0378-4371(84)90100-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0378-4371(86)90258-xopenalex-snapshot
Stochastic runaway of dynamical systems
inferred← citeshttps://doi.org/10.1016/b978-0-12-095603-6.50006-3openalex-snapshot
Qualitative Theory of Stochastic Systems
inferred← citeshttps://doi.org/10.1016/b978-0-12-095603-6.50007-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cjph.2016.11.004openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.gene.2021.145997openalex-snapshot
Dynamical network biomarkers: Theory and applications
inferred← citeshttps://doi.org/10.1016/j.jtte.2019.01.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physa.2015.08.036openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physa.2023.129273openalex-snapshot
Ergodic observables in non-ergodic systems: The example of the harmonic chain
inferred← citeshttps://doi.org/10.1016/j.robot.2024.104752openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0006-3495(81)84799-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0022-0728(81)80203-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0960-0779(98)00260-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.1503678openalex-snapshot
On Anticipatory and Nonanticipatory Properties in Stochastic Differential Systems
inferred← citeshttps://doi.org/10.1063/1.1617365openalex-snapshot
Multiplicative noise: A mechanism leading to nonextensive statistical mechanics
inferred← citeshttps://doi.org/10.1063/1.2929841openalex-snapshot
How noise statistics impact models of enzyme cycles
inferred← citeshttps://doi.org/10.1063/1.325769openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.447902openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/10420159008213065openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0031-8949/90/4/045202openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0034-4885/42/2/001openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0256-307x/27/6/060504openalex-snapshot
Effect of Correlated Noises in a Genetic Model
inferred← citeshttps://doi.org/10.1088/1367-2630/acec63openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/1742-5468/aa58a5openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/1742-6596/769/1/012026openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/1751-8121/aa79d4openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/11qy-2gc3openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreva.20.1628openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreva.25.2324openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreva.25.3389openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreva.26.1589openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreva.26.1676openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreva.37.3630openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreva.40.5966openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.107.044401openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.52.3366openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.60.1374openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.61.223openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.71.011106openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevlett.51.1062openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevlett.54.605openalex-snapshot
Comment on "Observation of a Noise-Induced Phase Transition with an Analog Simulator"
inferred← citeshttps://doi.org/10.1103/physrevlett.63.1527openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevlett.75.1691openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tac.1986.1104383openalex-snapshot
Vibrational control of nonlinear systems: Vibrational controllability and transient behavior
inferred← citeshttps://doi.org/10.1134/s0040577916080079openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/20m1315567openalex-snapshot
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inferred← citeshttps://doi.org/10.1140/epjb/e2010-00239-6openalex-snapshot
Two competing species in super-diffusive dynamical regimes
inferred← citeshttps://doi.org/10.1140/epjb/e2016-70138-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0217984917502566openalex-snapshot
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inferred← citeshttps://doi.org/10.1175/1520-0493(2004)132<0154:aioscm>2.0.co;2openalex-snapshot
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inferred← citeshttps://doi.org/10.1175/mwr3192.1openalex-snapshot
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inferred← citeshttps://doi.org/10.1177/1077546306069912openalex-snapshot
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inferred← citeshttps://doi.org/10.17815/cd.2020.70openalex-snapshot
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inferred← citeshttps://doi.org/10.21468/scipost.report.6050openalex-snapshot
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inferred← citeshttps://doi.org/10.21468/scipost.report.6158openalex-snapshot
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inferred← citeshttps://doi.org/10.21468/scipost.report.7275openalex-snapshot
Report on scipost_202302_00010v1
inferred← citeshttps://doi.org/10.21468/scipostphys.15.3.121openalex-snapshot
Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity
inferred← citeshttps://doi.org/10.3176/phys.math.2000.1.04openalex-snapshot
TRICHOTOMOUS-NOISE-INDUCED PHASE TRANSITIONS FOR THE STOCHASTIC HONGLER MODEL
inferred← citeshttps://doi.org/10.3390/e24030405openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/mbe.2020361openalex-snapshot
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inferred← citeshttps://doi.org/10.4213/tmf9094openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1905.02820openalex-snapshot
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