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Mathematical modelling. Theory and application. (English) Zbl 1522.34005

Contemporary Mathematics 787. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6965-8/pbk; 978-1-4704-7389-1/ebook). viii, 163 p. (2023).

MSC: 34-06 37-06 92-06 34A33 37C29 37H10 92D30 35B10 35B40 92B05 92C50 55P57 55U10 00B15

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Notarnicola, Massimo; Peccati, Giovanni; Vidotto, Anna

Functional convergence of Berry’s nodal lengths: approximate tightness and total disorder. (English) Zbl 1538.60073

J. Stat. Phys. 190, No. 5, Paper No. 97, 41 p. (2023).

MSC: 60G60 60F05 34L20 33C10

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Fadaei, Sara; Keller, Gerhard; Ghane, Fatemeh H.

Invariant Graphs for Chaotically Driven Maps. arXiv:1804.08370

Preprint, arXiv:1804.08370 [math.DS] (2018).

MSC: 37C70 37G30 37H99 34D06

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Min, Lequan; Yang, Xiuping; Chen, Guanrong; Wang, Danling

Some polynomial chaotic maps without equilibria and an application to image encryption with avalanche effects. (English) Zbl 1325.37033

Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 9, Article ID 1550124, 18 p. (2015).

MSC: 37H10 37C05 37F10 34D45 94A60 11K45

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Lamb, Jeroen S. W.; Rasmussen, Martin; Rodrigues, Christian S.

Topological bifurcations of minimal invariant sets for set-valued dynamical systems. (English) Zbl 1359.37118

Proc. Am. Math. Soc. 143, No. 9, 3927-3937 (2015).

MSC: 37H20 37G35 37C70 49K21 37B25 34A60

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Colonius, Fritz; Kliemann, Wolfgang

Dynamical systems and linear algebra. (English) Zbl 1306.37001

Graduate Studies in Mathematics 158. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8319-8/hbk). xv, 284 p. (2014).

Reviewer: Peter P. Zabreĭko (Minsk)

MSC: 37-01 34-01 93C05 15A99 34A30 39A06

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Frieze, Alan; Pittel, Boris

On a sparse random graph with minimum degree three: likely Pósa sets are large. (English) Zbl 1275.05051

J. Comb. 4, No. 2, 123-156 (2013).

MSC: 05C80 05C35 05C38 05C42 34E05 60C05

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Li, Ji; Lu, Kening; Bates, Peter

Normally hyperbolic invariant manifolds for random dynamical systems. I: Persistence. (English) Zbl 1291.37093

Trans. Am. Math. Soc. 365, No. 11, 5933-5966 (2013).

Reviewer: Helder Vilarinho (Covilhã)

MSC: 37H10 34F05 34C45 37D10 37D05

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Chekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong

Non-Markovian Reduced Systems for Stochastic Partial Differential Equations: The Additive Noise Case. arXiv:1311.3069

Preprint, arXiv:1311.3069 [math.AP] (2013).

MSC: 34F05 35B42 35R60 37D10 37L05 37L10 37L25 37L55 37L65 60H15

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Kloeden, Peter E.; Lorenz, Thomas

Stochastic morphological evolution equations. (English) Zbl 1230.35149

J. Differ. Equations 251, No. 10, 2950-2979 (2011).

Reviewer: Iulian Stoleriu (Iaşi)

MSC: 35R60 35R70 60H15 34G25 37H10 49J53 93B03

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Lu, Kening; Wang, Qiudong

Chaotic behavior in differential equations driven by a Brownian motion. (English) Zbl 1231.34080

J. Differ. Equations 251, No. 10, 2853-2895 (2011).

Reviewer: Andrew Dale (Durban)

MSC: 34C28 34C37 34F05 60J65 34C15

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Cheng, Haiyan; Sandu, Adrian

Efficient uncertainty quantification with the polynomial chaos method for stiff systems. (English) Zbl 1169.65005

Math. Comput. Simul. 79, No. 11, 3278-3295 (2009).

MSC: 65C30 60H10 60H35 65P20 65L60 34F05 37H10 37M25

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Baake, Michael; Baake, Ellen

Erratum to: “An exactly solved model for recombination, mutation and selection”. (English) Zbl 1231.92052

Can. J. Math. 60, No. 2, 264-265 (2008).

MSC: 92D15 37N25 60J99 92D10 34L30 06A07 37H99

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Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P.

Numerical recipes. The art of scientific computing. 3rd ed. (English) Zbl 1132.65001

Cambridge: Cambridge University Press (ISBN 978-0-521-88068-8/hbk; 978-0-511-33239-5/ebook). xxi, 1235 p. (2007).

Reviewer: Octavian Pastravanu (Iaşi)

MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx 15-04 33-04 34-04 35-04 41-04 42-04 62-04 62H30 65C10 65C99 65D18 65E05 65K05 65T40 68-04 68U05 90-04 68W30

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Forrester, P. J.; Witte, N. S.

Random matrix theory and the sixth Painlevé equation. (English) Zbl 1119.34070

J. Phys. A, Math. Gen. 39, No. 39, 12211-12233 (2006).

Reviewer: Andrei A. Kapaev (St. Petersburg)

MSC: 34M55 37F10 33C45 15B51

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Brzezniak, Zdzislaw; Li, Yuhong

Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains. (English) Zbl 1113.60062

Trans. Am. Math. Soc. 358, No. 12, 5587-5629 (2006).

Reviewer: Carles Rovira (Barcelona)

MSC: 60H15 35R60 37H10 34F05

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Arnold, Ludwig; Chueshov, Igor; Ochs, Gunter

Random dynamical systems methods in ship stability: a case study. (English) Zbl 1092.34028

Deuschel, Jean-Dominique (ed.) et al., Interacting stochastic systems. Berlin: Springer (ISBN 3-540-23033-5/hbk). 409-433 (2005).

Reviewer: Henri Schurz (Carbondale)

MSC: 34F05 37H10 37H15 37H20 60H10 70L05 93E15 34C60

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Tearne, O. M.

Boundary approximation of deterministic and random attractors. (English) Zbl 1079.37016

Nonlinearity 18, No. 5, 2011-2034 (2005).

MSC: 37C70 34D45 37D45 37H10

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Sabot, Christophe

Electrical networks, symplectic reductions, and application to the renormalization map of self-similar lattices. (English) Zbl 1066.37052

Lapidus, Michel L. (ed.) et al., Fractal geometry and applications: A jubilee of Benoît Mandelbrot. Analysis, number theory, and dynamical systems. In part the proceedings of a special session held during the annual meeting of the American Mathematical Society, San Diego, CA, USA, January 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3637-4/v.1; 0-8218-3292-1/set). Proceedings of Symposia in Pure Mathematics 72, Pt. 1, 155-205 (2004).

MSC: 37N20 34L20 37F10 32H50 53D20 37J15 28A80 37E20 82B44 78A25

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Spehner, D.

Spectral form factor of hyperbolic systems: Leading off-diagonal approximation. (English) Zbl 1040.37073

J. Phys. A, Math. Gen. 36, No. 26, 7269-7290 (2003).

MSC: 37N20 82B41 15B52 34C28 81Q20 37D05

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Forrester, P. J.; Witte, N. S.

Discrete Painlevé equations and random matrix averages. (English) Zbl 1071.15026

Nonlinearity 16, No. 6, 1919-1944 (2003).

MSC: 15B52 33E17 34M55 39A12 37F10

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E, Weinan; Vanden-Eijnden, Eric

A note on generalized flows. (English) Zbl 1042.34009

Physica D 183, No. 3-4, 159-174 (2003).

Reviewer: Henri Schurz (Carbondale)

MSC: 34A12 34A26 60G60 60B05 60H10 60H30 37C10

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Baake, Michael; Baake, Ellen

An exactly solved model for mutation, recombination and selection. (English) Zbl 1056.92040

Can. J. Math. 55, No. 1, 3-41 (2003); erratum ibid. 60, No. 2, 264-265 (2008).

MSC: 92D15 37N25 60J99 92D10 34L30 06A07 37H99

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Crauel, Hans

Random point attractors versus random set attractors. (English) Zbl 1011.37032

J. Lond. Math. Soc., II. Ser. 63, No. 2, 413-427 (2001).

MSC: 37H99 37C70 34D45 37C40 93E03

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Stadler, Peter F.; Fontana, Walter; Miller, John H.

Random catalytic reaction networks. (English) Zbl 0767.92001

Physica D 63, No. 3-4, 378-392 (1993).

MSC: 92B05 92B99 34C99 92C45 94C99

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Huppert, Bertram

Angewandte lineare Algebra. (Applied linear algebra). (German) Zbl 0697.15002

Berlin etc.: Walter de Gruyter. viii, 646 S. DM 198.00 (1990).

Reviewer: N.D.Sengupta

MSC: 15-02 34A30 60G50 39A10 83A05 90B22 92D25 51A05

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Ramis, Jean-Pierre

Gevrey index theorems for ordinary differential equations. (Théorèmes d’indices Gevrey pour les équations différentielles ordinaires.) (French) Zbl 0555.47020

Mem. Am. Math. Soc. 296, 95 p. (1984).

Reviewer: P.Metzger

MSC: 47B37 47E05 46F15 34M99 14F20 47-02 47L07 47L50 46F10 30B20 30D10 30D20 30F35 32A27 32A45 34A25 34A30

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Harrison, G. W.

Persistent sets via Lyapunov functions. (English) Zbl 0407.92020

Nonlinear Anal., Theory, Methods Appl. 3, 73-80 (1979).

MSC: 92D40 92D25 92B05 34D10 34D20

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Bajer, D.; Frejdlin, M. I.

Theorems on large deviations, and stability under random perturbations. (English. Russian original) Zbl 0415.60025

Sov. Math., Dokl. 18(1977), 905-909 (1978); translation from Dokl. Akad. Nauk SSSR 235, 253-256 (1977).

MSC: 60F10 34F05 60J60 93E15

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Found 29 Documents (Results 1–29)

Mathematical modelling. Theory and application. (English) Zbl 1522.34005

Functional convergence of Berry’s nodal lengths: approximate tightness and total disorder. (English) Zbl 1538.60073

Invariant Graphs for Chaotically Driven Maps. arXiv:1804.08370

Some polynomial chaotic maps without equilibria and an application to image encryption with avalanche effects. (English) Zbl 1325.37033

Topological bifurcations of minimal invariant sets for set-valued dynamical systems. (English) Zbl 1359.37118

Dynamical systems and linear algebra. (English) Zbl 1306.37001

On a sparse random graph with minimum degree three: likely Pósa sets are large. (English) Zbl 1275.05051

Normally hyperbolic invariant manifolds for random dynamical systems. I: Persistence. (English) Zbl 1291.37093

Non-Markovian Reduced Systems for Stochastic Partial Differential Equations: The Additive Noise Case. arXiv:1311.3069

Stochastic morphological evolution equations. (English) Zbl 1230.35149

Chaotic behavior in differential equations driven by a Brownian motion. (English) Zbl 1231.34080

Efficient uncertainty quantification with the polynomial chaos method for stiff systems. (English) Zbl 1169.65005

Erratum to: “An exactly solved model for recombination, mutation and selection”. (English) Zbl 1231.92052

Numerical recipes. The art of scientific computing. 3rd ed. (English) Zbl 1132.65001

Random matrix theory and the sixth Painlevé equation. (English) Zbl 1119.34070

Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains. (English) Zbl 1113.60062

Random dynamical systems methods in ship stability: a case study. (English) Zbl 1092.34028

Boundary approximation of deterministic and random attractors. (English) Zbl 1079.37016

Electrical networks, symplectic reductions, and application to the renormalization map of self-similar lattices. (English) Zbl 1066.37052

Spectral form factor of hyperbolic systems: Leading off-diagonal approximation. (English) Zbl 1040.37073

Discrete Painlevé equations and random matrix averages. (English) Zbl 1071.15026

A note on generalized flows. (English) Zbl 1042.34009

An exactly solved model for mutation, recombination and selection. (English) Zbl 1056.92040

Random point attractors versus random set attractors. (English) Zbl 1011.37032

Random catalytic reaction networks. (English) Zbl 0767.92001

Angewandte lineare Algebra. (Applied linear algebra). (German) Zbl 0697.15002

Gevrey index theorems for ordinary differential equations. (Théorèmes d’indices Gevrey pour les équations différentielles ordinaires.) (French) Zbl 0555.47020

Persistent sets via Lyapunov functions. (English) Zbl 0407.92020

Theorems on large deviations, and stability under random perturbations. (English. Russian original) Zbl 0415.60025

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