Wang, Bixiang Large deviation principles of stochastic reaction-diffusion lattice systems. (English) Zbl 07805432 Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1319-1343 (2024). MSC: 37L55 60F10 37L30 60H10 PDFBibTeX XMLCite \textit{B. Wang}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1319--1343 (2024; Zbl 07805432) Full Text: DOI arXiv
Qin, Xiaolan; Wang, Renhai Global well-posedness, mean attractors and invariant measures of generalized reversible Gray-Scott lattice systems driven by nonlinear noise. (English) Zbl 07783067 Appl. Math. Optim. 89, No. 1, Paper No. 5, 46 p. (2024). MSC: 49K40 60H40 37H10 35B41 35K57 35B40 35R60 PDFBibTeX XMLCite \textit{X. Qin} and \textit{R. Wang}, Appl. Math. Optim. 89, No. 1, Paper No. 5, 46 p. (2024; Zbl 07783067) Full Text: DOI
da Costa, Conrado; Freitas Paulo da Costa, Bernardo; Valesin, Daniel Reaction-diffusion models for a class of infinite-dimensional nonlinear stochastic differential equations. (English) Zbl 1516.60043 J. Theor. Probab. 36, No. 2, 1059-1087 (2023). Reviewer: Alexandra Rodkina (College Station) MSC: 60J25 60H10 60K35 82B20 35K57 PDFBibTeX XMLCite \textit{C. da Costa} et al., J. Theor. Probab. 36, No. 2, 1059--1087 (2023; Zbl 1516.60043) Full Text: DOI arXiv
Abdallah, Ahmed Y. Random uniform attractors for first order stochastic non-autonomous lattice systems. (English) Zbl 1516.34028 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 60, 29 p. (2023). MSC: 34A33 34F05 37C60 34D45 60H10 PDFBibTeX XMLCite \textit{A. Y. Abdallah}, Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 60, 29 p. (2023; Zbl 1516.34028) Full Text: DOI
Chen, Pengyu; Freitas, Mirelson M.; Zhang, Xuping Random attractor, invariant measures, and ergodicity of lattice \(p\)-Laplacian equations driven by superlinear noise. (English) Zbl 1522.37082 J. Geom. Anal. 33, No. 3, Paper No. 98, 46 p. (2023). Reviewer: Jonas M. Tölle (Aalto) MSC: 37L55 37L30 37L40 35K65 60H15 35R02 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Geom. Anal. 33, No. 3, Paper No. 98, 46 p. (2023; Zbl 1522.37082) Full Text: DOI
Zhou, Xinping; Li, Yong; Jiang, Xiaomeng Periodic solutions in distribution of stochastic lattice differential equations. (English) Zbl 1507.34012 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1300-1322 (2023). MSC: 34A33 34F05 60H10 34A45 34C25 47N20 PDFBibTeX XMLCite \textit{X. Zhou} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1300--1322 (2023; Zbl 1507.34012) Full Text: DOI
Ban, Ailing; Zhou, Kai Asymptotic behavior of solutions of a stochastic lattice systems. (Chinese. English summary) Zbl 07801231 Acta Math. Appl. Sin. 45, No. 6, 821-837 (2022). MSC: 35B40 37L50 60H15 PDFBibTeX XMLCite \textit{A. Ban} and \textit{K. Zhou}, Acta Math. Appl. Sin. 45, No. 6, 821--837 (2022; Zbl 07801231) Full Text: Link
Lin, Yusen; Li, Yayu; Li, Dingshi Periodic measures of impulsive stochastic neural networks lattice systems with delays. (English) Zbl 1509.37113 J. Math. Phys. 63, No. 12, Article ID 122702, 18 p. (2022). MSC: 37L55 37L60 60H10 37L30 60H15 PDFBibTeX XMLCite \textit{Y. Lin} et al., J. Math. Phys. 63, No. 12, Article ID 122702, 18 p. (2022; Zbl 1509.37113) Full Text: DOI
Yang, Shuang; Li, Yangrong; Caraballo, Tomás Dynamical stability of random delayed FitzHugh-Nagumo lattice systems driven by nonlinear Wong-Zakai noise. (English) Zbl 1508.37105 J. Math. Phys. 63, No. 11, Article ID 111512, 32 p. (2022). MSC: 37L60 37L55 37L30 60H15 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Math. Phys. 63, No. 11, Article ID 111512, 32 p. (2022; Zbl 1508.37105) Full Text: DOI
Bera, Abhijit; Banerjee, Soumitro Extreme event statistics in a map with singularity. (English) Zbl 1508.60056 Chaos Solitons Fractals 164, Article ID 112686, 6 p. (2022). MSC: 60G70 37M99 PDFBibTeX XMLCite \textit{A. Bera} and \textit{S. Banerjee}, Chaos Solitons Fractals 164, Article ID 112686, 6 p. (2022; Zbl 1508.60056) Full Text: DOI
Chan, Yue; Song, Ruidi; Lin, Rumiao; Cai, Daoju; Lee, Shern-Long Time-dependent Langevin modeling and Monte Carlo simulations of diffusion in one-dimensional ion channels. (English) Zbl 1498.92080 J. Math. Chem. 60, No. 9, 1725-1738 (2022). MSC: 92C40 35Q84 60H10 65C05 PDFBibTeX XMLCite \textit{Y. Chan} et al., J. Math. Chem. 60, No. 9, 1725--1738 (2022; Zbl 1498.92080) Full Text: DOI
Tabandeh, Armin; Sharma, Neetesh; Iannacone, Leandro; Gardoni, Paolo Numerical solution of the Fokker-Planck equation using physics-based mixture models. (English) Zbl 1507.65211 Comput. Methods Appl. Mech. Eng. 399, Article ID 115424, 21 p. (2022). MSC: 65M99 60H30 35Q84 PDFBibTeX XMLCite \textit{A. Tabandeh} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115424, 21 p. (2022; Zbl 1507.65211) Full Text: DOI
del Razo, Mauricio J.; Frömberg, Daniela; Straube, Arthur V.; Schütte, Christof; Höfling, Felix; Winkelmann, Stefanie A probabilistic framework for particle-based reaction-diffusion dynamics using classical Fock space representations. (English) Zbl 1489.60132 Lett. Math. Phys. 112, No. 3, Paper No. 49, 59 p. (2022). MSC: 60J60 60J70 70L99 92C45 PDFBibTeX XMLCite \textit{M. J. del Razo} et al., Lett. Math. Phys. 112, No. 3, Paper No. 49, 59 p. (2022; Zbl 1489.60132) Full Text: DOI arXiv
Yang, Shuang; Li, Yangrong Numerical attractors and approximations for stochastic or deterministic sine-Gordon lattice equations. (English) Zbl 1510.34118 Appl. Math. Comput. 413, Article ID 126640, 19 p. (2022). MSC: 34D45 34A33 37L60 37M22 60H15 35B41 37L30 35R60 PDFBibTeX XMLCite \textit{S. Yang} and \textit{Y. Li}, Appl. Math. Comput. 413, Article ID 126640, 19 p. (2022; Zbl 1510.34118) Full Text: DOI
Cáceres, Manuel O. Finite-velocity diffusion in the presence of a force. (English) Zbl 1519.82112 J. Phys. A, Math. Theor. 54, No. 11, Article ID 115002, 14 p. (2021). MSC: 82C44 76R50 60J60 PDFBibTeX XMLCite \textit{M. O. Cáceres}, J. Phys. A, Math. Theor. 54, No. 11, Article ID 115002, 14 p. (2021; Zbl 1519.82112) Full Text: DOI
She, Lianbing; Liu, Nan; Li, Xin; Wang, Renhai Three types of weak pullback attractors for lattice pseudo-parabolic equations driven by locally Lipschitz noise. (English) Zbl 1487.37092 Electron. Res. Arch. 29, No. 5, 3097-3119 (2021). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37L55 37L30 37L60 35B41 60H15 60H30 PDFBibTeX XMLCite \textit{L. She} et al., Electron. Res. Arch. 29, No. 5, 3097--3119 (2021; Zbl 1487.37092) Full Text: DOI
Wang, Xiaohu; Shen, Jun; Lu, Kening; Wang, Bixiang Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems. (English) Zbl 1462.37086 J. Differ. Equations 280, 477-516 (2021). MSC: 37L60 37L55 37L30 37L65 60H15 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Differ. Equations 280, 477--516 (2021; Zbl 1462.37086) Full Text: DOI
Chen, Yong-Cong; Shi, Chunxiao; Ao, Ping Global potential, topology, and pattern selection in a noisy stabilized Kuramoto-Sivashinsky equation. (English) Zbl 1485.60066 Proc. Natl. Acad. Sci. USA 117, No. 38, 23227-23234 (2020). MSC: 60H30 37H10 PDFBibTeX XMLCite \textit{Y.-C. Chen} et al., Proc. Natl. Acad. Sci. USA 117, No. 38, 23227--23234 (2020; Zbl 1485.60066) Full Text: DOI
Laha, Pradip; Lakshmibala, S.; Balakrishnan, V. Time-series and network analysis in quantum dynamics: comparison with classical dynamics. (English) Zbl 1462.81220 Int. J. Theor. Phys. 59, No. 11, 3476-3490 (2020). MSC: 81V80 74K15 70J35 62M10 34D08 60K20 PDFBibTeX XMLCite \textit{P. Laha} et al., Int. J. Theor. Phys. 59, No. 11, 3476--3490 (2020; Zbl 1462.81220) Full Text: DOI arXiv
Wang, Renhai; Wang, Bixiang Random dynamics of \(p\)-Laplacian lattice systems driven by infinite-dimensional nonlinear noise. (English) Zbl 1462.34036 Stochastic Processes Appl. 130, No. 12, 7431-7462 (2020). MSC: 34A33 34F05 34D45 37H30 60H10 PDFBibTeX XMLCite \textit{R. Wang} and \textit{B. Wang}, Stochastic Processes Appl. 130, No. 12, 7431--7462 (2020; Zbl 1462.34036) Full Text: DOI
Gaspard, Pierre Stochastic approach to entropy production in chemical chaos. (English) Zbl 1455.80009 Chaos 30, No. 11, 113103, 14 p. (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 80A32 60H10 65L06 PDFBibTeX XMLCite \textit{P. Gaspard}, Chaos 30, No. 11, 113103, 14 p. (2020; Zbl 1455.80009) Full Text: DOI arXiv
Deng, Qiqi; Zhou, Tianshou Memory-induced bifurcation and oscillations in the chemical Brusselator model. (English) Zbl 1448.80016 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050151, 14 p. (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 80A32 92E20 60J25 44A10 34C23 PDFBibTeX XMLCite \textit{Q. Deng} and \textit{T. Zhou}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050151, 14 p. (2020; Zbl 1448.80016) Full Text: DOI
Bessaih, Hakima; Garrido-Atienza, María J.; Köpp, Verena; Schmalfuß, Björn; Yang, Meihua Synchronization of stochastic lattice equations. (English) Zbl 1443.60033 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 4, Paper No. 36, 25 p. (2020). MSC: 60G10 37L55 37C75 37L99 PDFBibTeX XMLCite \textit{H. Bessaih} et al., NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 4, Paper No. 36, 25 p. (2020; Zbl 1443.60033) Full Text: DOI
Wang, Bixiang; Wang, Renhai Asymptotic behavior of stochastic Schrödinger lattice systems driven by nonlinear noise. (English) Zbl 1437.37102 Stochastic Anal. Appl. 38, No. 2, 213-237 (2020). MSC: 37L55 37L60 37K60 34F05 37L30 60H10 PDFBibTeX XMLCite \textit{B. Wang} and \textit{R. Wang}, Stochastic Anal. Appl. 38, No. 2, 213--237 (2020; Zbl 1437.37102) Full Text: DOI
Choutri, Salah Eddine; Djehiche, Boualem; Tembine, Hamidou Optimal control and zero-sum games for Markov chains of mean-field type. (English) Zbl 1427.60105 Math. Control Relat. Fields 9, No. 3, 571-605 (2019). MSC: 60H10 60H07 49N90 49K45 PDFBibTeX XMLCite \textit{S. E. Choutri} et al., Math. Control Relat. Fields 9, No. 3, 571--605 (2019; Zbl 1427.60105) Full Text: DOI arXiv
Choutri, Salah Eddine; Djehiche, Boualem Mean-field risk sensitive control and zero-sum games for Markov chains. (English) Zbl 1478.60175 Bull. Sci. Math. 152, 1-39 (2019). MSC: 60H10 60J27 49N90 PDFBibTeX XMLCite \textit{S. E. Choutri} and \textit{B. Djehiche}, Bull. Sci. Math. 152, 1--39 (2019; Zbl 1478.60175) Full Text: DOI arXiv
Liu, Yongjian; Wei, Zhouchao; Li, Chunbiao; Liu, Aimin; Li, Lijie Attractor and bifurcation of forced Lorenz-84 system. (English) Zbl 1418.60060 Int. J. Geom. Methods Mod. Phys. 16, No. 1, Article ID 1950002, 20 p. (2019). MSC: 60H10 34D23 34C27 34D45 34F05 PDFBibTeX XMLCite \textit{Y. Liu} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 1, Article ID 1950002, 20 p. (2019; Zbl 1418.60060) Full Text: DOI
Wei, Yongchang; Yang, Qigui Dynamics of the stochastic low concentration trimolecular oscillatory chemical system with jumps. (English) Zbl 07263353 Commun. Nonlinear Sci. Numer. Simul. 59, 396-408 (2018). MSC: 92E20 60G55 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{Q. Yang}, Commun. Nonlinear Sci. Numer. Simul. 59, 396--408 (2018; Zbl 07263353) Full Text: DOI
Mora, Fernando; Coullet, Pierre; Rica, Sergio; Tirapegui, Enrique Numerical path integral calculation of the probability function and exit time: an application to non-gradient drift forces. (English) Zbl 1425.82014 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2135, Article ID 20180027, 11 p. (2018). MSC: 82C31 60H35 PDFBibTeX XMLCite \textit{F. Mora} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2135, Article ID 20180027, 11 p. (2018; Zbl 1425.82014) Full Text: DOI Link
Choutri, Salah Eddine; Hamidou, Tembine A stochastic maximum principle for Markov chains of mean-field type. (English) Zbl 1407.49035 Games 9, No. 4, Paper No. 84, 21 p. (2018). MSC: 49K45 93E20 60J10 60H10 60H07 49N90 PDFBibTeX XMLCite \textit{S. E. Choutri} and \textit{T. Hamidou}, Games 9, No. 4, Paper No. 84, 21 p. (2018; Zbl 1407.49035) Full Text: DOI arXiv
Belopolskaya, Yana Stochastic models for forward systems of nonlinear parabolic equations. (English) Zbl 1408.60056 Stat. Pap. 59, No. 4, 1505-1519 (2018). MSC: 60H30 60H15 35K45 PDFBibTeX XMLCite \textit{Y. Belopolskaya}, Stat. Pap. 59, No. 4, 1505--1519 (2018; Zbl 1408.60056) Full Text: DOI
O’Regan, Suzanne M.; Burton, Danielle L. How stochasticity influences leading indicators of critical transitions. (English) Zbl 1396.92027 Bull. Math. Biol. 80, No. 6, 1630-1654 (2018). MSC: 92C42 34C23 60H30 PDFBibTeX XMLCite \textit{S. M. O'Regan} and \textit{D. L. Burton}, Bull. Math. Biol. 80, No. 6, 1630--1654 (2018; Zbl 1396.92027) Full Text: DOI
Mackay, R. S. Management of complex dynamical systems. (English) Zbl 1391.37062 Nonlinearity 31, No. 2, R52-R65 (2018). Reviewer: Liviu Goraş (Iaşi) MSC: 37N35 37F99 60J05 93E03 PDFBibTeX XMLCite \textit{R. S. Mackay}, Nonlinearity 31, No. 2, R52--R65 (2018; Zbl 1391.37062) Full Text: DOI Link
Malek Mansour, M.; Baras, F. Fluctuation theorem: a critical review. (English) Zbl 1388.60145 Chaos 27, No. 10, 104609, 11 p. (2017). MSC: 60J75 82B05 PDFBibTeX XMLCite \textit{M. Malek Mansour} and \textit{F. Baras}, Chaos 27, No. 10, 104609, 11 p. (2017; Zbl 1388.60145) Full Text: DOI
Duong, Manh Hong; Lamacz, Agnes; Peletier, Mark A.; Sharma, Upanshu Variational approach to coarse-graining of generalized gradient flows. (English) Zbl 1444.35107 Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 100, 65 p. (2017). MSC: 35K67 35B25 49S99 49J45 35K10 35K20 60F10 70F40 PDFBibTeX XMLCite \textit{M. H. Duong} et al., Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 100, 65 p. (2017; Zbl 1444.35107) Full Text: DOI arXiv
Bessaih, Hakima; Garrido-Atienza, María J.; Han, Xiaoying; Schmalfuss, Björn Stochastic lattice dynamical systems with fractional noise. (English) Zbl 1368.60065 SIAM J. Math. Anal. 49, No. 2, 1495-1518 (2017). Reviewer: Jan Pospíšil (Plzeň) MSC: 60H15 60G22 37L55 37K45 PDFBibTeX XMLCite \textit{H. Bessaih} et al., SIAM J. Math. Anal. 49, No. 2, 1495--1518 (2017; Zbl 1368.60065) Full Text: DOI arXiv
Pada Bera, Shyam; Maiti, Alakes; Samanta, Guruprasad Stochastic analysis of a prey-predator model with herd behaviour of prey. (English) Zbl 1416.92144 Nonlinear Anal., Model. Control 21, No. 3, 345-361 (2016). MSC: 92D25 92D40 60H10 PDFBibTeX XMLCite \textit{S. Pada Bera} et al., Nonlinear Anal., Model. Control 21, No. 3, 345--361 (2016; Zbl 1416.92144) Full Text: DOI
Zhao, Wenqiang; Zhang, Yijin Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space \(\ell_\rho^p\). (English) Zbl 1410.37054 Appl. Math. Comput. 291, 226-243 (2016). MSC: 37H10 35B41 37L30 37L60 60H10 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{Y. Zhang}, Appl. Math. Comput. 291, 226--243 (2016; Zbl 1410.37054) Full Text: DOI
Ramdani, Sofiane; Bouchara, Frédéric; Lagarde, Julien; Lesne, Annick Recurrence plots of discrete-time Gaussian stochastic processes. (English) Zbl 1373.37177 Physica D 330, 17-31 (2016). MSC: 37M10 60G15 94A17 PDFBibTeX XMLCite \textit{S. Ramdani} et al., Physica D 330, 17--31 (2016; Zbl 1373.37177) Full Text: DOI
Wang, Xiaohu; Lu, Kening; Wang, Bixiang Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise. (English) Zbl 1353.34101 J. Dyn. Differ. Equations 28, No. 3-4, 1309-1335 (2016). MSC: 34K50 34K31 34K20 37C60 34K13 60H10 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Dyn. Differ. Equations 28, No. 3--4, 1309--1335 (2016; Zbl 1353.34101) Full Text: DOI
Chen, Yong; Ge, Hao; Xiong, Jie; Xu, Lihu The large deviation principle and steady-state fluctuation theorem for the entropy production rate of a stochastic process in magnetic fields. (English) Zbl 1348.82068 J. Math. Phys. 57, No. 7, 073302, 16 p. (2016). Reviewer: Guy Jumarie (Montréal) MSC: 82C35 82C31 82C24 60F10 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Math. Phys. 57, No. 7, 073302, 16 p. (2016; Zbl 1348.82068) Full Text: DOI arXiv
Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. (English) Zbl 1329.60208 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 130, 255-278 (2016). MSC: 60H15 37H10 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 130, 255--278 (2016; Zbl 1329.60208) Full Text: DOI Link
Nair, Seema S. An overview of generalized gamma Mittag-Leffler model and its applications. (English) Zbl 1415.60017 Axioms 4, No. 3, 365-384 (2015). MSC: 60E05 PDFBibTeX XMLCite \textit{S. S. Nair}, Axioms 4, No. 3, 365--384 (2015; Zbl 1415.60017) Full Text: DOI
Bianca, C.; Lemarchand, A. Evaluation of reaction fluxes in stationary and oscillating far-from-equilibrium biological systems. (English) Zbl 1400.92006 Physica A 438, 1-16 (2015). MSC: 92B05 82C31 37N25 34C23 60J70 PDFBibTeX XMLCite \textit{C. Bianca} and \textit{A. Lemarchand}, Physica A 438, 1--16 (2015; Zbl 1400.92006) Full Text: DOI HAL
Han, Xiaoying Asymptotic dynamics of stochastic lattice differential equations: a review. (English) Zbl 1335.37033 Sadovnichiy, Viktor A. (ed.) et al., Continuous and distributed systems II. Theory and applications. Cham: Springer (ISBN 978-3-319-19074-7/hbk; 978-3-319-19075-4/ebook). Studies in Systems, Decision and Control 30, 121-136 (2015). MSC: 37H10 34F05 60H10 37L60 PDFBibTeX XMLCite \textit{X. Han}, Stud. Syst. Decis. Control 30, 121--136 (2015; Zbl 1335.37033) Full Text: DOI
Xu, Yong; Li, Yongge; Li, Juanjuan; Feng, Jing; Zhang, Huiqing The phase transition in a bistable Duffing system driven by Lévy noise. (English) Zbl 1317.82036 J. Stat. Phys. 158, No. 1, 120-131 (2015). MSC: 82C26 60H10 34F05 PDFBibTeX XMLCite \textit{Y. Xu} et al., J. Stat. Phys. 158, No. 1, 120--131 (2015; Zbl 1317.82036) Full Text: DOI
Gu, An-hui; Zhou, Sheng-fan; Jin, Qing-fei Random attractors for partly dissipative stochastic lattice dynamical systems with multiplicative white noises. (English) Zbl 1320.34021 Acta Math. Appl. Sin., Engl. Ser. 31, No. 2, 567-576 (2015). MSC: 34A33 34D45 60H15 34H05 PDFBibTeX XMLCite \textit{A.-h. Gu} et al., Acta Math. Appl. Sin., Engl. Ser. 31, No. 2, 567--576 (2015; Zbl 1320.34021) Full Text: DOI
Diana, Giovanni; Esposito, Massimiliano Mutual entropy production in bipartite systems. (English) Zbl 1456.82553 J. Stat. Mech. Theory Exp. 2014, No. 4, Paper No. P04010, 16 p. (2014). MSC: 82C05 60J20 60J28 82C41 PDFBibTeX XMLCite \textit{G. Diana} and \textit{M. Esposito}, J. Stat. Mech. Theory Exp. 2014, No. 4, Paper No. P04010, 16 p. (2014; Zbl 1456.82553) Full Text: DOI arXiv
Lucarini, Valerio; Faranda, Davide; Wouters, Jeroen; Kuna, Tobias Towards a general theory of extremes for observables of chaotic dynamical systems. (English) Zbl 1295.60068 J. Stat. Phys. 154, No. 3, 723-750 (2014). MSC: 60G70 37D25 58E17 37A50 PDFBibTeX XMLCite \textit{V. Lucarini} et al., J. Stat. Phys. 154, No. 3, 723--750 (2014; Zbl 1295.60068) Full Text: DOI arXiv
Goutsias, J.; Jenkinson, G. Markovian dynamics on complex reaction networks. (English) Zbl 1432.60075 Phys. Rep. 529, No. 2, 199-264 (2013). MSC: 60J28 60J70 82C32 92C42 PDFBibTeX XMLCite \textit{J. Goutsias} and \textit{G. Jenkinson}, Phys. Rep. 529, No. 2, 199--264 (2013; Zbl 1432.60075) Full Text: DOI arXiv
Frank, T. D. Strongly nonlinear stochastic processes in physics and the life sciences. (English) Zbl 1267.60111 ISRN Math. Phys. 2013, Article ID 149169, 28 p. (2013). MSC: 60K40 60J60 60H15 PDFBibTeX XMLCite \textit{T. D. Frank}, ISRN Math. Phys. 2013, Article ID 149169, 28 p. (2013; Zbl 1267.60111) Full Text: DOI
Das, Biswajit; Banerjee, Kinshuk; Gangopadhyay, Gautam Entropy production of a mechanically driven single oligomeric enzyme: a consequence of fluctuation theorem. (English) Zbl 1267.92041 J. Math. Chem. 51, No. 2, 588-602 (2013). MSC: 92C45 60J85 92-08 PDFBibTeX XMLCite \textit{B. Das} et al., J. Math. Chem. 51, No. 2, 588--602 (2013; Zbl 1267.92041) Full Text: DOI
Gu, Anhui; Wang, Zhaojuan; Zhou, Shengfan Random attractors for stochastic three-component reversible Gray-Scott system on infinite lattices. (English) Zbl 1284.37043 Discrete Dyn. Nat. Soc. 2012, Article ID 340789, 17 p. (2012). MSC: 37H10 60H25 PDFBibTeX XMLCite \textit{A. Gu} et al., Discrete Dyn. Nat. Soc. 2012, Article ID 340789, 17 p. (2012; Zbl 1284.37043) Full Text: DOI
Gu, Anhui Random attractors of stochastic three-component reversible Gray-Scott system on unbounded domains. (English) Zbl 1254.37038 Abstr. Appl. Anal. 2012, Article ID 419472, 22 p. (2012). Reviewer: Guy Jumarie (Montréal) MSC: 37H10 34F05 60H10 PDFBibTeX XMLCite \textit{A. Gu}, Abstr. Appl. Anal. 2012, Article ID 419472, 22 p. (2012; Zbl 1254.37038) Full Text: DOI
Gu, Anhui Random attractors for stochastic three-component reversible Gray-Scott system with multiplicative white noise. (English) Zbl 1252.60061 J. Appl. Math. 2012, Article ID 810198, 15 p. (2012). MSC: 60H15 37H10 35B41 35R60 PDFBibTeX XMLCite \textit{A. Gu}, J. Appl. Math. 2012, Article ID 810198, 15 p. (2012; Zbl 1252.60061) Full Text: DOI
Caraballo, Tomás; Morillas, F.; Valero, J. Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. (English) Zbl 1248.37045 J. Differ. Equations 253, No. 2, 667-693 (2012). Reviewer: Vladimir Răsvan (Craiova) MSC: 37H10 60H10 35B41 37L55 37B25 PDFBibTeX XMLCite \textit{T. Caraballo} et al., J. Differ. Equations 253, No. 2, 667--693 (2012; Zbl 1248.37045) Full Text: DOI
Basios, Vasileios; Mac Kernan, Dónal Symbolic dynamics, coarse graining and the monitoring of complex systems. (English) Zbl 1270.37011 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 12, 3465-3475 (2011). MSC: 37B10 37F99 60G60 PDFBibTeX XMLCite \textit{V. Basios} and \textit{D. Mac Kernan}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 12, 3465--3475 (2011; Zbl 1270.37011) Full Text: DOI
Chapeau-Blondeau, François; Delahaies, Agnès; Rousseau, David Tsallis entropy measure of noise-aided information transmission in a binary channel. (English) Zbl 1242.94013 Phys. Lett., A 375, No. 23, 2211-2219 (2011). MSC: 94A40 94A17 60H40 PDFBibTeX XMLCite \textit{F. Chapeau-Blondeau} et al., Phys. Lett., A 375, No. 23, 2211--2219 (2011; Zbl 1242.94013) Full Text: DOI
Faranda, Davide; Lucarini, Valerio; Turchetti, Giorgio; Vaienti, Sandro Numerical convergence of the block-maxima approach to the generalized extreme value distribution. (English) Zbl 1375.60097 J. Stat. Phys. 145, No. 5, 1156-1180 (2011). MSC: 60G70 60B10 PDFBibTeX XMLCite \textit{D. Faranda} et al., J. Stat. Phys. 145, No. 5, 1156--1180 (2011; Zbl 1375.60097) Full Text: DOI arXiv
Tabone, Michaelangelo; Ermentrout, Bard; Doiron, Brent Balancing organization and flexibility in foraging dynamics. (English) Zbl 1407.92153 J. Theor. Biol. 266, No. 3, 391-400 (2010). MSC: 92D50 92C42 60G50 PDFBibTeX XMLCite \textit{M. Tabone} et al., J. Theor. Biol. 266, No. 3, 391--400 (2010; Zbl 1407.92153) Full Text: DOI
Mei, Dong Cheng; Du, Lu Chun; Wang, Can Jun The effects of time delay on stochastic resonance in a bistable system with correlated noises. (English) Zbl 1190.82030 J. Stat. Phys. 137, No. 4, 625-638 (2009). Reviewer: Bassano Vacchini (Milano) MSC: 82C31 60H30 PDFBibTeX XMLCite \textit{D. C. Mei} et al., J. Stat. Phys. 137, No. 4, 625--638 (2009; Zbl 1190.82030) Full Text: DOI
Rohlf, Katrin Stochastic phase-space description for reactions that change particle numbers. (English) Zbl 1165.92044 J. Math. Chem. 45, No. 1, 141-160 (2009). MSC: 92E20 60K40 60J70 PDFBibTeX XMLCite \textit{K. Rohlf}, J. Math. Chem. 45, No. 1, 141--160 (2009; Zbl 1165.92044) Full Text: DOI
Caraballo, Tomás; Lu, Kening Attractors for stochastic lattice dynamical systems with a multiplicative noise. (English) Zbl 1155.60324 Front. Math. China 3, No. 3, 317-335 (2008). MSC: 60H15 34B45 PDFBibTeX XMLCite \textit{T. Caraballo} and \textit{K. Lu}, Front. Math. China 3, No. 3, 317--335 (2008; Zbl 1155.60324) Full Text: DOI Link
Nicolis, G.; Balakrishnan, V.; Nicolis, C. Probabilistic aspects of extreme events generated by periodic and quasiperiodic deterministic dynamics. (English) Zbl 1151.60026 Stoch. Dyn. 8, No. 1, 115-125 (2008). Reviewer: Michael Falk (Würzburg) MSC: 60G70 70K99 PDFBibTeX XMLCite \textit{G. Nicolis} et al., Stoch. Dyn. 8, No. 1, 115--125 (2008; Zbl 1151.60026) Full Text: DOI
Hutt, Axel; Longtin, Andre; Schimansky-Geier, Lutz Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift-Hohenberg equation. (English) Zbl 1152.92003 Physica D 237, No. 6, 755-773 (2008). Reviewer: Hans Crauel (Frankfurt) MSC: 92C15 45M99 92C20 92E20 60H30 80A30 80A32 PDFBibTeX XMLCite \textit{A. Hutt} et al., Physica D 237, No. 6, 755--773 (2008; Zbl 1152.92003) Full Text: DOI
Ge, Hao; Qian, Hong; Qian, Min Synchronized dynamics and non-equilibrium steady states in a stochastic yeast cell-cycle network. (English) Zbl 1130.92019 Math. Biosci. 211, No. 1, 132-152 (2008). MSC: 92C37 92C40 60J20 82D99 05C90 PDFBibTeX XMLCite \textit{H. Ge} et al., Math. Biosci. 211, No. 1, 132--152 (2008; Zbl 1130.92019) Full Text: DOI arXiv
Rosenfeld, Simon Stochastic cooperativity in nonlinear dynamics of genetic regulatory networks. (English) Zbl 1188.92012 Math. Biosci. 210, No. 1, 121-142 (2007). MSC: 92C42 92C40 60J99 PDFBibTeX XMLCite \textit{S. Rosenfeld}, Math. Biosci. 210, No. 1, 121--142 (2007; Zbl 1188.92012) Full Text: DOI
Wu, Bo; Zhang, Yu-Hui A class of multidimensional \(Q\)-processes. (English) Zbl 1133.60345 J. Appl. Probab. 44, No. 1, 226-237 (2007). MSC: 60J27 60J75 60J80 PDFBibTeX XMLCite \textit{B. Wu} and \textit{Y.-H. Zhang}, J. Appl. Probab. 44, No. 1, 226--237 (2007; Zbl 1133.60345) Full Text: DOI
Wang, Hongyun; Qian, Hong On detailed balance and reversibility of semi-Markov processes and single-molecule enzyme kinetics. (English) Zbl 1121.60090 J. Math. Phys. 48, No. 1, 013303, 15 p. (2007). MSC: 60K15 60K20 92C40 92E10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{H. Qian}, J. Math. Phys. 48, No. 1, 013303, 15 p. (2007; Zbl 1121.60090) Full Text: DOI Link
Ge, Hao; Jiang, Da-Quan; Qian, Min Reversibility and entropy production of inhomogeneous Markov chains. (English) Zbl 1133.60343 J. Appl. Probab. 43, No. 4, 1028-1043 (2006). MSC: 60J27 82C31 82C70 PDFBibTeX XMLCite \textit{H. Ge} et al., J. Appl. Probab. 43, No. 4, 1028--1043 (2006; Zbl 1133.60343) Full Text: DOI
Ge, Hao; Jiang, Daquan; Qian, Min A simple discrete model of Brownian motors: time-periodic Markov chains. (English) Zbl 1194.60047 J. Stat. Phys. 123, No. 4, 831-859 (2006). Reviewer: Guy Jumarie (Montréal) MSC: 60J10 82C31 PDFBibTeX XMLCite \textit{H. Ge} et al., J. Stat. Phys. 123, No. 4, 831--859 (2006; Zbl 1194.60047) Full Text: DOI
Bates, Peter W.; Lisei, Hannelore; Lu, Kening Attractors for stochastic lattice dynamical systems. (English) Zbl 1105.60041 Stoch. Dyn. 6, No. 1, 1-21 (2006). Reviewer: Alexander Yu. Veretennikov (Leeds) MSC: 60H15 PDFBibTeX XMLCite \textit{P. W. Bates} et al., Stoch. Dyn. 6, No. 1, 1--21 (2006; Zbl 1105.60041) Full Text: DOI
Lv, Yan; Sun, Jianhua Dynamical behavior for stochastic lattice systems. (English) Zbl 1134.37350 Chaos Solitons Fractals 27, No. 4, 1080-1090 (2006). MSC: 37H99 34F05 37L60 60H10 PDFBibTeX XMLCite \textit{Y. Lv} and \textit{J. Sun}, Chaos Solitons Fractals 27, No. 4, 1080--1090 (2006; Zbl 1134.37350) Full Text: DOI
Chen, Wei-Yin; Bokka, Sankar Stochastic modeling of nonlinear epidemiology. (English) Zbl 1445.92267 J. Theor. Biol. 234, No. 4, 455-470 (2005). MSC: 92D30 60H30 PDFBibTeX XMLCite \textit{W.-Y. Chen} and \textit{S. Bokka}, J. Theor. Biol. 234, No. 4, 455--470 (2005; Zbl 1445.92267) Full Text: DOI
Nicolis, G.; Cantú, A. García; Nicolis, C. Dynamical aspects of interaction networks. (English) Zbl 1097.37059 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 11, 3467-3480 (2005). MSC: 37N99 37H99 60H10 82C05 68T05 37A50 PDFBibTeX XMLCite \textit{G. Nicolis} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 11, 3467--3480 (2005; Zbl 1097.37059) Full Text: DOI
Gaveau, B.; Schulman, L. S. Dynamical distance: coarse grains, pattern recognition, and network analysis. (English) Zbl 1093.82013 Bull. Sci. Math. 129, No. 8, 631-642 (2005). MSC: 82C05 90B15 60J10 PDFBibTeX XMLCite \textit{B. Gaveau} and \textit{L. S. Schulman}, Bull. Sci. Math. 129, No. 8, 631--642 (2005; Zbl 1093.82013) Full Text: DOI
Dawson, Donald A.; Tang, Jiashan; Zhao, Yiqiang Q. Balancing queues by mean field interaction. (English) Zbl 1080.90026 Queueing Syst. 49, No. 3-4, 335-361 (2005). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{D. A. Dawson} et al., Queueing Syst. 49, No. 3--4, 335--361 (2005; Zbl 1080.90026) Full Text: DOI
Jin, Yongdong; Xu, Jiuping; Zhang, Wenhua; Luo, Jiuli; Xu, Qiwang Simulation of biological waves in single-species bacillus system governed by birth and death-diffusion dynamical equation. (English) Zbl 1062.92023 Math. Comput. Simul. 68, No. 4, 317-327 (2005). MSC: 92C37 35Q92 37N25 60J85 PDFBibTeX XMLCite \textit{Y. Jin} et al., Math. Comput. Simul. 68, No. 4, 317--327 (2005; Zbl 1062.92023) Full Text: DOI
El-Gohary, A. Optimal control of stochastic lattice of prey-predator models. (English) Zbl 1055.92041 Appl. Math. Comput. 160, No. 1, 15-28 (2005). MSC: 92D25 49N90 60K35 92D40 82D99 PDFBibTeX XMLCite \textit{A. El-Gohary}, Appl. Math. Comput. 160, No. 1, 15--28 (2005; Zbl 1055.92041) Full Text: DOI
Nicolis, S. C. Fluctuation-induced symmetry breaking in a bistable system: a generic mechanism of selection between competing options. (English) Zbl 1060.92047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 7, 2399-2405 (2004). MSC: 92D15 92D40 60G35 PDFBibTeX XMLCite \textit{S. C. Nicolis}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 7, 2399--2405 (2004; Zbl 1060.92047) Full Text: DOI
Frank, T. D. Dynamic mean field models: H-theorem for stochastic processes and basins of attraction of stationary processes. (English) Zbl 1098.82610 Physica D 195, No. 3-4, 229-243 (2004). MSC: 82C31 60H15 37A50 PDFBibTeX XMLCite \textit{T. D. Frank}, Physica D 195, No. 3--4, 229--243 (2004; Zbl 1098.82610) Full Text: DOI
Jiang, Da-Quan; Zhang, Fu-Xi The Green-Kubo formula and power spectrum of reversible Markov processes. (English) Zbl 1062.82042 J. Math. Phys. 44, No. 10, 4681-4689 (2003). MSC: 82C31 60J25 PDFBibTeX XMLCite \textit{D.-Q. Jiang} and \textit{F.-X. Zhang}, J. Math. Phys. 44, No. 10, 4681--4689 (2003; Zbl 1062.82042) Full Text: DOI
Bandyopadhyay, Malay; Chakrabarti, C. G. Deterministic and stochastic analysis of a nonlinear prey-predator system. (English) Zbl 1054.92044 J. Biol. Syst. 11, No. 2, 161-172 (2003). MSC: 92D40 37N25 60H10 92D25 34C23 PDFBibTeX XMLCite \textit{M. Bandyopadhyay} and \textit{C. G. Chakrabarti}, J. Biol. Syst. 11, No. 2, 161--172 (2003; Zbl 1054.92044) Full Text: DOI
Bazzani, Armando; Giorgini, Bruno; Servizi, Graziano; Turchetti, Giorgio A chronotopic model of mobility in urban spaces. (English) Zbl 1029.90503 Physica A 325, No. 3-4, 517-530 (2003). MSC: 90B20 90B06 60J65 91D10 PDFBibTeX XMLCite \textit{A. Bazzani} et al., Physica A 325, No. 3--4, 517--530 (2003; Zbl 1029.90503) Full Text: DOI
Grössing, Gerhard Quantum cybernetics: a new perspective for Nelson’s stochastic theory, nonlocality, and the Klein-Gordon equation. (English) Zbl 1039.81517 Phys. Lett., A 296, No. 1, 1-8 (2002). MSC: 81Q05 60J65 PDFBibTeX XMLCite \textit{G. Grössing}, Phys. Lett., A 296, No. 1, 1--8 (2002; Zbl 1039.81517) Full Text: DOI arXiv
Huillet, Thierry; Raynaud, Henri-François On rare and extreme events. (English) Zbl 1019.60044 Chaos Solitons Fractals 12, No. 5, 823-844 (2001). Reviewer: J.Galambos (Philadelphia) MSC: 60G55 PDFBibTeX XMLCite \textit{T. Huillet} and \textit{H.-F. Raynaud}, Chaos Solitons Fractals 12, No. 5, 823--844 (2001; Zbl 1019.60044) Full Text: DOI
Yukalov, V. I. Probabilistic approach to pattern selection. (English) Zbl 0972.60043 Physica A 291, No. 1-4, 255-274 (2001). MSC: 60H10 PDFBibTeX XMLCite \textit{V. I. Yukalov}, Physica A 291, No. 1--4, 255--274 (2001; Zbl 0972.60043) Full Text: DOI arXiv
Perrut, Anne Hydrodynamic limits for a two-species reaction-diffusion process. (English) Zbl 1171.60394 Ann. Appl. Probab. 10, No. 1, 163-191 (2000). MSC: 60K35 82C22 PDFBibTeX XMLCite \textit{A. Perrut}, Ann. Appl. Probab. 10, No. 1, 163--191 (2000; Zbl 1171.60394) Full Text: DOI
Papers from the UK dynamics days conference, Edinburgh, UK, June 28–July 1, 1998. (English) Zbl 0929.00043 Dyn. Stab. Syst. 14, No. 3, 211-331 (1999). MSC: 00B25 34-06 37-06 60-06 PDFBibTeX XMLCite Dyn. Stab. Syst. 14, No. 3, 211--331 (1999; Zbl 0929.00043) Full Text: DOI
Soloviev, I. A. Stochastic wave equation simulating the behavior of random variables whose mean values obey a system random variables whose mean values obey a system of first-order ordinary differential equations. (English. Russian original) Zbl 0978.82511 Theor. Math. Phys. 111, No. 3, 676-685 (1997); translation from Teor. Mat. Fiz. 111, No. 3, 356-368 (1997). MSC: 82C31 60H10 PDFBibTeX XMLCite \textit{I. A. Soloviev}, Theor. Math. Phys. 111, No. 3, 676--685 (1997; Zbl 0978.82511); translation from Teor. Mat. Fiz. 111, No. 3, 356--368 (1997) Full Text: DOI
Chen, Xiong; Feng, Shui Critical phenomenon of a two component nonlinear stochastic system. (English) Zbl 0862.60025 Stat. Probab. Lett. 30, No. 2, 147-155 (1996). MSC: 60F99 60K99 PDFBibTeX XMLCite \textit{X. Chen} and \textit{S. Feng}, Stat. Probab. Lett. 30, No. 2, 147--155 (1996; Zbl 0862.60025) Full Text: DOI
Gaveau, Bernard; Moreau, Michel; Toth, Janos Decay of the metastable state in a chemical system: Different predictions between discrete and continuous models. (English) Zbl 0856.60079 Lett. Math. Phys. 37, No. 3, 285-292 (1996). MSC: 60J70 80A30 35R60 PDFBibTeX XMLCite \textit{B. Gaveau} et al., Lett. Math. Phys. 37, No. 3, 285--292 (1996; Zbl 0856.60079) Full Text: DOI
Feng, Shui Nonlinear master equation of multitype particle systems. (English) Zbl 0821.60098 Stochastic Processes Appl. 57, No. 2, 247-271 (1995). MSC: 60K35 60J25 PDFBibTeX XMLCite \textit{S. Feng}, Stochastic Processes Appl. 57, No. 2, 247--271 (1995; Zbl 0821.60098) Full Text: DOI
Chernov, A. I. Limit theorems and Markov approximations for chaotic dynamical systems. (English) Zbl 0839.60025 Probab. Theory Relat. Fields 101, No. 3, 321-362 (1995). Reviewer: A.Földes (Staten Island) MSC: 60F05 28D05 37A99 37D99 60F17 PDFBibTeX XMLCite \textit{A. I. Chernov}, Probab. Theory Relat. Fields 101, No. 3, 321--362 (1995; Zbl 0839.60025) Full Text: DOI
Balakrishnan, V.; Nicolis, C.; Nicolis, G. Extreme value distributions in chaotic dynamics. (English) Zbl 1081.60528 J. Stat. Phys. 80, No. 1-2, 307-336 (1995). MSC: 60G70 PDFBibTeX XMLCite \textit{V. Balakrishnan} et al., J. Stat. Phys. 80, No. 1--2, 307--336 (1995; Zbl 1081.60528) Full Text: DOI
Daems, D.; Nicolis, G. Probabilistic approach to homoclinic chaos. (English) Zbl 0840.58032 J. Stat. Phys. 76, No. 5-6, 1287-1305 (1994). MSC: 37C70 37D45 60H05 PDFBibTeX XMLCite \textit{D. Daems} and \textit{G. Nicolis}, J. Stat. Phys. 76, No. 5--6, 1287--1305 (1994; Zbl 0840.58032) Full Text: DOI
Feng, Shui Large deviations for Markov processes with mean field interaction and unbounded jumps. (English) Zbl 0814.60024 Probab. Theory Relat. Fields 100, No. 2, 227-252 (1994). Reviewer: J.Steinebach (Marburg) MSC: 60F10 60J75 60K35 82C26 PDFBibTeX XMLCite \textit{S. Feng}, Probab. Theory Relat. Fields 100, No. 2, 227--252 (1994; Zbl 0814.60024) Full Text: DOI
Breuer, H. P.; Huber, W.; Petruccione, F. Fluctuation effects on wave propagation in a reaction-diffusion process. (English) Zbl 0827.35057 Physica D 73, No. 3, 259-273 (1994). Reviewer: P.Kröger (Erlangen) MSC: 35K57 60J60 60K35 PDFBibTeX XMLCite \textit{H. P. Breuer} et al., Physica D 73, No. 3, 259--273 (1994; Zbl 0827.35057) Full Text: DOI
Wackerbauer, R.; Witt, A.; Atmanspacher, H.; Kurths, J.; Scheingraber, H. A comparative classification of complexity measures. (English) Zbl 0793.60118 Chaos Solitons Fractals 4, No. 1, 133-173 (1994). MSC: 60K40 PDFBibTeX XMLCite \textit{R. Wackerbauer} et al., Chaos Solitons Fractals 4, No. 1, 133--173 (1994; Zbl 0793.60118) Full Text: DOI
MacKernan, D. Sensitive response to time dependent perturbations and spectral properties of deterministic chaos. (English) Zbl 0793.60122 Chaos Solitons Fractals 4, No. 1, 59-68 (1994). MSC: 60K99 37D45 PDFBibTeX XMLCite \textit{D. MacKernan}, Chaos Solitons Fractals 4, No. 1, 59--68 (1994; Zbl 0793.60122) Full Text: DOI