Li, Risong; Lu, Tianxiu; Chen, Guanrong; Liu, Guo Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps. (English) Zbl 07309673 J. Math. Anal. Appl. 494, No. 1, Article ID 124443, 14 p. (2021). MSC: 37 PDF BibTeX XML Cite \textit{R. Li} et al., J. Math. Anal. Appl. 494, No. 1, Article ID 124443, 14 p. (2021; Zbl 07309673) Full Text: DOI
Kulik, Alexei; Scheutzow, Michael Well-posedness, stability and sensitivities for stochastic delay equations: a generalized coupling approach. (English) Zbl 07276947 Ann. Probab. 48, No. 6, 3041-3076 (2020). MSC: 34K50 60H25 60J25 PDF BibTeX XML Cite \textit{A. Kulik} and \textit{M. Scheutzow}, Ann. Probab. 48, No. 6, 3041--3076 (2020; Zbl 07276947) Full Text: DOI Euclid
Devraj, Adithya; Kontoyiannis, Ioannis; Meyn, Sean Geometric ergodicity in a weighted Sobolev space. (English) Zbl 07206762 Ann. Probab. 48, No. 1, 380-403 (2020). MSC: 60J05 60J35 37A30 47A35 47H20 PDF BibTeX XML Cite \textit{A. Devraj} et al., Ann. Probab. 48, No. 1, 380--403 (2020; Zbl 07206762) Full Text: DOI Euclid
Li, Risong; Lu, Tianxiu; Waseem, Anwar Sensitivity and transitivity of systems satisfying the large deviations theorem in a sequence. (English) Zbl 1435.37016 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 9, Article ID 1950125, 9 p. (2019). MSC: 37A50 37C40 37A25 60E10 PDF BibTeX XML Cite \textit{R. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 9, Article ID 1950125, 9 p. (2019; Zbl 1435.37016) Full Text: DOI
Liu, Kairan; Zhou, Xiaomin Auslander-Yorke type dichotomy theorems for stronger versions of \(r\)-sensitivity. (English) Zbl 1417.37061 Proc. Am. Math. Soc. 147, No. 6, 2609-2617 (2019). MSC: 37B05 54H20 28D99 PDF BibTeX XML Cite \textit{K. Liu} and \textit{X. Zhou}, Proc. Am. Math. Soc. 147, No. 6, 2609--2617 (2019; Zbl 1417.37061) Full Text: DOI
García-Ramos, Felipe; Marcus, Brian Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems. (English) Zbl 1409.37037 Discrete Contin. Dyn. Syst. 39, No. 2, 729-746 (2019). MSC: 37C85 37A05 37A25 37A35 37B05 PDF BibTeX XML Cite \textit{F. García-Ramos} and \textit{B. Marcus}, Discrete Contin. Dyn. Syst. 39, No. 2, 729--746 (2019; Zbl 1409.37037) Full Text: DOI
Porretta, Alessio On the turnpike property for mean field games. (English) Zbl 1406.49025 Minimax Theory Appl. 3, No. 2, 285-312 (2018). MSC: 49K40 91A15 93B18 PDF BibTeX XML Cite \textit{A. Porretta}, Minimax Theory Appl. 3, No. 2, 285--312 (2018; Zbl 1406.49025) Full Text: Link
Vasisht, Radhika; Das, Ruchi On stronger forms of sensitivity in non-autonomous systems. (English) Zbl 1403.54024 Taiwanese J. Math. 22, No. 5, 1139-1159 (2018). Reviewer: Mihai Turinici (Iaşi) MSC: 54H20 37B55 PDF BibTeX XML Cite \textit{R. Vasisht} and \textit{R. Das}, Taiwanese J. Math. 22, No. 5, 1139--1159 (2018; Zbl 1403.54024) Full Text: DOI Euclid
Li, Risong Several sufficient conditions for a map and a semi-flow to be ergodically sensitive. (English) Zbl 1387.37005 Dyn. Syst. 33, No. 2, 348-360 (2018). MSC: 37A05 37A25 54H20 28D05 PDF BibTeX XML Cite \textit{R. Li}, Dyn. Syst. 33, No. 2, 348--360 (2018; Zbl 1387.37005) Full Text: DOI
Wu, Xinxing; Ma, Xin; Zhu, Zhu; Lu, Tianxiu Topological ergodic shadowing and chaos on uniform spaces. (English) Zbl 1387.37007 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1850043, 9 p. (2018). MSC: 37A25 37B10 PDF BibTeX XML Cite \textit{X. Wu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1850043, 9 p. (2018; Zbl 1387.37007) Full Text: DOI
Wang, Xiong; Wu, Xinxing; Chen, Guanrong Sufficient conditions for ergodic sensitivity. (English) Zbl 1412.54044 J. Nonlinear Sci. Appl. 10, No. 7, 3404-3408 (2017). MSC: 54H20 74H65 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Nonlinear Sci. Appl. 10, No. 7, 3404--3408 (2017; Zbl 1412.54044) Full Text: DOI
García-Ramos, Felipe Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy. (English) Zbl 1366.37019 Ergodic Theory Dyn. Syst. 37, No. 4, 1211-1237 (2017). MSC: 37B05 37B20 37B40 37A25 PDF BibTeX XML Cite \textit{F. García-Ramos}, Ergodic Theory Dyn. Syst. 37, No. 4, 1211--1237 (2017; Zbl 1366.37019) Full Text: DOI arXiv
Yin, Jiandong; Zhang, Cuiyun Some necessary and sufficient conditions for the \(m\)-syndetic sensitivity of the limit of a sequence of strongly convergent maps. (Chinese. English summary) Zbl 1363.54009 J. Nanchang Univ., Nat. Sci. 40, No. 2, 103-106 (2016). MSC: 54A20 54H20 PDF BibTeX XML Cite \textit{J. Yin} and \textit{C. Zhang}, J. Nanchang Univ., Nat. Sci. 40, No. 2, 103--106 (2016; Zbl 1363.54009) Full Text: DOI
Li, Jian Measure-theoretic sensitivity via finite partitions. (English) Zbl 1346.37005 Nonlinearity 29, No. 7, 2133-2144 (2016). MSC: 37A05 37A35 PDF BibTeX XML Cite \textit{J. Li}, Nonlinearity 29, No. 7, 2133--2144 (2016; Zbl 1346.37005) Full Text: DOI arXiv
Wu, Xinxing; Chen, Guanrong On the large deviations theorem and ergodicity. (English) Zbl 07246174 Commun. Nonlinear Sci. Numer. Simul. 30, No. 1-3, 243-247 (2015). MSC: 37 60 PDF BibTeX XML Cite \textit{X. Wu} and \textit{G. Chen}, Commun. Nonlinear Sci. Numer. Simul. 30, No. 1--3, 243--247 (2015; Zbl 07246174) Full Text: DOI
Niu, Yingxuan; Su, Shoubao; Zhou, Benda Strong sensitivity of systems satisfying the large deviations theorem. (English) Zbl 1332.54203 Int. J. Gen. Syst. 44, No. 1, 98-105 (2015). MSC: 54H20 PDF BibTeX XML Cite \textit{Y. Niu} et al., Int. J. Gen. Syst. 44, No. 1, 98--105 (2015; Zbl 1332.54203) Full Text: DOI
Wu, Xinxing; Chen, Guanrong Central limit theorem and chaoticity. (English) Zbl 1298.54024 Stat. Probab. Lett. 92, 137-142 (2014). Reviewer: Jian Li (Shantou) MSC: 54H20 37B99 37D45 37B20 37B40 34C28 PDF BibTeX XML Cite \textit{X. Wu} and \textit{G. Chen}, Stat. Probab. Lett. 92, 137--142 (2014; Zbl 1298.54024) Full Text: DOI
Wang, Qiqi Convergence of the least squares shadowing method for computing derivative of ergodic averages. (English) Zbl 1291.37106 SIAM J. Numer. Anal. 52, No. 1, 156-170 (2014). MSC: 37M25 37C50 PDF BibTeX XML Cite \textit{Q. Wang}, SIAM J. Numer. Anal. 52, No. 1, 156--170 (2014; Zbl 1291.37106) Full Text: DOI arXiv
Wang, Qiqi Forward and adjoint sensitivity computation of chaotic dynamical systems. (English) Zbl 1291.37107 J. Comput. Phys. 235, 1-13 (2013). MSC: 37M25 37D45 34C28 PDF BibTeX XML Cite \textit{Q. Wang}, J. Comput. Phys. 235, 1--13 (2013; Zbl 1291.37107) Full Text: DOI arXiv
Li, Jian; Oprocha, Piotr Shadowing property, weak mixing and regular recurrence. (English) Zbl 1294.37006 J. Dyn. Differ. Equations 25, No. 4, 1233-1249 (2013). Reviewer: Dominik Kwietniak (Krakow) MSC: 37B05 37C50 37B40 37C40 PDF BibTeX XML Cite \textit{J. Li} and \textit{P. Oprocha}, J. Dyn. Differ. Equations 25, No. 4, 1233--1249 (2013; Zbl 1294.37006) Full Text: DOI arXiv
Li, Risong The large deviations theorem and ergodic sensitivity. (English) Zbl 1258.37021 Commun. Nonlinear Sci. Numer. Simul. 18, No. 4, 819-825 (2013). MSC: 37B99 37A25 37E25 60F10 PDF BibTeX XML Cite \textit{R. Li}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 4, 819--825 (2013; Zbl 1258.37021) Full Text: DOI
Barrio Blaya, Alejo; Jiménez López, Víctor On the relations between positive Lyapunov exponents, positive entropy, and sensitivity for interval maps. (English) Zbl 1243.37031 Discrete Contin. Dyn. Syst. 32, No. 2, 433-466 (2012). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37A05 37A25 37A35 37D25 37D45 PDF BibTeX XML Cite \textit{A. Barrio Blaya} and \textit{V. Jiménez López}, Discrete Contin. Dyn. Syst. 32, No. 2, 433--466 (2012; Zbl 1243.37031) Full Text: DOI
Kůrka, Petr Topological and symbolic dynamics. (English) Zbl 1038.37011 Cours Spécialisés (Paris) 11. Paris: Société Mathématique de France (ISBN 2-85629-143-0/pbk). xii, 315 p. (2003). Reviewer: Jose S. Canovas (Cartagena) MSC: 37B10 37B15 37B05 37-01 PDF BibTeX XML Cite \textit{P. Kůrka}, Topological and symbolic dynamics. Paris: Société Mathématique de France (2003; Zbl 1038.37011)
Costa, O. L. V.; Guerra, S. Robust linear filtering for discrete-time hybrid Markov linear systems. (English) Zbl 1018.93028 Int. J. Control 75, No. 10, 712-727 (2002). Reviewer: Grigori Milstein (Berlin) MSC: 93E11 93B35 PDF BibTeX XML Cite \textit{O. L. V. Costa} and \textit{S. Guerra}, Int. J. Control 75, No. 10, 712--727 (2002; Zbl 1018.93028) Full Text: DOI
Grüne, Lars Asymptotic behavior of dynamical and control systems under perturbation and discretization. (English) Zbl 0991.37001 Lecture Notes in Mathematics. 1783. Berlin: Springer. ix, 231 p. (2002). Reviewer: Fritz Colonius (Augsburg) MSC: 37-02 93-02 65P40 37B25 93D30 93B05 93B35 49L25 PDF BibTeX XML Cite \textit{L. Grüne}, Asymptotic behavior of dynamical and control systems under perturbation and discretization. Berlin: Springer (2002; Zbl 0991.37001) Full Text: DOI Link
Abraham, Christophe; Biau, Gérard; Cadre, Benoît Chaotic properties of mappings on a probability space. (English) Zbl 1097.37034 J. Math. Anal. Appl. 266, No. 2, 420-431 (2002). MSC: 37E10 37B25 37D45 37A30 PDF BibTeX XML Cite \textit{C. Abraham} et al., J. Math. Anal. Appl. 266, No. 2, 420--431 (2002; Zbl 1097.37034) Full Text: DOI
Tsallis, C.; Plastino, A. R.; Zheng, W.-M. Power-law sensitivity to initial conditions—new entropic representation. (English) Zbl 0933.37049 Chaos Solitons Fractals 8, No. 6, 885-891 (1997). MSC: 37D45 37A35 37B10 37D25 PDF BibTeX XML Cite \textit{C. Tsallis} et al., Chaos Solitons Fractals 8, No. 6, 885--891 (1997; Zbl 0933.37049) Full Text: DOI
Pflug, G. Ch. Coupling, ergodicity and sensitivity of Markov processes. (English) Zbl 0903.60051 Yin, G. George (ed.) et al., Mathematics of stochastic manufacturing systems. AMS-SIAM summer seminar in applied mathematics. June 17–22, 1996. Williamsburg, VA, USA. Providence, RI: AMS, American Mathematical Society. Lect. Appl. Math. 33, 219-233 (1997). Reviewer: E.Slud (College Park) MSC: 60J05 65Cxx PDF BibTeX XML Cite \textit{G. Ch. Pflug}, in: Mathematics of stochastic manufacturing systems. AMS-SIAM summer seminar in applied mathematics. June 17--22, 1996. Williamsburg, VA, USA. Providence, RI: AMS, American Mathematical Society. 219--233 (1997; Zbl 0903.60051)
Miyoshi, Naoto Smoothed perturbation analysis for stationary single-server queues with multiple customer classes. (English) Zbl 0884.90089 Discrete Event Dyn. Syst. 7, No. 3, 275-293 (1997). MSC: 90B22 60K25 93B35 93C30 PDF BibTeX XML Cite \textit{N. Miyoshi}, Discrete Event Dyn. Syst. 7, No. 3, 275--293 (1997; Zbl 0884.90089) Full Text: DOI
Atar, Rami; Zeitouni, Ofer Lyapunov exponents for finite state nonlinear filtering. (English) Zbl 0940.93073 SIAM J. Control Optimization 35, No. 1, 36-55 (1997). Reviewer: F.Colonius (Augsburg) MSC: 93E11 60J57 34D08 93B35 PDF BibTeX XML Cite \textit{R. Atar} and \textit{O. Zeitouni}, SIAM J. Control Optim. 35, No. 1, 36--55 (1997; Zbl 0940.93073) Full Text: DOI
Li, Baowen; Robnik, Marko Sensitivity of the eigenfunctions and the level curvature distribution in quantum billiards. (English) Zbl 0905.58022 J. Phys. A, Math. Gen. 29, No. 15, 4387-4405 (1996). MSC: 37D45 37A30 81Q10 PDF BibTeX XML Cite \textit{B. Li} and \textit{M. Robnik}, J. Phys. A, Math. Gen. 29, No. 15, 4387--4405 (1996; Zbl 0905.58022) Full Text: DOI
Ablowitz, M. J.; Herbst, B. M.; Schober, C. On the numerics of integrable discretizations. (English) Zbl 0856.65107 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 1-11 (1996). MSC: 65M20 37-XX 65L12 35Q55 65L05 35Q51 35Q53 PDF BibTeX XML Cite \textit{M. J. Ablowitz} et al., in: Symmetries and integrability of difference equations. Papers from the workshop, May 22--29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. 1--11 (1996; Zbl 0856.65107)
Brémaud, P.; Gong, W.-B. Derivatives of likelihood ratios and smoothed perturbation analysis for the routing problem. (English) Zbl 0840.62086 ACM Trans. Model. Comput. Simul. 3, No. 2, 134-161 (1993). MSC: 62M99 60K25 62M09 65C99 PDF BibTeX XML Cite \textit{P. Brémaud} and \textit{W. B. Gong}, ACM Trans. Model. Comput. Simul. 3, No. 2, 134--161 (1993; Zbl 0840.62086) Full Text: DOI Link
Kushner, Harold J.; Yang, Jichuan A Monte Carlo method for sensitivity analysis and parametric optimization of nonlinear stochastic systems: The ergodic case. (English) Zbl 0758.93082 SIAM J. Control Optimization 30, No. 2, 440-464 (1992). MSC: 93E20 93E25 PDF BibTeX XML Cite \textit{H. J. Kushner} and \textit{J. Yang}, SIAM J. Control Optim. 30, No. 2, 440--464 (1992; Zbl 0758.93082) Full Text: DOI
Ariaratnam, S. T.; Xie, Wei-Chau Lyapunov exponents in stochastic structural dynamics. (English) Zbl 0735.73097 Lyapunov exponents, Proc. Conf., Oberwolfach/Ger. 1990, Lect. Notes Math. 1486, 271-291 (1991). MSC: 74S30 74H50 74H45 74A40 34F05 74G60 74K10 37-XX 93E15 PDF BibTeX XML
Novák, J. Linear programming in vector criterion Markov and semi-Markov decision processes. (English) Zbl 0682.90096 Optimization 20, No. 5, 651-670 (1989). MSC: 90C40 90C31 90C05 PDF BibTeX XML Cite \textit{J. Novák}, Optimization 20, No. 5, 651--670 (1989; Zbl 0682.90096) Full Text: DOI
Weld, Daniel S. Comparative analysis. (English) Zbl 0654.93004 Artif. Intell. 36, No. 3, 333-373 (1988). Reviewer: A.Kasinski MSC: 93A10 68U20 93B35 37-XX 54H20 68T20 PDF BibTeX XML Cite \textit{D. S. Weld}, Artif. Intell. 36, No. 3, 333--373 (1988; Zbl 0654.93004) Full Text: DOI
Bensoussan, Alain Perturbation methods in optimal control. Transl. from the French by C. Tomson. (English) Zbl 0648.49001 Modern Applied Mathematics. Paris: Gauthier-Villars; Chichester (UK): Wiley. xiv. 573 p. £55.00 (1988). Reviewer: A.Dontchev MSC: 49-02 49K15 49K40 34D10 34E15 35B25 49K20 49L20 49K45 93C15 93C20 93E20 PDF BibTeX XML Cite \textit{A. Bensoussan}, Perturbation methods in optimal control. Transl. from the French by C. Tomson. Paris: Gauthier-Villars; Chichester (UK): Wiley (1988; Zbl 0648.49001)
Golub, Gene H.; Meyer, Carl D. jun. Using the QR factorization and group inversion to compute, differentiate, and estimate the sensitivity of stationary probabilities for Markov chains. (English) Zbl 0594.60072 SIAM J. Algebraic Discrete Methods 7, 273-281 (1986). Reviewer: B.H.Lindqvist MSC: 60J10 65F15 15B51 65F25 65F35 15A09 15A12 PDF BibTeX XML Cite \textit{G. H. Golub} and \textit{C. D. Meyer jun.}, SIAM J. Algebraic Discrete Methods 7, 273--281 (1986; Zbl 0594.60072) Full Text: DOI
Bensoussan, A. Some singular perturbation problems arising in stochastic control. (English) Zbl 0561.93066 Recent mathematical methods in dynamic programming, Proc. Conf., Rome/Italy 1984, Lect. Notes Math. 1119, 20-31 (1985). Reviewer: R.Elliott MSC: 93E20 49L20 35B25 49K40 49K45 90C39 PDF BibTeX XML
Vincent, T. L.; Lee, C. S. Parametric optimization with dynamic systems. (English) Zbl 0524.49018 Appl. Math. Comput. 12, 169-185 (1983). MSC: 49M05 49K15 90C31 34A34 37-XX 34H05 93C10 93C15 93B40 93B35 PDF BibTeX XML Cite \textit{T. L. Vincent} and \textit{C. S. Lee}, Appl. Math. Comput. 12, 169--185 (1983; Zbl 0524.49018) Full Text: DOI
Breitenecker, Manfred; Gruemm, Hans-Richard Economic evolutions and their resilience: A model. (English) Zbl 0494.90016 Res. Rep., Int. Inst. Appl. Syst. Anal., Laxenburg RR-81-5, 34 p. (1981). MSC: 91B62 37-XX PDF BibTeX XML
Kochubievskij, I. D.; Charikov, A. S. On the integral evaluation of the non-sensitivity of dynamic systems. (Russian) Zbl 0421.93031 Sensitivity of control systems, Proc. All-Union School-Semin., Vladivostok 1975, Vol. 1, 185-195 (1976). MSC: 93B35 93C15 93C05 93C99 37-XX PDF BibTeX XML
Ovsyannikov, R. N.; Tokarev, V. V.; Fatkin, Yu. M. Parameters optimization of the dynamic system, universal for a given class of maneuvers. (English) Zbl 0212.47701 Colloq. Methods Optim., Novosibirsk, USSR 1968, Lect. Notes Math. 112, 254-265 (1970). MSC: 90C31 90C30 90C39 37-XX PDF BibTeX XML