Braverman, E.; Rodkina, A. On target-oriented control of Hénon and Lozi maps. (English) Zbl 1528.39007 J. Difference Equ. Appl. 29, No. 9-12, 885-908 (2023). MSC: 39A50 39A30 39A60 37N35 93C55 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, J. Difference Equ. Appl. 29, No. 9--12, 885--908 (2023; Zbl 1528.39007) Full Text: DOI arXiv
Braverman, E.; Rodkina, A. Noisy prediction-based control leading to stability switch. (English) Zbl 07736752 Math. Comput. Simul. 213, 418-443 (2023). MSC: 93-XX 37-XX PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, Math. Comput. Simul. 213, 418--443 (2023; Zbl 07736752) Full Text: DOI arXiv
Braverman, Elena; Rodkina, Alexandra Stabilizing multiple equilibria and cycles with noisy prediction-based control. (English) Zbl 1503.39013 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5419-5446 (2022). Reviewer: Conall Kelly (Cork) MSC: 39A50 39A30 92D25 37H10 37H30 93C55 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5419--5446 (2022; Zbl 1503.39013) Full Text: DOI arXiv
Braverman, Elena; Rodkina, Alexandra Global stabilization and destabilization by the state dependent noise with particular distributions. (English) Zbl 1489.39023 Physica D 403, Article ID 132302, 14 p. (2020). Reviewer: Gheorghe Tigan (Timișoara) MSC: 39A50 39A30 37H30 93E15 93E03 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, Physica D 403, Article ID 132302, 14 p. (2020; Zbl 1489.39023) Full Text: DOI arXiv
Braverman, E.; Kelly, C.; Rodkina, A. Stabilization of cycles with stochastic prediction-based and target-oriented control. (English) Zbl 1454.93286 Chaos 30, No. 9, 093116, 15 p. (2020). MSC: 93E15 93C27 93-08 PDFBibTeX XMLCite \textit{E. Braverman} et al., Chaos 30, No. 9, 093116, 15 p. (2020; Zbl 1454.93286) Full Text: DOI arXiv
Braverman, Elena; Diblík, Josef; Rodkina, Alexandra; Šmarda, Zdeněk Stabilization of cycles for difference equations with a noisy PF control. (English) Zbl 1436.93142 Automatica 115, Article ID 108862, 8 p. (2020). MSC: 93E15 93D15 93C73 PDFBibTeX XMLCite \textit{E. Braverman} et al., Automatica 115, Article ID 108862, 8 p. (2020; Zbl 1436.93142) Full Text: DOI arXiv
Diblík, J.; Rodkina, A.; Šmarda, Z. On local stability of stochastic delay nonlinear discrete systems with state-dependent noise. (English) Zbl 1433.39006 Appl. Math. Comput. 374, Article ID 125019, 15 p. (2020). MSC: 39A30 34F05 60H10 65C05 93E15 39B82 PDFBibTeX XMLCite \textit{J. Diblík} et al., Appl. Math. Comput. 374, Article ID 125019, 15 p. (2020; Zbl 1433.39006) Full Text: DOI
Braverman, Elena; Rodkina, Alexandra Stochastic control stabilizing unstable or chaotic maps. (English) Zbl 1411.39009 J. Difference Equ. Appl. 25, No. 2, 151-178 (2019). MSC: 39A50 37H10 93D15 39A30 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, J. Difference Equ. Appl. 25, No. 2, 151--178 (2019; Zbl 1411.39009) Full Text: DOI arXiv
Kelly, Cónall; Rodkina, Alexandra; Rapoo, Eeva Maria Adaptive timestepping for pathwise stability and positivity of strongly discretised nonlinear stochastic differential equations. (English) Zbl 1385.37070 J. Comput. Appl. Math. 334, 39-57 (2018). MSC: 37H10 39A50 60H35 65C30 PDFBibTeX XMLCite \textit{C. Kelly} et al., J. Comput. Appl. Math. 334, 39--57 (2018; Zbl 1385.37070) Full Text: DOI arXiv
Rodkina, Alexandra; Rapoo, Eeva On almost sure asymptotic periodicity for scalar stochastic difference equations. (English) Zbl 1422.39047 Adv. Difference Equ. 2017, Paper No. 220, 29 p. (2017). MSC: 39A50 39A24 PDFBibTeX XMLCite \textit{A. Rodkina} and \textit{E. Rapoo}, Adv. Difference Equ. 2017, Paper No. 220, 29 p. (2017; Zbl 1422.39047) Full Text: DOI
Braverman, Elena; Rodkina, Alexandra Stabilization of difference equations with noisy proportional feedback control. (English) Zbl 1361.39009 Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2067-2088 (2017). MSC: 39A50 93B52 39A30 92D25 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2067--2088 (2017; Zbl 1361.39009) Full Text: DOI arXiv
Braverman, Elena; Rodkina, Alexandra On convergence of solutions to difference equations with additive perturbations. (English) Zbl 1466.39017 J. Difference Equ. Appl. 22, No. 7, 878-903 (2016). MSC: 39A50 37H10 39A30 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, J. Difference Equ. Appl. 22, No. 7, 878--903 (2016; Zbl 1466.39017) Full Text: DOI arXiv
Braverman, E.; Kelly, C.; Rodkina, A. Stabilisation of difference equations with noisy prediction-based control. (English) Zbl 1364.39018 Physica D 326, 21-31 (2016). MSC: 39A50 93E03 PDFBibTeX XMLCite \textit{E. Braverman} et al., Physica D 326, 21--31 (2016; Zbl 1364.39018) Full Text: DOI arXiv
Rodkina, Alexandra; Braverman, Elena Stochastic difference equations with the Allee effect. (English) Zbl 1351.39011 Discrete Contin. Dyn. Syst. 36, No. 11, 5929-5949 (2016). MSC: 39A50 37H10 93E10 92D25 PDFBibTeX XMLCite \textit{A. Rodkina} and \textit{E. Braverman}, Discrete Contin. Dyn. Syst. 36, No. 11, 5929--5949 (2016; Zbl 1351.39011) Full Text: DOI arXiv
Rodkina, Alexandra; Dokuchaev, Nikolai; Appleby, John On limit periodicity of discrete time stochastic processes. (English) Zbl 1300.93156 Stoch. Dyn. 14, No. 4, Article ID 1450011, 8 p. (2014). MSC: 93E03 93C55 93E25 39A23 39A30 39A50 PDFBibTeX XMLCite \textit{A. Rodkina} et al., Stoch. Dyn. 14, No. 4, Article ID 1450011, 8 p. (2014; Zbl 1300.93156) Full Text: DOI arXiv
Rodkina, Alexandra; Dokuchaev, Nikolai Instability and stability of solutions of systems of nonlinear stochastic difference equations with diagonal noise. (English) Zbl 1291.39041 J. Difference Equ. Appl. 20, No. 5-6, 744-764 (2014). MSC: 39A50 34F05 39A30 93E15 37H10 PDFBibTeX XMLCite \textit{A. Rodkina} and \textit{N. Dokuchaev}, J. Difference Equ. Appl. 20, No. 5--6, 744--764 (2014; Zbl 1291.39041) Full Text: DOI
Braverman, E.; Rodkina, A. Difference equations of Ricker and logistic types under bounded stochastic perturbations with positive mean. (English) Zbl 1350.65140 Comput. Math. Appl. 66, No. 11, 2281-2294 (2013). MSC: 65Q10 39A50 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, Comput. Math. Appl. 66, No. 11, 2281--2294 (2013; Zbl 1350.65140) Full Text: DOI
Kelly, Cónall; Palmer, Peter; Rodkina, Alexandra Almost sure instability of the equilibrium solution of a Milstein-type stochastic difference equation. (English) Zbl 1350.39011 Comput. Math. Appl. 66, No. 11, 2220-2230 (2013). MSC: 39A50 39A30 39A12 60H10 PDFBibTeX XMLCite \textit{C. Kelly} et al., Comput. Math. Appl. 66, No. 11, 2220--2230 (2013; Zbl 1350.39011) Full Text: DOI
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra Corrigendum: On the use of a discrete form of the Itô formula in the article “Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations”. (English) Zbl 1297.60044 LMS J. Comput. Math. 16, 366-372 (2013). MSC: 60H35 34F05 60H10 65C30 93E15 PDFBibTeX XMLCite \textit{G. Berkolaiko} et al., LMS J. Comput. Math. 16, 366--372 (2013; Zbl 1297.60044) Full Text: DOI
Braverman, Elena; Rodkina, Alexandra Stabilization of two cycles of difference equations with stochastic perturbations. (English) Zbl 1295.39014 J. Difference Equ. Appl. 19, No. 7, 1192-1212 (2013). Reviewer: Sui Sun Cheng (Hsinchu) MSC: 39A50 39A30 39A28 37H10 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, J. Difference Equ. Appl. 19, No. 7, 1192--1212 (2013; Zbl 1295.39014) Full Text: DOI
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations. (English) Zbl 1294.60093 LMS J. Comput. Math. 15, 71-83 (2012); corrigendum ibid. 16, 366-372 (2013). MSC: 60H35 34F05 60H10 65C30 93E15 PDFBibTeX XMLCite \textit{G. Berkolaiko} et al., LMS J. Comput. Math. 15, 71--83 (2012; Zbl 1294.60093) Full Text: DOI
Braverman, E.; Rodkina, A. On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise. (English) Zbl 1268.39020 Comput. Math. Appl. 64, No. 7, 2224-2232 (2012). MSC: 39A50 60H99 39A30 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, Comput. Math. Appl. 64, No. 7, 2224--2232 (2012; Zbl 1268.39020) Full Text: DOI
Appleby, John A. D.; Guzowska, Małgorzata; Kelly, Cónall; Rodkina, Alexandra Preserving positivity in solutions of discretised stochastic differential equations. (English) Zbl 1208.65013 Appl. Math. Comput. 217, No. 2, 763-774 (2010). Reviewer: Gong Guanglu (Beijing) MSC: 65C30 60H10 60H35 65C05 34F05 PDFBibTeX XMLCite \textit{J. A. D. Appleby} et al., Appl. Math. Comput. 217, No. 2, 763--774 (2010; Zbl 1208.65013) Full Text: DOI
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri Non-positivity and oscillations of solutions of nonlinear stochastic difference equations with state-dependent noise. (English) Zbl 1198.39032 J. Difference Equ. Appl. 16, No. 7, 807-830 (2010). Reviewer: Nguyen Van Minh (Carrollton) MSC: 39A50 39A21 39A22 PDFBibTeX XMLCite \textit{J. A. D. Appleby} et al., J. Difference Equ. Appl. 16, No. 7, 807--830 (2010; Zbl 1198.39032) Full Text: DOI
Appleby, John A. D.; Gleeson, James P.; Rodkina, Alexandra On asymptotic stability and instability with respect to a fading stochastic perturbation. (English) Zbl 1168.60351 Appl. Anal. 88, No. 4, 579-603 (2009). MSC: 60H10 93E15 93D09 93D20 PDFBibTeX XMLCite \textit{J. A. D. Appleby} et al., Appl. Anal. 88, No. 4, 579--603 (2009; Zbl 1168.60351) Full Text: DOI
Appleby, John A. D.; Berkolaiko, Gregory; Rodkina, Alexandra Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise. (English) Zbl 1177.39020 Stochastics 81, No. 2, 99-127 (2009). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A30 37H10 34F05 39A50 39A12 PDFBibTeX XMLCite \textit{J. A. D. Appleby} et al., Stochastics 81, No. 2, 99--127 (2009; Zbl 1177.39020) Full Text: DOI arXiv Link
Appleby, John A. D.; Kelly, Cónall; Mao, Xuerong; Rodkina, Alexandra Positivity and stabilisation for nonlinear stochastic delay differential equations. (English) Zbl 1162.60019 Stochastics 81, No. 1, 29-54 (2009). Reviewer: Stanisław Wedrychowicz (Rzeszów) MSC: 60H10 93E15 37H10 34K50 PDFBibTeX XMLCite \textit{J. A. D. Appleby} et al., Stochastics 81, No. 1, 29--54 (2009; Zbl 1162.60019) Full Text: DOI
Appleby, J.; Berkolaiko, G.; Rodkina, A. On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations. (English) Zbl 1155.39003 J. Difference Equ. Appl. 14, No. 9, 923-951 (2008). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 39A12 93E15 39A10 37H10 PDFBibTeX XMLCite \textit{J. Appleby} et al., J. Difference Equ. Appl. 14, No. 9, 923--951 (2008; Zbl 1155.39003) Full Text: DOI
Basin, Michael; Rodkina, Alexandra On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays. (English) Zbl 1154.34044 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2147-2157 (2008). Reviewer: Michael Scheutzow (Berlin) MSC: 34K50 34K20 PDFBibTeX XMLCite \textit{M. Basin} and \textit{A. Rodkina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2147--2157 (2008; Zbl 1154.34044) Full Text: DOI
Rodkina, Alexandra; Basin, Michael On delay-dependent stability for vector nonlinear stochastic delay-difference equations with Volterra diffusion term. (English) Zbl 1124.93066 Syst. Control Lett. 56, No. 6, 423-430 (2007). Reviewer: Andrew Dale (Durban) MSC: 93E15 93E03 93C10 60H25 PDFBibTeX XMLCite \textit{A. Rodkina} and \textit{M. Basin}, Syst. Control Lett. 56, No. 6, 423--430 (2007; Zbl 1124.93066) Full Text: DOI
Rodkina, Alexandra; Basin, Michael On delay-dependent stability for a class of nonlinear stochastic delay-differential equations. (English) Zbl 1103.93043 Math. Control Signals Syst. 18, No. 2, 187-197 (2006). MSC: 93E03 93D20 93D05 PDFBibTeX XMLCite \textit{A. Rodkina} and \textit{M. Basin}, Math. Control Signals Syst. 18, No. 2, 187--197 (2006; Zbl 1103.93043) Full Text: DOI
Hritonenko, Natali; Rodkina, Alexandra; Yatsenko, Yuri Stability analysis of stochastic Ricker population model,. (English) Zbl 1099.92071 Discrete Dyn. Nat. Soc. 2006, No. 2, Article ID 64590, 13 p. (2006). MSC: 92D40 60G48 60G35 60F15 PDFBibTeX XMLCite \textit{N. Hritonenko} et al., Discrete Dyn. Nat. Soc. 2006, No. 2, Article ID 64590, 13 p. (2006; Zbl 1099.92071) Full Text: DOI EuDML
Berkolaiko, Gregory; Rodkina, Alexandra Almost sure convergence of solutions to non-homogeneous stochastic difference equation. (English) Zbl 1099.39002 J. Difference Equ. Appl. 12, No. 6, 535-553 (2006). Reviewer: Nguyen Van Minh (Carrollton) MSC: 39A11 39A10 37H10 60H25 PDFBibTeX XMLCite \textit{G. Berkolaiko} and \textit{A. Rodkina}, J. Difference Equ. Appl. 12, No. 6, 535--553 (2006; Zbl 1099.39002) Full Text: DOI arXiv
Rodkina, Alexandra; Schurz, Henri Almost sure asymptotic stability of drift-implicit \(\theta\)-methods for bilinear ordinary stochastic differential equations in \(\mathbb R^1\). (English) Zbl 1073.65009 J. Comput. Appl. Math. 180, No. 1, 13-31 (2005). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 65L05 65L20 60H10 34F05 60H35 PDFBibTeX XMLCite \textit{A. Rodkina} and \textit{H. Schurz}, J. Comput. Appl. Math. 180, No. 1, 13--31 (2005; Zbl 1073.65009) Full Text: DOI
Rodkina, Alexandra; Mao, Xuerong On boundedness and stability of solutions of nonlinear difference equation with nonmartingale type noise. (English) Zbl 1016.39004 J. Difference Equ. Appl. 7, No. 4, 529-550 (2001). MSC: 39A11 91B30 60H25 PDFBibTeX XMLCite \textit{A. Rodkina} and \textit{X. Mao}, J. Difference Equ. Appl. 7, No. 4, 529--550 (2001; Zbl 1016.39004) Full Text: DOI
Rodkina, Alexandra; Mao, Xuerong; Kolmanovskii, Vladimir On asymptotic behaviour of solutions of stochastic difference equations with Volterra type main term. (English) Zbl 0979.60054 Stochastic Anal. Appl. 18, No. 5, 837-857 (2000). Reviewer: Guy Jumarie (Montréal) MSC: 60H30 93E15 93D05 39A11 PDFBibTeX XMLCite \textit{A. Rodkina} et al., Stochastic Anal. Appl. 18, No. 5, 837--857 (2000; Zbl 0979.60054) Full Text: DOI
Rodkina, Alexandra On rate control of \(n\)-link manipulator robot. (English) Zbl 1017.93509 Math. Comput. Simul. 45, No. 3-4, 359-364 (1998). MSC: 93C85 70B15 70Q05 PDFBibTeX XMLCite \textit{A. Rodkina}, Math. Comput. Simul. 45, No. 3--4, 359--364 (1998; Zbl 1017.93509) Full Text: DOI
Rodkina, A. E. Solubility of stochastic differential equations with perturbed argument. (English. Russian original) Zbl 0661.60074 Ukr. Math. J. 37, 84-88 (1985); translation from Ukr. Mat. Zh. 37, No. 1, 98-103 (1985). MSC: 60H10 60H25 PDFBibTeX XMLCite \textit{A. E. Rodkina}, Ukr. Math. J. 37, 84--88 (1985; Zbl 0661.60074); translation from Ukr. Mat. Zh. 37, No. 1, 98--103 (1985) Full Text: DOI
Akhmerov, R. R.; Kamenskij, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskij, B. N. Theory of equations of neutral type. (English) Zbl 0536.34044 J. Sov. Math. 24, 674-719 (1984). MSC: 34K05 34-02 34A40 34Bxx 34C29 34Dxx PDFBibTeX XMLCite \textit{R. R. Akhmerov} et al., J. Sov. Math. 24, 674--719 (1984; Zbl 0536.34044) Full Text: DOI