Панчук Анастасія Анатоліївна
Публікації
• G. Campisi, A. Panchuk, F. Tramontana, A discontinuous model of exchange rate dynamics with sentiment traders. Annals of Operations Research, 337, P. 913--935, (2024). doi: 10.1007/s10479-023-05387-2. Q1. [Scopus]
• V. Avrutin, A. Panchuk, I. Sushko, Can a border collision bifurcation of a chaotic attractor lead to its expansion?, Proceedings of the Royal Society A, 479, P. 20230260 (2023); doi: 10.1098/rspa.2023.0260. Q1. [Scopus]
• A. Panchuk, I. Sushko, E. Michetti, R. Coppier, Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map, Communications in Nonlinear Science and Numerical Simulation, 117, P. 106946 (2023); doi:10.1016/j.cnsns.2022.106946. Q1. [Scopus]
• V. Avrutin, A. Panchuk, I. Sushko, Border collision bifurcations of chaotic attractors in one-dimensional maps with multiple discontinuities, Proceedings of the Royal Society A, 477, P. 20210432 (2021); doi:10.1098/rspa.2021.0432. Q1. [Scopus]
• A. Panchuk, F. Westerhoff, Speculative behavior and chaotic asset price dynamics: On the emergence of a bandcount accretion bifurcation structure, Discrete \& Continuous Dynamical Systems -- B, 26(11), pp. 5941--5964 (2021); doi:10.3934/dcdsb.2021117. Q2. [Scopus]
• L. C. Baiardi, A. Panchuk, Global dynamic scenarios in a discrete-time model of renewable resource exploitation: a mathematical study, Nonlinear Dynamics, 102, pp. 1111--1127 (2020); doi:10.1007/s11071-020-05898-8. Q1. [Scopus]
• L. C. Baiardi, A. K. Naimzada, A. Panchuk, Endogenous desired debt in a Minskyan business model, Chaos, Solitons \& Fractals, 131, pp. 109470 (2020); doi:10.1016/j.chaos.2019.109470. Q1. [Scopus]
• U. Merlone, A. Panchuk, P. van Geert, Modeling learning and teaching interaction by a map with vanishing denominators: Fixed points stability and bifurcations, Chaos, Solitons \& Fractals, 126, pp. 253--265 (2019); doi:10.1016/j.chaos.2019.06.008. Q1. [Scopus]
• A. Panchuk, I. Sushko, F. Westerhoff, A financial market model with two discontinuities: bifurcation structures in the chaotic domain, Chaos, 28, pp. 055908 (2018); doi:10.1063/1.5024382. Q1. [Scopus]
• A. Panchuk, T. Puu, Dynamics of a durable commodity market involving trade at disequilibrium, Communications in Nonlinear Science and Numerical Simulation, 58, pp. 2--14 (2018); doi: 10.1016/j.cnsns.2017.08.003. Q1. [Scopus]
• A. Panchuk, I. Sushko, V. Avrutin, Bifurcation structures in a bimodal piecewise linear map, Frontiers in Applied Mathematics and Statistics, 3, pp. 1--7 (2017); doi: 10.3389/fams.2017.00007. [Scopus]
• A. Panchuk, Some aspects on global analysis of discrete time dynamical systems, In: Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling, G. I. Bischi, A. Panchuk, D. Radi (Eds.), Springer(2016), pp. 161--186; doi: 10.1007/978-3-319-33276-5\_2. [Scopus]
• A. Panchuk, Dynamics of industrial oligopoly market involving capacity limits and recurrent investment, In: Complexity and Geographical Economics, P. Commendatore, S. Kayam, I. Kubin (Eds.), Springer (2015), pp. 249--275; doi:10.1007/978-3-319-12805-4\_10.
• J. S. C\'{a}novas, A. Panchuk, T. Puu, Asymptotic dynamics of a piecewise smooth map modelling a competitive market, Math. Comp. Simul., 117, pp. 20--38 (2015); doi:10.1016/j.matcom.2015.05.004. Q2. [Scopus]
• I. Foroni, A. Avellone, A. Panchuk, Sudden transition from equilibrium stability to chaotic dynamics in a cautious t\^{a}tonnement model, Chaos, Solitons \& Fractals, 79, pp. 105--115 (2015); doi:10.1016/j.chaos.2015.05.013. Q2. [Scopus]
• A. Panchuk, I. Sushko, V. Avrutin, Bifurcation structures in a bimodal piecewise linear map: Chaotic dynamics, Int. J. Bif. Chaos, 25(3), 1530006 (2015); doi:10.1142/S0218127415300062. Q2. [Scopus]
• A. Panchuk, T. Puu, Oligopoly model with recurrent renewal of capital revisited, Math. Comp. Simul., 108, pp. 119--128 (2015); doi:10.1016/j.matcom.2013.09.007. Q2. [Scopus]
• J. S. C\'{a}novas, A. Panchuk, T. Puu, Role of reinvestment in a competitive market, No 12, Gecomplexity Discussion Paper Series, Action IS1104 ``The EU in the new complex geography of economic systems: models, tools and policy evaluation'' (2015); https://EconPapers.repec.org/RePEc:cst:wpaper:12.
• A. Panchuk, CompDTIMe: Computing one-dimensional invariant manifolds for saddle points of discrete time dynamical systems, No 11, Gecomplexity Discussion Paper Series, Action IS1104 ``The EU in the new complex geography of economic systems: models, tools and policy evaluation'' (2015); https://EconPapers.repec.org/RePEc:cst:wpaper:11.
• A. Panchuk, I. Sushko, B. Schenke, V. Avrutin, Bifurcation structures in a bimodal piecewise linear map: Regular dynamics, Int. J. Bif. Chaos, 23(12), 1330040 (2013); doi:10.1142/S0218127413300401. Q2. [Scopus]
• A. Panchuk, D. P. Rosin, P. H\"{o}vel, E. Sch\"{o}ll, Synchronization of coupled neural oscillators with heterogeneous delays, Int. J. Bif. Chaos, 23(12), 1330039 (2013); doi: 10.1142/S0218127413300395. Q2. [Scopus]
• A. Panchuk, T. Puu, Industry dynamics, stability of Cournot equilibrium, and renewal of capital, In: Nonlinear Economic Dynamics, T. Puu, A. Panchuk, Eds., Nova Science Publishers, pp. 259-276 (2011). [Scopus]
• A. Panchuk, Three segmented piecewise-linear map, In: Proc. Int. Conf. ``Nonlinear Maps and their Applications'' (NOMA), Evora, Portugal, September 15--16, pp.3--6 (2011).
• T. Puu, A. Panchuk, Oligopoly and stability, Chaos, Solitons \& Fractals, 41(5), pp. 2505--2516 (2009); doi:10.1016/j.chaos.2008.09.037. Q1. [Scopus]
• A. Panchuk, T. Puu, Cournot equilibrium stability in a non-autonomous system modeling the oligopoly market, Grazer Mathematische Berichte, 354, pp. 201--218 (2009).
• A. Panchuk, T. Puu, Stability in a non-autonomous iterative system: An application to oligopoly, Comp. Math. Appl., 58(10), pp. 2022--2034 (2009); doi:10.1016/j.camwa.2009.06.048. Q2. [Scopus]
• M. A. Dahlem, G. Hiller, A. Panchuk, E. Sch\"{o}ll, Dynamics of delay-coupled excitable neural systems, Int. J. Bif. Chaos, 19(2), pp. 745--753 (2009); doi:10.1142/S0218127409023111. Q2. [Scopus]
• A. Panchuk, M. Dahlem, E. Sch\"{o}ll, Regular spiking in asymmetrically delay-coupled FitzHugh-Nagumo systems, http://arxiv.org/abs/0911.2071 (2009).
• A. Panchuk, M. Dahlem, E. Sch\"{o}ll, Regular spiking in FitzHugh-Nagumo systems coupled through linear delay, In: Proc. 17th Int. Workshop on Nonlinear Dynamics of Electronic Systems (NDES 2009), pp. 176-–179 (2009).
• A. Panchuk, M. Dahlem, E. Sch\"{o}ll, Modelling coupled neurons: role of the delay terms in producing spiking and bursting, In: Proc. Int. Workshop on Nonlinear Maps and their Applications (NOMA’09), pp. 120-–123 (2009).
• M. A. Dahlem, F. M. Schneider, A. Panchuk, G. Hiller, and E. Sch\"{o}ll, Control of sub-excitable waves in neural networks by nonlocal coupling, In: Proc. Int. Workshop Net-Works 2007, Aranjuez, 10–-11 September 2007, pp. 1–-15 (2007).
• A. Panchuk, Partial synchronization in systems of globally coupled maps, Nonlin. Osc. (Kiev), 7(2), pp.229--240 (2004); (in Ukrainian).
• Yu. Maistrenko, A. Panchuk, Clustering zones in the turbulent phase of a system of globally coupled chaotic maps, Chaos 13, No. 3, pp.990--998 (2003); doi:10.1063/1.1592331. Q1. [Scopus]
• A. Panchuk, Yu. Maistrenko, and M. Hasler, Clustering in the turbulent phase, Proc. of NDES'03, Scuol, Switzerland, 2003, pp.193--196 (2003).
• A. Panchuk, Yu. Maistrenko, Stability of periodic clusters in globally coupled maps, Nonlin. Osc. (Kiev), 5(3), pp.334--345 (2002).
• A. Panchuk, Yu. Maistrenko, Asymptotic behaviour of mean-field coupled maps, Proc. of Int. Conf. EUROATTRACTOR 2001, 2, pp. 256--262 (2003).
• V. Avrutin, A. Panchuk, I. Sushko, Can a border collision bifurcation of a chaotic attractor lead to its expansion?, Proceedings of the Royal Society A, 479, P. 20230260 (2023); doi: 10.1098/rspa.2023.0260. Q1. [Scopus]
• A. Panchuk, I. Sushko, E. Michetti, R. Coppier, Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map, Communications in Nonlinear Science and Numerical Simulation, 117, P. 106946 (2023); doi:10.1016/j.cnsns.2022.106946. Q1. [Scopus]
• V. Avrutin, A. Panchuk, I. Sushko, Border collision bifurcations of chaotic attractors in one-dimensional maps with multiple discontinuities, Proceedings of the Royal Society A, 477, P. 20210432 (2021); doi:10.1098/rspa.2021.0432. Q1. [Scopus]
• A. Panchuk, F. Westerhoff, Speculative behavior and chaotic asset price dynamics: On the emergence of a bandcount accretion bifurcation structure, Discrete \& Continuous Dynamical Systems -- B, 26(11), pp. 5941--5964 (2021); doi:10.3934/dcdsb.2021117. Q2. [Scopus]
• L. C. Baiardi, A. Panchuk, Global dynamic scenarios in a discrete-time model of renewable resource exploitation: a mathematical study, Nonlinear Dynamics, 102, pp. 1111--1127 (2020); doi:10.1007/s11071-020-05898-8. Q1. [Scopus]
• L. C. Baiardi, A. K. Naimzada, A. Panchuk, Endogenous desired debt in a Minskyan business model, Chaos, Solitons \& Fractals, 131, pp. 109470 (2020); doi:10.1016/j.chaos.2019.109470. Q1. [Scopus]
• U. Merlone, A. Panchuk, P. van Geert, Modeling learning and teaching interaction by a map with vanishing denominators: Fixed points stability and bifurcations, Chaos, Solitons \& Fractals, 126, pp. 253--265 (2019); doi:10.1016/j.chaos.2019.06.008. Q1. [Scopus]
• A. Panchuk, I. Sushko, F. Westerhoff, A financial market model with two discontinuities: bifurcation structures in the chaotic domain, Chaos, 28, pp. 055908 (2018); doi:10.1063/1.5024382. Q1. [Scopus]
• A. Panchuk, T. Puu, Dynamics of a durable commodity market involving trade at disequilibrium, Communications in Nonlinear Science and Numerical Simulation, 58, pp. 2--14 (2018); doi: 10.1016/j.cnsns.2017.08.003. Q1. [Scopus]
• A. Panchuk, I. Sushko, V. Avrutin, Bifurcation structures in a bimodal piecewise linear map, Frontiers in Applied Mathematics and Statistics, 3, pp. 1--7 (2017); doi: 10.3389/fams.2017.00007. [Scopus]
• A. Panchuk, Some aspects on global analysis of discrete time dynamical systems, In: Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling, G. I. Bischi, A. Panchuk, D. Radi (Eds.), Springer(2016), pp. 161--186; doi: 10.1007/978-3-319-33276-5\_2. [Scopus]
• A. Panchuk, Dynamics of industrial oligopoly market involving capacity limits and recurrent investment, In: Complexity and Geographical Economics, P. Commendatore, S. Kayam, I. Kubin (Eds.), Springer (2015), pp. 249--275; doi:10.1007/978-3-319-12805-4\_10.
• J. S. C\'{a}novas, A. Panchuk, T. Puu, Asymptotic dynamics of a piecewise smooth map modelling a competitive market, Math. Comp. Simul., 117, pp. 20--38 (2015); doi:10.1016/j.matcom.2015.05.004. Q2. [Scopus]
• I. Foroni, A. Avellone, A. Panchuk, Sudden transition from equilibrium stability to chaotic dynamics in a cautious t\^{a}tonnement model, Chaos, Solitons \& Fractals, 79, pp. 105--115 (2015); doi:10.1016/j.chaos.2015.05.013. Q2. [Scopus]
• A. Panchuk, I. Sushko, V. Avrutin, Bifurcation structures in a bimodal piecewise linear map: Chaotic dynamics, Int. J. Bif. Chaos, 25(3), 1530006 (2015); doi:10.1142/S0218127415300062. Q2. [Scopus]
• A. Panchuk, T. Puu, Oligopoly model with recurrent renewal of capital revisited, Math. Comp. Simul., 108, pp. 119--128 (2015); doi:10.1016/j.matcom.2013.09.007. Q2. [Scopus]
• J. S. C\'{a}novas, A. Panchuk, T. Puu, Role of reinvestment in a competitive market, No 12, Gecomplexity Discussion Paper Series, Action IS1104 ``The EU in the new complex geography of economic systems: models, tools and policy evaluation'' (2015); https://EconPapers.repec.org/RePEc:cst:wpaper:12.
• A. Panchuk, CompDTIMe: Computing one-dimensional invariant manifolds for saddle points of discrete time dynamical systems, No 11, Gecomplexity Discussion Paper Series, Action IS1104 ``The EU in the new complex geography of economic systems: models, tools and policy evaluation'' (2015); https://EconPapers.repec.org/RePEc:cst:wpaper:11.
• A. Panchuk, I. Sushko, B. Schenke, V. Avrutin, Bifurcation structures in a bimodal piecewise linear map: Regular dynamics, Int. J. Bif. Chaos, 23(12), 1330040 (2013); doi:10.1142/S0218127413300401. Q2. [Scopus]
• A. Panchuk, D. P. Rosin, P. H\"{o}vel, E. Sch\"{o}ll, Synchronization of coupled neural oscillators with heterogeneous delays, Int. J. Bif. Chaos, 23(12), 1330039 (2013); doi: 10.1142/S0218127413300395. Q2. [Scopus]
• A. Panchuk, T. Puu, Industry dynamics, stability of Cournot equilibrium, and renewal of capital, In: Nonlinear Economic Dynamics, T. Puu, A. Panchuk, Eds., Nova Science Publishers, pp. 259-276 (2011). [Scopus]
• A. Panchuk, Three segmented piecewise-linear map, In: Proc. Int. Conf. ``Nonlinear Maps and their Applications'' (NOMA), Evora, Portugal, September 15--16, pp.3--6 (2011).
• T. Puu, A. Panchuk, Oligopoly and stability, Chaos, Solitons \& Fractals, 41(5), pp. 2505--2516 (2009); doi:10.1016/j.chaos.2008.09.037. Q1. [Scopus]
• A. Panchuk, T. Puu, Cournot equilibrium stability in a non-autonomous system modeling the oligopoly market, Grazer Mathematische Berichte, 354, pp. 201--218 (2009).
• A. Panchuk, T. Puu, Stability in a non-autonomous iterative system: An application to oligopoly, Comp. Math. Appl., 58(10), pp. 2022--2034 (2009); doi:10.1016/j.camwa.2009.06.048. Q2. [Scopus]
• M. A. Dahlem, G. Hiller, A. Panchuk, E. Sch\"{o}ll, Dynamics of delay-coupled excitable neural systems, Int. J. Bif. Chaos, 19(2), pp. 745--753 (2009); doi:10.1142/S0218127409023111. Q2. [Scopus]
• A. Panchuk, M. Dahlem, E. Sch\"{o}ll, Regular spiking in asymmetrically delay-coupled FitzHugh-Nagumo systems, http://arxiv.org/abs/0911.2071 (2009).
• A. Panchuk, M. Dahlem, E. Sch\"{o}ll, Regular spiking in FitzHugh-Nagumo systems coupled through linear delay, In: Proc. 17th Int. Workshop on Nonlinear Dynamics of Electronic Systems (NDES 2009), pp. 176-–179 (2009).
• A. Panchuk, M. Dahlem, E. Sch\"{o}ll, Modelling coupled neurons: role of the delay terms in producing spiking and bursting, In: Proc. Int. Workshop on Nonlinear Maps and their Applications (NOMA’09), pp. 120-–123 (2009).
• M. A. Dahlem, F. M. Schneider, A. Panchuk, G. Hiller, and E. Sch\"{o}ll, Control of sub-excitable waves in neural networks by nonlocal coupling, In: Proc. Int. Workshop Net-Works 2007, Aranjuez, 10–-11 September 2007, pp. 1–-15 (2007).
• A. Panchuk, Partial synchronization in systems of globally coupled maps, Nonlin. Osc. (Kiev), 7(2), pp.229--240 (2004); (in Ukrainian).
• Yu. Maistrenko, A. Panchuk, Clustering zones in the turbulent phase of a system of globally coupled chaotic maps, Chaos 13, No. 3, pp.990--998 (2003); doi:10.1063/1.1592331. Q1. [Scopus]
• A. Panchuk, Yu. Maistrenko, and M. Hasler, Clustering in the turbulent phase, Proc. of NDES'03, Scuol, Switzerland, 2003, pp.193--196 (2003).
• A. Panchuk, Yu. Maistrenko, Stability of periodic clusters in globally coupled maps, Nonlin. Osc. (Kiev), 5(3), pp.334--345 (2002).
• A. Panchuk, Yu. Maistrenko, Asymptotic behaviour of mean-field coupled maps, Proc. of Int. Conf. EUROATTRACTOR 2001, 2, pp. 256--262 (2003).