Panchuk Anastasiia
Education
Dissertations
Research interests
• nonlinear dynamical systems, theory of bifurcations and chaos
• piecewise smooth dynamical systems defined by difference equations and their applications in economics and other social sciences
• delay-differential equations, neural system models
• synchronization and clustering in networks of coupled elements
• piecewise smooth dynamical systems defined by difference equations and their applications in economics and other social sciences
• delay-differential equations, neural system models
• synchronization and clustering in networks of coupled elements
Experience
Talks on conferences
• 2nd European Interdisciplinary School on Nonlinear Dynamics for System and Signal Analysis EUROATTRACTOR 2001, June 19 -- 28, 2001, Warsaw, Poland.
Talk: Asymptotical behaviour of mean-field coupled maps
• International Workshop and Seminar on Control, Communication, and Synchronization in Chaotic Dynamical Systems (Workshop: October 14 -- 19, 2001 Seminar: October 20 -- 26, 2001), Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.
Talk: Stable periodic clusters in system of globally coupled logistic maps
• NATO Advanced Study Institute "Synchronization: Theory and Application", May 19 - June 1, 2002, Yalta, Ukraine.
Talk: Stability of periodic clusters in a system of globally coupled oscillators
• Nonlinear Dynamics of Electronic Systems 2003, May 18 - 21, 2003, Scuol, Switzerland.
Talk: Clustering in the turbulent phase
• Trends in Pattern Formation: From Amplitude Equations to Applications (2nd Workshop), September 15 - 19, 2003, Dresden, Germany.
Poster: Clustering in globally coupled map systems
• School-Forum "Coupled Map Lattices 2004", Institute Henri Poincar\'{e}, June 21 -- July 2, Paris, France.
Talk: Partial synchronization in globally coupled map systems
• International Conference and Workshops "Nonlinear Dynamics Chaos, and Applications (NDCA)", May 15-26, 2006, Yalta, Crimea, Ukraine.
Talk: Synchronization of globally coupled chaotic maps: clusters and quasi-clusters
• European Conference on Iteration Theory (ECIT) 2008, September 7-13, 2008, Yalta, Crimea, Ukraine.
Talk: Synchronization and stability in a non-autonomous iterative system
• The 6th International Conference on Nonlinear Economic Dynamics (NED09), 31 May – 2 June, 2009, J\"{o}nk\"{o}ping International Business School, Sweden.
Talk: Industry dynamics, stability of Cournot equilibrium, entry of firms and renewal of capital
• 17th International Workshop on Nonlinear Dynamics of Electronic Systems, June 21-24, 2009, Rapperswil, Switzerland.
Talk: Regular spiking in FitzHugh-Nagumo systems coupled through linear delay term
• Ukrainian Mathematical Congress -- 2009 (devoted to 100-anniversary of M.M.Bogolyubov birth), 27-29 August, 2009, Institute of Mathematics, NAS of Ukraine, Kyiv, Ukraine.
Talk: Iteration system with periodic perturbation: Application to economics
• International Workshop on Nonlinear Maps and their Applications (NOMA'09), September 10-11, 2009, University of Urbino, Italy.
Talk: Regular spiking in FitzHugh-Nagumo systems coupled through linear delay term
• International Workshop on Delayed Complex Systems, October 5-9, 2009, Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.
Talk: Regular spiking in asymmetrically delay-coupled FitzHugh-Nagumo systems
• 18th IEEE Workshop on Nonlinear Dynamics of Electronic Systems, May 26–28, 2010, Technische Universität Dresden, Germany.
Talk: Coupled FitzHugh-Nagumo systems: Patterns induced by a delay coupling and a feedback
• International Workshop Nonlinear Dynamics on Networks, July 5–9, 2010, National Academy of Sciences of Ukraine, Kyiv, Ukraine.
Talk: Coupled FitzHugh-Nagumo systems: patterns induced by a delay coupling and a feedback
• European Conference on Iteration Theory 2010, 12-17 September, 2010, Nant, France.
Talk: Dynamics in the oligopoly model with recurring renewal of capital
• Third Workshop "Modelli Dinamici in Economia e Finanza" (MDEF2010), September 23-25, 2010, University of Urbino, Italy.
Talk: Dynamics in the oligopoly model with recurring renewal of capital
• The 7th International Conference on Nonlinear Economic Dynamics (NED11), 1 –- 3 June, 2011, Cartagena, Spain.
Talk: Oligopoly model with recurring renewal of capital
• International Conference on Differential Equations and Their Applications, 8 –- 10 June, 2011, Kyiv National Taras Shevchenko University, Ukraine.
Talk: Delay differential equaitons for modeling coupled neurons
• International Workshop on Nonlinear Maps and their Applications (NOMA'11), September 15-16, 2011, University of Évora, Portugal.
Talk: Three segmented piecewise-linear map
• International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD), April 30-May 2, 2012, Marrakech, Morocco.
Talk: Delay FitzHugh-Nagumo equations for modelling coupled neurons
• International Conference on Emergent Dynamics of Oscillatory Networks, May 20-27, 2012, Mellas, Crimea, Ukraine.
Talk: Delay FitzHugh-Nagumo equations for modelling coupled neurons
• International Workshop "Modelli Dinamici in Economia e Finanza", September 20-22, 2012, University of Urbino, Italy.
Talk: Oligopoly model with recurrent renewal of capital: modifications and new results
• European Conference on Iteration Theory (ECIT) 2012, September 9-15, 2012, Ponta Delgada, Sãn Miguel, Açores, Portugal.
Talk: Cycles and their bifurcations in a bimodal piecewise linear map
• International Conference on Nonlinear Economic Dynamics (NED13), 4–-6 July, 2013, Siena, Italy.
Talk (together with T.~Puu): Disequilibrium trade and dynamics of stock markets
• 8th SICC International Tutorial Workshop "Topics in nonlinear dynamics", Bifurcations in Piecewise-Smooth Systems: Perspectives, Methodologies and Open Problems, 11--13 September, 2013, University of Urbino (PU), Italy
Talk: Bifurcation structure in 1D PWL bimodal maps. Regular dynamics
• International Conference on Nonlinear Economic Dynamics (NED15), 25–-27 June, 2015, Tokyo, Japan.
Talk (together with T.~Puu): Dynamics of a stock market involving disequilibrium trade
• Training School on "Qualitative Theory of Dynamical Systems, Tools and Applications", 17--19 September, 2015, University of Urbino "Carlo Bo" --- DESP, Italy
Lecture: Global analysis of dynamical systems and numerical methods
• Final GeComplexity Conference "The EU in the new complex geography of economic systems: models, tools and policy evaluation", 26--27 May, 2016, Heraklion, Crete, Greece.
Talk: Dynamics of a stock market involving disequilibrium trade
• 9th International Workshop "Modelli Dinamici in Economia e Finanza", 23--25 June, 2016, University of Urbino "Carlo Bo" --- DESP, Italy.
Talk: Renewable resource exploitation described by a discrete time nonlinear model with replicator dynamics
• 11th International Conference "Progress on Difference Equations" (PODE 2017), 29--31 May, 2017, University of Urbino "Carlo Bo" --- DESP, Italy.
Talk: Bifurcation structures related to chaotic attractors in a 1D PWL map defined on three partitions
• 10th International Workshop "Modelli Dinamici in Economia e Finanza", 6--8 September, 2018, University of Urbino "Carlo Bo" --- DESP, Italy.
Talk: A piecewise linear map with two discontinuities: bifurcation structures in the chaotic domain
• International Conference on Nonlinear Economic Dynamics (NED19), 4--6 September, 2019, Kyiv, Ukaraine.
Talk: Modelling learning and teaching interaction by a map with vanishing denominators
• International Conference on Difference Equations and Applications (ICDEA 2021 Virtual), 26--30 July, 2021, Sarajevo, Bosnia and Herzegovina.
Talk: Border collision bifurcations of chaotic attractors in 1D maps with multiple discontinuities
• International Conference on Nonlinear Economic Dynamics (NED21), 13--15 September, 2021, Milan, Italy.
Talk: Interplay between honest and dishonest agents given an endogenous monitoring: bifurcation structure overview
• European Conference on Iteration Theory (ECIT) 2022, 13--17 June, 2022, Reichenau an der Rax, Austria.
Talk 1: Border collision bifurcations of chaotic attractors in 1D maps with multiple discontinuities
Talk 2: The first return map: revealing bifurcation mechanisms in a 2D nonsmooth map
• International Conference on Difference Equations and Applications (ICDEA 2022), 18--22 July, 2022, Paris-Saclay University, Gif-sur-Yvette, France.
Talk: Exterior, interior and expansion-like border collisions for chaotic attractors in 1D discontinuous maps
• 11th International Workshop "Modelli Dinamici in Economia e Finanza", 8--10 September, 2022, University of Urbino "Carlo Bo" --- DESP, Italy.
Talk: A 2D nonsmooth map modeling fraud in a public procurement: Advantages of the first return map
• International Workshop "From Modeling and Analysis to Approximation and Fast Algorithms", 2--6 December, 2022, Hasenwinkel, Germany.
Talk: Border collision bifurcations for chaotic attractors in 1D maps with multiple discontinuities
• 13th International Conference "Progress on Difference Equations" (PODE 2023), 29--31 May, 2023, Università Cattolica del Sacro Cuore, Milano, Italy.
Talk: Bifurcations of chaotic attractors in 1D maps with multiple discontinuities
• International Conference on Nonlinear Economic Dynamics (NED23), 19--21 June, 2023, University of Agder (UiA), Kristiansand, Norway.
Talk: Evolution of dishonest behavior in public procurement. The role of updating control
• International Conference on Difference Equations and Applications (ICDEA 2023), 17--21 July, 2023, Pibulsongkram Rajabhat University, Phitsanulok, Thailand.
Talk: Bifurcation structures in a discontinuous 2D map, modeling exchange rate dynamics
• Workshop on Dynamic Macroeconomics in Honour of Ingrid Kubin, 19 September, 2023, Vienna University of Economics and Business, Austria.
Talk: Evolution of dishonest behavior in public procurement. The role of updating control
• International Conference "Complex Dynamical Systems" (CDS 2023), 2--4 October, 2023, Institute of Mathematics, NAS of Ukraine.
Talk: Bifurcations of chaotic attractors in 1D maps with multiple discontinuities
• International Conference on Difference Equations and Applications (ICDEA 2024), 24--28 June, 2024, Paris, France.
Talk: Bifurcation structures in a discontinuous 2D map, modeling exchange rate dynamics
Talk: Asymptotical behaviour of mean-field coupled maps
• International Workshop and Seminar on Control, Communication, and Synchronization in Chaotic Dynamical Systems (Workshop: October 14 -- 19, 2001 Seminar: October 20 -- 26, 2001), Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.
Talk: Stable periodic clusters in system of globally coupled logistic maps
• NATO Advanced Study Institute "Synchronization: Theory and Application", May 19 - June 1, 2002, Yalta, Ukraine.
Talk: Stability of periodic clusters in a system of globally coupled oscillators
• Nonlinear Dynamics of Electronic Systems 2003, May 18 - 21, 2003, Scuol, Switzerland.
Talk: Clustering in the turbulent phase
• Trends in Pattern Formation: From Amplitude Equations to Applications (2nd Workshop), September 15 - 19, 2003, Dresden, Germany.
Poster: Clustering in globally coupled map systems
• School-Forum "Coupled Map Lattices 2004", Institute Henri Poincar\'{e}, June 21 -- July 2, Paris, France.
Talk: Partial synchronization in globally coupled map systems
• International Conference and Workshops "Nonlinear Dynamics Chaos, and Applications (NDCA)", May 15-26, 2006, Yalta, Crimea, Ukraine.
Talk: Synchronization of globally coupled chaotic maps: clusters and quasi-clusters
• European Conference on Iteration Theory (ECIT) 2008, September 7-13, 2008, Yalta, Crimea, Ukraine.
Talk: Synchronization and stability in a non-autonomous iterative system
• The 6th International Conference on Nonlinear Economic Dynamics (NED09), 31 May – 2 June, 2009, J\"{o}nk\"{o}ping International Business School, Sweden.
Talk: Industry dynamics, stability of Cournot equilibrium, entry of firms and renewal of capital
• 17th International Workshop on Nonlinear Dynamics of Electronic Systems, June 21-24, 2009, Rapperswil, Switzerland.
Talk: Regular spiking in FitzHugh-Nagumo systems coupled through linear delay term
• Ukrainian Mathematical Congress -- 2009 (devoted to 100-anniversary of M.M.Bogolyubov birth), 27-29 August, 2009, Institute of Mathematics, NAS of Ukraine, Kyiv, Ukraine.
Talk: Iteration system with periodic perturbation: Application to economics
• International Workshop on Nonlinear Maps and their Applications (NOMA'09), September 10-11, 2009, University of Urbino, Italy.
Talk: Regular spiking in FitzHugh-Nagumo systems coupled through linear delay term
• International Workshop on Delayed Complex Systems, October 5-9, 2009, Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.
Talk: Regular spiking in asymmetrically delay-coupled FitzHugh-Nagumo systems
• 18th IEEE Workshop on Nonlinear Dynamics of Electronic Systems, May 26–28, 2010, Technische Universität Dresden, Germany.
Talk: Coupled FitzHugh-Nagumo systems: Patterns induced by a delay coupling and a feedback
• International Workshop Nonlinear Dynamics on Networks, July 5–9, 2010, National Academy of Sciences of Ukraine, Kyiv, Ukraine.
Talk: Coupled FitzHugh-Nagumo systems: patterns induced by a delay coupling and a feedback
• European Conference on Iteration Theory 2010, 12-17 September, 2010, Nant, France.
Talk: Dynamics in the oligopoly model with recurring renewal of capital
• Third Workshop "Modelli Dinamici in Economia e Finanza" (MDEF2010), September 23-25, 2010, University of Urbino, Italy.
Talk: Dynamics in the oligopoly model with recurring renewal of capital
• The 7th International Conference on Nonlinear Economic Dynamics (NED11), 1 –- 3 June, 2011, Cartagena, Spain.
Talk: Oligopoly model with recurring renewal of capital
• International Conference on Differential Equations and Their Applications, 8 –- 10 June, 2011, Kyiv National Taras Shevchenko University, Ukraine.
Talk: Delay differential equaitons for modeling coupled neurons
• International Workshop on Nonlinear Maps and their Applications (NOMA'11), September 15-16, 2011, University of Évora, Portugal.
Talk: Three segmented piecewise-linear map
• International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD), April 30-May 2, 2012, Marrakech, Morocco.
Talk: Delay FitzHugh-Nagumo equations for modelling coupled neurons
• International Conference on Emergent Dynamics of Oscillatory Networks, May 20-27, 2012, Mellas, Crimea, Ukraine.
Talk: Delay FitzHugh-Nagumo equations for modelling coupled neurons
• International Workshop "Modelli Dinamici in Economia e Finanza", September 20-22, 2012, University of Urbino, Italy.
Talk: Oligopoly model with recurrent renewal of capital: modifications and new results
• European Conference on Iteration Theory (ECIT) 2012, September 9-15, 2012, Ponta Delgada, Sãn Miguel, Açores, Portugal.
Talk: Cycles and their bifurcations in a bimodal piecewise linear map
• International Conference on Nonlinear Economic Dynamics (NED13), 4–-6 July, 2013, Siena, Italy.
Talk (together with T.~Puu): Disequilibrium trade and dynamics of stock markets
• 8th SICC International Tutorial Workshop "Topics in nonlinear dynamics", Bifurcations in Piecewise-Smooth Systems: Perspectives, Methodologies and Open Problems, 11--13 September, 2013, University of Urbino (PU), Italy
Talk: Bifurcation structure in 1D PWL bimodal maps. Regular dynamics
• International Conference on Nonlinear Economic Dynamics (NED15), 25–-27 June, 2015, Tokyo, Japan.
Talk (together with T.~Puu): Dynamics of a stock market involving disequilibrium trade
• Training School on "Qualitative Theory of Dynamical Systems, Tools and Applications", 17--19 September, 2015, University of Urbino "Carlo Bo" --- DESP, Italy
Lecture: Global analysis of dynamical systems and numerical methods
• Final GeComplexity Conference "The EU in the new complex geography of economic systems: models, tools and policy evaluation", 26--27 May, 2016, Heraklion, Crete, Greece.
Talk: Dynamics of a stock market involving disequilibrium trade
• 9th International Workshop "Modelli Dinamici in Economia e Finanza", 23--25 June, 2016, University of Urbino "Carlo Bo" --- DESP, Italy.
Talk: Renewable resource exploitation described by a discrete time nonlinear model with replicator dynamics
• 11th International Conference "Progress on Difference Equations" (PODE 2017), 29--31 May, 2017, University of Urbino "Carlo Bo" --- DESP, Italy.
Talk: Bifurcation structures related to chaotic attractors in a 1D PWL map defined on three partitions
• 10th International Workshop "Modelli Dinamici in Economia e Finanza", 6--8 September, 2018, University of Urbino "Carlo Bo" --- DESP, Italy.
Talk: A piecewise linear map with two discontinuities: bifurcation structures in the chaotic domain
• International Conference on Nonlinear Economic Dynamics (NED19), 4--6 September, 2019, Kyiv, Ukaraine.
Talk: Modelling learning and teaching interaction by a map with vanishing denominators
• International Conference on Difference Equations and Applications (ICDEA 2021 Virtual), 26--30 July, 2021, Sarajevo, Bosnia and Herzegovina.
Talk: Border collision bifurcations of chaotic attractors in 1D maps with multiple discontinuities
• International Conference on Nonlinear Economic Dynamics (NED21), 13--15 September, 2021, Milan, Italy.
Talk: Interplay between honest and dishonest agents given an endogenous monitoring: bifurcation structure overview
• European Conference on Iteration Theory (ECIT) 2022, 13--17 June, 2022, Reichenau an der Rax, Austria.
Talk 1: Border collision bifurcations of chaotic attractors in 1D maps with multiple discontinuities
Talk 2: The first return map: revealing bifurcation mechanisms in a 2D nonsmooth map
• International Conference on Difference Equations and Applications (ICDEA 2022), 18--22 July, 2022, Paris-Saclay University, Gif-sur-Yvette, France.
Talk: Exterior, interior and expansion-like border collisions for chaotic attractors in 1D discontinuous maps
• 11th International Workshop "Modelli Dinamici in Economia e Finanza", 8--10 September, 2022, University of Urbino "Carlo Bo" --- DESP, Italy.
Talk: A 2D nonsmooth map modeling fraud in a public procurement: Advantages of the first return map
• International Workshop "From Modeling and Analysis to Approximation and Fast Algorithms", 2--6 December, 2022, Hasenwinkel, Germany.
Talk: Border collision bifurcations for chaotic attractors in 1D maps with multiple discontinuities
• 13th International Conference "Progress on Difference Equations" (PODE 2023), 29--31 May, 2023, Università Cattolica del Sacro Cuore, Milano, Italy.
Talk: Bifurcations of chaotic attractors in 1D maps with multiple discontinuities
• International Conference on Nonlinear Economic Dynamics (NED23), 19--21 June, 2023, University of Agder (UiA), Kristiansand, Norway.
Talk: Evolution of dishonest behavior in public procurement. The role of updating control
• International Conference on Difference Equations and Applications (ICDEA 2023), 17--21 July, 2023, Pibulsongkram Rajabhat University, Phitsanulok, Thailand.
Talk: Bifurcation structures in a discontinuous 2D map, modeling exchange rate dynamics
• Workshop on Dynamic Macroeconomics in Honour of Ingrid Kubin, 19 September, 2023, Vienna University of Economics and Business, Austria.
Talk: Evolution of dishonest behavior in public procurement. The role of updating control
• International Conference "Complex Dynamical Systems" (CDS 2023), 2--4 October, 2023, Institute of Mathematics, NAS of Ukraine.
Talk: Bifurcations of chaotic attractors in 1D maps with multiple discontinuities
• International Conference on Difference Equations and Applications (ICDEA 2024), 24--28 June, 2024, Paris, France.
Talk: Bifurcation structures in a discontinuous 2D map, modeling exchange rate dynamics