T. Pandey, P. Feketa, J. Steinkühler. Directed evolution effectively selects for DNA based physical reservoir computing networks capable of multiple tasks. Neuromorphic Computing and Engineering, 6, 014003, 2026.
H.F.J. Rolf, P. Feketa, A. Schaum, T. Meurer. Implementing the Fourier transform in a sensor: A benchmark application for neuromorphic acoustic sensing. Neuromorphic Computing and Engineering, 5, 034007, 2025.
H.F.J. Rolf, P. Feketa, T. Meurer. Delay-controlled frequency tuning of a MEMS sensor for neuromorphic acoustic sensing. IEEE Access, 13:38940-38951, 2025.
N. Kasimova, P. Feketa. Application of the averaging method to the optimal control of parabolic differential inclusions on the semi-axis. Axioms, 14(1), 74, 2025.
B. Al Beattie, P. Feketa, K. Ochs, H. Kohlstedt. Criticality in FitzHugh-Nagumo oscillator ensembles: Design, robustness, and spatial invariance. Communications Physics, 7, 46, 2024.
P. Feketa, T. Birkoben, M. Noll, A. Schaum, T. Meurer, H. Kohlstedt. Artificial homeostatic temperature regulation via bio-inspired feedback mechanisms. Scientific Reports, 13, 5003, 2023.
P. Feketa, O.V. Kapustyan, O.A. Kapustian, I.I. Korol. Global attractors of mild solutions semiflow for semilinear parabolic equation without uniqueness. Applied Mathematics Letters, 135, 108435, 2023.
P. Feketa, J. Fedorenko, D. Bezushchak, A. Sukretna. ω-limit sets of impulsive semigroups for hyperbolic equations. Axioms, 12(10):918, 2023.
P. Feketa, T. Meurer, H. Kohlstedt. Structural plasticity driven by task performance leads to criticality signatures in neuromorphic oscillator networks. Scientific Reports, 12, 15321, 2022.
A. Schaum, P. Jerono, P. Feketa. Robust impulsive observer design for infinite-dimensional cell population balance models. International Journal of Robust and Nonlinear Control, 32(2):774–791, 2022.
P. Feketa., V. Klinshov, L. Lücken. A survey on the modeling of hybrid behaviors: How to account for impulsive jumps properly. Communications in Nonlinear Science and Numerical Simulation, 103, 105955, 2021.
P. Feketa, A. Schaum, T. Meurer. Synchronization and multicluster capabilities of oscillatory networks with adaptive coupling. IEEE Transactions on Automatic Control, 66(7):3084–3096, 2021.
P. Feketa, A. Schaum, T. Meurer. Distributed parameter state estimation for the Gray-Scott reaction-diffusion model. Systems, 9(4):71, 2021.
V. Klinshov, L. Lücken, P. Feketa. On the interpretation of Dirac δ pulses in differential equations for phase oscillators. Chaos, 31, 031102, 2021.
J.L. Mancilla-Aguilar, H. Haimovich, P. Feketa. Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency. Nonlinear Analysis: Hybrid Systems, 38, 100933, 2020.
K. Ochs, D. Michaelis, E. Solan, P. Feketa, A. Schaum, T. Meurer. Synthesis, design, and synchronization analysis of coupled linear electrical networks. IEEE Transactions on Circuits and Systems I: Regular Papers, 67(12):4521–4532, 2020.
P. Feketa, T. Meurer, M. Perestyuk, Yu. Perestyuk. Exponential stability of invariant manifold for nonlinear impulsive multifrequency system. J. Math. Sci., 249(4):694–703, 2020.
P. Feketa, N. Bajcinca. On robustness of impulsive stabilization. Automatica, 104:48–56, 2019.
S. Dashkovskiy, P. Feketa, O. Kapustyan, I. Romaniuk. Invariance and stability of global attractors for multi-valued impulsive dynamical systems. J. Math. Anal. Appl., 458(1):193–218, 2018.
S. Dashkovskiy, P. Feketa. Asymptotic properties of Zeno solutions. Nonlinear Anal. Hybrid Syst., 30:256–265, 2018.
P. Feketa, O. Kapustian, M. Perestyuk. Stability of trivial torus of nonlinear multifrequency systems via sign-definite quadratic forms. Miskolc Math. Notes, 19(1):241–247, 2018.
F. Asrorov, Yu. Perestyuk, P. Feketa. On the stability of invariant tori of a class of dynamical systems with the Lappo-Danilevskii condition. Mem. Differ. Equ. Math. Phys., 72:15–25, 2017.
S. Dashkovskiy, P. Feketa. Input-to-state stability of impulsive systems and their networks. Nonlinear Anal. Hybrid Syst., 26:190–200, 2017. ISI Highly Cited Paper
P. Feketa, H. Stein Shiromoto, S. Dashkovskiy. Almost ISS property for feedback connected systems. Automatica, 79:231–234, 2017.
P. Feketa, Yu. Perestyuk. Perturbation theorems for a multifrequency system with impulses. J. Math. Sci. (N.Y.), 217(4):515–524, 2016.
M. Perestyuk, P. Feketa. On preservation of an exponentially stable invariant torus. Tatra Mt. Math. Publ., 63(1):215–222, 2015.
O. Leontiev, P. Feketa. A new criterion for the roughness of exponential dichotomy on ℝ. Miskolc Math. Notes, 16(2):987–994, 2015.
M. Perestyuk, P. Feketa. On preservation of invariant torus for multifrequency systems. Ukrainian Math. J., 65(11):1661–1669, 2014.
P. V. Feketa, Yu. M. Perestyuk. On invariant tori of multi-frequency systems in the Lappo-Danilevskii case. Visn., Ser. Fiz.-Mat. Nauky, Kyiv. Univ. Im. Tarasa Shevchenka, 2012(3):105–110, 2012.
P. V. Feketa, F. A. Asrorov. Integral sets of extensions of non-autonomous systems on torus with impulsive perturbations. Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 23(1):125–132, 2012.
M. Perestyuk, P. Feketa. Invariant sets of impulsive differential equations with particularities in 𝜔-limit set. Abstr. Appl. Anal., 2011(ID 970469):14 p., 2011.
M. O. Perestyuk, P. V. Feketa. Invariant manifolds of one class of systems of impulsive differential equations. Nonlinear Oscil., 13(2):260–273, 2010.
P. V. Feketa. Invariant sets of one class of discontinuous dynamical systems. Visn., Mat. Mekh., Kyiv. Univ. Im. Tarasa Shevchenka, 23:24–28, 2010.
P. V. Feketa, O. M. Perestyuk. Stability of an invariant manifold of a nonlinear impulsive system of differential equations defined in the direct product of torus and Euclidean space. Visn., Ser. Fiz.-Mat. Nauky, Kyiv. Univ. Im. Tarasa Shevchenka, 2010(2):73–78, 2010.
F. A. Asrorov, P. V. Feketa. Bounded solutions to linear nonhomogeneous systems with impulsive action. Nauk. Visn. Uzhgorod. Univ. Ser. Mat. Inform., 20:4–12, 2010.
M. O. Perestyuk, P. V. Feketa. Existence of invariant torus of a certain class of systems of differential equations. Nauk. Visn. Uzhgorod. Univ. Ser. Mat. Inform., 18:106–112, 2009.
P. Feketa, A. Schaum, T. Meurer. Synchronization phenomena in oscillator networks: From Kuramoto and Chua to chemical oscillators. In Ziegler, M., Mussenbrock, T., Kohlstedt, H. (eds) Bio-Inspired Information Pathways. Springer Series on Bio- and Neurosystems: From Neuroscience to Neurotronics, vol. 16. Springer, Cham, pp. 385–406, 2024.
P. Feketa, A. Schaum, T. Meurer. On a Lyapunov characterization of input-to-state stability for impulsive systems with unstable continuous dynamics. In Sadovnichiy V. A., Zgurovsky M. Z (eds) Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics. Understanding Complex Systems. Springer, Cham, pp. 369–380, 2021.
S. Dashkovskiy, P. Feketa, O. Kapustyan, I. Romaniuk. Existence and invariance of global attractors for impulsive parabolic system without uniqueness. In Sadovnichiy V. A., Zgurovsky M. (eds) Modern Mathematics and Mechanics. Understanding Complex Systems. Springer, Cham, pp. 57–78, 2019.
S. Dashkovskiy, P. Feketa, C. Kattenberg, B. Nieberding. A synergistic effect in logistics network. In Freitag M., Kotzab H., Pannek J. (eds) Dynamics in Logistics. Lecture Notes in Logistics. Springer, Cham, pp. 87–97, 2017.
T. Lundt, A. Lepsien, P. Feketa, T. Meurer, A. Schaum. Parameter estimation in adaptively coupled Kuramoto oscillators. IFAC-PapersOnLine, 59(26):305–310, 2025. In 1st IFAC Joint Conference on Computers, Cognition, and Communication (J3C 2025), Padova, Italy, 2025.
R. Kumar, P. Feketa, T. Meurer. Input-to-state stability of nonlinear impulsive systems with hybrid impulses. IFAC-PapersOnLine, 58(17):184–189, 2024. In 26th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2024), Cambridge, United Kingdom, 2024.
P. Feketa, A. Schaum, T. Meurer. Unknown Input Reconstruction from Temporal Activity Patterns of Thermosensitive Neuronal Ensembles using Reservoir Computing. IFAC-PapersOnLine, 55(20):570–575, 2022. In 10th Vienna International Conference on Mathematical Modelling (MATHMOD 2022), Vienna, Austria, 2022.
A. Schaum, P. Feketa, T. Meurer. Input–to–state stability of dissipative PI control for a class of semilinear heat equations. IFAC-PapersOnLine, 54(19):281–286, 2021. In 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC 21), Berlin, Germany, 2021.
P. Feketa, A. Schaum, T. Meurer. Stability of cluster formations in adaptive Kuramoto networks. IFAC-PapersOnLine, 54(9):14–19, 2021. In 24th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2020), Cambridge, United Kingdom, 2020.
A. Schaum, P. Feketa, T. Meurer, J. A. Moreno. Robust nonlinear observer design based on impulsive dissipativity. IFAC-PapersOnLine, 54(9):279–284, 2021. In 24th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2020), Cambridge, United Kingdom, 2020.
P. Feketa, S. Bogomolov, T. Meurer. Safety verification for impulsive systems. IFAC-PapersOnLine, 53(2):1949–1954, 2020. In Proceedings of the 21st IFAC World Congress (IFAC WC 2020), Berlin, Germany, 2020.
A. Schaum, P. Feketa, T. Meurer. Dissipative PI control for a class of semilinear heat equations with actuator disturbance. IFAC-PapersOnLine, 53(2):7503–7508, 2020. In Proceedings of the 21st IFAC World Congress (IFAC WC 2020), Berlin, Germany, 2020.
P. Feketa, A. Schaum, P. Jerono, T. Meurer. Impulsive observer design for a class of continuous biological reactors. In 58th IEEE Conference on Decision and Control (CDC 2019), Nice, France, pp. 5076–5081, 2019.
P. Feketa, A. Schaum, T. Meurer, D. Michaelis, K. Ochs. Synchronization of nonlinearly coupled networks of Chua oscillators. IFAC-PapersOnLine, 52(16):628–633, 2019. In Proceedings of the 11th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2019), Vienna, Austria, 2019.
P. Feketa, N. Bajcinca. Average dwell-time for impulsive systems possessing ISS-Lyapunov function with nonlinear rates. In 2019 European Control Conference (ECC), Naples, Italy, pp. 3686–3691, 2019.
P. Feketa, N. Bajcinca. Stability of nonlinear impulsive differential equations with non-fixed moments of jumps. In 2018 European Control Conference (ECC), Limassol, Cyprus, pp. 900–905, 2018.
S. Dashkovskiy, P. Feketa. Zeno phenomenon in hybrid dynamical systems. Proc. Appl. Math. Mech., 17:789–790, 2017. In Proceedings of the 88th GAMM Annual Meeting, Ilmenau@Weimar, 2017.
S. Dashkovskiy, P. Feketa. Prolongation and stability of Zeno solutions to hybrid dynamical systems. IFAC-PapersOnLine, 50(1):3429–3434, 2017. In Proceedings of the 2017 IFAC World Congress, Toulouse, France, 2017.
S. Dashkovskiy, P. Feketa. Input-to-state stability of impulsive systems with different jump maps. IFAC-PapersOnLine, 49(18):1073–1078, 2016. In Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2016), Monterey, CA, USA, 2016.