Published papers
 

[1] Ivan Gudoshnikov, Oleg Makarenkov, Dmitrii Rachinskii. Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input. ESAIM Control Optim. Calc. Var., 29: No. 84, 42 pp, 2023 [html]
[2] Josean Albelo-Cortes, Oleg Makarenkov. Finite-time stability of any polyhedral sweeping process with uni-directional loading and application to elastoplastic models. Appl. Math. Lett., 140: No. 108563, 7 pp, 2023 [html]
[3] Oleg Makarenkov. Exact and perturbation methods in the dynamics of legged locomotion. Encycl. Complex. Syst. Sci. Springer, New York, 5019-5040, 2022 [html]
[4] Saurav Kumar, Oleg Makarenkov, Robert D. Gregg, Nicholas Gans. Stability of time-invariant extremum seeking control for limit cycle minimization. IEEE Trans. Automat. Control, 67 (9): 5017-5024, 2022 [html]
[5] Ivan Gudoshnikov, Oleg Makarenkov, Dmitrii Rachinskii. Finite-time stability of polyhedral sweeping processes with application to elastoplastic systems. SIAM J. Control Optim., 60 (3): 1320-1346, 2022 [html]
[6] Ivan Gudoshnikov, Oleg Makarenkov. Stabilization of the response of cyclically loaded lattice spring models with plasticity. ESAIM Control Optim. Calc. Var., 27 (No. S8): 43pp, 2021 [html]
[7] Oleg Makarenkov, Ferdinand Verhulst. Resonant periodic solutions in regularized impact oscillator. J. Math. Anal. Appl., 499 (2): 125035, 2021 [html]
[8] Mikhail Kamenskii, Oleg Makarenkov, Lakmi N. Wadippuli. A continuation principle for periodic BV-continuous state-dependent sweeping processes. SIAM J. Math. Anal., 52 (6): 5598-5626, 2020 [html]
[9] Ivan Gudoshnikov, Mikhail Kamenskii, Oleg Makarenkov, Natalia Voskovskaia. One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model. Math. Model. Nat. Phenom., 15 (25): 18 pp, 2020 [html]
[10] Ivan Gudoshnikov, Oleg Makarenkov. Structurally stable families of periodic solutions in sweeping processes of networks of elastoplastic springs. Phys. D, 406 (132443): 6 pp, 2020 [html]
[11] Oleg Makarenkov. Existence and stability of limit cycles in the model of a planar passive biped walking down a slope. Proc. A, 476 (2233): 20190450, 2020 [html]
[12] Lakmi Niwanthi Wadippuli, Ivan Gudoshnikov, Oleg Makarenkov. Global asymptotic stability of nonconvex sweeping processes. Discrete Contin. Dyn. Syst. Ser. B, 25(3): 1129-1139, 2020. [http]
[13] Oleg Makarenkov. A linear state feedback switching rule for global stabilization of switched nonlinear systems about a nonequilibrium point. Eur. J. Control , 49: 62-67, 2019 [html]
[14] Oleg Makarenkov. Bifurcation of limit cycles from a switched equilibrium in planar switched systems. J. Franklin Inst., 356 (12): 6419-6432, 2019 [html]
[15] Oleg Makarenkov and Lakmi Niwanthi Wadippuli Achchige. Bifurcations of finite-time stable limit cycles from focus boundary equilibria in impacting systems, Filippov systems, and sweeping processes. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 28(10):1850126, 13, 2018. [http]
[16] Mikhail Kamenskii, Oleg Makarenkov, Lakmi Niwanthi Wadippuli, and Paul Raynaud de Fitte. Global stability of almost periodic solutions to monotone sweeping processes and their response to non-monotone perturbations. Nonlinear Anal. Hybrid Syst., 30:213-224, 2018. [http]
[17] Oleg Makarenkov and Anthony Phung. Dwell time for local stability of switched affine systems with application to non-spiking neuron models. Appl. Math. Lett., 86:89-94, 2018. [http]
[18] Oleg Makarenkov and Anthony Phung. Dwell time for switched systems with multiple equilibria on a finite time-interval. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 25(1):1-14, 2018.
[19] Oleg Makarenkov. A new test for stick-slip limit cycles in dry-friction oscillators with a small nonlinearity in the friction characteristic. Meccanica, 52(11-12):2631-2640, 2017. [http]
[20] Oleg Makarenkov. Bifurcation of limit cycles from a fold-fold singularity in planar switched systems. SIAM J. Appl. Dyn. Syst., 16(3):1340-1371, 2017. [http]
[21] Thomas Köppen, Tassilo Küpper, and Oleg Makarenkov. Existence and stability of limit cycles in control of anti-lock braking systems with two boundaries via perturbation theory. Internat. J. Control, 90(5):974-989, 2017. [http]
[22] Oleg Makarenkov. A simple proof of the Lyapunov finite-time stability theorem. C. R. Math. Acad. Sci. Paris, 355(3):277-281, 2017. [http]
[23] Mikhail Kamenskii and Oleg Makarenkov. On the response of autonomous sweeping processes to periodic perturbations. Set-Valued Var. Anal., 24(4):551-563, 2016. [http]
[24] Yinghua Zhang, Oleg Makarenkov, and Nicholas Gans. Extremum seeking control of a nonholonomic system with sensor constraints. Automatica J. IFAC, 70:86-93, 2016. [http]
[25] A. Buica, J. Llibre, and O. Makarenkov. A note on forced oscillations in differential equations with jumping nonlinearities. Differ. Equ. Dyn. Syst., 23(4):415-421, 2015. [http]
[26] J. Newman and O. Makarenkov. Resonance oscillations in a mass-spring impact oscillator. Nonlinear Dynam., 79(1):111-118, 2015. [http]
[27] Oleg Makarenkov. Topological degree in the generalized Gause prey-predator model. J. Math. Anal. Appl., 410(2):525-540, 2014. [http]
[28] O. Yu. Makarenkov. Asymptotic stability of oscillations of a two-mass resonance sifter. Prikl. Mat. Mekh., 77(3):398-409, 2013. [http]
[29] O. Yu. Makarenkov and I. S. Martynova. Degenerate resonances and their stability in two-dimensional systems with small negative divergence. Dokl. Akad. Nauk, 447(3):262-264, 2012. [http]
[30] Oleg Makarenkov and Jeroen S. W. Lamb. Dynamics and bifurcations of nonsmooth systems: a survey. Phys. D, 241(22):1826-1844, 2012. [http]
[31] Oleg Makarenkov and Jeroen S. W. Lamb. Preface: Dynamics and bifurcations of nonsmooth systems. Phys. D, 241(22):1825, 2012. [http]
[32] Adriana Buica, Jaume Llibre, and Oleg Makarenkov. Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems. J. Differential Equations, 252(6):3899-3919, 2012. [http]
[33] Mikhail Kamenskii, Oleg Makarenkov, and Paolo Nistri. An alternative approach to study bifurcation from a limit cycle in periodically perturbed autonomous systems. J. Dynam. Differential Equations, 23(3):425-435, 2011. [http]
[34] Oleg Makarenkov, Luisa Malaguti, and Paolo Nistri. On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations. Z. Anal. Anwend., 30(2):129-144, 2011. [http]
[35] Oleg Makarenkov and Rafael Ortega. Asymptotic stability of forced oscillations emanating from a limit cycle. J. Differential Equations, 250(1):39-52, 2011. [http]
[36] O. Yu. Makarenkov. The Poincaré index and periodic solutions of perturbed autonomous systems. Tr. Mosk. Mat. Obs., 70:4-45, 2009. [http]
[37] Adriana Buica, Jaume Llibre, and Oleg Makarenkov. Asymptotic stability of periodic solutions for nonsmooth differential equations with application to the nonsmooth van der Pol oscillator. SIAM J. Math. Anal., 40(6):2478-2495, 2009. [http]
[38] Oleg Makarenkov. Influence of a small perturbation on Poincaré-Andronov operators with not well defined topological degree. Topol. Methods Nonlinear Anal., 32(1):165-175, 2008.
[39] A. Bu\ika, Zh. Libre, and O. Yu. Makarenkov. On Yu. A. Mitropol ski\i's theorem on periodic solutions of systems of nonlinear differential equations with nondifferentiable right-hand sides. Dokl. Akad. Nauk, 421(3):302-304, 2008. [http]
[40] Oleg Makarenkov, Paolo Nistri, and Duccio Papini. Synchronization problems for unidirectional feedback coupled nonlinear systems. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 15(4):453-468, 2008.
[41] Mikhail Kamenskii, Oleg Makarenkov, and Paolo Nistri. Periodic bifurcation for semilinear differential equations with Lipschitzian perturbations in Banach spaces. Adv. Nonlinear Stud., 8(2):271-288, 2008. [http]
[42] Oleg Makarenkov and Paolo Nistri. Periodic solutions for planar autonomous systems with nonsmooth periodic perturbations. J. Math. Anal. Appl., 338(2):1401-1417, 2008. [http]
[43] Mikhail Kamenskii, Oleg Makarenkov, and Paolo Nistri. A continuation principle for a class of periodically perturbed autonomous systems. Math. Nachr., 281(1):42-61, 2008. [http]
[44] Oleg Makarenkov and Paolo Nistri. On the rate of convergence of periodic solutions in perturbed autonomous systems as the perturbation vanishes. Commun. Pure Appl. Anal., 7(1):49-61, 2008. [http]
[45] Mikhail Kamenskii, Oleg Makarenkov, and Paolo Nistri. Periodic solutions of periodically perturbed planar autonomous systems: a topological approach. Adv. Differential Equations, 11(4):399-418, 2006.
[46] Mikhail Kamenski, Oleg Makarenkov, and Paolo Nistri. Periodic solutions for a class of singularly perturbed systems. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 11(1):41-55, 2004.
[47] Mikhail Kamenskii, Oleg Makarenkov, and Paolo Nistri. Small parameter perturbations of nonlinear periodic systems. Nonlinearity, 17(1):193-205, 2004. [http]
[48] M. I. Kamenski\i, O. Yu. Makarenkov, and P. Nistri. An approach to the theory of ordinary differential equations with a small parameter. Dokl. Akad. Nauk, 388(4):439-442, 2003.

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