[1]
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Oleg Makarenkov, Josean Albelo-Cortes. Topological properties of elastoplastic lattice spring models that determine terminal distributions of plastic deformations.
[arXiv]
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[2]
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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]
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[3]
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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]
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[4]
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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
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[5]
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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
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[6]
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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
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[7]
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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
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[8]
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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
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[9]
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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]
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