Ivan Gudoshnikov

Hi! Welcome to my page! I am a researcher studying non-smooth dynamical systems. In 2020 I graduated from the University of Texas at Dallas with a PhD in Mathematics (my supervisor was Prof. Oleg Makarenkov).

Interests

Nonsmooth Dynamics
Moreau’s Sweeping Process
Stability
Dynamical Systems
Convex Analysis
Elastoplasticity
Graph Theory

Projects

Moreau’s Sweeping Process

Moreau’s Sweeping Process, its stability and applications. Networks of elastoplastic springs.

$C_0$-semigroups

Stability of semigroups in partially ordered spaces.

Passive biped model

Numerical simulation of a passive bipedal walker running in browser. Observe the stable limit cycle.

Publications

Ivan Gudoshnikov, Oleg Makarenkov, Dmitry Rachinskiy (2022). Finite-time stability of polyhedral sweeping processes with application to elastoplastic systems. Accepted to SICON.

Project

Ivan Gudoshnikov, Oleg Makarenkov (2021). Stabilization of the response of cyclically loaded lattice spring models with plasticity. ESAIM: COCV 27 S8.

PDF Project DOI

Ivan Gudoshnikov, Mikhail Kamenskii, Oleg Makarenkov, Natalia Voskovskaia (2020). One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model. Math. Model. Nat. Phenom. 15, 25.

PDF Project DOI

Ivan Gudoshnikov, Oleg Makarenkov (2020). Structurally stable families of periodic solutions in sweeping processes of networks of elastoplastic springs. Phys. D, 406 , 132443.

Project DOI

Lakmi Niwanthi Wadippuli Achchige, Oleg Makarenkov, Ivan Gudoshnikov (2020). Global asymptotic stability of nonconvex sweeping processes. Discrete Contin. Dyn. Syst. Ser. B, 25 (3) : 1129-1139.

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Mikhail Kamenskii, Ivan Gudoshnikov (2018). On the stability of perturbed semigroups in partially ordered Banach spaces. J. Math. Sci. 233, 853-874.

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Ivan Gudoshnikov, Mikhail Kamenskii, Paolo Nistri (2015). Exponential stability of positive semigroups in Banach spaces. J. Math. Anal. Appl. 429, no. 2, 833-848.

Project DOI