On the existence of a periodic mode in a nonlinear system

AS Fursov, RP Mitrev, PA Krylov, TS Todorov - Differential Equations, 2021 - Springer
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A Case Study of Combined Application of Smart Materials in a‎ Thermal Energy Harvester with Vibrating Action

R Mitrev, T Todorov, A Fursov, V Fomichev… - Journal of Applied and …, 2021 - jacm.scu.ac.ir
This paper demonstrates a case study of a combined application of smart materials in a
thermal energy harvester with vibrating action. The conceptual design of the harvester is …

Fixed points of a mapping generated by a system of ordinary differential equations with relay hysteresis

AM Kamachkin, DK Potapov, VV Yevstafyeva - Differential Equations, 2022 - Springer
We consider an-dimensional system of ordinary differential equations with relay hysteresis
on the right-hand side. Under certain conditions, the solution of the system defines a self …

Study of Self-Excited Thermomechanical Oscillator with Shape Memory Alloys

I Yotov, G Todorov, T Todorov - Actuators, 2024 - mdpi.com
In this paper, a new type of self-excited thermomechanical oscillator containing an
oscillating shape memory alloy (SMA) filament with two symmetrically arranged spheres is …

Two-point oscillatory solutions to system with relay hysteresis and nonperiodic external disturbance

AM Kamachkin, DK Potapov… - Applications of …, 2024 - Springer
We study an n-dimensional system of ordinary differential equations with a constant matrix, a
relay-type nonlinearity, and an external disturbance in the right-hand side. We consider a …

Control design for a perturbed system with an ambiguous nonlinearity

VV Yevstafyeva - Automation and Remote Control, 2023 - Springer
The object of this study is an n-dimensional system of ordinary differential equations with an
ambiguous relay nonlinearity under a continuous periodic perturbation. We consider …

On one type of oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay and a perturbation

VV Yevstafyeva, AM Kamachkin, DK Potapov - Differential Equations, 2023 - Springer
A second-order ordinary differential equation with a three-position hysteresis relay
characteristic and a periodic perturbation function is considered. The existence theorem is …

On One Type of Oscillatory Solutions of a Nonautonomous System with Relay Hysteresis

VV Yevstafyeva - Mathematical Notes, 2024 - Springer
We consider an-dimensional system of first-order ordinary differential equations with a
constant matrix having real, simple, and nonzero eigenvalues, with a discontinuous …

Criterion for the Existence of Two-Point Oscillatory Solution of a Perturbed System with a Relay

VV Yevstafyeva - Mathematical Notes, 2023 - Springer
We study an-dimensional system of ordinary differential equations with a constant matrix in
the linear part, a discontinuous hysteresis-type nonlinearity, and a continuous bounded …

The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis

AM Kamachkin, VV Yevstafyeva, DK Potapov - Differential Equations, 2023 - Springer
A multidimensional system of ordinary differential equations with relay hysteresis is
considered. The system parameters are assumed to be such that there exists a family of …