Work

Analytical Calculation of Fixed Point of Operator Generated by Multidimensional System With Relay Hysteresis

Year: 2024

Type: article

Abstract: We consider a multidimensional system of ordinary differential equations with relay nonlinearity of a hysteresis type in a special form that has made it possible to analytically calculate the fixed point of the operator generated by this system. We propose procedures for selecting a vector defining the location of discontinuity surface (switch surfaces) in the phase space such that there exists a unique fixed point on one of these surfaces. Examples representing the obtained theoretical results are given.

Source: Дифференциальные уравнения

DOI: 10.31857/s0374064124080029

Authors: A. M Kamachkin, V. V Yevstafyeva, D. K Potapov

Institution: St Petersburg University

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Russian Science Foundation

Award: G5757411502