Continuous dependence on parameters and boundedness of solutions to a hysteresis system.
type: Item
instance of: scholarly article
title: Continuous dependence on parameters and boundedness of solutions to a hysteresis system.
DOI: 10.21136/AM.2021.0085-20
author: Alexander M. Kamachkin
author: Dmitriy K. Potapov
author: Victoria V. Yevstafyeva
published in: Applications of Mathematics
publication date: 2022-02-22T00:00:00Z
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C55
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 7478517
zbMATH Keywords: ODE system
zbMATH Keywords: hysteresis relay
zbMATH Keywords: external disturbance
zbMATH Keywords: bounded solution
zbMATH Keywords: periodic solution
MaRDI profile type: Publication
cites work: Q5582924
cites work: Dynamics of Discrete Time Systems with a Hysteresis Stop Operator
cites work: Q4840538
cites work: Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: case study of a ring of oscillators
cites work: Q5297490
cites work: Weak differentiability of scalar hysteresis operators
cites work: Hysteresis and phase transitions
cites work: Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
cites work: Identification of extended Hammerstein systems with hysteresis-type input nonlinearities described by Preisach model
cites work: Periodic perturbations of Hamiltonian systems
cites work: Fast switches in relay feedback systems
cites work: Existence of periodic solutions to automatic control system with relay nonlinearity and sinusoidal external influence
cites work: Q5352115
cites work: On uniqueness and properties of periodic solution of second-order nonautonomous system with discontinuous nonlinearity
cites work: Existence of periodic modes in automatic control system with a three-position relay
cites work: Q3994608
cites work: Differential equations with hysteresis operators. existence of solutions, stability, and oscillations
cites work: Mathematical Models for Hysteresis
cites work: Dynamics of systems with Preisach memory near equilibria.
cites work: Q2753177
cites work: Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator.
cites work: Existence and computation of stable modes in relay systems
cites work: Q5409528
cites work: Realization of arbitrary hysteresis by a low-dimensional gradient flow
cites work: Q3688158
cites work: Dynamics of relay relaxation oscillators
cites work: Differential models of hysteresis
cites work: Ten issues about hysteresis
cites work: P.D.E.s with hysteresis 30 years later
cites work: On existence conditions for a two-point oscillating periodic solution in an non-autonomous relay system with a Hurwitz matrix
cites work: Periodic solutions of a system of differential equations with hysteresis nonlinearity in the presence of eigenvalue zero
cites work: Autotuning of pid controllers: relay feedback approach
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description: scientific article; zbMATH DE number 7478517