Stability of periodic solutions for hysteresis-delay differential equations

DOI10.1007/S10884-018-9664-0zbMath1430.34078arXiv1710.07444OpenAlexW2963417813MaRDI QIDQ2333288

Eyal Ron, Pavel L. Gurevich

Publication date: 12 November 2019

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07444

zbMATH Keywords

hysteresisstabilityperiodic orbitsdelay

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Hysteresis for ordinary differential equations (34C55)

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Cites Work

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• Periodic solutions of parabolic problems with hysteresis on the boundary
• Symmetric periodic solutions of parabolic problems with discontinuous hysteresis
• Complex dynamics in a hysteretic relay feedback system with delay
• A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Introduction to functional differential equations
• Periodic solutions of the Stefan problem with hysteresis-type boundary conditions
• Differential models of hysteresis
• Nonlinear semigroups, partial differential equations and attractors. Proceedings of a symposium held in Washington, DC, August 3-7, 1987
• Differential equations, hysteresis, and time delay
• Delay equations. Functional-, complex-, and nonlinear analysis
• Hysteresis and phase transitions
• A dynamic model for a thermostat
• Adaptive control for a class of nonlinear time-delay systems preceded by unknown hysteresis
• Periodic solutions and their bifurcations in a non-smooth second-order delay differential equation
• On Periodicity of Solutions For Thermocontrol Problems with Hysteresis-Type Switches
• Periodic solutions for a thermostat control problem
• An Application of Glicksberg’s Theorem to Set-Valued Integral Equations Arising in the Theory of Thermostats
• Analysis of thermostat models
• Periodic solutions of linear systems coupled with relay
• Stabilization of amplitude of oscillations via relay delay control
• Control of delay systems with relay
• Relay-Stabilization and Bifurcations of Unstable SISO Processes With Time Delay
• Dynamics of Symmetric Dynamical Systems with Delayed Switching
• Local stability of limit cycles for time-delay relay-feedback systems
• Generalized Sobolev spaces and their application to boundary problems for partial differential equations

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