Existence of two-point oscillatory solutions of a relay nonautonomous system with multiple eigenvalue of a real symmetric matrix

DOI10.1007/s11253-021-01957-4zbMath1483.34061OpenAlexW4200228646MaRDI QIDQ2058587

Yanyan Li

Publication date: 9 December 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01957-4

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonautonomous smooth dynamical systems (37C60) Hysteresis for ordinary differential equations (34C55)

Related Items (6)

Fixed points of a mapping generated by a system of ordinary differential equations with relay hysteresis ⋮ Control design for a perturbed system with an ambiguous nonlinearity ⋮ Criterion for the existence of two-point oscillatory solution of a perturbed system with a relay ⋮ The existence of a unique fixed point of mappings generated by a multidimensional system with relay hysteresis ⋮ On one type of oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay and a perturbation ⋮ Oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay without entering the saturation zones

Cites Work

• P.D.E.s with hysteresis 30 years later
• Identification of extended Hammerstein systems with hysteresis-type input nonlinearities described by Preisach model
• Differential equations with hysteresis operators. existence of solutions, stability, and oscillations
• Control systems with vector relays
• Periodic solutions of a class of non-autonomous discontinuous second-order differential equations
• Piecewise-smooth dynamical systems. Theory and applications
• On uniqueness and properties of periodic solution of second-order nonautonomous system with discontinuous nonlinearity
• Periodic solutions of a system of differential equations with hysteresis nonlinearity in the presence of eigenvalue zero
• Existence of periodic solutions to automatic control system with relay nonlinearity and sinusoidal external influence
• Existence of periodic modes in automatic control system with a three-position relay
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence of two-point oscillatory solutions of a relay nonautonomous system with multiple eigenvalue of a real symmetric matrix