Periodic solutions of a system of differential equations with hysteresis nonlinearity in the presence of eigenvalue zero

DOI10.1007/S11253-018-1566-0zbMath1417.34098OpenAlexW2904100118WikidataQ128813453 ScholiaQ128813453MaRDI QIDQ2417334

Yanyan Li

Publication date: 12 June 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-018-1566-0

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Discontinuous ordinary differential equations (34A36) Nonautonomous smooth dynamical systems (37C60)

Related Items (10)

Synchronization in Feedback Cyclic Structures of Oscillators with Hysteresis ⋮ Fixed points of a mapping generated by a system of ordinary differential equations with relay hysteresis ⋮ On the existence of two-point oscillatory solutions of a perturbed relay system with 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 ⋮ 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 ⋮ Existence of \(T/k\)-periodic solutions of a nonlinear nonautonomous system whose matrix has a multiple eigenvalue ⋮ Existence of two-point oscillatory solutions of a relay nonautonomous system with multiple eigenvalue of a real symmetric matrix ⋮ Continuous dependence on parameters and boundedness of solutions to a hysteresis system.

Cites Work

• Differential equations with bistable nonlinearity
• Periodic solutions of second-order differential equations with discontinuous nonlinearity
• Ten issues about hysteresis
• Sturm-Liouville's problem with discontinuous nonlinearity
• Existence of solutions, estimates for the differential operator, and a ``separating set in a boundary value problem for a second-order differential equation with a discontinuous nonlinearity
• On uniqueness and properties of periodic solution of second-order nonautonomous system with discontinuous nonlinearity
• Periodic solutions of discontinuous second order differential systems
• Existence of periodic solutions to automatic control system with relay nonlinearity and sinusoidal external influence
• Mathematical Models for Hysteresis
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