On a bifurcation governed by hysteresis nonlinearity

DOI10.1007/s00030-002-8120-2zbMath1013.34036OpenAlexW2157532438MaRDI QIDQ1597695

Alexander M. Krasnosel'skii, Dmitrii I. Rachinskii

Publication date: 30 May 2002

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-002-8120-2

zbMATH Keywords

hysteresis operatorshysteresis operatorbifurcation of solutionslarge cyclescontrol theory equationHopf bifurcation at infinitylarge periodic solutionsPrandtl-Ishlinski hysteresis nonlinearity

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hysteresis for ordinary differential equations (34C55) Equations with nonlinear hysteresis operators (47J40)

Related Items (7)

Differential equations with hysteresis operators. existence of solutions, stability, and oscillations ⋮ Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis ⋮ Realization of arbitrary hysteresis by a low-dimensional gradient flow ⋮ Pattern formation in parabolic equations containing hysteresis with diffusive thresholds ⋮ Kurzweil integral representation of interacting Prandtl-Ishlinskii operators ⋮ Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis ⋮ Asymptotics of sign-changing patterns in hysteretic systems with diffusive thresholds

This page was built for publication: On a bifurcation governed by hysteresis nonlinearity