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Resonance in Preisach systems

Pavel Krejčí (2000)

Applications of Mathematics

This paper deals with the asymptotic behavior as $t \to \infty$ of solutions $u$ to the forced Preisach oscillator equation $\ddot{w} (t) + u (t) = ψ (t)$ , $w = u + 𝒫 [u]$ , where $𝒫$ is a Preisach hysteresis operator, $ψ \in L^{\infty} (0, \infty)$ is a given function and $t \geq 0$ is the time variable. We establish an explicit asymptotic relation between the Preisach measure and the function $ψ$ (or, in a more physical terminology, a balance condition between the hysteresis dissipation and the external forcing) which guarantees that every solution remains bounded for all times. Examples show...

Displaying 81 – 86 of 86

Resonance in Preisach systems

Results on common fixed points.

Results on the existence and convergence of best proximity points.

Revisiting Cauty's proof of the Schauder conjecture.

Robinson's implicit function theorem

Robustness of Mann type algorithm with perturbed mapping for nonexpansive mappings in Banach spaces.

Currently displaying 81 – 86 of 86