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math.DS2026
Limit-Cycle Replication via Chebyshev Pullbacks and a Quadratic Ceiling for Separable Schemes
Olimjon Eshkobilov, Shirali Kadyrov, Khudoyor Mamayusupov
Let \(H(n)\) denote the Hilbert number, i.e.\ the maximal number of limit cycles of planar polynomial vector fields of degree \(\le n\). A classical lower-bound mechanism for \(H(n…
math.DS2018
Analysis of Dynamic Pull-in Voltage of a Graphene MEMS Model
P. Skrzypacz, S. Kadyrov, D. Nurakhmetov +1
Bifurcation analysis of dynamic pull-in for a lumped mass model is presented. The restoring force of the spring is derived based on the nonlinear constitutive stress-strain law and…
math.DS2012
Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and Hausdorff dimension
Shirali Kadyrov, Anke D. Pohl
Recently, Einsiedler and the authors provided a bound in terms of escape of mass for the amount by which upper-semicontinuity for metric entropy fails for diagonal flows on homogen…