The regularized visible fold revisited

DOI10.1007/s00332-020-09627-8zbMath1469.34029arXiv1908.06781OpenAlexW3025858899MaRDI QIDQ2022656

K. Uldall Kristiansen

Publication date: 29 April 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06781

zbMATH Keywords

frictionblowupgeometric singular perturbation theorypiecewise smooth systemsgrazing bifurcationspiecewise smooth bifurcations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)

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Two regularizations of the grazing-sliding bifurcation giving non equivalent dynamics, Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics, Singularly perturbed oscillators with exponential nonlinearities, Nonlinear sliding and nonlinear regularization of piecewise smooth system, Blowup analysis of a hysteresis model based upon singular perturbations, Correction to: ``The regularized visible fold revisited, Singularly perturbed boundary-equilibrium bifurcations, Singularly perturbed boundary-focus bifurcations, Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles, Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit, The number of limit cycles for regularized piecewise polynomial systems is unbounded, A Stiction Oscillator under Slowly Varying Forcing: Uncovering Small Scale Phenomena using Blowup, On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities, Two-stroke relaxation oscillators, Regularization of Isolated Codimension-2 Discontinuity Sets

Uses Software

• DLMF

Cites Work

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