Sliding cycles of regularized piecewise linear visible-invisible twofolds (Q6594626)

scientific article; zbMATH DE number 7902963

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English	Sliding cycles of regularized piecewise linear visible-invisible twofolds	scientific article; zbMATH DE number 7902963

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scholarly article

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title

Sliding cycles of regularized piecewise linear visible-invisible twofolds (English)

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Qualitative Theory of Dynamical Systems

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publication date

28 August 2024

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zbMATH Keywords

limit cycles

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piecewise linear systems

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regularization function

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slow divergence integral

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MaRDI profile type

Publication

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cites work

Asymptotic lower bounds on Hilbert numbers using canard cycles

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Regularization around a generic codimension one fold-fold singularity

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Integral characterization for Poincaré half-maps in planar linear systems

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Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems

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A succinct characterization of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness

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Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line

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A new simple proof for Lum-Chua's conjecture

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More limit cycles than expected in Liénard equations

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Canard cycles and center manifolds

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Canard cycles with two breaking parameters

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The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line

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Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones

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Canonical Discontinuous Planar Piecewise Linear Systems

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Planar Filippov Systems with Maximal Crossing Set and Piecewise Linear Focus Dynamics

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Generic bifurcations of low codimension of planar Filippov systems

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The number of limit cycles for regularized piecewise polynomial systems is unbounded

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The planar discontinuous piecewise linear refracting systems have at most one limit cycle

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LOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION

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Identifiers

zbMATH Open document ID

1548.34023

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DOI

10.1007/s12346-024-01111-y

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6594626