Existence of Impact Period-1 Orbit After Grazing Bifurcation for a Soft Impacting System

DOI10.1142/S0218127421501030zbMath1501.34022OpenAlexW3176587462MaRDI QIDQ4997469

Shihui Fu

Publication date: 29 June 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421501030

zbMATH Keywords

periodic orbitgrazing bifurcationimpact system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• Singularities in soft-impacting systems
• A BIPARAMETRIC BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• Geometrical insight into non-smooth bifurcations of a soft impact oscillator
• ON THE EXISTENCE OF A STABLE PERIODIC SOLUTION OF AN IMPACTING OSCILLATOR WITH TWO FENDERS
• LIMIT CYCLE BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• New Discontinuity-Induced Bifurcations in Chua's Circuit
• Experimental study of impact oscillator with one-sided elastic constraint

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