The Effect of Codimension-Two Bifurcations on the Global Dynamics of a Gear Model

DOI10.1137/090759641zbMath1191.34065OpenAlexW2048093088MaRDI QIDQ5850852

Petri T. Piiroinen, Joanna F. Mason

Publication date: 20 January 2010

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090759641

zbMATH Keywords

simulationstability analysisnumerical methodsnonlinear dynamicsbifurcationsgrazing bifurcationsimpacting systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (8)

Synchronized states and multistability in a random network of coupled discontinuous maps ⋮ Bifurcation and Erosion of Safe Basin for a Spur Gear System ⋮ Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces ⋮ Resonance oscillations in a mass-spring impact oscillator ⋮ Saddle-point solutions and grazing bifurcations in an impacting system ⋮ Degenerate grazing bifurcations in a three-degree-of-freedom impact oscillator ⋮ Suppression of grazing-induced instability in single degree-of-freedom impact oscillators ⋮ Stochastic Response of a Vibro-Impact System via a New Impact-to-Impact Mapping

This page was built for publication: The Effect of Codimension-Two Bifurcations on the Global Dynamics of a Gear Model