Output details
15 - General Engineering
University of Bristol
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Article title
An analytical approach to codimension-2 sliding bifurcations in the dry friction oscillator
Type
D - Journal article
Title of journal
SIAM Journal on Applied Dynamical Systems
Article number
-
Volume number
9
Issue number
3
First page of article
769
ISSN of journal
1536-0040
Year of publication
2010
Number of additional authors
2
Additional information
Knowledge of codimension-2 bifurcations in a system provide understanding of how its dynamics are organised. A dry-friction oscillator is example of piecewise smooth system, where analytic techniques are few and far between. Paper showed for first time that system has infinitely-many codimension-2 bifurcation points. Analytic expressions for two most important bifurcation curves are derived and show excellent agreement with previous numerical studies. Work led to award of Marie Curie Postdoctoral Fellowship to first-author Guardia.
Interdisciplinary
-
Cross-referral requested
-
Research group
B - Applied Nonlinear Mathematics
Proposed double-weighted
No
Double-weighted statement
-
Reserve for a double-weighted output
No
Non-English
No
English abstract
-