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- Mario di Bernardo, Chris J. Budd, +4 authors Petri T. Piiroinen
- SIAM Review
- 2008

A review is presented of the one-parameter, nonsmooth bifurcations that occur in a variety of continuous-time piecewise-smooth dynamical systems. Motivated by applications, a pragmatic approach is taken to defining a discontinuity-induced bifurcation (DIB) as a nontrivial interaction of a limit set with respect to a codimension-one discontinuity boundary in… (More)

- Petri T. Piiroinen, Yuri A. Kuznetsov
- ACM Trans. Math. Softw.
- 2008

This article describes how to use smooth solvers for simulation of a class of piecewise smooth systems of ordinary differential equations, called Filippov systems, with discontinuous vector fields. In these systems constrained motion along a discontinuity surface (so-called sliding) is possible and requires special treatment numerically. The introduced… (More)

- Petri T. Piiroinen, Harry Dankowicz
- I. J. Bifurcation and Chaos
- 2005

- Petri T. Piiroinen, Lawrence N. Virgin, Alan R. Champneys
- J. Nonlinear Science
- 2004

- Piotr Kowalczyk, Mario di Bernardo, +5 authors Arne B. Nordmark
- I. J. Bifurcation and Chaos
- 2006

- Denis O'Hora, Rick Dale, Petri T. Piiroinen, Fionnuala Connolly
- Scientific reports
- 2013

Within decisions, perceived alternatives compete until one is preferred. Across decisions, the playing field on which these alternatives compete evolves to favor certain alternatives. Mouse cursor trajectories provide rich continuous information related to such cognitive processes during decision making. In three experiments, participants learned to choose… (More)

- Kevin Doherty, Martin Meere, Petri T Piiroinen
- Mathematical biosciences
- 2014

Centromere Protein A (CENP-A) is a histone H3 variant found at mammalian centromeres. Unlike canonical histones which are incorporated at centromeres in S phase, CENP-A is deposited at centromeric chromatin in G1. Although recent studies have elucidated many of the molecular details associated with the CENP-A incorporation pathway, some aspects of the… (More)

- P. Kowalczyk, M. di Bernardo, +5 authors P. T. Piiroinen
- 2005

This paper proposes a strategy for the classification of codimension-two grazing bifurcations of limit cycles in piecewise smooth systems of ordinary differential equations. Such nonsmooth transitions (C-bifurcations) occur when the cycle interacts with a discontinuity boundary of phase space in a non-generic way. Several such codimension-one events have… (More)

- Petri T. Piiroinen, Harry Dankowicz, Arne B. Nordmark
- I. J. Bifurcation and Chaos
- 2001

- Joanna F. Mason, Petri T. Piiroinen
- SIAM J. Applied Dynamical Systems
- 2009