Petri Piiroinen's List of Publications

Mason, J. and Piiroinen, P.T., Accessible Saddles and Grazing Bifurcations in an Impacting System, Accepted for publication in CHAOS, 2012.

Alzate, R., Piiroinen, P.T. and di Bernardo, M., From complete to incomplete chattering: a novel route to chaos in impacting cam-follower systems, Accepted for publication in International Journal of Bifurcation and Chaos, 2012.

Humphries, N. and Piiroinen, P.T., A discontinuity-geometry view of the relationship between saddle-node and grazing bifurcations, Accepted for publication in Physica D, 2012.

Mason, J. and Piiroinen, P.T., Interactions between global and grazing bifurcations in an impacting system, CHAOS 21(1), article no. 013113, 2011.

Mason, J. and Piiroinen, P.T., The effect of codimension-two bifurcations on the global dynamics in a gear model, SIAM Journal of Dynamical Systems 8(4), pp. 1694-1711, 2009.

Piiroinen, P.T. and Mason, J.M., Smooth and nonsmooth tangencies in a gear model with impacts, IFAC Proceedings Volumes (IFAC-PapersOnline) Volume 2 (PART 1) (2nd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS09), pp. 93-97, 2009.

Nordmark, A.B. and Piiroinen, P.T., Simulation and stability analysis of impacting systems with complete chattering, Nonlinear Dynamics 58(1), pp. 85-106, 2009.

Mason, J., Piiroinen, P.T., Wilson, R.E. and Homer, M.E., Basin of attraction in nonsmooth models of gear rattle, International Journal of Bifurcation and Chaos 19(1), pp. 203-224, 2009.

Batako, A.D.L. and Piiroinen, P.T., Friction-Driven Vibro-Impact System for Percussive-Rotary Drilling - A Numerical Study of the System Dynamics, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222(10), pp. 1925-1934, 2008.

Budd, C., di Bernardo, M., Champneys, C., Nordmark, A.B., Olivar, G. and Piiroinen, P.T., Bifurcations in Piecewise Smooth Systems, SIAM Review 50(4), pp. 629-701, November 2008.

Kowalczyk, P. and Piiroinen, P.T. Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator, Physica D 237, pp. 1053-1073, 2008.

Piiroinen, P.T. and Kuznetsov, Yu.A., An event-driven method to simulate Filippov systems with accurate computing of sliding motions, ACM Transactions on Mathematical Software 34(3), 2008.

Batako, A.D.L., Lalor, M.J. and Piiroinen, P.T., Numerical analysis of a Friction-Driven Vibro-Impact System, Journal of Sound and Vibration 308(3-5), pp. 392-404, 2007.
 
Budd, C.J. and Piiroinen, P.T., Corner bifurcations in non-smoothly forced impact oscillators, Physica D 220, pp. 127-145, 2006.

Kowalczyk, P., di Bernardo, M., Champneys, A.R., Hogan, S.J., Homer, M., Piiroinen, P.T., Kuznetsov, Yu.A. and Nordmark, A.B., Two-parameter discontinuity-induced bifurcations of limit cycles: classifications and open problems, International Journal of Bifurcation and Chaos 16(3), pp. 601--629, 2006.
 
Eyres, R.D., Piiroinen, P.T., Champneys, A.R. and Lieven, N.A.J., Grazing Bifurcations and Chaos in the Dynamics of a Hydraulic Damper with Relief Valves, SIAM J. Applied Dynamical Systems 4(4), pp. 1076--1106, 2005.
 
Piiroinen, P.T. and Dankowicz, H.J., Low-cost control of Repetitive Gait in Passive Bipedal Walkers, International Journal of Bifurcation and Chaos 15(6), pp. 1959--1973, 2005.

Piiroinen, P.T., Virgin, L.N. and Champneys, A.R., Chaos and Period-Adding; Experimental and Numerical Verification of the Grazing Bifurcation, Journal of Nonlinear Science 14(4), pp. 383-404, 2004.

di Bernardo, M., Kowalczyk, P., and Piiroinen, P.T., Numerical Detection and continuation of sliding bifurcations in a Dry-Friction Oscillator, In Proceedings of 21st International Congress of Theoretical and Applied Mechanics, Warsaw, Poland, 2004.

Piiroinen, P.T., Dankowicz, H.J. and Nordmark, A.B., Breaking Symmetries and Constraints: Transitions from 2D to 3D in Passive Walkers, Multibody System Dynamics 10(2), pp. 147-176, 2003.

Dankowicz, H., Piiroinen, P.T. and Nordmark, A.B., Low-Velocity Impacts of Quasiperiodic Oscillations, Chaos Solitons & Fractals 14, pp. 241-255, 2002.

Dankowicz, H. and Piiroinen, P.T., Exploiting discontinuities for stabilization of recurrent motions, Dynamical Systems 17, pp. 317-342, 2002.

Dankowicz, H.J., Piiroinen, P.T and Nordmark, A.B., Grazing Bifurcations of Initially Quasi-Periodic System Attractors, In Proceedings of ASME DETC'01, Pittsburgh, Pennsylvania, USA, 2001. 

Piiroinen, P.T., Dankowicz, H.J. and Nordmark, A.B., On a Normal-Formal Analysis for a Class of Passive Bipedal Walkers, International Journal of Bifurcation and Chaos 11(9), pp. 2411-2425, 2001.