Peer Reviewed Journals

Piiroinen, P.T., Dankowicz, H.J., Nordmark, A.B. (2001) 'On a Normal-Formal Analysis for a Class of Passive Bipedal Walkers'. International Journal of Bifurcation and Chaos, 11 (9):2411-2425. [Details]

Dankowicz, H., Piiroinen, P.T., Nordmark, A.B. (2002) 'Low-Velocity Impacts of Quasiperiodic Oscillations'. Chaos Solitons & Fractals, 14 :241-255. [Details]

Dankowicz, H., Piiroinen, P.T. (2002) 'Exploiting discontinuities for stabilization of recurrent motions'. Dynamical Systems, 17 :317-342. [Details]

Piiroinen, P.T., Dankowicz, H.J., Nordmark, A.B. (2003) 'Breaking Symmetries and Constraints'. Transitions from 2D to 3D in Passive Walkers, Multibody System Dynamics, 10 (2):147-176. [Details]

Piiroinen, P.T., Virgin, L.N., Champneys, A.R (2004) 'Chaos and Period-Adding; Experimental and Numerical Verification of the Grazing Bifurcation'. Journal of Nonlinear Science, 14 (4):383-404. [Details]

Piiroinen, P.T., Dankowicz, H.J. (2005) 'Low-cost control of Repetitive Gait in Passive Bipedal Walkers'. International Journal of Bifurcation and Chaos, 15 (6):1959-1973. [Details]

Eyres, R.D., Piiroinen, P.T., Champneys, A.R., Lieven, N.A.J. (2005) 'Grazing Bifurcations and Chaos in the Dynamics of a Hydraulic Damper with Relief Valves'. SIAM J. Applied Dynamical Systems, 4 (4):1076-1106. [Details]

Budd, C.J., Piiroinen, P.T. (2006) 'Corner bifurcations in non-smoothly forced impact oscillators'. Physica D, 220 :127-145. [Details]

Kowalczyk, P., di Bernardo, M., Champneys, A.R., Hogan, S.J., Homer, M., Piiroinen, P.T., Kuznetsov, Yu.A., Nordmark, A.B (2006) 'Two-parameter discontinuity-induced bifurcations of limit cycles: classifications and open problems'. International Journal of Bifurcation and Chaos, 16 (3):601-629. [Details]

Batako, A.D.L., Lalor, M.J., Piiroinen, P.T. (2007) 'Numerical analysis of a Friction-Driven Vibro-Impact System'. Journal of Sound and Vibration, 308 (03-May):392-404. [Details]

Piiroinen, P.T., Kuznetsov, Yu.A. (2008) 'An event-driven method to simulate Filippov systems with accurate computing of sliding motions'. ACM Transactions on Mathematical Software, article 13, 34 (3). [DOI] [Details]

Batako, A.D.L., Piiroinen, P.T. (2008) '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):1925-1934. [Details]

Kowalczyk, P., Piiroinen, P.T. (2008) 'Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator'. Physica D, 237 :1053-1073. [DOI] [Details]

Budd, C., di Bernardo, M., Champneys, C., Nordmark, A.B., Olivar, G., Piiroinen, P.T. (2008) 'Bifurcations in Piecewise Smooth Systems'. SIAM Review, 50 (4):629-701. [Details]

Nordmark A.B. and Piiroinen P.T. (2009) 'Simulation and stability analysis of impacting systems with complete chattering'. Nonlinear Dynamics, 58 (1):85-106. [Details]

Mason J. and Piiroinen P.T. (2009) 'The effect of codimension-two bifurcations on the global dynamics in a gear model'. Siam Journal On Applied Dynamical Systems, 8 (4):1694-1711. [Details]

Mason, J., Piiroinen, P.T., Wilson, R.E., Homer, M.E. (2009) 'Basin of attraction in nonsmooth models of gear rattle'. International Journal Of Bifurcation And Chaos, 19 (1):203-224. [Details]

Mason J. and Piiroinen P.T. (2011) 'Interactions Between Global and Grazing Bifurcations in an Impacting System'. Chaos, 21 (1). [Details]

Alzate R., Piiroinen P.T. and di Bernardo M. (2012) 'From complete to incomplete chattering: a novel route to chaos in impacting cam-follower systems'. International Journal Of Bifurcation And Chaos, . [Details]

Mason J. and Piiroinen P.T. (2012) 'Accessible Saddles and Grazing Bifurcations in an Impacting System'. Chaos, 22 (1). [Details]

Humphries N. and Piiroinen P.T. (2012) 'A discontinuity-geometry view of the relationship between saddle-node and grazing bifurcations'. Physica D, . [Details]

 

Conference Publications

Piiroinen, P.T. (2001) Modelling gait pathologies using insight from passive, anthropomorphic, bipedal walkers Proceedings of Multibody Dynamics in Sweden II Frostavallen, Sweden, [Details]

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

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

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

       

Conference Paper

Piiroinen, P.T. (2002) Stabilizing Control of 2D and 3D Passive Walkers. Ninth Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures. Blacksburg, Virginia, USA: Conference Paper [Details]

Piiroinen, P.T. (2002) Exploiting discontinuities for stabilization of recurrent motion. 14th US National Congress of Theoretical an Applied Mechanics. Blacksburg, Virginia, USA: Conference Paper [Details]

Piiroinen, P.T. (2003) Exploiting discontinuities for the stabilization of two-legged passive walkers. British Applied Mathematics Conference. Southampton, UK: Conference Paper [Details]

Piiroinen, P.T. (2003) Using discontinuities for stabilization of recurrent motion. SIAM conference. Snowbird, Utah, USA: Conference Paper [Details]

Piiroinen, P.T. (2004) Numerical bifurcation Analysis of vibro-impact systems. International Center of Vibro-Impact Systems (ICoVIS) inaugural meeting. Loughborough: Conference Paper [Details]

Piiroinen, P.T. (2004) Shooting methods for continuation of sliding bifurcation. WBCA. Sevilla, Spain: Conference Paper [Details]

Piiroinen, P.T. (2005) Numerical analysis of chattering orbits in vibro-impact systems. EUROMECH Nonlinear Mechanics Conference. Eindhoven, The Netherlands: Conference Paper [Details]

Piiroinen, P.T. (2005) Dynamic analysis of Walking. Biomechanics Symposium. Bristol, UK: Conference Paper [Details]

Piiroinen, P.T. (2005) Grazing and Chattering in Vibro-Impact Systems. SIAM conference. Snowbird, Utah, USA: Conference Paper [Details]

Piiroinen, P.T. (2006) Numerical Bifurcation Analysis of a Friction-Driven Vibro-Impact System. 1st International Conference on Vibro-Impact Systems. Loughborough, UK: Conference Paper [Details]

Piiroinen, P.T. (2008) Numerical Analysis of Nonsmooth Systems. EUROMECH 500: Non-smooth Problems in Vehicle System Analysis - Analysis and Solutions. Lyngby, Denmark: Conference Paper [Details]

Piiroinen, P.T. (2008) Domains of Attraction in Mechanical Systems with Impacts. International Conference on Mathematical Problems in Engineering, Aerospace and sciences. Genoa, Italy: Conference Paper [Details]