Recent Papers and Current Reprints
- E. Brown, J. Moehlis and P. Holmes (2004) Neural Computation 16 (4): 673-715. On phase reduction and response dynamics of neural oscillator populations.
- R. Goodman, P. Holmes, and M.I. Weinstein (2004) Physica D192 (3/4): 215-248. Strong NLS soliton-defect interactions.
- E. Brown, J. Moehlis, P. Holmes, E. Clayton, J. Rajkowski and G. Aston-Jones (2004). J. Comp. Neurosci. 17 (1): 5-21.The influence of spike rate and stimulus duration on brainstem noradrenergic neurons.
- R. Altendorfer, D. Koditschek and P. Holmes (2004) Int. J. Robotics Research 23 (10-11), 979-999. Stability analyisis of legged locomotion by symmetry-factored return maps.
- R. Altendorfer, D. Koditschek and P. Holmes (2004) Int. J. Robotics Research 23 (10-11), 1001-1012. Stability analyisis of a clock-driven rigid-body SLIP model of RHex.
- J. Seipel, P. Holmes and R.J. Full (2004) Biological Cybern., 91: 76-90. Dynamics and stability of insect locomotion: A hexapedal model for horizontal plane motions.
- R. Ghigliazza and P. Holmes (2004) SIAM J. on Applied Dynamical Systems 3 (4), 636-670. Minimal models of bursting neurons: How multiple currents, conductances and timescales affect bifurcation diagrams.
- Raffaele M. Ghigliazza (2004) Ph.D. Dissertation, Neuromechanical models for insect locomotion.
- R. Ghigliazza and P. Holmes (2004) SIAM J. on Applied Dynamical Systems 3 (4), 671-700. A minimal model of a central pattern generator and motoneurons for insect locomotion.
- T.R. Smith, J. Moehlis and P. Holmes (2005) J. Fluid Mech. 538, 71-110. Low-dimensional models for turbulent plane Couette flow in a minimal flow unit.
- T.R. Smith, J. Moehlis and P. Holmes (2005) Nonlinear Dynamics 41, 275-307. Low-dimensional modelling of turbulence using the proper orthogonal decomposition: A tutorial.
- J.E. Seipel and P. Holmes (2005) Int. J. Robotics Research 24 (8), 657-674. Running in three dimensions: analysis of a point-mass sprung-leg model.
- T.R. Smith, J. Moehlis and P. Holmes (2005) Physica D211, 347-376. Dynamics of an 0:1:2 0(2)-equivarant system: Heteroclinic cycles and periodic orbits.
- R. Ghigliazza and P. Holmes (2005) Regular and Chaotic Dynamics 10 (2), 193-225. Towards a neuromechanical model for insect locomotion: Hybrid dynamical systems.
- R. M. Ghigliazza, R. Altendorfer, P. Holmes and D. Koditschek (2005) SIAM Review 47 (3), 519-549. A simply stabilized running model.
- P. Holmes (2005) Int. J. Bifurcation and Chaos 15(9), 2703-2716. Ninety plus thirty years of nonlinear dynamics: More is different and less is more.
- E. Brown, J. Gao, P. Holmes, R. Bogacz, M. Gilzenrat and J.D. Cohen (2005) Int. Jour. Bifurcation and Chaos 15 (3), 803-826. Simple neural networks that optimize decisions.
- R. Bogacz, E. Brown, J. Moehlis, P. Holmes and J.D. Cohen (2006) Psychological Review 113 (4), 700-765. The physics of optimal decision making: A formal analysis of models of performance in two-alternative forced choice tasks.
- P. Holmes, R.J.Full, D. Koditschek and J. Guckenheimer (2006) SIAM Review 48 (2), 207-304. Dynamics of legged locomotion: Models, analyses and challenges.
- T. McMillen and P. Holmes (2006) J. Math. Psych. 50, 30-57. The dynamics of choice among multiple alternatives
- J. E. Seipel and P. Holmes (2006) Int. J. Robotics Research 25 (9), 889-902. Three dimensional translational dynamics and stability of multi-legged runners.
- T. McMillen and P. Holmes (2006) J. Math. Biol. 53, 843-866. An elastic rod model for anguilliform swimming.
- P.A. Simen, J.D. Cohen and P. Holmes (2006) Neural Networks 19, 1013-1026. Rapid decision threshold modulation by reward rate in a neural network.
- J. Gao and P. Holmes (2007) J. Comp. Neurosci. 22, 39-61. On the dynamics of electrically-coupled neurons with inhibitory synapses.
- R. Kukillaya and P. Holmes (2007) Biological Cybernetics Online first:
DOI 10.1007/s00422-007-0180-2}. A hexapedal jointed-leg model for insect locomotion in the horizontal plane. - Y. Liu, P. Holmes, and J.D. Cohen (2008) Neural Computation 20 (2), 345-373. A neural network model of the Eriksen task: Reduction, analysis, and data-fitting.
- M. Zackenhouse, R. Bogacz, and P. Holmes (2008) (in review). Robust versus optimal strategies for determing the speed-accuracy tradeoff on two-alternative forced choice tasks.
- M. Srinivasan and P. Holmes (2008) J. Theoretical Biology 255, 1-7. How well can spring-mass-like telescoping leg models fit multi-pedal locomotion data?
- P. Eckhoff, P. Holmes, C. Law, P.M. Connolly and J.I. Gold (2008) New J. of Physics 10, doi: 1367-2630/10/1/015006.On diffusion processes with variable drift rates as models for decision making during learning.
- P. Varkonyi, P. Holmes, T. Keimel, K. Hoffman and A.H. Cohen (2008) J. Comp. Neurosci. 25 (2) doi: 10.1007/s10827-008-0076-8. On the derivation and tuning of phase oscillator models for lamprey central pattern generators.
- T. McMillen, T.L. Williams and P. Holmes (2008) PLoS Computational Biology 4 (8), doi:10.1371/journal.pcbi.1000157.Nonlinear muscles, passive viscoelasticity and body taper conspire to create neuro-mechanical phase lags in anguilliform swimmers.
- P. Varkonyi and P. Holmes (2008) SIAM J. on Applied Dynamical Systems 7 (3), 766-794}. On synchronization and traveling waves in chains of relaxation oscillators with an application to lamprey CPG.
- J. Proctor and P. Holmes (2008) Regular & Chaotic Dynamics 13 (4), 267-282.Steering by transient destabilization in piecewise-holonomic models of legged locomotion.
- Y.S. Liu, A.J. Yu, and P. Holmes (2009) Neural Computation 21 (6), 15220-1553 Dynamical analysis of a Bayesian inference model for the Eriksen task.
- S. Feng, P. Holmes, A. Rorie and W.T. Newsome (2009) PLoS Computational Biology 5 (2), doi:10.1371/journal.pcbi.1000284. Can monkeys choose optimally when faced with noisy stimuli and unequal rewards?
- J. Zhang, R. Bogacz and P. Holmes (2009) J. Math. Psych. A comparison of bounded diffusion models for choice in time controlled tasks.
- J.Gao, K-F. Wong-Lin, P. Holmes, P. Simen and J.D. Cohen (2009) Neural Computation (in press). Sequential effects in two-choice reaction time tasks: Decomposition and synthesis of mechanisms.
- P. Eckhoff, K-F. Wong-Lin and P. Holmes (2009) J. Neurosci. 29 (13),4301-4311. Optimality and robustness of a biophysical decision-making model under nonepinephrine modulation.
- X. Zhou, K-F. Wong-Lin and P. Holmes (2009) Neural Computation 21 (8), 2336-2362. Time-varying perturbations can distinguish among integrate-to-threshold models for perceptual decision-making in reaction time tasks.
- J. Gao, G. Schwartz, P. Holmes and M. Berry II (2009) Network: Computation in Neural Systems 20 (2), 106-135. An oscillatory circuit underlying the detection of disruptions in temporally-periodic patterns.
- R. Kukillaya, J. Proctor and P. Holmes (2009) CHAOS: An Interdisciplinary Journal of Nonlinear Science 19 (2), 026107.Neuro-mechanical models for insect locomotion: Stability, maneuverability, and proprioceptive feedback.
- R. Kukillaya and P. Holmes (2009) J. Theoretical Biology (posted on line 29 Aug 2009). A model for insect locomotion in the horizontal plane: Feedforward activation of fast muscles, stability, and robustness.


