Philip Holmes

  • Princeton University, Princeton, NJ, USA

According to our database1, Philip Holmes authored at least 54 papers between 1978 and 2019.

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PhD thesis 


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Heterogeneous Inputs to Central Pattern Generators Can Shape Insect Gaits.
SIAM J. Appl. Dyn. Syst., 2019

On Phase Reduction and Time Period of Noisy Oscillators.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

Gait Transitions in a Phase Oscillator Model of an Insect Central Pattern Generator.
SIAM J. Appl. Dyn. Syst., 2018

A Genealogy of Convex Solids Via Local and Global Bifurcations of Gradient Vector Fields.
J. Nonlinear Sci., 2016

Optimality and Some of Its Discontents: Successes and Shortcomings of Existing Models for Binary Decisions.
Top. Cogn. Sci., 2014

Erratum to: Some Joys and Trials of Mathematical Neuroscience.
J. Nonlinear Sci., 2014

Some Joys and Trials of Mathematical Neuroscience.
J. Nonlinear Sci., 2014

A Decision Task in a Social Context: Human Experiments, Models, and Analyses of Behavioral Data.
Proc. IEEE, 2012

Neural Dynamics, Bifurcations, and Firing Rates in a Quadratic Integrate-and-Fire Model with a Recovery Variable. I: Deterministic Behavior.
Neural Comput., 2012

Towards optimization of a human-inspired heuristic for solving explore-exploit problems.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Dimension Reduction and Dynamics of a Spiking Neural Network Model for Decision Making under Neuromodulation.
SIAM J. Appl. Dyn. Syst., 2011

Can Monkeys Choose Optimally When Faced with Noisy Stimuli and Unequal Rewards?
PLoS Comput. Biol., 2009

Time-Varying Perturbations Can Distinguish Among Integrate-to-Threshold Models for Perceptual Decision Making in Reaction Time Tasks.
Neural Comput., 2009

Dynamical Analysis of Bayesian Inference Models for the Eriksen Task.
Neural Comput., 2009

Sequential Effects in Two-Choice Reaction Time Tasks: Decomposition and Synthesis of Mechanisms.
Neural Comput., 2009

On Synchronization and Traveling Waves in Chains of Relaxation Oscillators with an Application to Lamprey CPG.
SIAM J. Appl. Dyn. Syst., 2008

A Neural Network Model of the Eriksen Task: Reduction, Analysis, and Data Fitting.
Neural Comput., 2008

On the derivation and tuning of phase oscillator models for lamprey central pattern generators.
J. Comput. Neurosci., 2008

A simple decision task in a social context: Experiments, a model, and preliminary analyses of behavioral data.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

History of dynamical systems.
Scholarpedia, 2007

On the dynamics of electrically-coupled neurons with inhibitory synapses.
J. Comput. Neurosci., 2007

The Dynamics of Legged Locomotion: Models, Analyses, and Challenges.
SIAM Rev., 2006

Scholarpedia, 2006

Rapid decision threshold modulation by reward rate in a neural network.
Neural Networks, 2006

Three-dimensional Translational Dynamics and Stability of Multi-legged Runners.
Int. J. Robotics Res., 2006

Running in Three Dimensions: Analysis of a Point-mass Sprung-leg Model.
Int. J. Robotics Res., 2005

Ninety Plus Thirty Years of Nonlinear Dynamics: Less is More and More is Different.
Int. J. Bifurc. Chaos, 2005

Simple Neural Networks that Optimize Decisions.
Int. J. Bifurc. Chaos, 2005

Optimal Decisions: From Neural Spikes, through Stochastic Differential Equations, to Behavior.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2005

A Minimal Model of a Central Pattern Generator and Motoneurons for Insect Locomotion.
SIAM J. Appl. Dyn. Syst., 2004

Minimal Models of Bursting Neurons: How Multiple Currents, Conductances, and Timescales Affect Bifurcation Diagrams.
SIAM J. Appl. Dyn. Syst., 2004

On the Phase Reduction and Response Dynamics of Neural Oscillator Populations.
Neural Comput., 2004

The Influence of Spike Rate and Stimulus Duration on Noradrenergic Neurons.
J. Comput. Neurosci., 2004

Stability Analysis of a Clock-Driven Rigid-Body SLIP Model for RHex.
Int. J. Robotics Res., 2004

Stability Analysis of Legged Locomotion Models by Symmetry-Factored Return Maps.
Int. J. Robotics Res., 2004

Dynamics and stability of insect locomotion: a hexapedal model for horizontal plane motions.
Biol. Cybern., 2004

A Simply Stabilized Running Model.
SIAM J. Appl. Dyn. Syst., 2003

Mechanical models for insect locomotion: active muscles and energy losses.
Biol. Cybern., 2003

Towards a Factored Analysis of Legged Locomotion Models.
Proceedings of the 2003 IEEE International Conference on Robotics and Automation, 2003

Modeling and control of minimal flow unit turbulence in plane Couette flow.
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

Dynamics and stability of legged locomotion in the horizontal plane: a test case using insects.
Biol. Cybern., 2002

J. Nonlinear Sci., 2001

Nonlinear Propagation of Light in One-Dimensional Periodic Structures.
J. Nonlinear Sci., 2001

Euler Buckling in a Potential Field.
J. Nonlinear Sci., 2000

Mechanical models for insect locomotion: dynamics and stability in the horizontal plane - II. Application.
Biol. Cybern., 2000

Mechanical models for insect locomotion: dynamics and stability in the horizontal plane I. Theory.
Biol. Cybern., 2000

Undergraduate computational science education (panel session).
Proceedings of the 31st SIGCSE Technical Symposium on Computer Science Education, 2000

Dynamics and Bifurcations of a Planar Map Modeling Dispersion Managed Breathers.
SIAM J. Appl. Math., 1999

Suppression of bursting.
Autom., 1997

The Essence of Chaos (E. N. Lorenz).
SIAM Rev., 1995

Collective Oscillations in the Visual Cortex.
Proceedings of the Advances in Neural Information Processing Systems 2, 1989

Nonlinear oscillators, iterated maps, symbolic dynamics, and knotted orbits.
Proc. IEEE, 1987

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Applied Mathematical Sciences 42, Springer, ISBN: 978-1-4612-1140-2, 1983

Bifurcation to divergence and flutter in flow-induced oscillations: an infinite dimensional analysis.
Autom., 1978