Philip Holmes

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

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2019

Heterogeneous Inputs to Central Pattern Generators Can Shape Insect Gaits.

Zahra Aminzare, Philip Holmes

SIAM J. Appl. Dyn. Syst., 2019

On Phase Reduction and Time Period of Noisy Oscillators.

Zahra Aminzare, Philip Holmes, Vaibhav Srivastava

Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018

Gait Transitions in a Phase Oscillator Model of an Insect Central Pattern Generator.

Zahra Aminzare, Vaibhav Srivastava, Philip Holmes

SIAM J. Appl. Dyn. Syst., 2018

2016

A Genealogy of Convex Solids Via Local and Global Bifurcations of Gradient Vector Fields.

Gábor Domokos, Philip Holmes, Zsolt Lángi

J. Nonlinear Sci., 2016

2014

Optimality and Some of Its Discontents: Successes and Shortcomings of Existing Models for Binary Decisions.

Philip Holmes, Jonathan D. Cohen

Top. Cogn. Sci., 2014

Erratum to: Some Joys and Trials of Mathematical Neuroscience.

Philip Holmes

J. Nonlinear Sci., 2014

Some Joys and Trials of Mathematical Neuroscience.

Philip Holmes

J. Nonlinear Sci., 2014

2012

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

Andrea Nedic, Damon Tomlin, Philip Holmes, Deborah A. Prentice, Jonathan D. Cohen

Proc. IEEE, 2012

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

Eli Shlizerman, Philip Holmes

Neural Comput., 2012

Towards optimization of a human-inspired heuristic for solving explore-exploit problems.

Paul Reverdy, Robert C. Wilson, Philip Holmes, Naomi Ehrich Leonard

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

2011

Dimension Reduction and Dynamics of a Spiking Neural Network Model for Decision Making under Neuromodulation.

Philip Eckhoff, KongFatt Wong-Lin, Philip Holmes

SIAM J. Appl. Dyn. Syst., 2011

2009

Can Monkeys Choose Optimally When Faced with Noisy Stimuli and Unequal Rewards?

Samuel Feng, Philip Holmes, Alan Rorie, William T. Newsome

PLoS Comput. Biol., 2009

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

Xiang Zhou, KongFatt Wong-Lin, Philip Holmes

Neural Comput., 2009

Dynamical Analysis of Bayesian Inference Models for the Eriksen Task.

Yuan Sophie Liu, Angela J. Yu, Philip Holmes

Neural Comput., 2009

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

Juan Gao, KongFatt Wong-Lin, Philip Holmes, Patrick Simen, Jonathan D. Cohen

Neural Comput., 2009

2008

On Synchronization and Traveling Waves in Chains of Relaxation Oscillators with an Application to Lamprey CPG.

Péter L. Várkonyi, Philip Holmes

SIAM J. Appl. Dyn. Syst., 2008

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

Yuan Sophie Liu, Philip Holmes, Jonathan D. Cohen

Neural Comput., 2008

On the derivation and tuning of phase oscillator models for lamprey central pattern generators.

Péter L. Várkonyi, Tim Kiemel, Kathleen Hoffman, Avis H. Cohen, Philip Holmes

J. Comput. Neurosci., 2008

A simple decision task in a social context: Experiments, a model, and preliminary analyses of behavioral data.

Andrea Nedic, Damon Tomlin, Philip Holmes, Deborah A. Prentice, Jonathan D. Cohen

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2007

History of dynamical systems.

Philip Holmes

Scholarpedia, 2007

On the dynamics of electrically-coupled neurons with inhibitory synapses.

Juan Gao, Philip Holmes

J. Comput. Neurosci., 2007

2006

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

Philip Holmes, Robert J. Full, Daniel E. Koditschek, John Guckenheimer

SIAM Rev., 2006

Stability.

Philip Holmes, Eric Shea-Brown

Scholarpedia, 2006

Rapid decision threshold modulation by reward rate in a neural network.

Patrick Simen, Jonathan D. Cohen, Philip Holmes

Neural Networks, 2006

Three-dimensional Translational Dynamics and Stability of Multi-legged Runners.

Justin E. Seipel, Philip Holmes

Int. J. Robotics Res., 2006

2005

Running in Three Dimensions: Analysis of a Point-mass Sprung-leg Model.

Justin E. Seipel, Philip Holmes

Int. J. Robotics Res., 2005

Ninety Plus Thirty Years of Nonlinear Dynamics: Less is More and More is Different.

Philip Holmes

Int. J. Bifurc. Chaos, 2005

Simple Neural Networks that Optimize Decisions.

Eric Brown, Juan Gao, Philip Holmes, Rafal Bogacz, Mark S. Gilzenrat, Jonathan D. Cohen

Int. J. Bifurc. Chaos, 2005

Optimal Decisions: From Neural Spikes, through Stochastic Differential Equations, to Behavior.

Philip Holmes, Eric Shea-Brown, Jeff Moehlis, Rafal Bogacz, Juan Gao, Gary Aston-Jones, Ed Clayton, Janusz Rajkowski, Jonathan D. Cohen

IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2005

2004

A Minimal Model of a Central Pattern Generator and Motoneurons for Insect Locomotion.

Raffaele M. Ghigliazza, Philip Holmes

SIAM J. Appl. Dyn. Syst., 2004

Minimal Models of Bursting Neurons: How Multiple Currents, Conductances, and Timescales Affect Bifurcation Diagrams.

Raffaele M. Ghigliazza, Philip Holmes

SIAM J. Appl. Dyn. Syst., 2004

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

Eric Brown, Jeff Moehlis, Philip Holmes

Neural Comput., 2004

The Influence of Spike Rate and Stimulus Duration on Noradrenergic Neurons.

Eric Brown, Jeff Moehlis, Philip Holmes, Ed Clayton, Janusz Rajkowski, Gary Aston-Jones

J. Comput. Neurosci., 2004

Stability Analysis of a Clock-Driven Rigid-Body SLIP Model for RHex.

Richard Altendorfer, Daniel E. Koditschek, Philip Holmes

Int. J. Robotics Res., 2004

Stability Analysis of Legged Locomotion Models by Symmetry-Factored Return Maps.

Richard Altendorfer, Daniel E. Koditschek, Philip Holmes

Int. J. Robotics Res., 2004

Dynamics and stability of insect locomotion: a hexapedal model for horizontal plane motions.

Justin E. Seipel, Philip J. Holmes, Robert J. Full

Biol. Cybern., 2004

2003

A Simply Stabilized Running Model.

Raffaele M. Ghigliazza, Richard Altendorfer, Philip Holmes, Daniel E. Koditschek

SIAM J. Appl. Dyn. Syst., 2003

Mechanical models for insect locomotion: active muscles and energy losses.

John Schmitt, Philip Holmes

Biol. Cybern., 2003

Towards a Factored Analysis of Legged Locomotion Models.

Richard Altendorfer, Daniel E. Koditschek, Philip Holmes

Proceedings of the 2003 IEEE International Conference on Robotics and Automation, 2003

Modeling and control of minimal flow unit turbulence in plane Couette flow.

Troy R. Smith, Jeff Moehlis, Philip J. Holmes

Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

2002

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

John Schmitt, Mariano Garcia, R. C. Razo, Philip J. Holmes, Robert J. Full

Biol. Cybern., 2002

2001

Editorial.

Philip Holmes

J. Nonlinear Sci., 2001

Nonlinear Propagation of Light in One-Dimensional Periodic Structures.

Roy H. Goodman, Michael I. Weinstein, Philip J. Holmes

J. Nonlinear Sci., 2001

2000

Euler Buckling in a Potential Field.

Philip Holmes, Gábor Domokos, Geertje Hek

J. Nonlinear Sci., 2000

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

John Schmitt, Philip Holmes

Biol. Cybern., 2000

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

John Schmitt, Philip Holmes

Biol. Cybern., 2000

Undergraduate computational science education (panel session).

Angela B. Shiflet, Philip Holmes, Chuck Niederriter, Robert M. Panoff, Ernest Sibert

Proceedings of the 31st SIGCSE Technical Symposium on Computer Science Education, 2000

1999

Dynamics and Bifurcations of a Planar Map Modeling Dispersion Managed Breathers.

J. Nathan Kutz, Philip Holmes

SIAM J. Appl. Math., 1999

1997

Suppression of bursting.

Brianno D. Coller, Philip Holmes

Autom., 1997

1995

The Essence of Chaos (E. N. Lorenz).

Philip Holmes

SIAM Rev., 1995

1989

Collective Oscillations in the Visual Cortex.

Daniel M. Kammen, Christof Koch, Philip J. Holmes

Proceedings of the Advances in Neural Information Processing Systems 2, 1989

1987

Nonlinear oscillators, iterated maps, symbolic dynamics, and knotted orbits.

Kevin Hockett, Philip Holmes

Proc. IEEE, 1987

1983

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

John Guckenheimer, Philip Holmes

Applied Mathematical Sciences 42, Springer, ISBN: 978-1-4612-1140-2, 1983

1978

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

Philip Holmes, Jerrold E. Marsden

Autom., 1978