activity
20002018
most citedNonlinear Propagation of Light in One Dimensional Periodic Structures

80 citations · 86 across the 6 of their papers we have counts for

collaborators

7 papers

math.DS2018★ 1 cited

Heterogeneous inputs to central pattern generators can shape insect gaits

Zahra Aminzare, Philip Holmes

In our previous work, we studied an interconnected bursting neuron model for insect locomotion, and its corresponding phase oscillator model, which at high speed can generate stabl…

math.DS2017

Gait transitions in a phase oscillator model of an insect central pattern generator

Zahra Aminzare, Vaibhav Srivastava, Philip Holmes

Legged locomotion involves various gaits. It has been observed that fast running insects (cockroaches) employ a tripod gait with three legs lifted off the ground simultaneously in…

q-bio.NC2016

Explicit moments of decision times for single- and double-threshold drift-diffusion processes

Vaibhav Srivastava, Philip Holmes, Patrick Simen

We derive expressions for the first three moments of the decision time (DT) distribution produced via first threshold crossings by sample paths of a drift-diffusion equation. The "…

math.MG2015★ 5 cited

A genealogy of convex solids via local and global bifurcations of gradient vector fields

Gábor Domokos, Philip Holmes, Zsolt Lángi

Three-dimensional convex bodies can be classified in terms of the number and stability types of critical points on which they can balance at rest on a horizontal plane. For typical…

q-bio.NC2009

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

Several integrate-to-threshold models with differing temporal integration mechanisms have been proposed to describe the accumulation of sensory evidence to a prescribed level prior…

nlin.PS2002

Strong NLS Soliton-Defect Interactions

R. H. Goodman, P. J. Holmes, M. I. Weinstein

We consider the interaction of a nonlinear Schrodinger soliton with a localized (point) defect in the medium through which it travels. Using numerical simulations, we find paramete…