26 citations · 53 across the 4 of their papers we have counts for
6 papers
Delayed Hopf bifurcation and space-time buffer curves in the Complex Ginzburg-Landau equation
Ryan Goh, Tasso J. Kaper, Theodore Vo
In this article, the phenomenon of delayed Hopf bifurcations (DHB) in reaction-diffusion PDEs is analyzed in the cubic Complex Ginzburg-Landau equation with a slowly-varying parame…
Unsteady dynamics of a classical particle-wave entity
Rahil N. Valani, Anja C. Slim, David M. Paganin +2
A droplet bouncing on the surface of a vertically vibrating liquid bath can walk horizontally, guided by the waves it generates on each impact. This results in a self-propelled cla…
Why Pacing Frequency Affects the Production of Early Afterdepolarizations in Cardiomyocytes: An Explanation Revealed by Slow/Fast Analysis of a Minimal Model
Theodore Vo, Richard Bertram
Early afterdepolarizations (EADs) are pathological voltage oscillations in cardiomyocytes that have been observed in response to a number of pharmacological agents and disease cond…
Delayed bifurcation phenomena in reaction-diffusion equations: persistence of canards and slow passage through Hopf bifurcations
Tasso J. Kaper, Theodore Vo
In the context of a spatially extended model for the electrical activity in a pituitary lactotroph cell line, we establish that two delayed bifurcation phenomena from ODEs ---folde…
Dynamical systems analysis of the Maasch-Saltzman model for glacial cycles
Hans Engler, Hans G. Kaper, Tasso J. Kaper +1
This article is concerned with the internal dynamics of a conceptual model proposed by Maasch and Saltzman [J. Geophys. Res., 95, D2 (1990) 1955-1963] to explain central features o…
On the Existence of and Relationship between Canards and Torus Canards in Forced Slow/Fast Systems
Han Wang, Theodore Vo, Tasso J. Kaper
Canards are special solutions of slow/fast systems which are ubiquitous in neuroscience and electrical engineering. Two distinct classes of canard solutions have been identified an…