26 citations · 123 across the 10 of their papers we have counts for
10 papers
Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations
Ryan Goh, Tasso J. Kaper, Arnd Scheel +1
This work studies front formation in the Allen-Cahn equation with a parameter heterogeneity which slowly varies in space. In particular, we consider a heterogeneity which mediates…
A new class of chimeras in locally coupled oscillators with small-amplitude, high-frequency asynchrony and large-amplitude, low-frequency synchrony
Tasso J. Kaper, Theodore Vo
Chimeras are surprising yet important states in which domains of decoherent (asynchronous) and coherent (synchronous) oscillations co-exist. In this article, we report on the disco…
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…
Generic Torus Canards
Theodore Vo
Torus canards are solutions of slow/fast systems that alternate between attracting and repelling manifolds of limit cycles of the fast subsystem. A relatively new dynamic phenomeno…
From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation
J. Burke, M. Desroches, A. Granados +3
We study canard solutions of the forced van der Pol (fvdP) equation in the relaxation limit for low-, intermediate-, and high-frequency periodic forcing. A central numerical observ…