124 citations · 196 across the 12 of their papers we have counts for
12 papers
Quasipotentials for coupled escape problems and the gate-height bifurcation
Peter Ashwin, Jennifer Creaser, Krasimira Tsaneva-Atanasova
The escape statistics of a gradient dynamical system perturbed by noise can be estimated using properties of the associated potential landscape. More generally, the Freidlin and We…
Numerical methods for control-based continuation of relaxation oscillations
Mark Blyth, Krasimira Tsaneva-Atanasova, Lucia Marucci +1
Control-based continuation (CBC) is an experimental method that can reveal stable and unstable dynamics of physical systems. It extends the path-following principles of numerical c…
Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo
Maria Elena Gonzalez Herrero, Christian Kuehn, Krasimira Tsaneva-Atanasova
Since Noble adapted in 1962 the model of Hodgkin and Huxley to fit Purkinje fibres the refinement of models for cardiomyocytes has continued. Most of these models are high-dimensio…
Sequential escapes: onset of slow domino regime via a saddle connection
Peter Ashwin, Jennifer Creaser, Krasimira Tsaneva-Atanasova
We explore sequential escape behaviour of coupled bistable systems under the influence of stochastic perturbations. We consider transient escapes from a marginally stable "quiescen…
Sequential noise-induced escapes for oscillatory network dynamics
Jennifer Creaser, Krasimira Tsaneva-Atanasova, Peter Ashwin
It is well known that the addition of noise in a multistable system can induce random transitions between stable states. The rate of transition can be characterised in terms of the…
Fast and slow domino regimes in transient network dynamics
Peter Ashwin, Jennifer Creaser, Krasimira Tsaneva-Atanasova
It is well known that the addition of noise to a multistable dynamical system can induce random transitions from one stable state to another. For low noise, the times between trans…
A Classification Framework for Partially Observed Dynamical Systems
Yuan Shen, Peter Tino, Krasimira Tsaneva-Atanasova
We present a general framework for classifying partially observed dynamical systems based on the idea of learning in the model space. In contrast to the existing approaches using m…
Modeling Joint Improvisation between Human and Virtual Players in the Mirror Game
Chao Zhai, Francesco Alderisio, Piotr Slowinski +2
Joint improvisation is observed to emerge spontaneously among humans performing joint action tasks, and has been associated with high levels of movement synchrony and enhanced sens…
Effects of time-delay in a model of intra- and inter-personal motor coordination
Piotr Słowiński, Krasimira Tsaneva-Atanasova, Bernd Krauskopf
Motor coordination is an important feature of intra- and inter-personal interactions, and several scenarios --- from finger tapping to human-computer interfaces --- have been inves…
Beyond in-phase and anti-phase coordination in a model of joint action
Daniele Avitabile, Piotr Słowiński, Benoit Bardy +1
In 1985 Haken, Kelso and Bunz proposed a system of coupled nonlinear oscillators as a model of rhythmic movement patterns in human bimanual coordination. Since then, the Haken-Kels…
Design and Validation of a Virtual Player for Studying Interpersonal Coordination in the Mirror Game
Chao Zhai, Francesco Alderisio, Piotr Slowinski +2
The mirror game has been recently proposed as a simple, yet powerful paradigm for studying interpersonal interactions. It has been suggested that a virtual partner able to play the…
Dynamic similarity promotes interpersonal coordination in joint-action
Piotr Słowiński, Chao Zhai, Francesco Alderisio +6
Human movement has been studied for decades and dynamic laws of motion that are common to all humans have been derived. Yet, every individual moves differently from everyone else (…