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Mathematics

D-Index
47
Citations
8287
World Ranking
1281
National Ranking
95

Overview

Peter Ashwin is affiliated with the University of Exeter in the United Kingdom. Their research spans multiple intersecting fields within computer science, with a focus on statistical and nonlinear physics. The breadth of their work extends to areas such as ecosystem dynamics and resilience, nonlinear dynamics and pattern formation, and neural dynamics and brain function.

The scientist has contributed to topics including stochastic dynamics and bifurcation, climate variability and models, neural networks and applications, and neural networks and reservoir computing. These areas reflect a multidisciplinary approach combining theoretical and applied aspects of complex systems and computational models.

Among recent scholarly contributions, notable publications include:

  • "Quantification and interpretation of the climate variability record" (2020) published in Global and Planetary Change
  • "Miro2 tethers the ER to mitochondria to promote mitochondrial fusion in tobacco leaf epidermal cells" (2020) published in Communications Biology
  • "Rate-induced tipping: thresholds, edge states and connecting orbits" (2023) published in Nonlinearity
  • "Physical invariant measures and tipping probabilities for chaotic attractors of asymptotically autonomous systems" (2021) published in The European Physical Journal Special Topics
  • "The echo index and multistability in input-driven recurrent neural networks" (2020) published in Physica D Nonlinear Phenomena

Peter Ashwin frequently collaborates with several coauthors, including:

  • Anna S. von der Heydt
  • Claire Postlethwaite
  • Julian Newman
  • Ana Rodrigues
  • Niklas Boers

Their work appears regularly in established publication venues, notably:

  • arXiv (Cornell University)
  • Physica D Nonlinear Phenomena
  • Chaos An Interdisciplinary Journal of Nonlinear Science
  • SIAM Journal on Applied Dynamical Systems
  • Physical Review E

Best Publications

  • Bubbling of attractors and synchronisation of chaotic oscillators

    Peter Ashwin;Jorge Buescu;Ian Stewart

  • From attractor to chaotic saddle: a tale of transverse instability

    Peter Ashwin;Jorge Buescu;Ian Stewart

  • Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience

    Peter Ashwin;Stephen Coombes;Rachel Nicks

  • The Dynamics of n Weakly Coupled Identical Oscillators

    P. Ashwin;J. W. Swift

  • Weak chimeras in minimal networks of coupled phase oscillators

    Peter Ashwin;Oleksandr Burylko

  • Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping

    Peter Ashwin;Clare Perryman;Clare Perryman;Sebastian Wieczorek

  • Excitability in ramped systems: the compost-bomb instability

    Sebastian Wieczorek;Peter Ashwin;Catherine M. Luke;Peter M. Cox

  • Travelling fronts for the KPP equation with spatio-temporal delay

    P. Ashwin;M. V. Bartuccelli;T. J. Bridges;S. A. Gourley

  • Three identical oscillators with symmetric coupling

    P Ashwin;G P King;J W Swift

  • A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy

    Oscar Benjamin;Thomas H B Fitzgerald;Peter Ashwin;Krasimira Tsaneva-Atanasova

  • Chimera states in networks of phase oscillators: The case of two small populations

    Mark J. Panaggio;Daniel M. Abrams;Peter Ashwin;Carlo R. Laing

  • Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation

    Manuela A. D. Aguiar;Peter Ashwin;Ana Paula S. Dias;Michael Field

  • Nonlinear dynamics: When instability makes sense

    Peter Ashwin;Marc Timme

  • Heteroclinic Networks in Coupled Cell Systems

    Peter Ashwin;Michael Field

  • Dynamics on Networks of Cluster States for Globally Coupled Phase Oscillators

    Peter Ashwin;Gábor Orosz;John Wordsworth;Stuart Townley

  • Calculation of the periodic spectral components in a chaotic DC-DC converter

    J.H.B. Deane;P. Ashwin;D.C. Hamill;D.J. Jefferies

  • Controlled and stochastic retention concentrates dynein at microtubule ends to keep endosomes on track

    Martin Schuster;Sreedhar Kilaru;Peter Ashwin;Congping Lin

  • On local attraction properties and a stability index for heteroclinic connections

    Olga Podvigina;Olga Podvigina;Peter Ashwin

  • Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model

    Hassan Alkhayuon;Peter Ashwin;Laura C. Jackson;Courtney Quinn;Courtney Quinn

  • Hopf normal form with $S_N$ symmetry and reduction to systems of nonlinearly coupled phase oscillators

    Peter Ashwin;Ana Rodrigues

  • On the unfolding of a blowout bifurcation

    Peter Ashwin;Philip J. Aston;Matthew Nicol

  • On riddling and weak attractors

    Peter Ashwin;John R. Terry

  • Elliptic behaviour in the sawtooth standard map

    Peter Ashwin

Frequent Co-Authors

Gero Steinberg
Gero Steinberg University of Exeter
Ian Melbourne
Ian Melbourne University of Warwick
John R. Terry
John R. Terry University of Exeter
Marc Timme
Marc Timme TU Dresden
John Rinzel
John Rinzel New York University
György Buzsáki
György Buzsáki New York University
Adeel Razi
Adeel Razi Monash University
Silvestro Micera
Silvestro Micera Sant'Anna School of Advanced Studies
Alberto Priori
Alberto Priori University of Milan

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