Peter Ashwin

发表

Master-equation approach to understanding multistate phase-change memories and processors

C. David Wright, Konstantin B. Blyuss, Peter Ashwin, 2007 .

Fast and slow domino regimes in transient network dynamics.

Krasimira Tsaneva-Atanasova, Peter Ashwin, Jennifer Creaser, 2017, Physical review. E.

Dynamics of Coupled Cell Networks: Synchrony, Heteroclinic Cycles and Inflation

Peter Ashwin, Michael Field, Manuela A. D. Aguiar, 2011, J. Nonlinear Sci..

Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system

Peter Cox, Peter Ashwin, Sebastian Wieczorek, 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Bubbling transition

Peter Ashwin, 2006, Scholarpedia.

On Planar Piecewise and Two-Torus parabolic Maps

Congping Lin, Peter Ashwin, Xin-Chu Fu, 2009, Int. J. Bifurc. Chaos.

Properties of the Invariant Disk Packing in a Model bandpass Sigma-delta modulator

Jonathan H. B. Deane, Peter Ashwin, Xin-Chu Fu, 2003, Int. J. Bifurc. Chaos.

On the Geometry of Orientation-Preserving Planar Piecewise Isometries

Peter Ashwin, Xin-Chu Fu, 2002, J. Nonlinear Sci..

Robust bursting to the Origin: heteroclinic Cycles with Maximal Symmetry Equilibria

Peter Ashwin, David Hawker, 2005, Int. J. Bifurc. Chaos.

Sequential Noise-Induced Escapes for Oscillatory Network Dynamics

Peter Ashwin, Krasimira Tsaneva-Atanasova, Jennifer L. Creaser, 2017, SIAM J. Appl. Dyn. Syst..

Interpreting Recurrent Neural Networks Behaviour via Excitable Network Attractors

Lorenzo Livi, Peter Ashwin, Andrea Ceni, 2018, Cognitive Computation.

Nonlinear dynamics: When instability makes sense

Marc Timme, Peter Ashwin, M. Timme, 2005, Nature.

26th Annual Computational Neuroscience Meeting (CNS*2017): Part 3

Silvestro Micera, Johannes Schemmel, Szabolcs Káli, 2017, BMC Neuroscience.

Within-Burst Synchrony Changes for Coupled Elliptic Bursters

Peter Ashwin, Abul Kalam al Azad, P. Ashwin, 2009, SIAM J. Appl. Dyn. Syst..

Sensitive Finite-State Computations Using a Distributed Network With a Noisy Network Attractor

Peter Ashwin, Claire Postlethwaite, P. Ashwin, 2018, IEEE Transactions on Neural Networks and Learning Systems.

How to compute using globally coupled oscillators

Jon Borresen, Peter Ashwin, 2004 .

Dynamics of a bandpass sigma-delta modulator as a piecewise isometry

Jonathan H. B. Deane, Peter Ashwin, Xin-Chu Fu, 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

Almost Complete and Equable Heteroclinic Networks

Peter Ashwin, Alexander Lohse, Sofia Castro, 2020, J. Nonlinear Sci..

Learning of Spatio–Temporal Codes in a Coupled Oscillator System

Gábor Orosz, Stuart Townley, Peter Ashwin, 2009, IEEE Transactions on Neural Networks.

Invariant Curves and Explosion of Periodic Islands in Systems of Piecewise Rotations

Peter Ashwin, Arek Goetz, 2005, SIAM J. Appl. Dyn. Syst..

Criteria for robustness of heteroclinic cycles in neural microcircuits

Thomas Nowotny, Peter Ashwin, Özkan Karabacak, 2011, Journal of mathematical neuroscience.

Phase-change RAM modelling and design via a Gillespie-type cellular automata approach

C. David Wright, Peter Ashwin, Jorge Vazquez, 2010, 2010 17th IEEE International Conference on Electronics, Circuits and Systems.

Designing Heteroclinic and Excitable Networks in Phase Space Using Two Populations of Coupled Cells

Claire M. Postlethwaite, Peter Ashwin, P. Ashwin, 2015, J. Nonlinear Sci..

Nonlinear dynamics: Synchronization from chaos

Peter Ashwin, P. Ashwin, 2003, Nature.

Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience

Stephen Coombes, Peter Ashwin, Rachel Nicks, 2015, The Journal of Mathematical Neuroscience.

Dynamics on Networks of Cluster States for Globally Coupled Phase Oscillators

Gábor Orosz, John Wordsworth, Stuart Townley, 2007, SIAM J. Appl. Dyn. Syst..

Microprocessor and multi-state memory devices using phase-change technology

Konstantin B. Blyuss, Peter Ashwin, C. D. Wright, 2007 .

Interpreting RNN behaviour via excitable network attractors pdf

Lorenzo Livi, Peter Ashwin, Andrea Ceni, 2018, ArXiv.

Quantifying Noisy Attractors: From Heteroclinic to Excitable Networks

Claire M. Postlethwaite, Peter Ashwin, P. Ashwin, 2016, SIAM J. Appl. Dyn. Syst..

Heteroclinic Ratchets in Networks of Coupled Oscillators

Peter Ashwin, Özkan Karabacak, P. Ashwin, 2008, J. Nonlinear Sci..

Cluster synchronization, switching and spatiotemporal coding in a phase oscillator network

John Wordsworth, Peter Ashwin, Stuart Townley, 2007 .

A Generalized 2D-Dynamical Mean-Field Ising Model with a Rich Set of Bifurcations (Inspired and Applied to Financial Crises)

Didier Sornette, Peter Ashwin, Damian Smug, 2018, Int. J. Bifurc. Chaos.

Noisy network attractor models for transitions between EEG microstates

Peter Ashwin, Jennifer Creaser, Claire Postlethwaite, 2019, The Journal of Mathematical Neuroscience.

Physical invariant measures and tipping probabilities for chaotic attractors of asymptotically autonomous systems

Peter Ashwin, Julian Newman, P. Ashwin, 2021, The European Physical Journal Special Topics.

Correction to: Excitable networks for finite state computation with continuous time recurrent neural networks.

Peter Ashwin, Claire Postlethwaite, 2021, Biological cybernetics.

Rate-Induced Tipping: Thresholds, Edge States and Connecting Orbits

Peter Ashwin, Chun Xie, Sebastian Wieczorek, 2021, 2111.15497.

Excitable networks for finite state computation with continuous time recurrent neural networks

Claire M. Postlethwaite, Peter Ashwin, 2021, Biol. Cybern..

Dead zones and phase reduction of coupled oscillators.

Christian Bick, Peter Ashwin, Camille Poignard, 2021, Chaos.

Uniting Parametric Uncertainty and Tipping Diagrams

Christian Kuehn, Peter Ashwin, Kerstin Lux, 2021, 2110.15859.

From coupled networks of systems to networks of states in phase space

Peter Ashwin, P. Ashwin, Oskar Weinberger, 2018 .

Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping

Sebastian Wieczorek, Clare Perryman, Peter Ashwin, 2015, 1506.07734.

Phase resetting effects for robust cycles between chaotic sets.

Rob Sturman, Peter Ashwin, Alastair M Rucklidge, 2003, Chaos.

Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators

Yuri Maistrenko, Peter Ashwin, Oleksandr Burylko, 2008 .

Group theoretic conditions for existence of robust relative homoclinic trajectories

Peter Ashwin, James Montaldi, 2002, Mathematical Proceedings of the Cambridge Philosophical Society.

The Independent Variable Interpolation Technique for Nonuniformly Sampled Shallow-Angle Lidar Data

Michael R. Belmont, Peter Ashwin, 2011 .

On local attraction properties and a stability index for heteroclinic connections

Peter Ashwin, Olga Podvigina, P. Ashwin, 2010, 1008.3063.

On the unfolding of a blowout bifurcation

Matthew Nicol, Peter Ashwin, Philip J. Aston, 1998 .

Extreme Sensitivity and Climate Tipping Points

Peter Ashwin, P. Ashwin, A. S. von der Heydt, 2019, Journal of Statistical Physics.

Convergence to local random attractors

Gunter Ochs, Peter Ashwin, 2003 .

Blowout bifurcation in a system of coupled chaotic lasers

John R. Terry, Rajarshi Roy, Peter Ashwin, 1998 .

Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory

Rob Sturman, Peter Ashwin, Alastair M. Rucklidge, 2004 .

Noise-induced switching near a depth two heteroclinic network and an application to Boussinesq convection.

Peter Ashwin, Olga Podvigina, P. Ashwin, 2010, Chaos.

Chaotic weak chimeras and their persistence in coupled populations of phase oscillators

Christian Bick, Peter Ashwin, P. Ashwin, 2015, 1509.08824.

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

Peter Ashwin, D. C. Hamill, David J. Jefferies, 1999 .

Euclidean extensions of dynamical systems

Matthew Nicol, Peter Ashwin, Ian Melbourne, 2001 .

Lossless Digital Filter Overflow Oscillations; Approximation of Invariant Fractals

W. G. Chambers, Peter Ashwin, P. Ashwin, 1997 .

Travelling fronts for the KPP equation with spatio-temporal delay

Stephen A. Gourley, Thomas J. Bridges, Peter Ashwin, 2002 .

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

Carlo R Laing, Peter Ashwin, Mark J Panaggio, 2015, Physical review. E.

In-out intermittency in PDE and ODE models of axisymmetric mean-field dynamos

John Brooke, Peter Ashwin, Eurico Covas, 1998 .

Symbolic Representations of Iterated Maps

Jinqiao Duan, Peter Ashwin, Xin-Chu Fu, 2000, nlin/0012007.

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

John R. Terry, Krasimira Tsaneva-Atanasova, Peter Ashwin, 2012, Journal of mathematical neuroscience.

Heteroclinic Ratchets in a System of Four Coupled Oscillators

Peter Ashwin, Özkan Karabacak, P. Ashwin, 2022 .

Product dynamics for homoclinic attractors

Peter Ashwin, Michael Field, P. Ashwin, 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability

James Rankin, Peter Ashwin, Gemma Huguet, 2019, The Journal of Mathematical Neuroscience.

Streamline topology in eccentric Taylor vortex flow

Peter Ashwin, G. P. King, P. Ashwin, 1995, Journal of Fluid Mechanics.

Chaos in symmetric phase oscillator networks.

Marc Timme, Christian Bick, Peter Ashwin, 2011, Physical review letters.

Predicting financial market crashes using ghost singularities

Didier Sornette, Peter Ashwin, Damian Smug, 2017, PloS one.

Acceleration of one-dimensional mixing by discontinuous mappings

Matthew Nicol, Peter Ashwin, Norman F. Kirkby, 2002 .

Tangencies in invariant disc packings for certain planar piecewise isometries are rare

Xinchu Fu, Peter Ashwin, P. Ashwin, 2001 .

Identical Phase Oscillator Networks: Bifurcations, Symmetry and Reversibility for Generalized Coupling

Christian Bick, Peter Ashwin, Oleksandr Burylko, 2016, Front. Appl. Math. Stat..

A minimal system with a depth-two heteroclinic network

Peter Ashwin, Tsuyoshi Chawanya, P. Ashwin, 2010 .

Attractors stuck on to invariant subspaces

Peter Ashwin, P. Ashwin, 1995 .

Elliptic behaviour in the sawtooth standard map

Peter Ashwin, P. Ashwin, 1997 .

Rate-induced tipping from periodic attractors: Partial tipping and connecting orbits.

Peter Ashwin, P. Ashwin, H. Alkhayuon, 2017, Chaos.

Hopf bifurcation with cubic symmetry and instability of ABC flow

Peter Ashwin, P. Ashwin, Olga Podvigina, 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Isochronicity-induced bifurcations in systems of weakly dissipative coupled oscillators

Gerhard Dangelmayr, Peter Ashwin, P. Ashwin, 2000 .

Attractors for Robust Heteroclinic Cycles with Continua of Connections

Peter Ashwin, P. Ashwin, P. Chossat, 1998 .

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

Peter Ashwin, Ana Rodrigues, P. Ashwin, 2015, 1507.08079.

On designing heteroclinic networks from graphs

Peter Ashwin, Claire Postlethwaite, P. Ashwin, 2013, 1302.0984.

A low-dimensional model of binocular rivalry using winnerless competition

Peter Ashwin, Aureliu Lavric, P. Ashwin, 2010 .

Hypermeander of spirals: local bifurcations and statistical properties

Matthew Nicol, Peter Ashwin, Ian Melbourne, 2001 .

Robust heteroclinic and switching dynamics

Vivien Kirk, Peter Ashwin, Valentin Afraimovich, 2010 .

Internal Dynamics of Intermittency

Rob Sturman, Peter Ashwin, 2004 .

Attractors of a randomly forced electronic oscillator

Peter Ashwin, 1999 .

THE SYMMETRY PERSPECTIVE: FROM EQUILIBRIUM TO CHAOS IN PHASE SPACE AND PHYSICAL SPACE (Progress in Mathematics 200)

Peter Ashwin, P. Ashwin, 2003 .

Non-linear dynamics, loss of synchronization and symmetry breaking

Peter Ashwin, 1998 .

Synchronization of chaos in an array of three lasers

John R. Terry, Rajarshi Roy, Peter Ashwin, 1999 .

Influence of noise near blowout bifurcation

Emily Stone, Peter Ashwin, P. Ashwin, 1997 .

Polygonal invariant curves for a planar piecewise isometry

Peter Ashwin, Arek Goetz, P. Ashwin, 2005 .

Three identical oscillators with symmetric coupling

Peter Ashwin, James W. Swift, G. P. King, 1990 .

Modelling instability of ABC flow using a mode interaction between steady and Hopf bifurcations with rotational symmetries of the cube

Peter Ashwin, Olga Podvigina, P. Ashwin, 2006 .

Anisotropic properties of riddled basins

Michael Breakspear, Peter Ashwin, 2001 .