Mathematical theories underpinning different classes of phenomena possess a universal character, with the same mathematical equations appearing to govern phenomena of different nature. The Mathematics of Complex and Nonlinear Phenomena can therefore be seen as the seed for cross-fertilisation between different research areas and disciplines.
Complexity and nonlinearity are often concomitant features of real-world phenomena that are commonly associated to the notion of disorder and chaos.
Unexpectedly, disordered structures and chaotic behaviours observed from fluid dynamics, classical and quantum physics to biological systems, economic and social sciences can be related, under suitable conditions, to the emergence of beautiful ordered and stable structures, as well as coherent, cooperative or cyclic behaviours.
The formation of tsunamis and rogue waves, laser pulses, turbulence of accretion disks around black holes, phase transitions from ordered to disordered states of matter are just some examples where disorder/chaos and order/coherence arise as two sides of the same coin.
Most amazingly, mathematical theories underpinning such different classes of phenomena turn out to possess a universal character so that the same mathematical equations appear to govern phenomena of (seemingly) different nature. Hence, the Mathematics of Complex and Nonlinear Phenomena (MCNP) can be seen naturally as the seed for cross-fertilisation between different research areas and disciplines.
Northumbria's MCNP Research Group conducts interdisciplinary research aiming at impacting on challenges posed by a fast-changing world. It is engaged in ground-breaking research in the hottest areas of modern Mathematics, Physics, Biology and other sciences, including multiple international collaborations with other leading experts.
MCNP research activity focuses mainly on the advancement of mathematical methods for the extensive study of nonlinear partial differential equations and dynamical systems. This ranges from their classification to the development of analytical and numerical techniques to calculate or extract qualitative and quantitative information on their solutions, e.g. asymptotic methods, multiscale analysis, nonlinear stability analysis, bifurcation theory and methods of integrable systems.
The findings of the MCNP research group are concerned with the study of mechanisms for the formation and propagation of nonlinear classical and quantum waves, coherent and localised structures, dynamic emergence of instabilities and singularities under different regimes of dispersion and dissipation, diffraction, interference, delays, phase transitions, classical and quantum chaos, geometric structures associated to differential equations and Riemann surfaces.
Applications that are currently under investigation include the solutions of models for ferromagnetic nanostructures, topological insulators, climate components, magnetohydrodynamics, biological phenomena as cyclic rhythms in glucose regulation, liquid crystals and complex networks.
The MCNP research group has successfully received funding from EPSRC, Leverhulme Trust, London Mathematical Society.
|Staff||Research fellows||Research students|
|Prof Gennady El||Dr Costanza Benassi||Adam Bridgewater|
|Dr Arseni Goussev||Dr Thibault Congy||Marta dell'Atti|
|Dr Benoit Huard||David Graham|
|Dr Oleg Kirillov||Joris Labarbe|
|Dr Yiping Ma||Giacomo Roberti|
|Dr Antonio Moro||Marzia Romano|
|Dr Matteo Sommacal||Oleg Senkevich|
|Dr Costanza Benassi|
|Dr Thibault Congy|
Personal page: https://tcongy.github.io/
|Prof Gennady El|
Funding: EPSRC (2017-2010, Grant No. EP/R00515X/1); Dstl (2017-2020, Contract No DSTLX-1000116851); LMS Research in Pairs Grants (2014, 2015, 2017, 2018), the Royal Society International Exchanges Scheme (2014-2016).
Full details in the Dispersive Hydrodynamics page.
|Dr Arseni Goussev|
Personal page: https://sites.google.com/site/aogscifi
|Dr Benoit Huard|
|Dr Yiping Ma|
|Dr Antonio Moro|
Nonlinear Conservation laws and applications
For more details click here.
|Dr Matteo Sommacal|
Marta dell'Atti. Principal supervisor A. Moro.
David Graham. Principal supervisor A. Moro.
Joris Labarbe (October 2018- ). Principal supervisor O. Kirillov.
Giacomo Roberti (October 2018- ). Principal supervisor G. El.
Analysis and control of large-amplitude fluctuations of incoherent optical field in fibre lasers: integrable turbulence framework
Marzia Romano (December 2018-March 2019). Principal supervisor M. Sommacal.
The 3-wave resonant interaction model: spectra and instabilities of plane waves
Oleg Senkevich. Principal supervisor A. Moro.
David Snee. Principal supervisor Y. Ma.
Nonlinear edge waves in mechanical topological insulators
Adam Bridgewater (May 2019). Principal supervisor B. Huard.
Mathematical description of oscillatory regimes in the glucose-insulin regulation
Francesco Giglio (February 2018). Principal supervisor A. Moro.
Wave dynamics and catastrophes in thermodynamic phase diagrams
Emrah Haspolat (February 2018). Principal supervisor B. Huard.
Mathematical modelling of Arabidopsis flowering time gene regulatory network
Maximilien Barbier (February 2017). Principal supervisor A. Goussev.
Dynamics of matter wave packets in the presence of time-dependent absorption
The group runs the weekly Mathematics and Mathematical Physics series of research seminars and colloquia. Full details can be found at the seminars page.
Goussev, Arseni (2019) Equivalence between quantum backflow and classically forbidden probability flow in a diffraction-in-time problem. Physical Review A, 99 (4). 043626. ISSN 1050-2947
Congy, Thibault, El, Gennady, Hoefer, Mark and Shearer, Michael (2019) Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure. Studies in Applied Mathematics, 142 (3). pp. 241-268. ISSN 0022-2526
Degasperis, Antonio, Lombardo, Sara and Sommacal, Matteo (2019) Rogue Wave Type Solutions and Spectra of Coupled Nonlinear Schrödinger Equations. Fluids, 4 (1). p. 57. ISSN 2311-5521
Kraych, Adrien, Suret, Pierre, El, Gennady and Randoux, Stephane (2019) Nonlinear evolution of the locally induced modulational instability in fiber optics. Physical Review Letters, 122 (5). 054101. ISSN 0031-9007
Haspolat, Emrah, Huard, Benoit and Angelova, Maia (2019) Deterministic and stochastic models of Arabidopsis Thaliana flowering. Bulletin of Mathematical Biology, 81 (1). pp. 277-311. ISSN 0092-82402018
Kirillov, Oleg (2018) Dissipation-Induced Instabilities in Magnetized Flows. Journal of Mathematical Sciences, 235 (4). pp. 455-472. ISSN 1072-3374
Kirillov, Oleg (2018) Singular diffusionless limits of double-diffusive instabilities in MHD. In: MHD Days and GdRI Dynamo Meeting, 26th - 28th November 2018, Dresden, Germany.
Demontis, Francesco, Lombardo, Sara, Sommacal, Matteo, van der Mee, Cornelis and Vargiu, F. (2018) Effective generation of closed-form soliton solutions of the continuous classical Heisenberg ferromagnet equation. Communications in Nonlinear Science and Numerical Simulation, 64. pp. 35-65. ISSN 1007-5704
De Matteis, Giovanni, Giglio, Francesco and Moro, Antonio (2018) Exact equations of state for nematics. Annals of Physics, 396. pp. 386-396. ISSN 0003-4916
Randoux, Stéphane, Suret, Pierre, Chabchoub, Amin, Kibler, Bertrand and El, Gennady (2018) Nonlinear spectral analysis of Peregrine solitons observed in optics and in hydrodynamic experiments. Physical Review E, 98 (2). 022219. ISSN 2470-0045
Kirillov, Oleg (2018) Classical Results and Modern Approaches to Nonconservative Stability. In: Dynamic Stability and Bifurcation in Nonconservative Mechanics. CISM International Centre for Mechanical Sciences, 586 (586). Springer, Berlin, pp. 129-190. ISBN 9783319937212
Degasperis, Antonio, Lombardo, Sara and Sommacal, Matteo (2018) Integrability and linear stability of nonlinear waves. Journal of Nonlinear Science, 28 (4). pp. 1251-1291. ISSN 0938-8974
Bigoni, Davide and Kirillov, Oleg (2018) Dynamic Stability and Bifurcation in Nonconservative Mechanics. CISM International Centre for Mechanical Sciences, 586 . Springer. ISBN 978-3-319-93721-2
Goussev, Arseni, Reck, Phillipp, Moser, Florian, Moro, Antonio, Gorini, Cosimo and Richter, Klaus (2018) Overcoming dispersive spreading of quantum wave packets via periodic nonlinear kicking. Physical Review A, 98 (1). 013620. ISSN 2469-9926
Kirillov, Oleg (2018) Locating the sets of exceptional points in dissipative systems and the self-stability of bicycles. Entropy, 20 (7). p. 502. ISSN 1099-4300
Bigoni, Davide, Tommasini, Mirko, Misseroni, Diego, Kirillov, Oleg and Noselli, Giovanni (2018) Flutter and divergence instability in the Pflüger column: Experimental evidence of the Ziegler destabilization paradox. Journal of the Mechanics and Physics of Solids, 116. pp. 99-116. ISSN 0022-5096
Demontis, Francesco, Ortenzi, Giovanni and Sommacal, Matteo (2018) Heisenberg ferromagnetism as an evolution of a spherical indicatrix: localized solutions and elliptic dispersionless reduction. Electronic Journal of Differential Equations, 2018 (106). pp. 1-34. ISSN 1072-6691
Maiden, Michelle D., Anderson, Dalton V., Franco, Nevil A., El, Gennady and Hoefer, Mark A. (2018) Solitonic Dispersive Hydrodynamics: Theory and Observation. Physical Review Letters, 120 (14). ISSN 0031-9007
Demontis, Francesco, Ortenzi, Giovanni, Sommacal, Matteo and van der Mee, Cornelis (2018) The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. II. IST and closed-form soliton solutions. Ricerche di Matematica. ISSN 0035-5038 (In Press)
Demontis, Francesco, Ortenzi, Giovanni, Sommacal, Matteo and van der Mee, Cornelis (2018) The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. I. Direct and inverse scattering theory. Ricerche di Matematica. ISSN 0035-5038 (In Press)
Sprenger, Patrick, Hoefer, Mark and El, Gennady (2018) Hydrodynamic optical soliton tunneling. Physical Review E, 97 (3). ISSN 2470-0045
Reck, Phillipp, Gorini, Cosimo, Goussev, Arseni, Krueckl, Viktor, Fink, Mathias and Richter, Klaus (2018) Towards a quantum time mirror for non-relativistic wave packets. New Journal of Physics, 20 (3). 033013. ISSN 1367-2630
El, Gennady, Nguyen, Lu Trong Nguyen and Smyth, Noel (2018) Dispersive shock waves in systems with nonlocal dispersion of Benjamin–Ono type. Nonlinearity, 31 (4). pp. 1392-1416. ISSN 0951-7715
Bigoni, Davide, Misseroni, Diego, Tommasini, Mirko, Kirillov, Oleg and Noselli, Giovanni (2018) Detecting singular weak-dissipation limit for flutter onset in reversible systems. Physical Review E, 97 (2). 023003. ISSN 2470-0045
El, Gennady, Hoefer, Mark A. and Shearer, Michael (2018) Stationary Expansion Shocks for a Regularized Boussinesq System. Studies in Applied Mathematics, 140 (1). pp. 27-47. ISSN 0022-2526
Bigoni, Davide and Kirillov, Oleg (2018) Preface. In: Dynamic Stability and Bifurcation in Nonconservative Mechanics. CISM International Centre for Mechanical Sciences . Springer, v-vi. ISBN 978-3-319-93721-22017
Suret, Pierre, El, Gennady, Onorato, Miguel and Randoux, Stéphane (2017) Rogue waves in integrable turbulence: semi-classical theory and fast measurements. In: Nonlinear Guided Wave Optics: A testbed for extreme waves. IOP Publishing, 12-1-12-32. ISBN 978-0-7503-1460-2
Kirillov, Oleg (2017) Singular diffusionless limits of double-diffusive instabilities in magnetohydrodynamics. Proceedings of the Royal Society A : Mathematical, Physical and Engineering Sciences, 473 (2205). ISSN 1364-5021
Gaididei, Yuri, Goussev, Arseni, Kravchuk, Volodymyr, Pylypovskyi, Oleksandr, Robbins, Jonathan, Sheka, Denis, Slastikov, Valeriy and Vasylkevych, Sergiy (2017) Magnetization in narrow ribbons: curvature effects. Journal of Physics A: Mathematical and Theoretical, 50. p. 385401. ISSN 1751-8113
Ablowitz, Mark, Ma, Yi-Ping and Rumanov, Igor (2017) A universal asymptotic regime in the hyperbolic nonlinear Schrodinger equation. SIAM Journal on Applied Mathematics, 77 (4). pp. 1248-1268. ISSN 0036-1399
Hoefer, Mark, El, Gennady and Kamchatnov, Anatoly (2017) Oblique Spatial Dispersive Shock Waves in Nonlinear Schrödinger Flows. SIAM Journal on Applied Mathematics, 77 (4). pp. 1352-1374. ISSN 0036-1399
Kirillov, Oleg, Stefani, Frank, Albrecht, Thomas, Arlt, Rainer, Christen, Michael, Gailitis, Agris, Gellert, Marcus, Giesecke, André, Goepfert, Oliver, Herault, Johann, Mamatsashvili, George, Priede, Janis, Rudiger, Guenther, Seilmayer, Martin, Tilgner, Andreas and Vogt, Tobias (2017) Magnetic field dynamos and magnetically triggered flow instabilities. IoP Conference Series, Materials Science and Engineering, 228 (1). 012002. ISSN 1757-8981
Tikan, Alexey, Billet, Cyril, El, Gennady, Tovbis, Alexander, Bertola, Marco, Sylvestre, Thibaut, Gustave, Francois, Randoux, Stephane, Genty, Goëry, Suret, Pierre and Dudley, John M. (2017) Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation. Physical Review Letters, 119 (3). 033901. ISSN 0031-9007
Goussev, Arseni (2017) Rotating Gaussian wave packets in weak external potentials. Physical Review A (PRA), 96. 013617. ISSN 1050-2947
Randoux, Stéphane, Gustave, François, Suret, Pierre and El, Gennady (2017) Optical Random Riemann Waves in Integrable Turbulence. Physical Review Letters, 118 (23). ISSN 0031-9007
Kirillov, Oleg and Mutabazi, Innocent (2017) Short wavelength local instabilities of a circular Couette flow with radial temperature gradient. Journal of Fluid Mechanics, 818. pp. 319-343. ISSN 0022-1120
Reck, Phillipp, Gorini, Cosimo, Goussev, Arseni, Krueckl, Viktor, Fink, Mathias and Richter, Klaus (2017) Dirac quantum time mirror. Physical Review B, 95 (16). p. 165421. ISSN 2469-9950
Huard, Benoit, Bridgewater, Adam and Angelova, Maia (2017) Mathematical investigation of diabetically impaired ultradian oscillations in the glucose-insulin regulation. Journal of Theoretical Biology, 418. pp. 66-76. ISSN 0022-5193
Kirillov, Oleg, Bigoni, Davide, Misseroni, Diego, Noselli, Giovanni and Tommasini, Mirko (2017) Experiments on the Pfluger column: flutter from friction. In: First International Symposium on Flutter and its Application, 15th-17th May , 2016, Mielparque-Tokyo, Minato-ku, Tokyo, Japan.
El, Gennady, Hoefer, Mark and Shearer, Michael (2017) Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws. SIAM Review, 59 (1). pp. 3-61. ISSN 0036-1445
Kirillov, Oleg and Levi, Mark (2017) A Coriolis force in an inertial frame. Nonlinearity, 30 (3). pp. 1109-1119. ISSN 0951-7715
Chesnokov, A. A., El, Gennady, Gavrilyuk, S. L. and Pavlov, M. V. (2017) Stability Of Shear Shallow Water Flows with Free Surface. SIAM Journal on Applied Mathematics, 77 (3). pp. 1068-1087. ISSN 0036-13992016
Ma, Yi-Ping and Knobloch, Edgar (2016) Two-dimensional localized structures in harmonically forced oscillatory systems. Physica D: Nonlinear Phenomena, 337. pp. 1-17. ISSN 0167-2789
Fukumoto, Yasuhide, Zou, Rong and Kirillov, Oleg (2016) Short-wavelength analysis of magnetorotational instability of resistive MHD flows. In: Mathematical Analysis of Viscous Incompressible Fluid, 14-16 November 2016, Kyoto University, Japan.
Weidman, Patrick and Ma, Yi-Ping (2016) The competing effects of wall transpiration and stretching on Homann stagnation-point flow. European Journal of Mechanics - B/Fluids, 60. pp. 237-241. ISSN 0997-7546
Ablowitz, Mark, Demirci, Ali and Ma, Yi-Ping (2016) Dispersive shock waves in the Kadomtsev–Petviashvili and two dimensional Benjamin–Ono equations. Physica D: Nonlinear Phenomena, 333. pp. 84-98. ISSN 0167-2789
El, Gennady and Hoefer, Mark (2016) Dispersive shock waves and modulation theory. Physica D: Nonlinear Phenomena, 333. pp. 11-65. ISSN 0167-2789
Giglio, Francesco, Landolfi, Giulio and Moro, Antonio (2016) Integrable extended van der Waals model. Physica D: Nonlinear Phenomena, 333. pp. 293-300. ISSN 0167-2789
Tovbis, Alexander and El, Gennady (2016) Semiclassical limit of the focusing NLS: Whitham equations and the Riemann–Hilbert Problem approach. Physica D: Nonlinear Phenomena, 333. pp. 171-184. ISSN 0167-2789
Bertola, Marco, El, Gennady and Tovbis, Alexander (2016) Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2194). p. 20160340. ISSN 1364-5021
Onorato, Miguel, Proment, Davide, El, Gennady, Randoux, Stephane and Suret, Pierre (2016) On the origin of heavy-tail statistics in equations of the Nonlinear Schrödinger type. Physics Letters A, 380 (39). pp. 3173-3177. ISSN 0375-9601
El, Gennady, Khamis, Eduardo and Tovbis, Alex (2016) Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves. Nonlinearity, 29 (9). pp. 2798-2836. ISSN 0951-7715
Bigoni, Davide, Kirillov, Oleg, Misseroni, Diego, Noselli, Giovanni and Tommasini, Mirko (2016) Flutter and dissipation instabilities in structures subject to friction follower forces. In: 24th International Congress of Theoretical and Applied Mechanics (ICTAM2016), 21st-26th August 2016, Montreal, Canada.
Kirillov, Oleg and Levi, Mark (2016) Precession on a rotating saddle: a gyro force in an inertial frame. In: 24th International Congress of Theoretical and Applied Mechanics (ICTAM2016), 21st-26th August 2016, Montreal, Canada.
Randoux, Stéphane, Suret, Pierre and El, Gennady (2016) Inverse scattering transform analysis of rogue waves using local periodization procedure. Scientific Reports, 6 (1). p. 29238. ISSN 2045-2322
Tommasini, Mirko, Kirillov, Oleg, Misseroni, Diego and Bigoni, Davide (2016) The destabilizing effect of external damping: Singular flutter boundary for the Pflüger column with vanishing external dissipation. Journal of the Mechanics and Physics of Solids, 91. pp. 204-215. ISSN 0022-5096
El, Gennady, Hoefer, Mark and Shearer, Michael (2016) Expansion shock waves in regularized shallow-water theory. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2189). p. 20160141. ISSN 1364-5021
Goussev, Arseni, Jalabert, Rodolfo, Pastawski, Horacio and Wisniacki, Diego (2016) Loschmidt echo and time reversal in complex systems. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374 (2069). p. 20150383. ISSN 1364-503X
Goussev, Arseni, Robbins, Jonathan, Slastikov, Valeriy and Tretiakov, Oleg (2016) Dzyaloshinskii-Moriya domain walls in magnetic nanotubes. Physical Review B (PRB), 93 (5). 054418. ISSN 1098-0121
Chong, Christopher, Kevrekidis, Panayotis, Ablowitz, Mark and Ma, Yi-Ping (2016) Conical wave propagation and diffraction in two-dimensional hexagonally packed granular lattices. Physical Review E, 93 (1). 012909. ISSN 2470-0045
Kirillov, Oleg and Levi, Mark (2016) Rotating saddle trap as Foucault's pendulum. American Journal of Physics, 84 (1). pp. 26-31. ISSN 0002-95052015
Barbier, Maximilien, Beau, Mathieu and Goussev, Arseni (2015) Comparison between two models of absorption of matter waves by a thin time-dependent barrier. Physical Review A (PRA), 92 (053630). ISSN 1050-2947
Stefani, Frank and Kirillov, Oleg (2015) Destabilization of rotating flows with positive shear by azimuthal magnetic fields. Physical Review E, 92 (5). 051001(R). ISSN 1539-3755
Ablowitz, Mark and Ma, Yi-Ping (2015) Strong transmission and reflection of edge modes in bounded photonic graphene. Optics Letters, 40 (20). p. 4635. ISSN 0146-9592
Huard, Benoit, Easton, Jonathan and Angelova, Maia (2015) Investigation of stability in a two-delay model of the ultradian oscillations in glucose-insulin regulation. Communications in Nonlinear Science and Numerical Simulation, 26 (1-3). pp. 211-222. ISSN 1007-5704
Barra, Adriano and Moro, Antonio (2015) Exact solution of the van der Waals model in the critical region. Annals of Physics, 359. pp. 290-299. ISSN 0003-4916
Arsie, Alessandro, Lorenzoni, Paolo and Moro, Antonio (2015) Integrable viscous conservation laws. Nonlinearity, 28 (6). pp. 1859-1895. ISSN 0951-7715
Dubrovin, Boris, Grava, Tamara, Klein, Christian and Moro, Antonio (2015) On critical behaviour in systems of Hamiltonian partial differential equations. Journal of Nonlinear Science, 25 (3). pp. 631-707. ISSN 0938-8974
Goussev, Arseni (2015) Manipulating quantum wave packets via time-dependent absorption. Physical Review A (PRA), 91 (4). 043638. ISSN 1050-2947
Ablowitz, Mark, Curtis, Christopher and Ma, Yi-Ping (2015) Adiabatic dynamics of edge waves in photonic graphene. 2D Materials, 2 (2). 024003. ISSN 2053-15832014
Barra, Adriano, Guerra, Francesco, Di Lorenzo, Andrea and Moro, Antonio (2014) On quantum and relativistic mechanical analogues in mean field spin models. Proceedings of the Royal Society A, 470 (2172). ISSN 1471-2946
Kirillov, Oleg, Stefani, F. and Fukumoto, Y. (2014) Local instabilities in magnetized rotational flows: a short-wavelength approach. Journal of Fluid Mechanics, 760. pp. 591-633. ISSN 0022-1120
Arsie, Alessandro, Lorenzoni, Paolo and Moro, Antonio (2014) On integrable conservation laws. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471 (201401). ISSN 1471-2946
Ablowitz, Mark, Curtis, Christopher and Ma, Yi-Ping (2014) Linear and nonlinear traveling edge waves in optical honeycomb lattices. Physical Review A, 90 (2). 023813. ISSN 1050-2947
Lowman, Nicholas K., Hoefer, Mark. A. and El, Gennady (2014) Interactions of large amplitude solitary waves in viscous fluid conduits. Journal of Fluid Mechanics, 750. pp. 372-384. ISSN 0022-1120
Lerbet, Jean, Aldowaji, Marwa, Challamel, Noël, Kirillov, Oleg, Nicot, François and Darve, Félix (2014) Geometric degree of nonconservativity. Mathematics and Mechanics of Complex Systems, 2 (2). pp. 123-139. ISSN 2326-7186
Kirillov, Oleg, Stefani, Frank and Fukumoto, Yasuhide (2014) Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence. Fluid Dynamics Research, 46 (3). 031403. ISSN 0169-5983
Moro, Antonio (2014) Shock dynamics of phase diagrams. Annals of Physics, 343. pp. 49-60. ISSN 0003-4916
Goussev, Arseni, Robbins, Jonathan and Slastikov, Valeriy (2014) Domain wall motion in thin ferromagnetic nanotubes: Analytic results. Europhysics Letters, 105 (6). p. 67006. ISSN 0295-5075
Dubertrand, Remy and Goussev, Arseni (2014) Origin of the exponential decay of the Loschmidt echo in integrable systems. Physical Review E, 89. 022915. ISSN 1539-3755
Moro, Antonio and Trillo, Stefano (2014) Mechanism of wave breaking from a vacuum point in the defocusing nonlinear Schrödinger equation. Physical Review E (PRE), 89 (2). ISSN 1550-2376
Hoveijn, Igor and Kirillov, Oleg (2014) Determining the Stability Domain of Perturbed Four-Dimensional Systems in 1:1 Resonance. In: Nonlinear Physical Systems. Wiley, London, pp. 155-175. ISBN 9781848214200
Kirillov, Oleg and Pelinovsky, Dmitry (2014) Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations. Wiley, London. ISBN 9781848214200
Kirillov, Oleg, Challamel, N., Darve, F., Lerbet, J. and Nicot, F. (2014) Singular divergence instability thresholds of kinematically constrained circulatory systems. Physics Letters A, 378 (3). pp. 147-152. ISSN 0375-9601
de Nittis, Giuseppe, Lorenzoni, Paolo and Moro, Antonio (2014) Integrable multi-phase thermodynamic systems and Tsallis' composition rule. Journal of Physics: Conference Series, 482 (1). 012009. ISSN 1742-6588
3rd IMA Conference on Nonlinearity and Coherent Structures, 10-12 July 2019 (Supported by the IMA).
Integrable Systems in Newcastle , 5-6 April 2019 (Supported by the LMS).
Mathematics of Biological Rhythms, 3-5 December 2018 (Supported by the Academy of Medical Sciences).
- London Mathematical Society Northern Regional Meeting, 23-25 May 2018 (Supported by the LMS).