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Mathematical Modelling of Natural Phenomena

Singular perturbations and multiscale systems

A. Korobeinikov, J. T. Lázaro, M.P. Mortell and V.A. Sobolev (Eds.)

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The existence and asymptotic stability of periodic solutions with an interior layer of Burgers type equations with modular advection

Nikolay Nefedov

Published online: 02 April 2019

DOI: https://doi.org/10.1051/mmnp/2019009

Multiscale dynamics of an adaptive catalytic network

Christian Kuehn

Published online: 02 April 2019

DOI: https://doi.org/10.1051/mmnp/2019015

The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry

Michael P. Mortell and Brian R. Seymour

Published online: 05 April 2019

DOI: https://doi.org/10.1051/mmnp/2019005

Fisher-KPP dynamics in diffusive Rosenzweig–MacArthur and Holling–Tanner models

Hong Cai, Anna Ghazaryan and Vahagn Manukian

Published online: 27 May 2019

DOI: https://doi.org/10.1051/mmnp/2019017

Inhibition-based relaxation oscillations emerge in resonator networks

Andrea Bel, Ana Torresi and Horacio G. Rotstein

Published online: 27 May 2019

DOI: https://doi.org/10.1051/mmnp/2019019

Open Access

Parabolic bursting, spike-adding, dips and slices in a minimal model

Mathieu Desroches, Jean-Pierre Francoise and Martin Krupa

Published online: 28 May 2019

DOI: https://doi.org/10.1051/mmnp/2019018

Modeling of excitatory amino acid transporters and clearance of synaptic cleft on millisecond time scale

Denis Shchepakin, Leonid Kalachev and Michael Kavanaugh

Published online: 07 June 2019

DOI: https://doi.org/10.1051/mmnp/2019020

Black swans and canards in two predator – one prey model

Elena Shchepakina

Published online: 07 June 2019

DOI: https://doi.org/10.1051/mmnp/2019024

Canards Existence in the Hindmarsh–Rose model

Jean-Marc Ginoux, Jaume Llibre and Kiyoyuki Tchizawa

Published online: 12 July 2019

DOI: https://doi.org/10.1051/mmnp/2019012

Efficient decomposition of singularly perturbed systems

Vladimir Sobolev

Published online: 12 July 2019

DOI: https://doi.org/10.1051/mmnp/2019023