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Escape Rates and Singular Limiting Distributions for Intermittent Maps with Holes

Mark Demers , Bastien Fernandez
Transactions of the American Mathematical Society, 2016, 368 (7), pp.4907-4932. ⟨10.1090/tran/6481⟩
Article dans une revue hal-00903238v2
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Breaking of Ergodicity in Expanding Systems of Globally Coupled Piecewise Affine Circle Maps

Bastien Fernandez
Journal of Statistical Physics, 2014, 154 (4), pp.999-1029. ⟨10.1007/s10955-013-0903-9⟩
Article dans une revue hal-00903237v1

Slow-fast dynamics in stochastic Lotka-Volterra systems

Julien Barré , Bastien Fernandez , Grégoire Panel
2022
Pré-publication, Document de travail hal-03806991v1

TCR beta allelic exclusion in dynamical models of V(D)J recombination based on allele independence.

Etienne Farcot , Marie Bonnet , Sébastien Jaeger , Salvatore Spicuglia , Bastien Fernandez , et al.
Journal of Immunology, 2010, 185 (3), pp.1622-32. ⟨10.4049/jimmunol.0904182⟩
Article dans une revue hal-00553572v1
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Discrete time piecewise affine models of genetic regulatory networks

Ricardo Coutinho , Bastien Fernandez , Ricardo Lima , Arnaud Meyroneinc
2005
Pré-publication, Document de travail hal-00004809v1
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Discontinuous generalized synchronization of chaos

Bastien Fernandez
Dynamical Systems: An International Journal, 2012, 27 (1), pp.105-116. ⟨10.1080/14689367.2011.594787⟩
Article dans une revue hal-00562485v2
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Extensive bounds on the topological entropy of repellers in piecewise expanding coupled map lattices

Ricardo Coutinho , Bastien Fernandez
Ergodic Theory and Dynamical Systems, 2013, 33 (3), pp.870-895. ⟨10.1017/S0143385712000144⟩
Article dans une revue hal-00612623v1
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Statistical properties of invariant graphs in discontinuous forced systems

Bastien Fernandez , Anthony Quas
Nonlinearity, 2011, 24, pp.2477-2488
Article dans une revue hal-00562489v1
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Metastability in Interacting Nonlinear Stochastic Differential Equations. II: Large-N Behaviour

Nils Berglund , Bastien Fernandez , Barbara Gentz
Nonlinearity, 2007, 20 (11), pp.2583-2614. ⟨10.1088/0951-7715/20/11/007⟩
Article dans une revue hal-00115417v3
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Athermal dynamics of strongly coupled stochastic three-state oscillators

Bastien Fernandez , Lev Tsimring
Physical Review Letters, 2008, 100 (16), pp.165705
Article dans une revue hal-00265346v1

Computer-Assisted Proof of Loss of Ergodicity by Symmetry Breaking in Expanding Coupled Maps

Bastien Fernandez
Annales Henri Poincaré, 2020, 21 (2), pp.649-674. ⟨10.1007/s00023-019-00876-2⟩
Article dans une revue hal-02500007v1

Epigenetic aspects of lymphocyte antigen receptor gene rearrangement or 'when stochasticity completes randomness

Sébastien Jaeger , Bastien Fernandez , Pierre Ferrier
Immunology, 2013, 139 (2), pp.141-150. ⟨10.1111/imm.12057⟩
Article dans une revue hal-00968518v1

Selective Chaos of Travelling Waves in Feedforward Chains of Bistable Maps

Bastien Fernandez
The Many Facets of Complexity Science, Springer Singapore, pp.45-62, 2021, Nonlinear Physical Science, ⟨10.1007/978-981-16-2853-5_4⟩
Chapitre d'ouvrage hal-03414684v1
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InAsUPD4

Bastien Fernandez
Logiciel hal-02292627v1
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Spatial chaos of traveling waves has a given velocity

Bastien Fernandez , Beatriz Luna , Edgardo Ugalde
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2009, 80, pp.025203(R)
Article dans une revue hal-00411530v2
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Global synchronisation in translation invariant coupled map lattices

Bastien Fernandez
International journal of bifurcation and chaos in applied sciences and engineering , 2008, 18, pp.3455-3459
Article dans une revue hal-00261306v1
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Population Dynamics of Globally Coupled Degrade-and-Fire Oscillators

Alex Blumenthal , Bastien Fernandez
Journal of Dynamics and Differential Equations, 2017, 29 (2), pp.523-547. ⟨10.1007/s10884-015-9449-7⟩
Article dans une revue hal-00986128v1
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Fronts between periodic patterns for bistable recursions on lattices

Ricardo Coutinho , Bastien Fernandez
Journal of Dynamics and Differential Equations, 2013, 25, pp.17-31. ⟨10.1007/s10884-012-9285-y⟩
Article dans une revue hal-00660246v1

Clustering in Cell Cycle Dynamics with General Response/Signaling Feedback

Todd Young , Bastien Fernandez , Richard Buckalew , Gregory Moses , Erik Boczko
Journal of Theoretical Biology, 2012, 292, pp.103-115. ⟨10.1016/j.jtbi.2011.10.002⟩
Article dans une revue hal-00803131v1
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Typical trajectories of coupled degrade-and-fire oscillators: From dispersed populations to massive clustering

Bastien Fernandez , Lev Tsimring
Journal of Mathematical Biology, 2014, 68 (7), pp.1627-1652. ⟨10.1007/s00285-013-0680-8⟩
Article dans une revue hal-00687741v1
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Asymptotic periodicity in networks of degrade-and-fire oscillators

Alex Blumenthal , Bastien Fernandez
Physica D: Nonlinear Phenomena, 2016, 323-324, pp.49-56. ⟨10.1016/j.physd.2015.10.014⟩
Article dans une revue hal-01342983v1

Escape rate and singular limiting distributions for intermittent maps with holes

Bastien Fernandez , Mark Demers
Transactions of the American Mathematical Society, 2016, 368 (7), pp.4907-4932
Article dans une revue hal-01490942v1
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Symmetry-breaking-induced loss of ergodicity in maps of the simplex with inversion symmetry

Bastien Fernandez , Eric Vernier
2022
Pré-publication, Document de travail hal-03888435v1
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Co-Repressive Interaction and Clustering of Degrade-and-Fire Oscillators

Bastien Fernandez , Lev Tsimring
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2011, 84, pp.051916. ⟨10.1103/PhysRevE.84.051916⟩
Article dans une revue hal-00576106v1
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Metastability in Interacting Nonlinear Stochastic Differential Equations. I: From Weak Coupling to Synchronisation

Nils Berglund , Bastien Fernandez , Barbara Gentz
Nonlinearity, 2007, 20 (11), pp.2551-2581. ⟨10.1088/0951-7715/20/11/006⟩
Article dans une revue hal-00115416v3
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Extensive escape rate in lattices of weakly coupled expanding maps with holes

Jean-Baptiste Bardet , Bastien Fernandez
Discrete and Continuous Dynamical Systems - Series A, 2011, 31 (3), pp.669 - 684. ⟨10.3934/dcds.2011.31.669⟩
Article dans une revue hal-00495616v1

Conditioning problems for invariant sets of expanding piecewise affine mappings: application to loss of ergodicity in globally coupled maps

Bastien Fernandez , Fanni Sélley
Nonlinearity, 2022, 35 (8), pp.3991-4042. ⟨10.1088/1361-6544/ac640f⟩
Article dans une revue hal-03722661v1

Landau Damping to Partially Locked States in the Kuramoto Model

Helge Dietert , Bastien Fernandez , David Gerard-Varet
Communications on Pure and Applied Mathematics, 2018, 71 (5), pp.953 - 993. ⟨10.1002/cpa.21741⟩
Article dans une revue hal-01925014v1

Revisiting asymptotic periodicity in networks of degrade-and-fire oscillators

Bastien Fernandez
The European Physical Journal. Special Topics, 2018, 227 (10-11), pp.1267-1279. ⟨10.1140/epjst/e2018-800068-8⟩
Article dans une revue hal-01951541v1
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Population dynamics in fresh product markets with no posted prices

Ali Ellouze , Bastien Fernandez
2023
Pré-publication, Document de travail hal-04275669v1