Thomas Michelitsch

41
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Publications

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Periodic solutions and chaotic attractors of a modified epidemiological SCIS model

Michael Bestehorn , Thomas M. Michelitsch
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2025, 35 (2), pp.023104. ⟨10.1063/5.0241314⟩
Article dans une revue hal-04699933 v1
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Random walks with stochastic resetting in complex networks: a discrete time approach

Thomas M. Michelitsch , Giuseppe D’onofrio , Federico Polito , Alejandro Riascos
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2025, Anomalous Diffusion and Fluctuations in Complex Systems and Network, 35 (013119), https://doi.org/10.1063/5.0238517. ⟨10.1063/5.0238517⟩
Article dans une revue hal-04698128 v1
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Three-dimensional Green tensor of one-dimensional hexagonal quasicrystals

Markus Lazar , Thomas M. Michelitsch , Eleni Agiasofitou
Crystals, 2024, 14 (12), pp.1034. ⟨10.3390/cryst14121034⟩
Article dans une revue hal-04798496 v2
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Oscillating behavior of a compartmental model with retarded noisy dynamic infection rate

Michael Bestehorn , Thomas M. Michelitsch
International journal of bifurcation and chaos in applied sciences and engineering , 2023, 33 (05), pp.2350056. ⟨10.1142/S0218127423500566⟩
Article dans une revue hal-03961657 v1
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Semi-Markovian discrete-time telegraph process with generalized Sibuya waiting times

Thomas M Michelitsch , Federico Polito , Alejandro P Riascos
Mathematics , 2023, 11 (2), pp.471. ⟨10.3390/math11020471⟩
Article dans une revue hal-03874495 v1
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Asymmetric random walks with bias generated by discrete-time counting processes

Thomas M Michelitsch , Federico Polito , Alejandro P Riascos
Communications in Nonlinear Science and Numerical Simulation, 2022, 109 (106121), ⟨10.1016/j.cnsns.2021.106121⟩
Article dans une revue hal-03280274 v2
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ON DISCRETE TIME GENERALIZED FRACTIONAL POISSON PROCESSES AND RELATED STOCHASTIC DYNAMICS

Thomas Michelitsch , Federico Polito , Alejandro Perez Riascos
Physica A: Statistical Mechanics and its Applications, 2021, ⟨10.1016/j.physa.2020.125541⟩
Article dans une revue hal-02589793 v1
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GENERALIZED FRACTIONAL POISSON PROCESS AND RELATED STOCHASTIC DYNAMICS

Thomas Michelitsch , Alejandro Pérez Riascos
Fractional Calculus and Applied Analysis, 2020, 23, ⟨10.1515/fca-2020-0034⟩
Article dans une revue hal-02888237 v1
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Continuous time random walk and diffusion with generalized fractional Poisson process

Thomas Michelitsch , Alejandro Perez Riascos
Physica A: Statistical Mechanics and its Applications, 2020, ⟨10.1016/j.physa.2019.123294⟩
Article dans une revue hal-02336450 v1

Non-local biased random walks and fractional transport on directed networks

Alejandro Pérez Riascos , T.M. Michelitsch , A. Pizarro-Medina
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2020, ⟨10.1103/PhysRevE.102.022142⟩
Article dans une revue hal-02540672 v1
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Random walks with long-range steps generated by functions of Laplacian matrices

Alejandro Pérez Riascos , Thomas Michelitsch , Bernard Collet , Andrzej Nowakowski , Franck Nicolleau
Journal of Statistical Mechanics: Theory and Experiment, 2018, 2018 (4), pp.043404. ⟨10.1088/1742-5468/aab04c⟩
Article dans une revue hal-02315587 v1
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Recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices

Thomas Michelitsch , Bernard Collet , Alejandro Pérez Riascos , Andrzej Nowakowski , Franck Nicolleau
Journal of Physics: Conference Series, 2017, ⟨10.1088/1751-8121/aa9008⟩
Article dans une revue hal-01543330 v1
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Fractional random walk lattice dynamics

Thomas M. Michelitsch , Bernard Collet , Alejandro Perez Riascos , Andrzeij Nowakowski , Franck C.G.A Nicolleau
Journal of Physics A: Mathematical and Theoretical, 2017, J. Phys. A: Math. Theor. 50, pp.055003 ⟨10.1088/1751-8121/aa5173⟩
Article dans une revue hal-01357909 v1
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Acoustic emission during the solvent mediated cooling crystallization of citric acid

Xingjun Wang , Gilles Févotte , Ying Huang , Thomas Michelitsch
Powder Technology, 2016, 301, pp.70 à 77. ⟨10.1016/j.powtec.2016.05.057⟩
Article dans une revue hal-01393432 v1
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A fractional generalization of the classical lattice dynamics approach

T.M. Michelitsch , B.A. Collet , A.P. Riascos , A.F. Nowakowski , F.C.G.A. Nicolleau
Chaos, Solitons & Fractals, 2016, 92, pp.43-50. ⟨10.1016/j.chaos.2016.09.009⟩
Article dans une revue hal-01378769 v1
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Fractional Laplacian matrix on the finite periodic linear chain and its periodic Riesz fractional derivative continuum limit

Thomas Michelitsch , Bernard Collet , Andrzej F. Nowakowski , Franck C.G.A Nicolleau
Journal of Physics A: Mathematical and Theoretical, 2015, 48 (29), 295202 (27pp). ⟨10.1088/1751-8113/48/29/295202⟩
Article dans une revue hal-01096676 v1
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On Nonlocal Computation of Eigenfrequencies of Beams Using Finite Difference and Finite Element Methods

Noël Challamel , Vincent Picandet , Issac Elishakoff , Chien Ming Wang , Bernard Collet et al.
International Journal of Structural Stability and Dynamics, 2015, 15 (7), ⟨10.1142/S0219455415400088⟩
Article dans une revue hal-01115607 v1
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Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua

Noël Challamel , Vincent Picandet , Bernard Collet , Thomas Michelitsch , Isaac Elishakoff et al.
European Journal of Mechanics - A/Solids, 2015, 53, pp.107-120. ⟨10.1016/j.euromechsol.2015.03.003⟩
Article dans une revue hal-01459729 v1
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Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain

Thomas Michelitsch , Bernard Collet , Andrzej F. Nowakowski , Franck C.G.A Nicolleau
Chaos, Solitons & Fractals, 2015, ⟨10.1016/j.chaos.2015.10.035⟩
Article dans une revue hal-01223911 v1

A nonlocal constitutive model generated by matrix functions for polyatomic periodic linear chains

Thomas Michelitsch , Bernard Collet
Archive of Applied Mechanics, 2014, 84 (9-11, SI), pp.1477-1500. ⟨10.1007/s00419-014-0905-3⟩
Article dans une revue hal-01459734 v1
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A regularized representation of the fractional Laplacian in n dimensions and its relation to Weierstrass-Mandelbrot type fractal functions

Thomas Michelitsch , Gérard Maugin , Shahram Derogar , Rahman Mujibur
IMA Journal of Applied Mathematics, 2014, SOURCE IMA Journal of Applied Mathematics, 79 (5), pp.753 - 777. ⟨10.1093/imamat/hxu018⟩
Article dans une revue hal-01101502 v1
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On nonconservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach

Noël Challamel , Zhen Zhang , C. M. Wang , J. N. Reddy , Qiang Wang et al.
Archive of Applied Mechanics, 2014, 84 (9-11), pp.1275-1292. ⟨10.1007/s00419-014-0862-x⟩
Article dans une revue hal-01459736 v1
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Nonlocal constitutive laws generated by matrix functions: Lattice Dynamics Models and their Continuum Limits

Thomas Michelitsch , Bernard Collet , Xingjun Wang
International Journal of Engineering Science, 2014, 80, pp.106-123. ⟨10.1016/j.ijengsci.2014.02.029⟩
Article dans une revue hal-00848924 v1
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DISPERSION RELATIONS AND WAVE OPERATORS IN SELF-SIMILAR QUASI-CONTINUOUS LINEAR CHAINS

Thomas Michelitsch , Gérard A. Maugin , Franck C.G.A Nicolleau , Andrzej. F. Nowakowski , Shahram Derogar
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2009, 80, pp.011135. ⟨10.1103/PhysRevE.80.011135⟩
Article dans une revue hal-00371945 v2
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ANALYSIS OF THE VIBRATIONAL MODE SPECTRUM OF A LINEAR CHAIN WITH SPATIALLY EXPONENTIAL PROPERTIES

Thomas Michelitsch , Gérard A. Maugin , Andrzej. F. Nowakowski , Franck C.G.A Nicolleau
International Journal of Engineering Science, 2009, 47 (2), pp.209-220. ⟨10.1016/j.ijengsci.2008.08.011⟩
Article dans une revue hal-00374799 v1
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From random walks to epidemic spreading: Compartment model with mortality for vector transmitted diseases

Téo Granger , Thomas M. Michelitsch , Bernard A. Collet , Michael Bestehorn , Alejandro P. Riascos
2025
Pré-publication, Document de travail hal-04945871 v1
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Traditional aging theories: which ones are useful?

Jicun Wang-Michelitsch , Thomas Michelitsch
2017
Pré-publication, Document de travail hal-01134912 v3
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Aging as a process of accumulation of Misrepairs

Jicun Wang-Michelitsch , Thomas Michelitsch
2015
Pré-publication, Document de travail hal-01135021 v3
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Development of aging changes: self-accelerating and inhomogeneous

Jicun Wang-Michelitsch , Thomas Michelitsch
2015
Pré-publication, Document de travail hal-01135315 v2
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THE FRACTIONAL LAPLACIAN AS A LIMITING CASE OF A SELF-SIMILAR SPRING MODEL AND APPLICATIONS TO n-DIMENSIONAL ANOMALOUS DIFFUSION

Thomas Michelitsch , Gérard A. Maugin , Andrzej F. Nowakowski , Franck C.G.A Nicolleau , Mujibur Rahman et al.
2013
Pré-publication, Document de travail hal-00839196 v1
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An approach to anomalous diffusion in the n-dimensional space generated by a self-similar Laplacian

Thomas Michelitsch , Gérard Maugin , Andrzej F. Nowakowski , Franck C.G.A Nicolleau , Mujibur Rahman
2012
Pré-publication, Document de travail hal-00721688 v2
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AGING AS A CONSEQUENCE OF MISREPAIR -- A NOVEL THEORY OF AGING

Jicun Wang , Thomas Michelitsch , Arne Wunderlin , Ravi Mahadeva
2011
Pré-publication, Document de travail hal-00373085 v3
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A self-similar field theory for 1D linear elastic continua and self-similar diffusion problem

Thomas Michelitsch , Gérard A. Maugin , Rahman Mujibur , Shahram Derogar , Andrzej F. Nowakowski et al.
2011
Pré-publication, Document de travail hal-00595771 v1
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Sur une généralisation de l'opérateur fractionnaire

Thomas Michelitsch , Gérard A. Maugin , Shahram Derogar , Andrzeij Nowakowski , Franck Nicolleau
2010
Pré-publication, Document de travail hal-00639109 v1
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Relations de dispersion pour chaînes linéaires comportant des interactions harmoniques auto-similaires

Thomas Michelitsch , Gérard A. Maugin , Franck C.G.A Nicolleau , Andrzej F. Nowakowski , Shahram Derogar
2009
Pré-publication, Document de travail hal-00420287 v1
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On the Dynamic Green's Function of the Three-Dimensional Infinite Anisotropic Medium

Thomas M. Michelitsch
Editors: Holm Altenbach, Victor A. Eremeyev. Dynamics of Discrete and Continuum Structures and Media https://link.springer.com/book/9783031756252, Springer, In press, 978-3-031-75628-3
Chapitre d'ouvrage hal-04680392 v1
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Epidemiological Model with Fluctuations

Michael Bestehorn , Thomas M. Michelitsch
OttoChaos: From the nonlinear dynamical systems theory to observational chaos, Christophe Letellier Sylvain-Mangiarotti, Denisse Sciamarella, Oct 2023, Toulouse, France
Communication dans un congrès hal-04194275 v1
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Compartment model with retarded transition rates

Téo Granger , Thomas M. Michelitsch , Bernard A Collet , Michael Bestehorn , Alejandro Perez P. Riascos
OttoChaos: From the nonlinear dynamical systems theory to observational chaos, Sylvain Mangiarotti, Christophe Letellier, Denisse Sciamarella, Oct 2023, Toulouse, France
Communication dans un congrès hal-04193140 v1
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Fractional Lattice Dynamics: Nonlocal constitutive behavior generated by power law matrix functions and their fractional continuum limit kernels

Thomas Michelitsch , Bernard Collet , Alejandro Perez Riascos , Andrzej F Nowakowski , Franck C G A Nicolleau
Advanced Problems in Mechanics http://www.apm-conf.spb.ru/, IPME RAS, Peter the Great St. Petersburg Polytechnic University, Jun 2016, St. Petersburg, Russia
Communication dans un congrès hal-01298786 v2
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Relations de dispersion pour chaînes linéaires comportant des interactions harmoniques auto-similaires

Thomas M. Michelitsch , Gérard A. Maugin , Franck C.G.A Nicolleau , Andrzej F. Nowakowski , Shahram Derogar
10ème Congrès Français d'Acoustique, Apr 2010, Lyon, France. http://cfa.sfa.asso.fr/cd1/data/articles/000001.pdf
Communication dans un congrès hal-00530290 v1
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Mathematics for Dynamicists - Lecture Notes

Thomas Michelitsch
Doctoral. Mathematics for Dynamicists, France. 2006
Cours cel-01128826 v1