Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Maximilian Engel"'
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022, 32, pp.113145. ⟨10.1063/5.0093804⟩
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022, 32, pp.113145. ⟨10.1063/5.0093804⟩
This study investigates the use of covariant Lyapunov vectors and their respective angles for detecting transitions between metastable states in dynamical systems, as recently discussed in several atmospheric sciences applications. In a first step, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::323da4fa9e33f4e0acef7f553e7ef13c
https://hal.science/hal-03626146v2/document
https://hal.science/hal-03626146v2/document
Publikováno v:
SIAM Journal on Applied Dynamical Systems, 19(4)
We study fast-slow maps obtained by discretization of planar fast-slow systems in continuous time. We focus on describing the so-called delayed loss of stability induced by the slow passage through a singularity in fast-slow systems. This delayed los
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eba7baa494dc5d9179d4575947c74b57
https://doi.org/10.1137/20m1313611
https://doi.org/10.1137/20m1313611
Publikováno v:
Communications in Mathematical Sciences
Communications in Mathematical Sciences, International Press, 2020, 18, pp.55-89
Communications in Mathematical Sciences, 2020, 18, pp.55-89
Communications in Mathematical Sciences, International Press, 2020, 18, pp.55-89
Communications in Mathematical Sciences, 2020, 18, pp.55-89
International audience; We translate a coagulation-framentation model, describing the dynamics of animal group size distributions , into a model for the population distribution and associate the nonlinear evolution equation with a Markov jump process
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86e8de06553335058d5742e8802b43ea
https://doi.org/10.4310/cms.2020.v18.n1.a3
https://doi.org/10.4310/cms.2020.v18.n1.a3
We study the problem of preservation of maximal canards for time discretized fast–slow systems with canard fold points. In order to ensure such preservation, certain favorable structure-preserving properties of the discretization scheme are require
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca67ac72a4027a4fca21a338b76024f4
https://doi.org/10.1007/s00332-021-09778-2
https://doi.org/10.1007/s00332-021-09778-2
Autor:
Agnes Balthasar-Wach, Maximilian Engel
Publikováno v:
Normativity and Diversity in Family Law ISBN: 9783030831059
Normativity and Diversity in Family Law
Normativity and Diversity in Family Law
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b06475227d9ae13bcaefd01cd8d84605
https://doi.org/10.1007/978-3-030-83106-6_12
https://doi.org/10.1007/978-3-030-83106-6_12
Publikováno v:
Journal of Difference Equations and Applications. 25:1024-1051
Motivated by the normal form of a fast-slow ordinary differential equation exhibiting a pitchfork singularity we consider the discrete-time dynamical system that is obtained by an application of the explicit Euler method. Tracking trajectories in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d5bcf5774a714282b0c1c8956d01714
https://doi.org/10.1080/10236198.2019.1647185
https://doi.org/10.1080/10236198.2019.1647185
Autor:
Maximilian Engel, Christian Kuehn
Publikováno v:
Nonlinearity. 32:2365-2391
We extend slow manifolds near a transcritical singularity in a fast-slow system given by the explicit Euler discretization of the corresponding continuous-time normal form. The analysis uses the blow-up method and direct trajectory-based estimates. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::044ec3e2cfdf096b518afe9e1aa58704
https://doi.org/10.1088/1361-6544/ab15c1
https://doi.org/10.1088/1361-6544/ab15c1
Publikováno v:
Transactions of the American Mathematical Society. 372:6343-6370
We introduce the notion of Lyapunov exponents for random dynamical systems, conditioned to tra-jectories that stay within a bounded domain for asymptotically long times. This is motivated by thedesire to characterize local dynamical properties in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::faad9e27acf37a21717ded40ab824dbc
https://doi.org/10.1090/tran/7803
https://doi.org/10.1090/tran/7803
Publikováno v:
Journal of Statistical Physics. 183
In this paper we study coupled fast-slow ordinary differential equations (ODEs) with small time scale separation parameter $$\varepsilon $$ ε such that, for every fixed value of the slow variable, the fast dynamics are sufficiently chaotic with ergo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31f64973ce27e0c254db5f99b4a7474a
https://doi.org/10.1007/s10955-021-02765-7
https://doi.org/10.1007/s10955-021-02765-7
This volume contains the proceedings of the BIRS Workshop'Topics in Multiple Time Scale Dynamics,'held from November 27– December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics is r