Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Jan Bouwe van den Berg"'
Publikováno v:
PLoS ONE, Vol 5, Iss 8, p e11664 (2010)
Ants use a great variety of recruitment methods to forage for food or find new nests, including tandem running, group recruitment and scent trails. It has been known for some time that there is a loose correlation across many taxa between species-spe
Externí odkaz:
https://doaj.org/article/e092da53f708450faf4890df5c6804a6
Publikováno v:
van den Berg, J B, Groothedde, C & Lessard, J P 2022, ' A General Method for Computer-Assisted Proofs of Periodic Solutions in Delay Differential Problems ', Journal of Dynamics and Differential Equations, vol. 34, no. 2, pp. 853-896 . https://doi.org/10.1007/s10884-020-09908-6
Journal of Dynamics and Differential Equations, 34(2), 853-896. Springer Verlag
Journal of Dynamics and Differential Equations, 34(2), 853-896. Springer Verlag
In this paper we develop a general computer-assisted proof method for periodic solutions to delay differential equations. The class of problems considered includes systems of delay differential equations with an arbitrary number of (forward and backw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::027d8d17f8dae75891651111f83a4f05
https://research.vu.nl/en/publications/a8c4b460-3915-4089-aecd-f0c7aed4fb56
https://research.vu.nl/en/publications/a8c4b460-3915-4089-aecd-f0c7aed4fb56
Autor:
Maciej J. Capiński, Jason D. Mireles James, Warwick Tucker, Daniel Wilczak, Jan Bouwe van den Berg
Publikováno v:
Capiński, M J, Mireles James, J D, Tucker, W, Wilczak, D & van den Berg, J B 2023, ' Computer assisted proofs in dynamical systems ', Communications in Nonlinear Science and Numerical Simulation, vol. 118, 106998 . https://doi.org/10.1016/j.cnsns.2022.106998
Communications in Nonlinear Science and Numerical Simulation, 118:106998. Elsevier
Communications in Nonlinear Science and Numerical Simulation, 118:106998. Elsevier
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85b32e3e71a0a930bd58ed691846ab84
https://research.vu.nl/en/publications/87e3d482-7686-498b-8230-7c1c813e29f4
https://research.vu.nl/en/publications/87e3d482-7686-498b-8230-7c1c813e29f4
Publikováno v:
van den Berg, J B, Duchesne, G W & Lessard, J P 2022, ' ROTATION INVARIANT PATTERNS FOR A NONLINEAR LAPLACE-BELTRAMI EQUATION: A TAYLOR-CHEBYSHEV SERIES APPROACH ', Journal of Computational Dynamics, vol. 9, no. 2, pp. 253-278 . https://doi.org/10.3934/jcd.2022005
Journal of Computational Dynamics, 9(2), 253-278. American Institute of Mathematical Sciences
Journal of Computational Dynamics, 9(2), 253-278. American Institute of Mathematical Sciences
In this paper, we introduce a rigorous computational approach to prove existence of rotation invariant patterns for a nonlinear Laplace-Beltrami equation posed on the 2-sphere. After changing to spherical coordinates, the problem becomes a singular s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0c6ad9f2d393faf2a1bfc4a649a47c8
https://hdl.handle.net/1871.1/75b419e2-2a6f-473e-8de8-89576e69f725
https://hdl.handle.net/1871.1/75b419e2-2a6f-473e-8de8-89576e69f725
Publikováno v:
Bakker, B H & van den Berg, J B 2023, ' Large Fronts in Nonlocally Coupled Systems Using Conley–Floer Homology ', Annales Henri Poincare, vol. 24, no. 2, pp. 605-696 . https://doi.org/10.1007/s00023-022-01219-4
Annales Henri Poincare, 24(2), 605-696. Springer Verlag
Annales Henri Poincare, 24(2), 605-696. Springer Verlag
In this paper, we study travelling front solutions for nonlocal equations of the type $$\begin{aligned} \partial _t u = N * S(u) + \nabla F(u), \qquad u(t,x) \in {{\textbf {R}}}^d. \end{aligned}$$ ∂ t u = N ∗ S ( u ) + ∇ F ( u ) , u ( t , x )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce7524bb5bb86e3f3c92217163e80f7f
https://hdl.handle.net/1871.1/aef9589b-4251-4070-a510-c56ff7049f76
https://hdl.handle.net/1871.1/aef9589b-4251-4070-a510-c56ff7049f76
Publikováno v:
SIAM Journal on Applied Dynamical Systems, 20(2), 573-607. Society of Industrial and Applied Mathematics
Van den Berg, J B, Lessard, J P & Queirolo, E 2021, ' Rigorous verification of Hopf bifurcations via desingularization and continuation ', SIAM Journal on Applied Dynamical Systems, vol. 20, no. 2, pp. 573-607 . https://doi.org/10.1137/20M1343464
Van den Berg, J B, Lessard, J P & Queirolo, E 2021, ' Rigorous verification of Hopf bifurcations via desingularization and continuation ', SIAM Journal on Applied Dynamical Systems, vol. 20, no. 2, pp. 573-607 . https://doi.org/10.1137/20M1343464
In this paper we present a general approach to rigorously validate Hopf bifurcations as well as saddle-node bifurcations of periodic orbits in systems of ODEs. By a combination of analytic estimates and computer-assisted calculations, we follow solut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2befaf8f8cb30d6e894cb656eb6d16d
https://research.vu.nl/en/publications/916975b1-98fa-497e-8e2c-b3deee2fb274
https://research.vu.nl/en/publications/916975b1-98fa-497e-8e2c-b3deee2fb274
Autor:
Elena Queirolo, Jan Bouwe Van den Berg
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation, 108:106133, 1-22. Elsevier
van den Berg, J B & Queirolo, E 2022, ' Rigorous validation of a Hopf bifurcation in the Kuramoto–Sivashinsky PDE ', Communications in Nonlinear Science and Numerical Simulation, vol. 108, 106133, pp. 1-22 . https://doi.org/10.1016/j.cnsns.2021.106133
van den Berg, J B & Queirolo, E 2022, ' Rigorous validation of a Hopf bifurcation in the Kuramoto–Sivashinsky PDE ', Communications in Nonlinear Science and Numerical Simulation, vol. 108, 106133, pp. 1-22 . https://doi.org/10.1016/j.cnsns.2021.106133
We use computer-assisted proof techniques to prove that a branch of non-trivial equilibrium solutions in the Kuramoto–Sivashinsky partial differential equation undergoes a Hopf bifurcation. Furthermore, we obtain an essentially constructive proof o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf6f924045291660a9e5b29d05b342d3
https://research.vu.nl/en/publications/57bda5cb-ccbf-4058-ae2e-c75327c60806
https://research.vu.nl/en/publications/57bda5cb-ccbf-4058-ae2e-c75327c60806
Autor:
Jan Bouwe van den Berg, J. F. Williams
Publikováno v:
Van Den Berg, J B & Williams, J F 2019, ' Rigorously computing symmetric stationary states of the Ohta-Kawasaki problem in three dimensions ', SIAM Journal on Mathematical Analysis, vol. 51, no. 1, pp. 131-158 . https://doi.org/10.1137/17M1155624
SIAM Journal on Mathematical Analysis, 51(1), 131-158. Society for Industrial and Applied Mathematics Publications
SIAM Journal on Mathematical Analysis, 51(1), 131-158. Society for Industrial and Applied Mathematics Publications
In this paper we develop a symmetry preserving method for the rigorous computation of stationary states of the Ohta-Kawasaki partial differential equation in three space dimensions. By preserving the relevant symmetries we achieve an enormous reducti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e2a5040a7e821c9c9e8cedbd9af6de4
https://doi.org/10.1137/17m1155624
https://doi.org/10.1137/17m1155624
Publikováno v:
SIAM Journal on Applied Dynamical Systems, 17(4), 2634-2706. Society of Industrial and Applied Mathematics
Bakker, B, Van Den Berg, J B & Vandervorst, R 2018, ' A floer homology approach to traveling waves in reaction-diffusion equations on cylinders ', SIAM Journal on Applied Dynamical Systems, vol. 17, no. 4, pp. 2634-2706 . https://doi.org/10.1137/17M1162019
Bakker, B, Van Den Berg, J B & Vandervorst, R 2018, ' A floer homology approach to traveling waves in reaction-diffusion equations on cylinders ', SIAM Journal on Applied Dynamical Systems, vol. 17, no. 4, pp. 2634-2706 . https://doi.org/10.1137/17M1162019
Traveling waves form a prominent feature in the dynamics of scalar reaction-diffusion equations on unbounded cylinders. The traveling waves can be identified with the bounded solutions of the (Formula Prtsented) Ω ⊂ R d is a bounded domain, Δ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb505f002e99f0c02425de1c62548237
https://hdl.handle.net/1871.1/8d8884d1-6728-41a4-b84e-a7f93d65a808
https://hdl.handle.net/1871.1/8d8884d1-6728-41a4-b84e-a7f93d65a808
Publikováno v:
van den Berg, J B, Breden, M, Lessard, J P & van Veen, L 2021, ' Spontaneous Periodic Orbits in the Navier–Stokes Flow ', Journal of nonlinear science, vol. 31, no. 2, 41, pp. 1-64 . https://doi.org/10.1007/s00332-021-09695-4
Journal of nonlinear science, 31(2):41, 1-64. Springer New York
Journal of nonlinear science, 31(2):41, 1-64. Springer New York
In this paper, a general method to obtain constructive proofs of existence of periodic orbits in the forced autonomous Navier–Stokes equations on the three-torus is proposed. After introducing a zero finding problem posed on a Banach space of geome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc3f841b2c10708066afc09a124ddbc5
https://hdl.handle.net/1871.1/356b79de-8228-48f3-a3a4-bd4eae322e46
https://hdl.handle.net/1871.1/356b79de-8228-48f3-a3a4-bd4eae322e46