Zobrazeno 1 - 10
of 286
pro vyhledávání: '"Sandstede, Björn"'
Different cell types aggregate and sort into hierarchical architectures during the formation of animal tissues. The resulting spatial organization depends (in part) on the strength of adhesion of one cell type to itself relative to other cell types.
Externí odkaz:
http://arxiv.org/abs/2212.14113
Autor:
Parker, Ross, Sandstede, Björn
Publikováno v:
J. Diff. Eq. 334 (2022) 368-450
We consider the existence and spectral stability of periodic multi-pulse solutions in Hamiltonian systems which are translation invariant and reversible, for which the fifth-order Korteweg-de Vries equation is a prototypical example. We use Lin's met
Externí odkaz:
http://arxiv.org/abs/2010.05728
Motivated by pulse-replication phenomena observed in the FitzHugh--Nagumo equation, we investigate traveling pulses whose slow-fast profiles exhibit canard-like transitions. We show that the spectra of the PDE linearization about such pulses may cont
Externí odkaz:
http://arxiv.org/abs/2005.11683
Autor:
Sandstede, Björn, Scheel, Arnd
Spiral waves are striking self-organized coherent structures that organize spatio-temporal dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptual approach to various properties of spiral waves. Rather than studyin
Externí odkaz:
http://arxiv.org/abs/2002.10352
Publikováno v:
Physica D. 408 (July 2020), 132414
In the present work, we consider the existence and spectral stability of multi-pulse solutions in Hamiltonian lattice systems. We provide a general framework for the study of such wave patterns based on a discrete analogue of Lin's method, previously
Externí odkaz:
http://arxiv.org/abs/1910.11864
Self-organized pattern behavior is ubiquitous throughout nature, from fish schooling to collective cell dynamics during organism development. Qualitatively these patterns display impressive consistency, yet variability inevitably exists within patter
Externí odkaz:
http://arxiv.org/abs/1910.08433
Publikováno v:
SIAM J. Math. Anal. 52(5) (2020), 4705-4750
In its original formulation the Krein matrix was used to locate the spectrum of first-order star-even polynomial operators where both operator coefficients are nonsingular. Such operators naturally arise when considering first-order-in-time Hamiltoni
Externí odkaz:
http://arxiv.org/abs/1909.06411
Autor:
de Rijk, Björn, Sandstede, Björn
Planar wave trains are traveling wave solutions whose wave profiles are periodic in one spatial direction and constant in the transverse direction. In this paper, we investigate the stability of planar wave trains in reaction-diffusion systems. We es
Externí odkaz:
http://arxiv.org/abs/1803.09812
In this paper, we prove the nonlinear stability under localized perturbations of spectrally stable time-periodic source defects of reaction-diffusion systems. Consisting of a core that emits periodic wave trains to each side, source defects are impor
Externí odkaz:
http://arxiv.org/abs/1802.07676
Autor:
Parker, Ross, Sandstede, Björn
Publikováno v:
In Journal of Differential Equations 15 October 2022 334:368-450