[图书][B] Nonlinear physics of ecosystems

E Meron - 2015 - api.taylorfrancis.com
A significant part of this book is based on a graduate course on pattern formation which I
have been teaching during the past two decades in the Physics Department at Ben-Gurion …

Pattern formation in the presence of symmetries

GH Gunaratne, Q Ouyang, HL Swinney - Physical Review E, 1994 - APS
We present a detailed theoretical study of pattern formation in planar continua with
translational, rotational, and reflection symmetry. The theoretical predictions are tested in …

Spatial patterns and spatiotemporal dynamics in chemical systems

A De Wit - Applications of Fractional Calculus in Physics, Adv …, 2007 - books.google.com
Spatial patterns and spatiotemporal dynamics in chemical systems Page 448 SPATIAL
PATTERNS AND SPATIOTEMPORAL DYNAMICS IN CHEMICAL SYSTEMS A. DE WIT Service …

Stability of Turing patterns in the Brusselator model

B Pena, C Perez-Garcia - Physical review E, 2001 - APS
The selection and competition of Turing patterns in the Brusselator model are reviewed. The
stability of stripes and hexagons towards spatial perturbations is studied using the amplitude …

Lamellar structures and self-replicating spots in a reaction-diffusion system

KJ Lee, HL Swinney - Physical Review E, 1995 - APS
Experiments on a ferrocyanide-iodate-sulfite reaction-diffusion system reveal several
different planar spatial patterns: stationary lamellae arising from a transverse front instability …

Diffusive instabilities and chemical reactions

P Borckmans, G Dewel, A De Wit, E Dulos… - … journal of bifurcation …, 2002 - World Scientific
Diffusive instabilities provide the engine for an ever increasing number of dissipative
structures. In this class autocatalytic chemical systems are prone to generate temporal and …

Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay

G Guo, Q Qin, H Cao, Y Jia, D Pang - Chaos, Solitons & Fractals, 2024 - Elsevier
Vegetation patterns can reflect vegetation's spatial distribution in space and time. The
saturated water absorption effect between the soil–water and vegetation plays a crucial role …

Marangoni patterns in a non-isothermal liquid with deformable interface covered by insoluble surfactant

AB Mikishev, AA Nepomnyashchy - Colloids and Interfaces, 2022 - mdpi.com
Marangoni patterns are created by instabilities caused by thermocapillary and
solutocapillary stresses on the deformable free surface of a thin liquid layer. In the present …

[HTML][HTML] Pattern dynamics in a Gierer–Meinhardt model with a saturating term

Y Song, R Yang, G Sun - Applied Mathematical Modelling, 2017 - Elsevier
Gierer–Meinhardt system is a typical mathematical model to describe chemical and
biological phenomena. In this paper, the Gierer–Meinhardt model with a saturating term is …

Turing patterns induced by self-diffusion in a predator–prey model with schooling behavior in predator and prey

Y Zhou, XP Yan, CH Zhang - Nonlinear Dynamics, 2021 - Springer
This article considers a reaction–diffusion predator–prey model with schooling behavior
both in predator and prey species and subject to the homogeneous Neumann boundary …