A construction of patterns with many critical points on topological tori

Putri Zahra Kamalia; Shigeru Sakaguchi

doi:10.1007/s00030-020-00643-x

A construction of patterns with many critical points on topological tori

Putri Zahra Kamalia, Shigeru Sakaguchi

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We consider reaction–diffusion equations on closed surfaces in R³ having genus 1. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.

Original language	English
Article number	39
Journal	Nonlinear Differential Equations and Applications
Volume	27
Issue number	4
DOIs	https://doi.org/10.1007/s00030-020-00643-x
Publication status	Published - 2020 Aug 1

Keywords

Closed surface having genus 1
Critical point
Pattern
Reaction–diffusion equation
Semilinear elliptic equation
Stable solution
Torus

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "A construction of patterns with many critical points on topological tori",

abstract = "We consider reaction–diffusion equations on closed surfaces in R3 having genus 1. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.",

keywords = "Closed surface having genus 1, Critical point, Pattern, Reaction–diffusion equation, Semilinear elliptic equation, Stable solution, Torus",

author = "Kamalia, {Putri Zahra} and Shigeru Sakaguchi",

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KW - Semilinear elliptic equation

KW - Stable solution

KW - Torus

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