Growth of critical points in 1-dimensional lattice systems

Masayuki Asaoka; Tomohiro Fukaya; Kentaro Mitsui; Masaki Tsukamoto

doi:10.1007/s11854-015-0023-3

Growth of critical points in 1-dimensional lattice systems

Masayuki Asaoka, Tomohiro Fukaya, Kentaro Mitsui, Masaki Tsukamoto

SCI - Mathematics

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

1 Citation (Scopus)

Abstract

We study the growth of the number of critical points in 1-dimensional lattice systems by using (real) algebraic geometry and the theory of homoclinic tangency.

Original language	English
Pages (from-to)	47-68
Number of pages	22
Journal	Journal d'Analyse Mathematique
Volume	127
Issue number	1
DOIs	https://doi.org/10.1007/s11854-015-0023-3
Publication status	Published - 2015 Sep 1

ASJC Scopus subject areas

Analysis
Mathematics(all)

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10.1007/s11854-015-0023-3

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title = "Growth of critical points in 1-dimensional lattice systems",

abstract = "We study the growth of the number of critical points in 1-dimensional lattice systems by using (real) algebraic geometry and the theory of homoclinic tangency.",

author = "Masayuki Asaoka and Tomohiro Fukaya and Kentaro Mitsui and Masaki Tsukamoto",

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AU - Asaoka, Masayuki

AU - Fukaya, Tomohiro

AU - Mitsui, Kentaro

AU - Tsukamoto, Masaki

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Growth of critical points in 1-dimensional lattice systems

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