Note on the Indices of the Discrete and Continuous Second Order Hamiltonian System

Gaosheng Zhu

doi:10.1007/s11464-021-0230-4

Note on the Indices of the Discrete and Continuous Second Order Hamiltonian System

Gaosheng Zhu^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology

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

Abstract

We establish the relation between Morse index and Maslov-type index of the discrete and continuous second order Hamiltonian system and obtain that mh,ω− keeps bounded for the discrete second order system as N → ∞, which is different from that of J. Robbin and D. Salamon for the first order system.

Original language	English
Pages (from-to)	1331-1348
Number of pages	18
Journal	Frontiers of Mathematics
Volume	18
Issue number	6
DOIs	https://doi.org/10.1007/s11464-021-0230-4
State	Published - Nov 2023
Externally published	Yes

Keywords

34C25
37M15
58E05
Maslov-type index
Morse index
discrete Hamiltonian system

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10.1007/s11464-021-0230-4

Cite this

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title = "Note on the Indices of the Discrete and Continuous Second Order Hamiltonian System",

abstract = "We establish the relation between Morse index and Maslov-type index of the discrete and continuous second order Hamiltonian system and obtain that mh,ω− keeps bounded for the discrete second order system as N → ∞, which is different from that of J. Robbin and D. Salamon for the first order system.",

keywords = "34C25, 37M15, 58E05, Maslov-type index, Morse index, discrete Hamiltonian system",

author = "Gaosheng Zhu",

note = "Publisher Copyright: {\textcopyright} 2023, Peking University.",

year = "2023",

month = nov,

doi = "10.1007/s11464-021-0230-4",

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AU - Zhu, Gaosheng

PY - 2023/11

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N2 - We establish the relation between Morse index and Maslov-type index of the discrete and continuous second order Hamiltonian system and obtain that mh,ω− keeps bounded for the discrete second order system as N → ∞, which is different from that of J. Robbin and D. Salamon for the first order system.

AB - We establish the relation between Morse index and Maslov-type index of the discrete and continuous second order Hamiltonian system and obtain that mh,ω− keeps bounded for the discrete second order system as N → ∞, which is different from that of J. Robbin and D. Salamon for the first order system.

KW - 34C25

KW - 37M15

KW - 58E05

KW - Maslov-type index

KW - Morse index

KW - discrete Hamiltonian system

UR - https://www.scopus.com/pages/publications/85178432946

U2 - 10.1007/s11464-021-0230-4

DO - 10.1007/s11464-021-0230-4

M3 - 文章

AN - SCOPUS:85178432946

SN - 2731-8648

VL - 18

SP - 1331

EP - 1348

JO - Frontiers of Mathematics

JF - Frontiers of Mathematics

IS - 6

ER -

Note on the Indices of the Discrete and Continuous Second Order Hamiltonian System

Abstract

Keywords

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