On first integrals and integral invariants of higher-order nonholonomic systems

Haiping Zhu; Fengxiang Mei

On first integrals and integral invariants of higher-order nonholonomic systems

Haiping Zhu
, Fengxiang Mei

Beijing Institute of Technology

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

Abstract

Structures of the integral invariants of higher-order nonholonomic systems are studied and it is proved that the integral invariants can be obtained from known first integrals. Besides first order nonholonomic systems are discussed resulting in a form equivalent to the integral invariant formerly obtained.

Original language	English
Pages (from-to)	19-23
Number of pages	5
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	15
Issue number	1
Publication status	Published - 1995
Externally published	Yes

Keywords

Analytic dynamics/nonholonomic system
First integral
Integral invariant

Cite this

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title = "On first integrals and integral invariants of higher-order nonholonomic systems",

abstract = "Structures of the integral invariants of higher-order nonholonomic systems are studied and it is proved that the integral invariants can be obtained from known first integrals. Besides first order nonholonomic systems are discussed resulting in a form equivalent to the integral invariant formerly obtained.",

keywords = "Analytic dynamics/nonholonomic system, First integral, Integral invariant",

author = "Haiping Zhu and Fengxiang Mei",

year = "1995",

language = "English",

volume = "15",

pages = "19--23",

journal = "Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology",

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T1 - On first integrals and integral invariants of higher-order nonholonomic systems

AU - Zhu, Haiping

AU - Mei, Fengxiang

PY - 1995

Y1 - 1995

N2 - Structures of the integral invariants of higher-order nonholonomic systems are studied and it is proved that the integral invariants can be obtained from known first integrals. Besides first order nonholonomic systems are discussed resulting in a form equivalent to the integral invariant formerly obtained.

AB - Structures of the integral invariants of higher-order nonholonomic systems are studied and it is proved that the integral invariants can be obtained from known first integrals. Besides first order nonholonomic systems are discussed resulting in a form equivalent to the integral invariant formerly obtained.

KW - Analytic dynamics/nonholonomic system

KW - First integral

KW - Integral invariant

UR - https://www.scopus.com/pages/publications/71149102999

M3 - Article

AN - SCOPUS:71149102999

SN - 1001-0645

VL - 15

SP - 19

EP - 23

JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

IS - 1

ER -

On first integrals and integral invariants of higher-order nonholonomic systems

Abstract

Keywords

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