Noether’s theorem, time‐dependent invariants and nonlinear equations of motion

John R. Ray; James L. Reid

doi:10.1063/1.523971

Noether’s theorem, time‐dependent invariants and nonlinear equations of motion

Journal of Mathematical Physics ◽

10.1063/1.523971 ◽

1979 ◽

Vol 20 (10) ◽

pp. 2054-2057 ◽

Cited By ~ 78

Author(s):

John R. Ray ◽

James L. Reid

Keyword(s):

Nonlinear Equations ◽

Equations Of Motion ◽

Time Dependent ◽

Noether’S Theorem ◽

Noether's Theorem ◽

Nonlinear Equations Of Motion

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Noether’s theorem and Ermakov systems for nonlinear equations of motion

Il Nuovo Cimento A ◽

10.1007/bf02902329 ◽

1980 ◽

Vol 59 (2) ◽

pp. 134-140 ◽

Cited By ~ 18

Author(s):

J. R. Ray ◽

J. L. Reid

Keyword(s):

Nonlinear Equations ◽

Equations Of Motion ◽

Noether’S Theorem ◽

Noether's Theorem ◽

Nonlinear Equations Of Motion

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Nonlinear Equations of Motion in the Simulation of the Raptor 50 V2 Remote Controlled Helicopter With Optimal Controller Design

AIAA Modeling and Simulation Technologies Conference and Exhibit ◽

10.2514/6.2005-6421 ◽

2005 ◽

Cited By ~ 1

Author(s):

Mythri Pinnamaneni ◽

Michael Frye ◽

Chunjiang Qian ◽

Richard Colgren

Keyword(s):

Nonlinear Equations ◽

Controller Design ◽

Equations Of Motion ◽

Optimal Controller ◽

Nonlinear Equations Of Motion

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LINEAR TIME-DEPENDENT INVARIANTS FOR SCALAR FIELDS AND NOETHER’S THEOREM

Modern Physics Letters A ◽

10.1142/s0217732394001635 ◽

1994 ◽

Vol 09 (19) ◽

pp. 1785-1790 ◽

Cited By ~ 1

Author(s):

O. CASTAÑOS ◽

R. LÓPEZ-PEÑA ◽

V.I. MAN’KO

Keyword(s):

Scalar Field ◽

Infinite Number ◽

Linear Time ◽

Scalar Fields ◽

Time Dependent ◽

Noether’S Theorem ◽

Noether's Theorem

The infinite number of time-dependent linear in field and conjugated momenta invariants is derived for the scalar field using the Noether’s theorem procedure.

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Practical Integration of Semidiscretized Nonlinear Equations of Motion: Proper Convergence for Systems with Piecewise Linear Behavior

Journal of Engineering Mechanics ◽

10.1061/(asce)em.1943-7889.0000434 ◽

2013 ◽

Vol 139 (2) ◽

pp. 114-145 ◽

Cited By ~ 3

Author(s):

Aram Soroushian ◽

Peter Wriggers ◽

Jamshid Farjoodi

Keyword(s):

Nonlinear Equations ◽

Piecewise Linear ◽

Equations Of Motion ◽

Linear Behavior ◽

Nonlinear Equations Of Motion

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Automatic Construction of Nonlinear Equations of Motion for Systems with Many Degrees of Freedom

Gyrodynamics ◽

10.1007/978-3-642-80844-9_3 ◽

1974 ◽

pp. 10-22 ◽

Cited By ~ 4

Author(s):

J. Wittenburg

Keyword(s):

Nonlinear Equations ◽

Degrees Of Freedom ◽

Equations Of Motion ◽

Automatic Construction ◽

Nonlinear Equations Of Motion

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The construction of c-number fields and their nonlinear equations of motion for quantum many-body fermion systems

Physics Letters A ◽

10.1016/s0375-9601(98)00806-8 ◽

1998 ◽

Vol 250 (4-6) ◽

pp. 394-402 ◽

Cited By ~ 2

Author(s):

J.M. Dixon ◽

J.A. Tuszyński

Keyword(s):

Nonlinear Equations ◽

Equations Of Motion ◽

Number Fields ◽

Many Body ◽

Fermion Systems ◽

Nonlinear Equations Of Motion

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Construction of the Courant-Snyder invariants for the nonlinear equations of motion and criterion for the long-term stability of the beam in a storage ring

Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment ◽

10.1016/0168-9002(93)90251-c ◽

1993 ◽

Vol 335 (1-2) ◽

pp. 11-16 ◽

Cited By ~ 1

Author(s):

V. Garczynski

Keyword(s):

Nonlinear Equations ◽

Storage Ring ◽

Equations Of Motion ◽

Term Stability ◽

Long Term Stability ◽

Nonlinear Equations Of Motion

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The Nonlinear Equations of Motion of a Cylinder in Axial Flow☆☆“To view the full reference list for the book, click here”

Fluid-Structure Interactions ◽

10.1016/b978-0-12-397333-7.09983-6 ◽

2016 ◽

pp. 807-811

Keyword(s):

Nonlinear Equations ◽

Equations Of Motion ◽

Axial Flow ◽

Reference List ◽

Full Reference ◽

Nonlinear Equations Of Motion

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Nonlinear Equations of Motion for Arbitrary Systems of Interconnected Rigid Bodies

Dynamics of Multibody Systems ◽

10.1007/978-3-642-86461-2_29 ◽

1978 ◽

pp. 357-369 ◽

Cited By ~ 12

Author(s):

J. Wittenburg

Keyword(s):

Nonlinear Equations ◽

Equations Of Motion ◽

Rigid Bodies ◽

Nonlinear Equations Of Motion

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Newtonian Derivation of the Nonlinear Equations of Motion of a Pipe Conveying Fluid

Fluid-Structure Interactions ◽

10.1016/b978-0-12-397312-2.00021-1 ◽

2014 ◽

pp. 759-761

Author(s):

Michael P. Paidoussis

Keyword(s):

Nonlinear Equations ◽

Equations Of Motion ◽

Pipe Conveying Fluid ◽

Nonlinear Equations Of Motion ◽

Conveying Fluid

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