scholarly journals Corrigendum to “On the modified least action principle with damping” [Eur. J. Mech. B Fluids 89 (2021) 301-311]

2022 ◽  
Vol 91 ◽  
pp. 9
Author(s):  
Fitzgerald, K. ◽  
Massoudi, M. ◽  
Vaidya, A.
Keyword(s):  
Action Principle ◽  
Least Action Principle ◽  
Least Action

scholarly journals A least action principle for interceptive walking

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Soon Ho Kim ◽  
Jong Won Kim ◽  
Hyun Chae Chung ◽  
MooYoung Choi
Keyword(s):  
Social Systems ◽  
Equations Of Motion ◽  
Classical Mechanics ◽  
Action Principle ◽  
Lagrange Equations ◽  
Least Action Principle ◽  
Least Action ◽  
The Least Action Principle ◽  
Principle Of Least Action ◽  
Human Participants

AbstractThe principle of least effort has been widely used to explain phenomena related to human behavior ranging from topics in language to those in social systems. It has precedence in the principle of least action from the Lagrangian formulation of classical mechanics. In this study, we present a model for interceptive human walking based on the least action principle. Taking inspiration from Lagrangian mechanics, a Lagrangian is defined as effort minus security, with two different specific mathematical forms. The resulting Euler–Lagrange equations are then solved to obtain the equations of motion. The model is validated using experimental data from a virtual reality crossing simulation with human participants. We thus conclude that the least action principle provides a useful tool in the study of interceptive walking.

scholarly journals Phase reconstruction by the weighted least action principle

2006 ◽  
Vol 8 (3) ◽  
pp. 279-289 ◽  
Author(s):  
Chungmin Lee ◽  
John Lowengrub ◽  
Jacob Rubinstein ◽  
Xiaoming Zheng
Keyword(s):  
Action Principle ◽  
Phase Reconstruction ◽  
Least Action Principle ◽  
Least Action

An Observation on Least Action Principle in Classical Mechanics Oriented on the Evaluation of Relativistic Error Concerning the Measurements of Light Propagating in a Liquid

2011 ◽  
Vol 1 (3) ◽  
pp. 14-24 ◽  
Author(s):  
Alessandro Massaro ◽  
Piero Adriano Massaro
Keyword(s):  
Euler Equations ◽  
Classical Mechanics ◽  
First Integrals ◽  
Action Principle ◽  
Classical Approach ◽  
Limit Case ◽  
Least Action Principle ◽  
Calculus Of Variation ◽  
Least Action ◽  
Approximate First Integrals

The authors prove that the standard least action principle implies a more general form of the same principle by which they can state generalized motion equation including the classical Euler equation as a particular case. This form is based on an observation regarding the last action principle about the limit case in the classical approach using symmetry violations. Furthermore the well known first integrals of the classical Euler equations become only approximate first integrals. The authors also prove a generalization of the fundamental lemma of the calculus of variation and we consider the application in electromagnetism.

scholarly journals Ray mappings and the weighted least action principle

2018 ◽  
Vol 8 (1) ◽  
Author(s):  
Jacob Rubinstein ◽  
Gershon Wolansky ◽  
Yifat Weinberg
Keyword(s):  
Action Principle ◽  
Least Action Principle ◽  
Least Action

scholarly journals Predicting the peculiar velocities of nearby PSCz galaxies using the Least Action Principle

2001 ◽  
Vol 322 (1) ◽  
pp. 121-130 ◽  
Author(s):  
J. Sharpe ◽  
M. Rowan-Robinson ◽  
A. Canavezes ◽  
W. Saunders ◽  
E. Branchini ◽  
...  
Keyword(s):  
Action Principle ◽  
Least Action Principle ◽  
Least Action ◽  
Peculiar Velocities ◽  
The Least Action Principle
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