Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
From KAM Theory to Aubry-Mather Theory
View through CrossRef
This chapter discusses an illustrative example, namely the properties of invariant probability measures and orbits on KAM tori (or more generally, on invariant Lagrangian graphs). This will prepare the ground for understanding the main ideas and techniques that will be developed in the following chapters, without several technicalities that might be confusing to a neophyte.
Title: From KAM Theory to Aubry-Mather Theory
Description:
This chapter discusses an illustrative example, namely the properties of invariant probability measures and orbits on KAM tori (or more generally, on invariant Lagrangian graphs).
This will prepare the ground for understanding the main ideas and techniques that will be developed in the following chapters, without several technicalities that might be confusing to a neophyte.
Related Results
The Hamilton-Jacobi Equation and Weak KAM Theory
The Hamilton-Jacobi Equation and Weak KAM Theory
This chapter describes another interesting approach to the study of invariant sets provided by the so-called weak KAM theory, developed by Albert Fathi. This approach can be consid...
Action-Minimizing Curves for Tonelli Lagrangians
Action-Minimizing Curves for Tonelli Lagrangians
This chapter discusses the notion of action-minimizing orbits. In particular, it defines the other two families of invariant sets, the so-called Aubry and Mañé sets. It explains th...
Action-Minimizing Invariant Measures for Tonelli Lagrangians
Action-Minimizing Invariant Measures for Tonelli Lagrangians
This chapter discusses the notion of action-minimizing measures, recalling the needed measure–theoretical material. In particular, this allows the definition of a first family of i...
Spiritual Meaning and Experimental Piety in the Exegesis of Cotton Mather and Jonathan Edwards
Spiritual Meaning and Experimental Piety in the Exegesis of Cotton Mather and Jonathan Edwards
Jan Stievermann and Ryan P. Hoselton consider the role of experiential piety in the exegesis of Cotton Mather and Jonathan Edwards. Both were deeply engaged in the new critical que...
The Devil’s Mousetrap
The Devil’s Mousetrap
Abstract
The Devil’s Mousetrap approaches the thought of three colonial New England divines--Increase Mather, Jonathan Edwards, and Edward Taylor--from the perspecti...
Realist Film Theory and Bicycle Thieves
Realist Film Theory and Bicycle Thieves
The Film Theory in Practice series fills a gaping hole in the world of film theory. By marrying the explanation of a film theory with the interpretation of a film, the volumes prov...
The Bloomsbury Handbook of Theory in Comparative and International Education
The Bloomsbury Handbook of Theory in Comparative and International Education
This handbook surveys the central theories in comparative and international education (CIE). Each chapter includes an overview of the theory including its history and development, ...
Critical International Theory
Critical International Theory
Whether inspired by the Frankfurt School or Antonio Gramsci, the impact of critical theory on the study of international relations has grown considerably since its advent in the ea...