ANALYSIS OF CHAOTIC, AREA-PRESERVING MAPS

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概要

• 論文の詳細を見る

• Area-preserving maps have been extensively used as models of dynamical systems because they are computationally simple, yet they illustrate the range of behavior of dynamical systems described by differential equations. Many of these maps, like the standard map^1,have a nonlinearity parameter, ε. Where ε is small, the system is integrable, and orbits can be predicted with great accuracy for long periods. When ε is large, the integrals of the motion no longer exist, and orbit prediction, even with large computers, is difficult. Much work on the small-ε regime has been calculated with ε as the perturbation parameter. Here we discuss the large-ε, nearly totally stochastic system, for which 1/ε is the perturbation parameter.

• 核融合科学研究所の論文

著者

• Cary John

  Institute For Fusion Studies The University Of Texas At Austin

関連論文

• ANALYSIS OF CHAOTIC, AREA-PRESERVING MAPS
• RELATION OF LINEAR RESPONSE TO NONLINEAR MOTION
• Elimination of Stochasticity in Stellarators
• ANALYSIS OF CHAOTIC, AREA-PRESERVING MAPS
• RELATION OF LINEAR RESPONSE TO NONLINEAR MOTION

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