STUDY OF A CONSERVATIVE ALGEBRAIC TRANSFORMATION SYMMETRIC WITH RESPECT TO AN INVOLUTION. PART I

Abstract

The purpose of this report is to study a simple area preserving transformation of the plane into itself, X = y + x2 squared, Y = -x + X2 squared, to obtain some specific information about periodic points and their stability, invariant curves, etc. It is the hope that such an investigation will lead to criteria for transitivity and other new results in this field. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1962
Accession Number
AD0292670

Entities

People

  • Rene De Vogelaere

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Linguistics