Integrating Algorithms for Integrable Affine Constraints

• KAI Tatsuya

  Kyushu University

Abstract

This letter presents integrating algorithms for affine constraints defined on a manifold. We first explain definition and geometric representation of affine constraints. Next, we derive integrating algorithms to calculate independent first integrals of affine constraints for the two cases where the they are completely integrable and partially nonintegrable. Moreover, we prove the existence of inverse functions in the algorithms. Some examples are also shown to verify our results.

Journal

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E94-A (1), 464-467, 2011

  The Institute of Electronics, Information and Communication Engineers

Keywords

• integrable affine constraints
• geometric representation
• integrating algorithm
• independent first integral

Details

• CRID: 1390282681287744256
• NII Article ID: 10027987348
• NII Book ID: AA10826239
• DOI: 10.1587/transfun.e94.a.464
• ISSN: 17451337
• ISSN: 09168508
• Web Site: http://www.jstage.jst.go.jp/article/transfun/E94.A/1/E94.A_1_464/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed