Lie and morse theory for periodic orbits of vector fields and matrix riccati equations, I: General lie-theoretic methods-Reference-Cited by-同舟云学术

Lie and morse theory for periodic orbits of vector fields and matrix riccati equations, I: General lie-theoretic methods

Published:1981-12 Issue:1 Volume:15 Page:277-284
ISSN:0025-5661
Container-title:Mathematical Systems Theory
language:en
Short-container-title:Math. Systems Theory

Author:

Hermann Robert,Martin Clyde

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Mathematics,Theoretical Computer Science,Computational Theory and Mathematics,Theoretical Computer Science

Link

http://link.springer.com/content/pdf/10.1007/BF01786984.pdf

Reference12 articles.

1. R. Hermann,Differential Geometry and the Calculus of Variations, Interdisciplinary Mathematics, Vol. 17 (2d ed.). Math. Sci. Press, Brookline, Massachusetts.

2. R. Abraham and J. F. Marsden,Foundations of Mechanics (2d ed.) Benjamin/Cummings Publishing Co., Reading, MA, 1978.

3. J. C. Willems. Least squares stationary optimal control and the algebraic Riccati equation.IEEE Trans. Auto. Control AC-16, 621–634 (1971).

4. S. Smale. Morse inequalities for a dynamical system,Bull. AMS 66, 43–49 (1960).

5. R. Hermann. Geometric aspects of potential theory in symmetric spaces, I–III.Math. Ann. 148, 349–366. (1962); 151, 384–395 (1964).

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Partial differential systems with non-local nonlinearities: generation and solutions;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2018-03-05

2. Some Notes on the Grassmann Manifolds and Nonlinear System;Applied Mechanics and Materials;2013-10

3. Computing Stability of Multidimensional Traveling Waves;SIAM Journal on Applied Dynamical Systems;2009-01

4. On the Phase Portrait of the Fast Filtering Algorithms;ESAIM: Control, Optimisation and Calculus of Variations;1999

5. The Geometry of the Matrix Riccati Equation and Associated Eigenvalue Methods;The Riccati Equation;1991