Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations, II

DOI10.1007/BF01744584zbMath0527.58033OpenAlexW2010708089MaRDI QIDQ3042052

Robert Hermann, Clyde F. Martin

Publication date: 1983

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01744584

zbMATH Keywords

Grassmann manifoldRiccati equation

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

The geometry of matrix eigenvalue methods ⋮ On equations of motion on compact Hermitian symmetric spaces ⋮ Global observability of flows on the torus: An application of number theory ⋮ Finite escape time for Riccati differential equations ⋮ Grassmannian spectral shooting ⋮ On the periodic solutions of the Matrix Riccati equation ⋮ Algebraic Riccati equation and symplectic algebra ⋮ On the Phase Portrait of the Fast Filtering Algorithms ⋮ Positive invariance and asymptotic stability of solutions to certain riccati equations ⋮ Time-asymptotic dynamics of Hermitian Riccati differential equations ⋮ Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization ⋮ Invariant manifolds and projective combinations of solutions of the Riccati differential equation

Cites Work

• Finite escape time for Riccati differential equations
• Periodic oscillations of matrix Riccatti equations in time-invariant systems
• Lie and morse theory for periodic orbits of vector fields and matrix riccati equations, I: General lie-theoretic methods
• ON THE CONJUGACY OF REAL CARTAN SUBALGEBRAS. I
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