The Riccati Equation: Pinching of Forcing and Solutions

DOI10.1080/10586458.2003.10504488zbMath1059.34004OpenAlexW2097072965MaRDI QIDQ4811527

Marlies Gerber, Boris Hasselblatt, Daniel Keesing

Publication date: 6 September 2004

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1067634727

zbMATH Keywords

controlfilteringRiccati equationfoliations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Control problems involving ordinary differential equations (34H05) Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

Uniformization of the density in reacting magnetohydrodynamic flows ⋮ Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients ⋮ Phase portraits for some symmetric Riccati cubic polynomial differential equations ⋮ An efficient approach for solving the Riccati equation with fractional orders ⋮ On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative ⋮ Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method ⋮ Turing conditions for pattern forming systems on evolving manifolds ⋮ Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order ⋮ An algorithm for the approximate solution of the fractional Riccati differential equation ⋮ Approximate solution for solving fractional Riccati differential equations via trigonometric basic functions

Cites Work

• The Riccati equation
• Smoothness of horocycle foliations
• Horospheric foliations and relative pinching
• Regular variation and differential equations
• Prevalence of non-Lipschitz Anosov foliations
• Regularity of the Anosov splitting and of horospheric foliations
• SOME SMOOTH ERGODIC SYSTEMS
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