Construction of the solutions of linear hyperbolic systems using laguerre geometric-optic expansions

1998 ◽  
Vol 90 (2) ◽  
pp. 1936-1940
Author(s):  
A. N. Gorechko
Keyword(s):  
Hyperbolic Systems ◽  
Geometric Optic

THE GLOBAL SMOOTH SOLUTION FOR HIGH-DIMENSIONAL HYPERBOLIC SYSTEMS

1994 ◽  
Vol 14 (3) ◽  
pp. 241-251 ◽  
Author(s):  
Zhiming Hu ◽  
Tong Zhang
Keyword(s):  
Smooth Solution ◽  
Hyperbolic Systems ◽  
High Dimensional ◽  
Global Smooth Solution

Control of Pseudo-Hyperbolic Systems by Concentrated Impacts

2000 ◽  
Vol 32 (12) ◽  
pp. 23-36 ◽  
Author(s):  
Sergey I. Lyashko ◽  
Vladimir V. Semenov ◽  
Ivan I. Lyashko
Keyword(s):  
Hyperbolic Systems

Adaptive control of hyperbolic systems: A CLF approach

2007 ◽  
Author(s):  
J. M. Igreja ◽  
Joao M. Lemos ◽  
R. N. Silva
Keyword(s):  
Adaptive Control ◽  
Hyperbolic Systems

scholarly journals Diffeomorphism cocycles over partially hyperbolic systems

2020 ◽  
pp. 1-24
Author(s):  
VICTORIA SADOVSKAYA
Keyword(s):  
Hyperbolic System ◽  
Compact Manifold ◽  
Hyperbolic Systems ◽  
Riemannian Metrics ◽  
Hölder Continuous ◽  
Group Of Diffeomorphisms ◽  
Small Loss ◽  
Partially Hyperbolic ◽  
Loss Of Regularity

Abstract We consider Hölder continuous cocycles over an accessible partially hyperbolic system with values in the group of diffeomorphisms of a compact manifold $\mathcal {M}$ . We obtain several results for this setting. If a cocycle is bounded in $C^{1+\gamma }$ , we show that it has a continuous invariant family of $\gamma $ -Hölder Riemannian metrics on $\mathcal {M}$ . We establish continuity of a measurable conjugacy between two cocycles assuming bunching or existence of holonomies for both and pre-compactness in $C^0$ for one of them. We give conditions for existence of a continuous conjugacy between two cocycles in terms of their cycle weights. We also study the relation between the conjugacy and holonomies of the cocycles. Our results give arbitrarily small loss of regularity of the conjugacy along the fiber compared to that of the holonomies and of the cocycle.

Split generalized-α method: A linear-cost solver for multi-dimensional second-order hyperbolic systems

2021 ◽  
Vol 376 ◽  
pp. 113656
Author(s):  
Pouria Behnoudfar ◽  
Quanling Deng ◽  
Victor M. Calo
Keyword(s):  
Hyperbolic Systems ◽  
Second Order ◽  
Linear Cost

scholarly journals Cauchy problems for semi-linear hyperbolic systems with their applications

2011 ◽  
Vol 9 (1) ◽  
Author(s):  
E.E Ndiyo ◽  
E Ukeje
Keyword(s):  
Hyperbolic Systems ◽  
Cauchy Problems

Unstable Topological Entropy in Mean u-Metrics for Partially Hyperbolic Systems

2021 ◽  
pp. 1-18
Author(s):  
Ping Huang ◽  
Chenwei Wang ◽  
Ercai Chen
Keyword(s):  
Topological Entropy ◽  
Hyperbolic Systems ◽  
Partially Hyperbolic

scholarly journals Stabilization of Stochastic Fluctuations in Hyperbolic Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 7223-7227
Author(s):  
Stephan Gerster
Keyword(s):  
Hyperbolic Systems ◽  
Stochastic Fluctuations
Sign in / Sign up

Export Citation Format

Share Document