88 citations · 256 across the 7 of their papers we have counts for
7 papers
Dimensional collapse and fractal attractors of a system with fluctuating delay times
Jian Wang, Günter Radons, Hongliu Yang
A frequently encountered situation in the study of delay systems is that the length of the delay time changes with time, which is of relevance in many fields such as optics, mechan…
Geometry of inertial manifolds probed via a Lyapunov projection method
Hongliu Yang, Guenter Radons
A method for determining the dimension and state space geometry of inertial manifolds of dissipative extended dynamical systems is presented. It works by projecting vector differen…
Hyperbolic decoupling of tangent space and effective dimension of dissipative systems
Kazumasa A. Takeuchi, Hong-liu Yang, Francesco Ginelli +2
We show, using covariant Lyapunov vectors, that the tangent space of spatially-extended dissipative systems is split into two hyperbolically decoupled subspaces: one comprising a f…
Comparison of covariant and orthogonal Lyapunov vectors
Hong-liu Yang, Günter Radons
Two sets of vectors, covariant and orthogonal Lyapunov vectors (CLVs/OLVs), are currently used to characterize the linear stability of chaotic systems. A comparison is made to show…
Hyperbolicity and the effective dimension of spatially-extended dissipative systems
Hong-liu Yang, Kazumasa A. Takeuchi, Francesco Ginelli +2
We show, using covariant Lyapunov vectors, that the chaotic solutions of spatially extended dissipative systems evolve within a manifold spanned by a finite number of physical mode…
Static and Dynamic Correlations in Many-Particle Lyapunov Vectors
Günter Radons, Hongliu Yang
We introduce static and dynamic correlation functions for the spatial densities of Lyapunov vector fluctuations. They enable us to show, for the first time, the existence of hydrod…