7 citations · 27 across the 10 of their papers we have counts for
10 papers
Coupled Hénon Map, Part II: Doubly and Singly Folded Horseshoes in Four Dimensions
Jizhou Li, Keisuke Fujioka, Akira Shudo
As a continuation of a previous paper (arXiv:2303.05769 [nlin.CD]), we introduce examples of Hénon-type mappings that exhibit new horseshoe topologies in three and four dimensional…
Coupled Hénon Map, Part I: Topological Horseshoes and Uniform Hyperbolicity
Keisuke Fujioka, Ryota Kogawa, Jizhou Li +1
We derive a sufficient condition for topological horseshoe and uniform hyperbolicity of a 4-dimensional symplectic map, which is introduced by coupling the two 2-dimensional Hénon…
Learning to Deblur using Light Field Generated and Real Defocus Images
Lingyan Ruan, Bin Chen, Jizhou Li +1
Defocus deblurring is a challenging task due to the spatially varying nature of defocus blur. While deep learning approach shows great promise in solving image restoration problems…
Homoclinic orbit expansion of arbitrary trajectories in chaotic systems: classical action function and its memory
Jizhou Li, Steven Tomsovic
Special subsets of orbits in chaotic systems, e.g. periodic orbits, heteroclinic orbits, closed orbits, can be considered as skeletons or scaffolds upon which the full dynamics of…
An asymptotic relationship between homoclinic points and periodic orbit stability exponents
Jizhou Li, Steven Tomsovic
The magnitudes of the terms in periodic orbit semiclassical trace formulas are determined by the orbits' stability exponents. In this paper, we demonstrate a simple asymptotic rela…
Exact decomposition of homoclinic orbit actions in chaotic systems: Information reduction
Jizhou Li, Steven Tomsovic
Homoclinic and heteroclinic orbits provide a skeleton of the full dynamics of a chaotic dynamical system and are the foundation of semiclassical sums for quantum wave packet, coher…
Exact relations between homoclinic and periodic orbit actions in chaotic systems
Jizhou Li, Steven Tomsovic
Homoclinic and unstable periodic orbits in chaotic systems play central roles in various semiclassical sum rules. The interferences between terms are governed by the action functio…
Geometric determination of heteroclinic and unstable periodic orbit classical actions
Jizhou Li, Steven Tomsovic
Semiclassical sum rules, such as the Gutzwiller trace formula, depend on the properties of periodic, closed, or homoclinic (heteroclinic) orbits. The interferences embedded in such…
Action differences between fixed points and accurate heteroclinic orbits
Jizhou Li, Steven Tomsovic
A general relation is derived for the action difference between two fixed points and a phase space area bounded by the irreducible component of a heteroclinic tangle. The determina…
Monomial Complete Intersections, The Weak Lefschetz Property and Plane Partitions
Jizhou Li, Fabrizio Zanello
We characterize the monomial complete intersections in three variables satisfying the Weak Lefschetz Property (WLP), as a function of the characteristic of the base field. Our resu…