29 citations · 142 across the 17 of their papers we have counts for
17 papers
An algorithm to find the spectral radius of nonnegative tensors and its convergence analysis
Yuning Yang, Qingzhi Yang, Yanguang Li
In this paper we propose an iterative algorithm to find out the spectral radius of nonnegative tensors. This algorithm is an extension of the smoothing method for finding the large…
Homoclinic Tubes and Chaos in Perturbed Sine-Gordon Equation
Yanguang Charles Li
In an early work, Bernoulli shift dynamics of submanifolds was established in a neighborhood of a homoclinic tube. In this article, we will present a concrete example: sine-Gordon…
Chaos and Shadowing Around a Homoclinic Tube
Yanguang Charles Li
Let be a diffeomorphism on a Banach space . has a homoclinic tube asymptotic to an invariant manifold. Around the homoclinic tube, Bernoulli shift dynamics of subm…
Chaos in PDEs and Lax Pairs of Euler Equations
Yanguang Charles Li
Recently, the author and collaborators have developed a systematic program for proving the existence of homoclinic orbits in partial differential equations. Two typical forms of ho…
Global Regularity for the Viscous Boussinesq Equations
Yanguang Charles Li
The global regularity for the viscous Boussinesq equations is proved.
Existence of Chaos in Evolution Equations
Yanguang Charles Li
For a general evolution equation with a Silnikov homoclinic orbit, Smale horseshoes are constructed.