Xiaobiao Lin

发表

Using Melnikov's method to solve Silnikov's problems

Xiao-Biao Lin, Xiaobiao Lin, 1990, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Homoclinic Bifurcations with Weakly Expanding Center Manifolds

Xiao-Biao Lin, Xiaobiao Lin, 1996 .

Construction and asymptotic stability of structurally stable internal layer solutions

Xiao-Biao Lin, Xiaobiao Lin, 2001 .

Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain

Zhilin Li, M. Lai, Xiaobiao Lin, 2006 .

Generalized Rankine–Hugoniot Condition and Shock Solutions for Quasilinear Hyperbolic Systems

Xiaobiao Lin, 2000 .

Heteroclinic bifurcation and singularly perturbed boundary value problems

Xiao-Biao Lin, Xiaobiao Lin, 1990 .

TRAVELING WAVE SOLUTIONS IN COUPLED CHUA’S CIRCUITS, PART II: CHAOTIC SOLUTIONS

Xiaobiao Lin, 2015 .

Multiple Internal Layer Solutions Generated by Spatially Oscillatory Perturbations

Jack K. Hale, Xiao-Biao Lin, J. Hale, 1999 .

Chaotic Traveling Wave Solutions in Coupled Chua’s Circuits

Xiaobiao Lin, Fengjie Geng, Xingbo Liu, 2019 .

Stability of Concatenated Traveling Waves

S. Schecter, Xiaobiao Lin, 2016 .

Algebraic dichotomies with an application to the stability of Riemann solutions of conservation laws

Xiaobiao Lin, 2009 .

Gearhart–Prüss Theorem and Linear Stability for Riemann Solutions of Conservation Laws

Xiaobiao Lin, 2007 .

Slow Eigenvalues of Self-similar Solutions of the Dafermos Regularization of a System of Conservation Laws: an Analytic Approach

Xiaobiao Lin, 2006 .

L² semigroup and linear stability for Riemann solutions of conservation laws

Xiaobiao Lin, 2005 .

Analytic semigroup generated by the linearization of a Riemann-Dafermos solution

Xiaobiao Lin, 2004 .

Heteroclinic and Periodic Cycles in a Perturbed Convection Model

Xiaobiao Lin, I. B. Vivancos, 2002 .

Collapsing and Explosion Waves in Phase Transitions with Metastability, Existence, Stability and Related Riemann Problems

Haitao Fan, Xiao-Biao Lin, Haitao Fan, 2010 .

Shadowing lemma and singularly perturbed boundary value problems

Xiaobiao Lin, 1989 .

Local and Global Existence of Multiple Waves Near Formal Approximations

Xiaobiao Lin, 1996, patt-sol/9601003.

A Proof to the Riemann Hypothesis Using a Simplified Xi-Function

Xiaobiao Lin, 2021, 2108.02851.

Smooth Invariant Foliations in Infinite Dimensional Spaces

Shui-Nee Chow, Kening Lu, Xiao-Biao Lin, 1991 .

Twisted and nontwisted bifurcations induced by diffusion

Xiaobiao Lin, 1996, patt-sol/9604004.

Chaotic Traveling Wave Solutions in Coupled Chua’s Circuits

Xiaobiao Lin, Fengjie Geng, Xingbo Liu, 2017, Journal of Dynamics and Differential Equations.

A Proof to the Riemann Hypothesis Using a Simplified Xi-Function

Xiaobiao Lin, 2021, 2108.02851.

TRAVELLING WAVE SOLUTIONS FOR THE PAINLEV ´ E-INTEGRABLE COUPLED KDV EQUATIONS

Jibin Li, Xiaobiao Lin, 2008 .

Transonic Evaporation Waves in a Spherically Symmetric Nozzle

Martin Wechselberger, Xiaobiao Lin, M. Wechselberger, 2014, SIAM J. Math. Anal..

TRAVELING WAVE SOLUTIONS IN COUPLED CHUA'S CIRCUITS, PART I: PERIODIC SOLUTIONS

S. Chow, Xiaobiao Lin, Ming Jiang, 2013 .

Transition layers for singularly perturbed delay differential equations with monotone nonlinearities

Shui-Nee Chow, John Mallet-Paret, Xiao-Biao Lin, 1989 .

A Dynamical Systems Approach to Traveling Wave Solutions for Liquid/Vapor Phase Transition

Haitao Fan, Xiao-Biao Lin, Haitao Fan, 2012 .

Saddle-node bifurcations of multiple homoclinic solutions in ODES

C. Zhu, Xiaobiao Lin, 2017 .

Multiple transverse homoclinic solutions near a degenerate homoclinic orbit

C. Zhu, Xiaobiao Lin, Bin Long, 2015 .

Codiagonalization of Matrices and Existence of Multiple Homoclinic Solutions

C. Zhu, Xiaobiao Lin, 2017 .

Another brief proof of the Sylvester theorem

Xiao-Biao Lin, Xiaobiao Lin, 1988 .

Shadowing Matching Errors for Wave-Front-Like Solutions☆

Xiaobiao Lin, 1996, patt-sol/9604001.

Asymptotic Expansion for Layer Solutions of a Singularly Perturbed Reaction-Diffusion System

Xiaobiao Lin, 1994, patt-sol/9403002.

Stability of Self-Similar Solutions of the Dafermos Regularization of a System of Conservation Laws

Stephen Schecter, Xiao-Biao Lin, S. Schecter, 2003, SIAM J. Math. Anal..

Traveling Wave Solutions for a Predator–Prey System With Sigmoidal Response Function

Peixuan Weng, Chufen Wu, Xiaobiao Lin, 2011, 1105.3913.

Heteroclinic and Periodic Cycles in a Perturbed Convection Model

Xiaobiao Lin, I. B. Vivancos, 2002 .

Stability of standing waves for monostable reaction–convection equations in a large bounded domain with boundary conditions

Xiao-Biao Lin, Xiaobiao Lin, 2013 .

Existence theory for damped gravity waves in a closed rectangular basin

Xiaobiao Lin, 1991 .

Stability of Concatenated Traveling Waves

S. Schecter, Xiaobiao Lin, 2015, Journal of Dynamics and Differential Equations.

A shadowing lemma with applications to semilinear parabolic equations

Shui-Nee Chow, Kenneth J. Palmer, Xiao-Biao Lin, 1989 .

A numerical scheme for axisymmetric elastic waves in solids

Josef Ballmann, Xiaobiao Lin, J. Ballmann, 1995 .