Xiao-Biao Lin

Geng, F., Lin, X.-B., & Liu, X. (2019). Chaotic Traveling Wave Solutions in Coupled Chua's Circuits. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 31(3), 1373–1396. https://doi.org/10.1007/s10884-017-9631-1

Lin, X. B., & Zhu, C. R. (2017). Codiagonalization of matrices and existence of multiple homoclinic solutions. Journal of Applied Analysis and Computation, 7(1), 172–188.

Lin, X.-B., & Zhu, C. (2017). SADDLE-NODE BIFURCATIONS OF MULTIPLE HOMOCLINIC SOLUTIONS IN ODES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 22(4), 1435–1460. https://doi.org/10.3934/dcdsb.2017069

Lin, X.-B., & Schecter, S. (2016). Stability of Concatenated Traveling Waves. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 28(3-4), 867–896. https://doi.org/10.1007/s10884-015-9428-z

Lin, X.-B., Long, B., & Zhu, C. (2015). Multiple transverse homoclinic solutions near a degenerate homoclinic orbit. JOURNAL OF DIFFERENTIAL EQUATIONS, 259(1), 1–24. https://doi.org/10.1016/j.jde.2015.01.046

Lin, X.-B., Long, B., & Zhu, C. (2015, December 5). Multiple transverse homoclinic solutions near a degenerate homoclinic orbit (vol 259, pg 1, 2015). JOURNAL OF DIFFERENTIAL EQUATIONS, Vol. 259, pp. 6885–6886. https://doi.org/10.1016/j.jde.2015.07.032

Lin, X.-B., & Schecter, S. (2015). Stability of concatenated traveling waves: Alternate approaches. JOURNAL OF DIFFERENTIAL EQUATIONS, 259(7), 3144–3177. https://doi.org/10.1016/j.jde.2015.04.015

Lin, X., & Wechselberger, M. (2014). TRANSONIC EVAPORATION WAVES IN A SPHERICALLY SYMMETRIC NOZZLE. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 46(2), 1472–1504. https://doi.org/10.1137/120875363

Lin, X.-B. (2013). Stability of standing waves for monostable reaction-convection equations in a large bounded domain with boundary conditions. JOURNAL OF DIFFERENTIAL EQUATIONS, 255(1), 58–84. https://doi.org/10.1016/j.jde.2013.03.010

Chow, S. N., Jiang, M., & Lin, X. B. (2013). Traveling wave solutions in coupled Chua's circuits, part I: Periodic solutions. Journal of Applied Analysis and Computation, 3(3), 213–237.

Fan, H., & Lin, X.-B. (2012). STANDING WAVES FOR PHASE TRANSITIONS IN A SPHERICALLY SYMMETRIC NOZZLE. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 44(1), 405–436. https://doi.org/10.1137/11082213x

Lin, X., Weng, P., & Wu, C. (2011). Traveling Wave Solutions for a Predator-Prey System With Sigmoidal Response Function. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 23(4), 903–921. https://doi.org/10.1007/s10884-011-9220-7

Fan, H., & Lin, X.-B. (2010). Collapsing and Explosion Waves in Phase Transitions with Metastability, Existence, Stability and Related Riemann Problems. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 22(2), 163–191. https://doi.org/10.1007/s10884-009-9150-9

Lin, X.-B. (2009). Algebraic dichotomies with an application to the stability of Riemann solutions of conservation laws. JOURNAL OF DIFFERENTIAL EQUATIONS, 247(11), 2924–2965. https://doi.org/10.1016/j.jde.2009.07.002

Lin, X.-B. (2007). Gearhart-Pruss theorem and linear stability for riemann solutions of conservation laws. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 19(4), 1037–1074. https://doi.org/10.1007/s10884-007-9098-6

Lai, M. C., Li, Z. L., & Lin, X. B. (2006). Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 191(1), 106–125. https://doi.org/10.1016/j.cam.2005.04.025

Lin, X.-B. (2006). Slow eigenvalues of self-similar solutions of the Dafermos regularization of a system of conservation laws: An analytic approach. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 18(1), 1–52. https://doi.org/10.1007/s10884-005-9001-2

Lin, X. B. (2005). L-2 semigroup and linear stability for Riemann solutions of conservation laws. Dynamics of Partial Differential Equations, 2(4), 301–333. https://doi.org/10.4310/dpde.2005.v2.n4.a2

Lin, X. B., & Schecter, S. (2003). Stability of self-similar solutions of the Dafermos regularization of a system of conservation laws. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 35(4), 884–921. https://doi.org/10.1137/S0036141002405029

Lin, X. B., & Vivancos, I. B. (2002). Heteroclinic and periodic cycles in a perturbed convection model. JOURNAL OF DIFFERENTIAL EQUATIONS, 182(1), 219–265. https://doi.org/10.1006/jdeq.2001.4090

Lin, X. B. (2001). Construction and asymptotic stability of structurally stable internal layer solutions. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 353(8), 2983–3043. https://doi.org/10.1090/S0002-9947-01-02769-6

Lin, X. B. (2000). Generalized Rankine-Hugoniot condition and shock solutions for quasilinear hyperbolic systems. JOURNAL OF DIFFERENTIAL EQUATIONS, 168(2), 321–354. https://doi.org/10.1006/jdeq.2000.3889

Hale, J. K., & Lin, X. B. (1999). Multiple internal layer solutions generated by spatially oscillatory perturbations. JOURNAL OF DIFFERENTIAL EQUATIONS, 154(2), 364–418. https://doi.org/10.1006/jdeq.1998.3566