現主要研究方向：
(1) 非線性動力學。
(2) 動力系統的分岔與混沌。
目前主持的科研項目有：
國家自然科學基金青年基金項目：具有雙側碰撞約束的多自由度碰撞振動系統的對稱性、動力學行為與控制（批准號：10902092；執行期間：2010.1-2012.12）
代表性論文：
[1] Yue, Y. The dynamics of a symmetric impact oscillator between two rigid stops. Nonlinear Analysis: Real World Applications.2011(12): 741-750.
[2] Yuan Yue., Jianhua Xie. Determining Lyapunov spectrum and Lyapunov dimension based on the Poincaré map in a vibro-impact system. Nonlinear Dynamics. Available on line. Doi: 10.1007/s11071-011-0301-2.
[3] Yuan Yue., Jianhua Xie. Lyapunov exponents and coexistense of attractors in vibro-impact systems with symmetric two-sided constraints. Physics Letters A. 2009, 373: 2041-2046.
[4] Yuan Yue., Jianhua Xie. Symmetry of the Poincaré map and its influence on bifurcations in a vibro-impact system. Journal of Sound and Vibration. 2009, 323: 292-312.
[5] Yuan Yue., Jianhua Xie. Symmetry and bifurcations of a two-degree-of-freedom vibro-impact system. Journal of Sound and Vibration. 2008, 314: 228-245.
[6] Yuan Yue., Jianhua Xie. Symmetry, cusp bifurcation and chaos of an impact oscillator between two rigid sides. Applied Mathematics and Mechanics. 2007, 8:1109-1117.
[7] Yuan Yue., Jianhua Xie. Symmetry breaking and symmetry increasing in a vibro-impact with symmetric two-sided constraints. Applied Mechanics and Materials. 2011, 66-68:229-234.
[8] 樂源, 謝建華. 兩自由度碰撞振動系統的Poincaré映射的對稱性與分岔. 振動工程學報，2008，21（4）：376-380.
[9] 樂源, 謝建華.一類三自由度碰撞振動系統的Poincaré映射的對稱性、分岔與混沌. 四川大學學報（工程科學版），2008, 40(1): 27-31.
[10] Yuan Yue., Jianhua Xie. Symmetry of attractors and routes to chaos in a vibro-impact system with two-sided constraints. The proceedings of the third international conference on dynamics, vibration and control. 2010. 5.12-14, Hangzhou, China.
[11] 樂源, 謝建華. 一類對稱三自由度碰撞振動系統的Neimark-Sacker-pitchfork與Lyapunov指數. 中國力學大會-2011暨錢學森誕辰100周年紀念大會. 2011.8.22-24, 哈爾濱.
[12] 樂源, 謝建華. 基於Poincaré映射確定碰撞振動系統的Lyapunov指數以及Lyapunov維數. 第五屆全國動力學與控制青年學者學術研討會. 2011.7.28-30. 青島.
