欧阳茹荃,朱继懋.船舶非线性横摇运动与混沌[J].中国造船,1999,40(1):21-28.Ouyang Ruquan,Zhu Jimao.Nonlinear oscillations and chaos of ship rolling motion[J].Ship Building of China,1999,40(1):21-28.(in Chinese)

丁勇,胡开业,邱敏芝.船舶非线性横摇运动分析的Lyapunov特性指数法[J].中国造船,2008,49(3):1-6.Ding Yong,Hu Kaiye,Qiu Minzhi.The method of Lyapunov characteristic exponents for analyzing the stability ofship’s nonlinear rolling motion[J].Ship Building of China,2008,49(3):1-6.(in Chinese)

袁远,余音,金咸定.船舶在规则横浪中的奇异倾覆[J].上海交通大学学报,2003,37(7):995-998.Yuan Yuan,Yu Yin,Jin Xianding.Undesirable ship capsizal in regular beam sea[J].Journal of Shanghai JiaotongUniversity,2003,37(7):995-998.(in Chinese)

Taylan M.The effect of nonlinear damping and restoring in ship rolling[J].Ocean Engineering,2000,27:921-932.

Nayfeh A H,Khdeir A A.Nonlinear rolling of ships in regular beam seas[J].International Shipbuilding Progress,1986,33(379):40-49.

Wolf A,Swift J,Swinney H,et al.Determining Lyapunov exponents from a time series[J].Physica D,1985,16(9):302-310.

Geist K,Parlit Z U,Lauterborn W.Comparison of different methods for computing Lyapunov exponents[J].Progress of Theoretical Physics,1990,83(5):875-893.

Udwadia F E,Bremen HF.An efficient and stable approach for computation of Lyapunov characteristic exponents ofcontinuous dynamical systems[J].Applied Mathematics and Computation,2001,121:219-259.

郑兆毖,张军,汪秉宏.最大Lyapunov指数计算的几种方法[J].地震,1994(4):86-92.Zheng Zhaobi,Zhang Jun,Wang Binghong.Several calculation methods of maximum Lyapunov exponent[J].Earthquake,1994(4):86-92.(in Chinese)

何岱海,徐健学,陈永红.常微分方程系统李雅普诺夫特性指数的研究[J].物理学报,2000,49(5):833-837.He Daihai,Xu Jianxue,Chen Yonghong.Study on Lyapunov characteristic exponents of a nonlinear differentialequation system[J].Acta Physica Sinica,2000,49(5):833-837.(in Chinese)

郁俊莉,王其文.Lyapunov指数混沌特性判定研究[J].武汉理工大学学报,2004,26(2):90-92.Yu Junli,Wang Qiwen.Research of Judging the chaotic characteristics with the Lyapunov exponents[J].Journal ofWuhan University of Technology,2004,26(2):90-92.(in Chinese)

Christiansen F,Rugh H H.Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization[J].Nonlinearity,1997,10(5):1063-1072.

Habib S,Ryne R D.Symplectic calculation of Lyapunov exponents[J].Physical Review Letters,1995:74(1):70-73.

Rangarajan G,Habib S,Ryne R D.Lyapunov exponents without rescaling and reorthogonalization[J].PhysicalReview Letters,1998,80(17):3747-3750.

Zeng X,Eykholt R,Pielke R A.Estimating the Lyapunov-exponent spectrum from short time series of lowprecision[J].Physical Review Letters,1991,66(25):3229-3242.

Aurell E,Boffetta G,Crisanti A,et al.A vulpiani predictability in the large:an extension of the concept ofLyapunov Exponent[J].J.Phys.A:Math.Gen.,1997,30(1):1-26.

Ginelli F,Poggi P,Turchi A,et al.Characterizing dynamics with covariant Lyapunov vectors[J].Physical ReviewLetters,2007,99(13):130601-130609.

刘延柱,陈立群.非线性振动[M].北京:高等教育出版社,2001:266-270.

马新谋,潘玉田,马昀.两栖作战武器线性横摇运动动力学分析[J].火炮发射与控制学报,2008(2):85-88.Ma Xinmou,Pan Yutian,Ma Yun.Linear roll motion dynamics analysis of amphibious combat weapon[J].Journalof Gun Launch&Control,2008(2):85-88.(in Chinese)

徐国英,周景涛,姚新民,等.两栖车辆在波浪中的摇荡问题研究[J].兵工学报,2005,26(4):433-437.Xu Guoying,Zhou Jingtao,Yao Xinmin,et al.Toss motion of amphibious vehicle in sea-way[J].ActaArmamentarii,2005,26(4):433-437.(in Chinese)

李远林,伍晓榕.非线性横摇阻尼的试验确定-数据处理方法[J].华南理工大学学报(自然科学版),2002,30(2):79-82.Li Yuanlin,Wu Xiaorong.Experimental determination of nonlinear roll damping:a technique for data processing[J].Journal of South China University of Technology(Natural Science Edition),2002,30(2):79-82.(in Chi-nese)

Roberts J B.Estimation of nonlinear ship roll damping from free-decay data[J].Journal of Ship Research,1985,29(2):127-138.

Chakrabarti S.Empirical calculation of roll damping for ships and barges[J].Ocean Engineering,2001,28:915-932.

Rawson K J,Tupper E C.Basic Ship Theory(5thed)[M].Oxford,UK:Butterworth-Heinemann.A Division ofReed Educational and Professional Publishing Ltd.,2001:525-531.