Publications Related to Computation of LCEs


Discrete Dynamical Systems

"A note on the computation of the largest p LCEs of discrete dynamical systems", by Firdaus E. Udwadia, Hubertus F. von Bremen and Wlodek Proskurowski, Applied Mathematics and Computation, vol. 114, pp. 205-214, 2000.

"An Efficient QR Based Method for the Computation of Lyapunov Exponents" , by Hubertus F. von Bremen, Firdaus E. Udwadia, and Wlodek Proskurowski, Physica D, vol. 101,  pp. 1-16, 1997.

“Computation of Lyapunov Exponents Using Householder Factorization”  by Hubertus F. von Bremen, Firdaus E. Udwadia and Wlodek Proskurowski. Revista Brasileira de Ciencias Mecanicas- Journal of the Braz. Soc. of Mechanical Sciences, vol. 19, No. 2, pp. 253-261, 1997.

Conferences and Proceedings:

Hubertus F. von Bremen, Firdaus E. Udwadia and Wlodek Proskurowski. “An efficient computation of all and the largest p Lyapunov exponents”, appeared in Complex Dynamical Systems With Incomplete Information: Proceedings of the 10th Workshop on Dynamics and Control held at Lambrecht, Germany, August 16-19, 1998, pp. 200-211. Edited by Eduard Reithmeier and George Leitmann, Shaker Verlag, 1999.

Hubertus F. von Bremen, Firdaus E. Udwadia and Wlodek Proskurowski. “On the Efficient Computation of Lyapunov Exponents” Proceedings of the International Conference on Control of Oscillations and Chaos. Held at St. Petersburg, Russia, August 27-29, 1997.

Continuous Dynamical Systems

“Computation of Lyapunov characteristic exponents for continuous dynamical systems” by Firdaus E. Udwadia, Hubertus F. von Bremen, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), vol. 53, pp. 123-146, 2002.

“An Efficient and Stable Approach for the Computation of the Lyapunov Characteristic Exponents for Continuous Dynamical Systems” by Firdaus E. Udwadia and Hubertus F. von Bremen, Applied Mathematics and Computation, , vol. 121, pp. 219-259, 2001.

Conferences and Proceedings:

“A Stable Method for the Computation of Lyapunov Characteristic Exponents for Continuous Dynamical Systems”, by Firdaus E. Udwadia and Hubertus F. von Bremen. 1999 SIAM Annual Meeting, Atlanta, Georgia, May 12-15, 1999.

“Approach for Computation of Lyapunov Characteristic Exponents of Continuous Dynamical Systems”, by  Hubertus F. von Bremen and Firdaus E. Udwadia  Proceedings of the 43rd  AIAA/ASME/ASCE/AHS/ Structures, Structural Dynamics, and Materials Conference & Exhibit, held in Denver, Colorado, April 22-25, 2002.