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Computing Lyapunov exponents of continuous dynamical systems: method of Lyapunov vectors |
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| Authors: | Jia Lu Guolai Yang Hyounkyun Oh Albert CJ Luo |
| Institution: | aDepartment of Mechanical and Industrial Engineering, Center for Computer Aided Design, University of Iowa, Iowa City, IA 52242, USA bDepartment of Mechanical Design and Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China cApplied Mathematical and Computational Sciences, University of Iowa, Iowa City, IA 52242, USA dDepartment of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA |
| Abstract: | This paper proposes a new method for computing the Lyapunov characteristic exponents for continuous dynamical systems. Algorithmic development is discussed and implementation details are outlined. Numerical examples illustrating the effectiveness and accuracy of the method are presented. |
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