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Keywords: discrete systems
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031006.
Published Online: December 16, 2010
... ) and C 1 , C 2 , C 3 , C 4 , C 5 , and C 6 are the nonlinear terms of the modal amplitudes as defined in Ref. 4 . 20 10 2009 02 07 2010 16 12 2010 16 12 2010 approximation theory closed loop systems discrete systems...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2009, 4(3): 031002.
Published Online: May 19, 2009
... = f ̂ i The expression of Lagrange’s equations similar to those for discrete systems, Eq. 63 , must also be examined. We again construct a Taylor series and apply Lagrange’s equations, resulting in the following contributing coefficients: 83 L 1 i j = | ∂ 2 L...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2008, 3(2): 021206.
Published Online: February 4, 2008
... exponents and fractal dimension were used to examine the characters of the chaos in the two models. discrete systems nonlinear dynamical systems road traffic The Lyapunov exponents characterize quantitatively the dynamics of a system representing the asymptotic rate of exponential convergence...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2008, 3(2): 021102.
Published Online: January 28, 2008
... specific characteristic of singular Lagrangian theories (see, for example, Ref. 44 and the references therein). discrete systems nonlinear dynamical systems phase space methods variational techniques 05 06 2007 07 08 2007 28 01 2008 2008 American Society of Mechanical...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2006, 1(4): 312–319.
Published Online: May 14, 2006
... ) } otherwise Note that W is recursively defined with W P ( G ) ∊ [ 0 , 1 ] for all G ∊ G . 15 11 2005 14 05 2006 phase space methods combinatorial mathematics mesh generation computational complexity discrete systems Lyapunov methods...