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Keywords: nonlinear differential equations
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011014.
Published Online: November 10, 2011
... at the contact points of rolling elements and races, whose stiffnesses are obtained by using Hertzian elastic contact deformation theory. The numerical integration technique Newmark-β with the Newton–Raphson method is used to solve the nonlinear differential equations, iteratively. The effect of bearing running...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011012.
Published Online: October 5, 2011
... coordinates must be known in order to apply the linear least-square methods. deterministic optimization global optimization homotopy continuation measurement noise parameter identification partial state measurement Newton method nonlinear differential equations nonlinear dynamical systems...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. January 2012, 7(1): 014501.
Published Online: July 22, 2011
... 2011 22 07 2011 22 07 2011 Galerkin method Legendre polynomials nonlinear differential equations wave equations Legendre multiwavelet DGRLW equation Ritz method Galerkin method The damped generalized regularized long-wave (DGRLW) equation is a partial differential...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031006.
Published Online: December 16, 2010
... feedback linear systems nonlinear control systems nonlinear differential equations partial differential equations piezoelectric actuators plates (structures) structural engineering structural panels panel flutter suppression feedback linearization controllers piezoelectric actuations...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021003.
Published Online: October 20, 2010
... , Springer-Verlag , Berlin . Schittkowski , K. , 1987 , More Test Examples For Nonlinear Programming Codes , Springer , Berlin . 25 11 2009 15 03 2010 20 10 2010 20 10 2010 nonlinear differential equations nonlinear dynamical systems Fractional calculus...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2011, 6(1): 011003.
Published Online: September 27, 2010
... trajectory, and then carry out the approximation of the Lyapunov exponents using techniques for linear problems. 27 05 2009 20 04 2010 27 09 2010 27 09 2010 approximation theory Jacobian matrices Lyapunov methods nonlinear differential equations vectors Lyapunov...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2010, 5(1): 011008.
Published Online: November 18, 2009
... in the form of uniformly convergent series is obtained. The same orbit is also obtained numerically by a technique enunciated by Magnitskii and Sidorov, reproducing the necessary important features. 21 10 2008 03 06 2009 18 11 2009 18 11 2009 chaos nonlinear differential equations...
Topics: Chaos
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2010, 5(1): 011006.
Published Online: November 18, 2009
... 20 09 2008 12 05 2009 18 11 2009 18 11 2009 beams (structures) nonlinear differential equations vibrations nonlinear vibration two degrees of freedom analytical solution homotopy analysis method homotopy Padé technique Vibrations of many practical...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. July 2009, 4(3): 034503.
Published Online: May 21, 2009
... with an unbalanced motor of excitation with limited power supply. The control of motion and the attenuation of the Sommerfeld effect of the considered nonideal system are analyzed in this paper. The mathematical model of the system is represented by coupled nonlinear differential equations. The identification...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. July 2009, 4(3): 034501.
Published Online: May 20, 2009
... differential equations probability stochastic processes The transmission error between a pair of gears is one of the major causes for acoustic and vibrational noise in gear systems. This transmission error is caused by the presence of a backlash, which will always be found in such drives to avoid...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2009, 4(2): 021005.
Published Online: March 6, 2009
... physical systems for the study of their nonlinear dynamics ( 6 7 ). multiple time scales method normal form theory Duffing equation internal resonance spring-mass-pendulum system nonlinear differential equations nonlinear dynamical systems perturbation theory 26 11 2007 23...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2008, 3(1): 011006.
Published Online: November 12, 2007
... equations Lyapunov methods nonlinear dynamical systems periodicity ratio Lyapunov exponent irregular motions nonlinear dynamics nonlinear differential equations chaos periodic behavior quasiperiodic behavior Poincaré map In the studies of nonlinear dynamic systems, which are usually...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2007, 2(4): 324–336.
Published Online: March 28, 2007
... nonlinear differential equations oscillations partial differential equations spatiotemporal phenomena vibrations wires inclined cable frequency avoidance hybrid mode forced vibration internal resonance bifurcation analysis chaos Arbitrarily inclined and sagged cables are found...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2007, 2(3): 249–266.
Published Online: January 23, 2007
... as our current linear tools. nonlinear dynamical systems Galerkin method eigenvalues and eigenfunctions vibrations springs (mechanical) damping nonlinear differential equations Problems of even great nonlinearity are often quite amendable to Galerkin approximation employing modes...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2007, 2(2): 141–145.
Published Online: October 4, 2006
.... 0295-5075 10.1209/epl/i2005-10017-3 , 70 , pp. 425 – 431 . 17 07 2006 04 10 2006 nonlinear dynamical systems nonlinear differential equations oscillators perturbation theory modified Lindstedt–Poincaré method strong nonlinearity mixed-parity Nonlinear...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2006, 1(4): 358–367.
Published Online: June 3, 2006
... differential equations oscillations Phase-reduced models of neurons have traditionally been used to investigate either the patterns of synchrony that result from the type and architecture of coupling ( 1 2 3 4 5 6 7 8 ) or the response of large groups...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2006, 1(3): 230–239.
Published Online: February 25, 2006
...(C++) and compares favorably with a reference method previously available. The approach was also validated against MSC.NASTRAN and experimental results. 08 11 2005 25 02 2006 N-body problems linearisation techniques nonlinear differential equations differential algebraic...