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Keywords: Symbolic solution systems
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090901.
Paper No: CND-17-1409
Published Online: July 26, 2018
.... Excellent textbooks for symmetry methods include [ 4 , 5 ]. Analytical solution systems Nonlinear dynamical systems Symbolic solution systems 08 09 2017 21 05 2018 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090913.
Paper No: CND-17-1332
Published Online: July 26, 2018
... solution systems Vibration When finding the dynamics of a stochastic system, direct numerical simulations (usually in the form of Euler–Maruyama, Euler–Heun, or higher order methods) may be performed, or the Fokker–Planck equation (FPE) may be solved. Since the FPE does not usually have...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090912.
Paper No: CND-17-1357
Published Online: July 26, 2018
... systems Nonlinear oscillations Symbolic solution systems Vibration In 1968, Prigogine and Lefever [ 1 ] proposed the chemical reaction scheme, which is called a Brusselator. Such an oscillator is extensively studied because it is one of the simplest chemical reaction oscillators...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081004.
Paper No: CND-18-1042
Published Online: June 18, 2018
... 2018 21 05 2018 Analytical solution systems Computational dynamics Nonlinear dynamical systems Nonlinear phenomena Symbolic solution systems Bio-mechanical systems Biological systems The Newel–Whitehead–Segel equation (NWSE), one of the significant concepts of pattern...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2018, 13(6): 061002.
Paper No: CND-17-1405
Published Online: April 12, 2018
... received September 6, 2017; final manuscript received March 19, 2018; published online April 12, 2018. Assoc. Editor: Massimo Ruzzene. 06 09 2017 19 03 2018 Analytical solution systems Experimental dynamics Symbolic solution systems Depending on the level of external...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2018, 13(4): 041005.
Paper No: CND-17-1490
Published Online: February 26, 2018
... Analytical solution systems Nonlinear dynamical systems Nonlinear oscillations Perturbation Symbolic solution systems Vibration Asymptotic models The linear normal mode is an established concept in the structural dynamics theory, which has been widely used in various industrial applications...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2018, 13(3): 031006.
Paper No: CND-17-1346
Published Online: January 10, 2018
... OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received August 1, 2017; final manuscript received November 5, 2017; published online January 10, 2018. Assoc. Editor: Massimo Ruzzene. 01 08 2017 05 11 2017 Analytical solution systems Control Stability Symbolic solution systems...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2018, 13(2): 021011.
Paper No: CND-17-1216
Published Online: November 20, 2017
... Analytical solution systems Symbolic solution systems Symmetry analysis has many applications in the field of science and engineering. Lie's method is one of the global and efficient method for investigating analytical solutions and symmetry properties of nonlinear partial differential equations...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2018, 13(2): 021008.
Paper No: CND-17-1104
Published Online: November 9, 2017
... YNAMICS . Manuscript received March 6, 2017; final manuscript received August 17, 2017; published online November 9, 2017. Assoc. Editor: Bogdan I. Epureanu. 06 03 2017 17 08 2017 Algorithms Analytical solution systems Stability Numerical Symbolic solution systems Integration...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2017, 12(6): 061014.
Paper No: CND-16-1595
Published Online: September 7, 2017
... Control Non-smooth dynamics Symbolic solution systems Stability of nonlinear systems Discontinuous dynamical systems extensively exist in engineering, such as mechanical engineering and engineering control. One tried to use the existing methods in continuous dynamical systems for solving...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051025.
Paper No: CND-16-1543
Published Online: July 12, 2017
... Nonlinear phenomena Perturbation Symbolic solution systems Vibration Dynamics of NEMS Dynamics of MEMS Asymptotic models Owing to their attractive features, significant research has been presented in recent years on miniaturized structures, such as micro/nanoelectromechanical systems (M/NEMS...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051027.
Paper No: CND-16-1621
Published Online: July 12, 2017
... 12 2016 01 06 2017 Analytical solution systems Control Experimental dynamics Nonlinear dynamical systems Symbolic solution systems Stability of nonlinear systems The gyroscopic exercise tool called Power Ball [ 1 ], which utilizes a gyroscopic effect caused...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031022.
Paper No: CND-15-1165
Published Online: February 9, 2017
... Stepan. 15 06 2015 10 11 2015 Analytical solution systems Symbolic solution systems Derivative on fractals (as a special case of time scales) has been proposed in Ref. [ 1 ] by (1) D α f ( t ) : = lim t ′ → t f ( t ) − f ( t...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2017, 12(4): 041012.
Paper No: CND-16-1398
Published Online: January 25, 2017
... Analytical solution systems Computational mechanics Impact Contact Friction modeling Numerical Symbolic solution systems Integration methods A collision between two rigid bodies is often modeled as an event happening at a single contact point with an infinitesimal duration. Despite...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2017, 12(4): 041004.
Paper No: CND-15-1329
Published Online: January 20, 2017
... Algorithms Analytical solution systems Fractional calculus Integration methods Symbolic solution systems In the past few decades, fractional calculus has attained considerable popularity and importance as generalizations of integer-order evolution equations and used to model problems in neurons...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031005.
Paper No: CND-15-1364
Published Online: December 5, 2016
... dynamical systems Numerical Symbolic solution systems Dynamics Integration methods 09 11 2015 14 06 2016 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received November 9, 2015...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2017, 12(1): 011018.
Paper No: CND-15-1058
Published Online: November 22, 2016
... , t ) Algorithms Analytical solution systems Integration methods Symbolic solution systems 05 03 2015 14 10 2016 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript...
Topics: Wavelets
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2017, 12(1): 011002.
Paper No: CND-15-1266
Published Online: September 1, 2016
... OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received August 31, 2015; final manuscript received July 3, 2016; published online September 1, 2016. Assoc. Editor: Bogdan I. Epureanu. 31 08 2015 03 07 2016 Analytical solution systems Nonlinear dynamical systems Symbolic solution...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061015.
Paper No: CND-15-1202
Published Online: August 22, 2016
... 25, 2016; published online August 22, 2016. Assoc. Editor: Zdravko Terze. 06 07 2015 25 07 2016 Analytical solution systems Impact Contact modeling Symbolic solution systems The proper treatment of contact problems involving complex shaped bodies in computational...