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Keywords: Analytical solution systems
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Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090913.
Paper No: CND-17-1332
Published Online: July 26, 2018
.... 30 07 2017 30 10 2017 Analytical solution systems Continuation Methods Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Stability Stochastic systems Symbolic solution systems Vibration Writing Eq. (4) in state space form (5) { d...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090912.
Paper No: CND-17-1357
Published Online: July 26, 2018
.... Editor: Hiroshi Yabuno. 03 08 2017 05 10 2017 Analytical solution 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090901.
Paper No: CND-17-1409
Published Online: July 26, 2018
... equations. The knowledge symmetries are important, sometimes just as important as the conserved quantity itself. Excellent textbooks for symmetry methods include [ 4 , 5 ]. Analytical solution systems Nonlinear dynamical systems Symbolic solution systems 08 09 2017 21 05 2018...
Journal Articles
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2018, 13(7): 071004.
Paper No: CND-17-1531
Published Online: May 28, 2018
..., identified parameters of AMB model may contain the parametric uncertainty [ 14 ]. The combination of these nonlinearities and parametric uncertainty may cause significant influence on the vibration characteristics. Analytical solution systems Bifurcations Control Nonlinear dynamical systems...
Journal Articles
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 In 2000, Landa and McClintock [ 1...
Journal Articles
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2018, 13(3): 031006.
Paper No: CND-17-1346
Published Online: January 10, 2018
... into the parametric instability have been gained based on different models [ 2 – 29 ]. This work focuses on the accurate and complete comparison in terms of instabilities. Analytical solution systems Control Stability Symbolic solution systems Stability of nonlinear systems 01 08 2017 05 11...
Journal Articles
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2018, 13(2): 021008.
Paper No: CND-17-1104
Published Online: November 9, 2017
... ] ;     A 3 ( λ ) = [   0     0 − b 2     0 ]     (37) f 1 ( t ) = 1 ;   f 2 ( t ) = cos   1.0031058 t ;   f 3 ( t ) = cos   1.6161149 t Algorithms Analytical solution systems Stability...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2017, 12(6): 061014.
Paper No: CND-16-1595
Published Online: September 7, 2017
... for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received December 1, 2016; final manuscript received April 1, 2017; published online September 7, 2017. Assoc. Editor: Tomasz Kapitaniak. 01 12 2016 01 04 2017 Analytical solution systems Bifurcations...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051025.
Paper No: CND-16-1543
Published Online: July 12, 2017
... and digital mirrors, microrelays, mechanical memories, [ 15 ] and microresonators [ 16 ]. These microscale structures show bistable behavior characterized by multivalued curves in their load–deflection diagrams. Analytical solution systems Computational mechanics Dynamics of MEMS Nano systems...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051027.
Paper No: CND-16-1621
Published Online: July 12, 2017
...; final manuscript received June 1, 2017; published online July 12, 2017. Assoc. Editor: Hiroshi Yabuno. 13 12 2016 01 06 2017 Analytical solution systems Control Experimental dynamics Nonlinear dynamical systems Symbolic solution systems Stability of nonlinear systems...
Journal Articles
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2017, 12(4): 041012.
Paper No: CND-16-1398
Published Online: January 25, 2017
... integration of Eq. (31) over I z  7:  update I according to Eq. (26) Algorithms Analytical solution systems Computational mechanics Impact Contact Friction modeling Numerical Symbolic solution systems Integration methods A collision between two rigid bodies is often...
Journal Articles
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031005.
Paper No: CND-15-1364
Published Online: December 5, 2016
... online December 5, 2016. Assoc. Editor: Jozsef Kovecses. 09 11 2015 14 06 2016 Algorithms Analytical solution systems Computational kinematics Nonlinear dynamical systems Numerical Symbolic solution systems Dynamics Integration methods Constrained dynamical systems...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2017, 12(1): 011018.
Paper No: CND-15-1058
Published Online: November 22, 2016
... in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received March 5, 2015; final manuscript received October 14, 2016; published online November 22, 2016. Assoc. Editor: Gabor Stepan. 05 03 2015 14 10 2016 Algorithms Analytical solution systems Integration...
Topics: Wavelets
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2017, 12(1): 011002.
Paper No: CND-15-1266
Published Online: September 1, 2016
... with nonlinear functions described as (1) f ( x ¨ , x ˙ , x , t ) = 0 Analytical solution systems Nonlinear dynamical systems Symbolic solution systems 31 08 2015 03 07 2016 Contributed by the Design Engineering Division of ASME for publication...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061015.
Paper No: CND-15-1202
Published Online: August 22, 2016
... of all the solutions simultaneously beyond the degeneracy as long as their number is finite. Analytical solution systems Impact Contact modeling Symbolic solution systems is a plane rotation matrix. Without loss of generality, we choose the common frame g to be the body-fixed...