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Keywords: nonlinear dynamical systems
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Journal Articles
The Bouc–Wen Model for Binary Direct Collinear Collisions of Convex Viscoplastic Bodies
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Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2025, 20(6): 061005.
Paper No: CND-24-1339
Published Online: April 18, 2025
... 18 04 2025 e-mail: [email protected] 1 Corresponding author. e-mail: [email protected] impact and contact modeling multibody system dynamics nonlinear dynamical systems Proof Note that O Y + is bounded by Proposition B.2. Thus, O Y...
Topics:
Collisions (Physics)
Journal Articles
On the Global Analysis of a Piecewise Linear System that is excited by a Gaussian White Noise
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Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051029.
Paper No: CND-15-1404
Published Online: June 9, 2016
...Chen Kong; Xue Gao; Xianbin Liu The global analysis is very important for a nonlinear dynamical system which possesses a chaotic saddle and a nonchaotic attractor, especially for the one that is driven by a noise. For a random dynamical system, within which, chaotic saddles exist, it is found...
Journal Articles
Nonlinear Vibrations of an Electrostatically Actuated Microresonator in an Incompressible Fluid Cavity Based on the Modified Couple Stress Theory
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Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041029.
Paper No: CND-15-1349
Published Online: May 24, 2016
... . Manuscript received October 31, 2015; final manuscript received April 14, 2016; published online May 24, 2016. Assoc. Editor: Stefano Lenci. 31 10 2015 14 04 2016 Dynamics MEMS Nonlinear dynamical systems Nonlinear instabilities NEMS Microbeams are the main components in many...
Journal Articles
Robust Finite-Time Stabilization of Fractional-Order Chaotic Systems based on Fractional Lyapunov Stability Theory
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021010.
Published Online: January 9, 2012
.... , Chen , Y. Q. , and Podlubny , I. , 2009 , “ Mittag-Leffler Stability of Fractional Order Nonlinear Dynamic Systems ,” Automatica , 45 , pp. 1965 – 1969 . 10.1016/j.automatica.2009.04.003 33 Podlubny , I. , 1999 , Fractional Differential Equations , Academic Press , New York...
Journal Articles
Amplitude Independent Frequency Synchroniser for a Cubic Planar Polynomial System
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021009.
Published Online: January 9, 2012
... 01 2012 nonlinear dynamical systems polynomials synchronisation frequency synchronization amplitude independent center conditions period function normal forms isochronicity linearizability polynomial systems symbolic computations Gröbner basis FGb algorithm maple...
Journal Articles
Analytical Predication of Complex Motion of a Ball in a Periodically Shaken Horizontal Impact Pair
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021001.
Published Online: December 22, 2011
... of vibro-impact problems, one of the simplest vibro-impact problems will be discussed herein. In other words, the motions of a ball in a periodically shaken impact pair will be investigated through the theory of discontinuous dynamical systems. bifurcation chaos nonlinear dynamical systems...
Journal Articles
Nonlinear Dynamics of Inverted Pendulum Driven by Airflow
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011013.
Published Online: October 24, 2011
... nonlinear dynamical systems numerical analysis pendulums vibrations inverted pendulum φ 6 potential aerodynamic drag harmonic balance method escape horseshoes chaos In recent years, considerable efforts have been devoted to the study of nonlinear vibrating structures. Among...
Journal Articles
Nonlinear Parameter Identification in Multibody Systems Using Homotopy Continuation
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011012.
Published Online: October 5, 2011
.... The proposed approach is also compared with the linear regression method. 23 04 2011 12 08 2011 05 10 2011 05 10 2011 Newton method nonlinear differential equations nonlinear dynamical systems optimisation parameter estimation regression analysis deterministic...
Journal Articles
Experimental Rotations of a Pendulum on Water Waves
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011007.
Published Online: August 15, 2011
... of the most interesting is certainly that of exploiting the pendulum rotations for extracting energy from sea waves, an idea that has been recently proposed by Wiercigroch [( 3 )]. nonlinear dynamical systems pendulums rotation water waves 01 04 2011 25 06 2011 15 08 2011 15...
Journal Articles
Analysis of the Frictional Vibration of a Cleaning Blade in Laser Printers Based on a Two-Degree-Of-Freedom Model
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011006.
Published Online: August 15, 2011
... of 2DOF analytical model 10 09 2010 02 06 2011 15 08 2011 15 08 2011 bifurcation blades friction laser printers mechanical contact mechanical stability nonlinear dynamical systems vibrations Laser printers, which have recently shown advancements in image...
Journal Articles
A PID Type Constraint Stabilization Method for Numerical Integration of Multibody Systems
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Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. October 2011, 6(4): 044501.
Published Online: April 14, 2011
... 21 09 2010 14 04 2011 14 04 2011 control system synthesis differential algebraic equations multivariable control systems nonlinear dynamical systems PD control stability three-term control The dynamics of multibody systems, such as robotic manipulators, is becoming...
Journal Articles
Influence of Local Material Properties on the Nonlinear Dynamic Behavior of an Atomic Force Microscope Probe
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2011, 6(4): 041009.
Published Online: April 14, 2011
... information with nanoscale resolution. atomic force microscopy bifurcation cantilevers nonlinear dynamical systems numerical analysis The atomic force microscope (AFM) has become an important tool in micro- and nanoscale research since it was invented in the 1980s ( 1 ). A cantilever structure...
Journal Articles
Explicit Numerical Methods for Solving Stiff Dynamical Systems
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2011, 6(4): 041008.
Published Online: April 12, 2011
... , “ Precise Integration Method for Nonlinear Dynamic Equation ,” Int. J. Nonlinear Sci. Numer. Simul. 1565-1339 , 2 , pp. 371 – 374 . Zhang , S.-Y. , and Deng , Z.-C. , 2003 , “ An Improved Precise Integration Method for Nonlinear Dynamic System ,” Mech. Res. Commun. 0093-6413 , 30 ( 1...
Journal Articles
Study on the Identification of Experimental Chaotic Vibration Signal for Nonlinear Vibration Isolation System
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2011, 6(4): 041006.
Published Online: April 12, 2011
... variation law was concluded, which is the foundation of linear spectra isolation for chaotic vibration control technology. 07 09 2009 01 03 2011 12 04 2011 12 04 2011 chaos nonlinear dynamical systems Poincare mapping time series chaotic vibration time series vibration...
Journal Articles
Parametric Estimation for Delayed Nonlinear Time-Varying Dynamical Systems
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2011, 6(4): 041003.
Published Online: March 22, 2011
... and Bifurcation Surfaces for Nonlinear Time-Periodic Systems ,” Nonlinear Dyn. 0924-090X , 17 , pp. 1 – 21 . 10.1023/A:1008284325276 21 07 2010 02 02 2011 22 03 2011 22 03 2011 Chebyshev approximation least squares approximations nonlinear dynamical systems time-varying...
Journal Articles
Limit-Switch Sensor Functionality Based on Discontinuity-Induced Nonlinearities
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031004.
Published Online: December 16, 2010
... impact was graphed against the value at the previous impact. 13 01 2010 27 08 2010 16 12 2010 16 12 2010 bifurcation electromechanical effects nonlinear dynamical systems sensors Limit-switch sensors are input-output devices that switch operating state in reaction...
Journal Articles
An Extended Continuation Problem for Bifurcation Analysis in the Presence of Constraints
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031003.
Published Online: December 15, 2010
... 2010 15 12 2010 15 12 2010 bifurcation nonlinear dynamical systems Continuation is a numerical technique for computing implicitly defined manifolds that relies on the implicit function theorem (IFT) and its constructive proof. Starting with a single chart, i.e., a point...
Journal Articles
Shil’nikov Analysis of Homoclinic and Heteroclinic Orbits of the T System
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021013.
Published Online: November 15, 2010
... of Bifurcation Problems I and II ,” Int. J. Bifurcation Chaos Appl. Sci. Eng. 0218-1274 , 1 , pp. 493 – 520 and 745–772. 10.1142/S0218127491000397 15 12 2009 26 04 2010 15 11 2010 15 11 2010 chaos nonlinear dynamical systems We study the chaotic behavior of the T...
Journal Articles
A Penalty Formulation for Dynamics Analysis of Redundant Mechanical Systems
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021008.
Published Online: October 28, 2010
..., Mihajlo Pupin Institute, Belgrage, Serbia. http://www.institutepupin.com/RnDProfile/robotics/research-topic12.html 09 12 2009 29 06 2010 28 10 2010 28 10 2010 actuators biomechanics dynamics mechanical stability nonlinear dynamical systems redundant constraint...
Journal Articles
Multistage Adomian Decomposition Method for Solving NLP Problems Over a Nonlinear Fractional Dynamical System
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Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021003.
Published Online: October 20, 2010
... rapid convergency to the optimal solution of optimization problem than the integer order ones. 25 11 2009 15 03 2010 20 10 2010 20 10 2010 nonlinear differential equations nonlinear dynamical systems nonlinear programming penalty function dynamical system fractional...
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