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Journal Articles

Parallel Cell Mapping Method for Global Analysis of High-Dimensional Nonlinear Dynamical Systems

Fu-Rui Xiong, Zhi-Chang Qin, Qian Ding, Carlos Hernández, Jesús Fernandez, Oliver Schütze, Jian-Qiao Sun
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. November 2015, 82(11): 111010.
Paper No: JAM-15-1119
https://doi.org/10.1115/1.4031149
Published Online: August 10, 2015
View Article titled, Parallel Cell Mapping Method for Global Analysis of High-Dimensional Nonlinear Dynamical Systems
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Topics: Algorithms, Attractors, Dynamics (Mechanics), Graphics processing units, Interpolation, Nonlinear dynamical systems, Plasmas (Ionized gases), Transients (Dynamics), Steady state, Dynamic systems
Journal Articles

Boundary for Complete Set of Attractors for Forced–Damped Essentially Nonlinear Systems

Itay Grinberg, Oleg V. Gendelman
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. May 2015, 82(5): 051004.
Paper No: JAM-14-1470
https://doi.org/10.1115/1.4030045
Published Online: May 1, 2015
View Article titled, Boundary for Complete Set of Attractors for Forced–Damped Essentially Nonlinear Systems
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Topics: Attractors, Nonlinear systems
Journal Articles

Invariants of Chaotic Attractor in a Nonlinearly Damped System

B. Ravindra, P. Hagedorn
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. December 1998, 65(4): 875–879.
https://doi.org/10.1115/1.2791926
Published Online: December 1, 1998
View Article titled, Invariants of Chaotic Attractor in a Nonlinearly Damped System
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Topics: Attractors, Dimensions, Entropy, Dampers, Damping, Time series
Journal Articles

Chaotic Motions of a Dual-Spin Body

A. C. Or
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 1998, 65(1): 150–156.
https://doi.org/10.1115/1.2789018
Published Online: March 1, 1998
View Article titled, Chaotic Motions of a Dual-Spin Body
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Topics: Attractors, Coulombs, Dynamics (Mechanics), Equations of motion, Friction, Homoclinic orbits, Particle spin, Rotation, Spin (Aerodynamics), Steady state
Journal Articles

Experiments on Nonlinear Dynamic Behavior of an Oscillator With Clearance and Periodically Time-Varying Parameters

A. Kahraman, G. W. Blankenship
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 1997, 64(1): 217–226.
https://doi.org/10.1115/1.2787276
Published Online: March 1, 1997
View Article titled, Experiments on Nonlinear Dynamic Behavior of an Oscillator With Clearance and Periodically Time-Varying Parameters
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Topics: Clearances (Engineering), Excitation, Attractors, Resonance, Spectra (Spectroscopy)
Journal Articles

Bifurcation and Chaos in Externally Excited Circular Cylindrical Shells

Char-Ming Chin, A. H. Nayfeh
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1996, 63(3): 565–574.
https://doi.org/10.1115/1.2823335
Published Online: September 1, 1996
View Article titled, Bifurcation and Chaos in Externally Excited Circular Cylindrical Shells
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Topics: Bifurcation, Chaos, Circular cylindrical shells, Equilibrium (Physics), Partial differential equations, Stability, Attractors, Differential equations, Excitation, Explosives
Journal Articles

Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors

H. Lin, S. C. S. Yim
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. June 1996, 63(2): 509–516.
https://doi.org/10.1115/1.2788897
Published Online: June 1, 1996
View Article titled, Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors
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Topics: Nonlinear systems, Chaos, Density, Dynamics (Mechanics), Noise (Sound), Probability, Approximation, Attractors, Computer simulation, Fokker-Planck equation
Journal Articles

Noise-Induced Transitions in Weakly Nonlinear Oscillators Near Resonance

R. V. Roy
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. June 1995, 62(2): 496–504.
https://doi.org/10.1115/1.2895957
Published Online: June 1, 1995
View Article titled, Noise-Induced Transitions in Weakly Nonlinear Oscillators Near Resonance
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Topics: Noise (Sound), Resonance, Damping, Bifurcation, Probability, Attractors, Computer simulation, Density, Excitation, Fluctuations (Physics)
Journal Articles

Domains of Attraction of a Forced Beam by Interpolated Mapping

W. K. Lee, M. R. Ghang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1994, 61(1): 144–151.
https://doi.org/10.1115/1.2901389
Published Online: March 1, 1994
View Article titled, Domains of Attraction of a Forced Beam by Interpolated Mapping
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Topics: Attractors, Differential equations, Dynamic systems, Equations of motion, Excitation, Poincaré maps, Steady state
Journal Articles

Chaotic Motion of an Elastic-Plastic Beam

B. Poddar, F. C. Moon, S. Mukherjee
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1988, 55(1): 185–189.
https://doi.org/10.1115/1.3173627
Published Online: March 1, 1988
View Article titled, Chaotic Motion of an Elastic-Plastic Beam
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Topics: Attractors, Excitation, Finite element analysis, Fractals, Solid mechanics, Transients (Dynamics)
Journal Articles

Chaos in a Harmonically Excited Elastic Beam

A. Maewal
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1986, 53(3): 625–632.
https://doi.org/10.1115/1.3171822
Published Online: September 1, 1986
View Article titled, Chaos in a Harmonically Excited Elastic Beam
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Topics: Chaos, Attractors, Dimensions, Excitation, Spectra (Spectroscopy)
Journal Articles

A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part II: Examples of Application

H. M. Chiu, C. S. Hsu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1986, 53(3): 702–710.
https://doi.org/10.1115/1.3171834
Published Online: September 1, 1986
View Article titled, A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part II: Examples of Application
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Topics: Attractors, Excitation, Random excitation, Stochastic systems
Journal Articles

Strange Attractors and Chaos in Nonlinear Mechanics

P. J. Holmes, F. C. Moon
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1983, 50(4b): 1021–1032.
https://doi.org/10.1115/1.3167185
Published Online: December 1, 1983
View Article titled, Strange Attractors and Chaos in Nonlinear Mechanics
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Topics: Attractors, Chaos, Dynamics (Mechanics), Electronic systems, Homoclinic orbits, Nonlinear differential equations
Journal Articles

Experiments on Chaotic Motions of a Forced Nonlinear Oscillator: Strange Attractors

F. C. Moon
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1980, 47(3): 638–644.
https://doi.org/10.1115/1.3153746
Published Online: September 1, 1980
View Article titled, Experiments on Chaotic Motions of a Forced Nonlinear Oscillator: Strange Attractors
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Topics: Attractors, Equilibrium (Physics), Magnetic fields, Vibration, Damping, Deflection, Excitation