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H. J. Van Roessel
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Proceedings Papers

Unified Approach for Noisy Nonlinear Mathieu-Type Systems

N. Sri Namachchivaya, Richard B. Sowers, H. J. Van Roessel
Proc. ASME. IDETC-CIE2001, Volume 6C: 18th Biennial Conference on Mechanical Vibration and Noise, 2447-2456, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21590
https://doi.org/10.1115/DETC2001/VIB-21590
View Paper titled, Unified Approach for Noisy Nonlinear Mathieu-Type Systems
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Topics: Approximation, Bifurcation, Degrees of freedom, Density, Dynamic systems, Dynamics (Mechanics), Gluing, Markov processes, Probability
Proceedings Papers

Asymptotic Analysis of Nonlinear Stochastic Equations With Rapidly Oscillating and Decaying Components

N. Sri Namachchivaya, H. J. Van Roessel
Proc. ASME. IMECE2003, Applied Mechanics and Biomedical Technology, 277-286, November 15–21, 2003
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2003-55648
https://doi.org/10.1115/IMECE2003-55648
View Paper titled, Asymptotic Analysis of Nonlinear Stochastic Equations With Rapidly Oscillating and Decaying Components
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Topics: Markov processes, Noise (Sound), Nonlinear dynamical systems, Springs
Journal Articles

Stochastic Stability of Coupled Oscillators in Resonance: A Perturbation Approach

N. Sri Namachchivaya, H. J. Van Roessel
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2004, 71(6): 759–768.
https://doi.org/10.1115/1.1795813
Published Online: January 27, 2005
View Article titled, Stochastic Stability of Coupled Oscillators in Resonance: A Perturbation Approach
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Topics: Eigenvalues, Resonance, Stability, Galerkin method, Generators, Noise (Sound), Excitation, Approximation
Journal Articles

Moment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise

N. Sri Namachchivaya, H. J. Van Roessel
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2001, 68(6): 903–914.
https://doi.org/10.1115/1.1387021
Published Online: February 26, 2001
View Article titled, Moment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise
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Topics: Eigenvalues, Noise (Sound), Stability, Excitation
Journal Articles

Maximal Lyapunov Exponent and Almost-Sure Stability for Coupled Two-Degree-of-Freedom Stochastic Systems

N. Sri Namachchivaya, H. J. Van Roessel, S. Talwar
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1994, 61(2): 446–452.
https://doi.org/10.1115/1.2901465
Published Online: June 1, 1994
View Article titled, Maximal Lyapunov Exponent and Almost-Sure Stability for Coupled Two-Degree-of-Freedom Stochastic Systems
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Topics: Stability, Stochastic systems, Degrees of freedom, Noise (Sound), Rotation