Citation: | Gan Chunbiao, Lu Qishao. Asymptotic Solutions, Bifurcations and Chaosof Slow-Varying System[J]. Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(2): 225-228. (in Chinese) |
1. Collinge I R, Ockendon J R. Transition resonance of a Duffing oscillator. SIAM J Appl Math, 1979, 15:350~357 2. Moslehy F A, Evan-Iwanowski R M. The effects of nonstationary processes on chaotic and regular responses of the Duffing oscillator. Int J Non-Linear Mech, 1991, 26:61~71 3. Rahman Z, Burton T D. Large amplitude primary and superharmonic resonance in the Duffing oscillator. J Sound and Vibration, 1986, 110:363~380 4. Jordan D W, Smith P. Non-linear ordinary differential equations. 2nd ed. Oxford:Clarendon Press, 1987 5. Wiggins S. Introduction to applied non-linear dynamical systems and chaos. 2nd ed.Berlin:Springer-Verlag, 1991 6. Suire G, Cederbaum G. Periodic and chaos behavior of viscoelastic non-linear (elastic) bars under harmonic excitations. Int J Mech Sci, 1995, 37:753~772
|
[1] | SUN X M,MA X,LIU Y,et al. Adaptive sliding mode region reaching control for uncertain nonlinear systems[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(8):2482-2491 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0647. |
[2] | SU Jinxin, XI Ziyan, DAI Yuting. Nonlinear fluid-structure interaction response analysis of a large flexible wing under strong gusts[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0278 |
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[6] | WANG H B,HE H,ZOU H J,et al. Nonlinear backstepping control of special EHA for rail grinding vehicles[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(8):2439-2448 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0681. |
[7] | QUAN Q,CHEN L. Control of non-affine nonlinear systems: A survey[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(8):2367-2381 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0642. |
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[10] | LIU W,YAN S,WANG X B,et al. Consensus control of multi-agent systems with uncertain communication networks[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(5):1463-1473 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0518. |
[11] | YANG R R,ZHANG L,ZHAO J L,et al. Nonlinear variable damping integral sliding mode control for electro-hydrostatic actuator[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(1):163-172 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0252. |
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[15] | MA Y F,DAI S W,WANG R,et al. Nonlinear spatial K-means clustering algorithm for detection of zero-speed interval in inertial pedestrian navigation[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(10):2841-2850 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0764. |
[16] | MIAO D,YANG D K,XU Z C,et al. Low-altitude, slow speed and small target detection probability of passive radar based on GNSS signals[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(3):657-664 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0271. |
[17] | XU Q Y,MENG Y,LI S. Strain-based geometrically nonlinear beam modeling and analysis[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(8):2039-2049 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0627. |
[18] | WANG F F,TANG S J,SUN X Y,et al. Remaining useful life prediction based on multi source information with considering random effects[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(11):3075-3085 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0782. |
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