Journal articles on the topic 'Nonlinear systems'

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1

Knobloch, H. W. "Observability of nonlinear systems." Mathematica Bohemica 131, no. 4 (2006): 411–18. http://dx.doi.org/10.21136/mb.2006.133974.

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2

Wei, Li, Anthony To-Ming Lau, Hongya Gao, and Zhongbo Fang. "Nonlinear Elliptic Systems and Nonlinear Parabolic Systems." Journal of Applied Mathematics 2014 (2014): 1–2. http://dx.doi.org/10.1155/2014/405123.

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3

Zheng-Ling, Yang, Wang Wei-Wei, Yin Zhen-Xing, Zhang Jun, and Chen Xi. "Differential System's Nonlinear Behaviour of Real Nonlinear Dynamical Systems." Chinese Physics Letters 24, no. 5 (May 2007): 1170–72. http://dx.doi.org/10.1088/0256-307x/24/5/012.

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4

Brandon, John, and P. G. Drazin. "Nonlinear Systems." Mathematical Gazette 77, no. 480 (November 1993): 395. http://dx.doi.org/10.2307/3619812.

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5

Mangel, Marc. "Nonlinear systems." Mathematical Biosciences 115, no. 1 (May 1993): 119–21. http://dx.doi.org/10.1016/0025-5564(93)90049-g.

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6

Šeda, Valter. "On nonlinear differential systems with deviating arguments." Czechoslovak Mathematical Journal 36, no. 3 (1986): 450–66. http://dx.doi.org/10.21136/cmj.1986.102105.

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7

K.C. Mishra, K. C. Mishra. "Inverse Homotopy Perturbation Method for Nonlinear systems." International Journal of Scientific Research 2, no. 4 (June 1, 2012): 61–64. http://dx.doi.org/10.15373/22778179/apr2013/86.

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8

de los Santos-Sánchez, O., and J. Récamier. "Nonlinear coherent states for nonlinear systems." Journal of Physics A: Mathematical and Theoretical 44, no. 14 (March 11, 2011): 145307. http://dx.doi.org/10.1088/1751-8113/44/14/145307.

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9

Dower, Peter M., Huan Zhang, and Christopher M. Kellett. "Nonlinear -gain verification for nonlinear systems." Systems & Control Letters 61, no. 4 (April 2012): 563–72. http://dx.doi.org/10.1016/j.sysconle.2012.02.006.

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10

Whitley, D. C., and Peter A. Cook. "Nonlinear Dynamical Systems." Mathematical Gazette 72, no. 459 (March 1988): 69. http://dx.doi.org/10.2307/3618016.

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11

DEFIGUEIREDO, DJAIRO G. "Nonlinear elliptic systems." Anais da Academia Brasileira de Ciências 72, no. 4 (December 2000): 453–69. http://dx.doi.org/10.1590/s0001-37652000000400002.

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12

Moon, F. C. "Nonlinear Dynamical Systems." Applied Mechanics Reviews 38, no. 10 (October 1, 1985): 1284–86. http://dx.doi.org/10.1115/1.3143693.

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New discoveries have been made recently about the nature of complex motions in nonlinear dynamics. These new concepts are changing many of the ideas about dynamical systems in physics and in particular fluid and solid mechanics. One new phenomenon is the apparently random or chaotic output of deterministic systems with no random inputs. Another is the sensitivity of the long time dynamic history of many systems to initial starting conditions even when the motion is not chaotic. New mathematical ideas to describe this phenomenon are entering the field of nonlinear vibrations and include ideas from topology and analysis such as Poincare´ maps, fractal dimensions, Cantor sets and strange attractors. These new ideas are already making their way into the engineering vibrations laboratory. Further research in this field is needed to extend these new ideas to multi-degree of freedom and continuum vibration problems. Also the loss of predictability in certain nonlinear problems should be studied for its impact on the field of numerical simulation in mechanics of nonlinear materials and structures.
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13

Bellomo, Nicola, and Ahmed Elaiw. "Nonlinear dynamical systems." Physics of Life Reviews 22-23 (December 2017): 22–23. http://dx.doi.org/10.1016/j.plrev.2017.07.005.

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14

Cruz Victoria, Juan C., Rafael Martínez Guerra, and Rubén Garrido. "Nonlinear Systems Diagnosis." IFAC Proceedings Volumes 37, no. 21 (December 2004): 585–90. http://dx.doi.org/10.1016/s1474-6670(17)30533-5.

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15

Kaczorek, Tadeusz. "Nonlinear control systems." Control Engineering Practice 5, no. 5 (May 1997): 733–34. http://dx.doi.org/10.1016/s0967-0661(97)85452-4.

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16

Savel'ev, M. V. "Multidimensional nonlinear systems." Theoretical and Mathematical Physics 69, no. 3 (December 1986): 1234–40. http://dx.doi.org/10.1007/bf01017622.

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17

Isidori, A. "Nonlinear dynamical systems." Automatica 26, no. 5 (September 1990): 939–40. http://dx.doi.org/10.1016/0005-1098(90)90016-b.

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18

Van der Schaft, Arjan. "Nonlinear systems analysis." Automatica 30, no. 10 (October 1994): 1631–32. http://dx.doi.org/10.1016/0005-1098(94)90103-1.

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19

SUZUKI, MAKOTO. "Nonlinear mechanochemical systems." NIPPON GOMU KYOKAISHI 60, no. 12 (1987): 702–8. http://dx.doi.org/10.2324/gomu.60.702.

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20

Jan, Jiří. "Recursive algorithms for solving systems of nonlinear equations." Applications of Mathematics 34, no. 1 (1989): 33–45. http://dx.doi.org/10.21136/am.1989.104332.

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21

Pointon, C. T., R. A. Carrasco, and M. A. Gell. "Nonlinear dynamics in telecommunication systems: complex behaviour in nonlinear processing systems." IEE Proceedings - Communications 143, no. 6 (1996): 347. http://dx.doi.org/10.1049/ip-com:19960671.

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22

Friis, Tobias, Marius Tarpø, Evangelos I. Katsanos, and Rune Brincker. "Equivalent linear systems of nonlinear systems." Journal of Sound and Vibration 469 (March 2020): 115126. http://dx.doi.org/10.1016/j.jsv.2019.115126.

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23

Berloff, Natalia G., and Louis N. Howard. "Nonlinear Wave Interactions in Nonlinear Nonintegrable Systems." Studies in Applied Mathematics 100, no. 3 (April 1998): 195–213. http://dx.doi.org/10.1111/1467-9590.00075.

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24

Wang, Meiqiao, and Wuquan Li. "Distributed adaptive control for nonlinear multi-agent systems with nonlinear parametric uncertainties." Mathematical Biosciences and Engineering 20, no. 7 (2023): 12908–22. http://dx.doi.org/10.3934/mbe.2023576.

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<abstract><p>This paper considers the distributed tracking control problem for a class of nonlinear multi-agent systems with nonlinearly parameterized control coefficients and inherent nonlinearities. The essential of multi-agent systems makes it difficult to directly generalize the existing works for single nonlinearly parameterized systems with uncontrollable unstable linearization to the case in this paper. To dominate the inherent nonlinearities and nonlinear parametric uncertainties, a powerful distributed adaptive tracking control is presented by combing the algebra graph theory with the distributed backstepping method, which guarantees that all the closed-loop system signals are global bounded while the range of the tracking error between the follower's output and the leader's output can be tuned arbitrarily small. Finally, a numerical example is provided to verify the validity of the developed methods.</p></abstract>
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25

Alfriend, Kyle T. "Editorial: Nonlinear Dynamical Systems." Journal of Guidance, Control, and Dynamics 20, no. 6 (November 1997): 1057. http://dx.doi.org/10.2514/2.4165.

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26

Aggarwal, J. K., and M. Vidyasagar. "Nonlinear systems: Stability analysis." IEEE Transactions on Systems, Man, and Cybernetics SMC-15, no. 4 (July 1985): 596–97. http://dx.doi.org/10.1109/tsmc.1985.6313432.

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27

Покутний, Олександр Олексійович. "Syngularly perturbed nonlinear systems." Technology audit and production reserves 5, no. 2(7) (September 6, 2012): 37–38. http://dx.doi.org/10.15587/2312-8372.2012.4838.

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28

Turner, L. R. "SOLUTION OF NONLINEAR SYSTEMS." Annals of the New York Academy of Sciences 86, no. 3 (December 15, 2006): 817–27. http://dx.doi.org/10.1111/j.1749-6632.1960.tb42844.x.

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29

Campos Cantón, E., J. S. González Salas, and J. Urías. "Filtering by nonlinear systems." Chaos: An Interdisciplinary Journal of Nonlinear Science 18, no. 4 (December 2008): 043118. http://dx.doi.org/10.1063/1.3025285.

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30

Han, Maoan, Zhen Jin, Yonghui Xia, and Haomin Zhou. "Dynamics of Nonlinear Systems." Scientific World Journal 2014 (2014): 1. http://dx.doi.org/10.1155/2014/246418.

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31

Anthes, Gary. "Nonlinear systems made easy." Communications of the ACM 54, no. 1 (January 2011): 17–19. http://dx.doi.org/10.1145/1866739.1866745.

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32

Metwalli, S. M. "Optimum Nonlinear Suspension Systems." Journal of Mechanisms, Transmissions, and Automation in Design 108, no. 2 (June 1, 1986): 197–202. http://dx.doi.org/10.1115/1.3260802.

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Global optimal isolation is presented in this paper. Results indicate that to optimally isolate a system, it should be totally disconnected from the disturbance. A model is then selected to optimize nonlinear suspension systems which, in the limits, approach optimal isolation characteristics. Nondimensional design parameters that themselves are made to be dependent on the input are employed. A step disturbance is selected to equivalently represent real excitations. The objective function incorporates the tire-terrain normal force as an indicator of the vehicle controllability which is unconstrained or constrained by a comfort criterion (acceleration). The advantages of optimized realistically nonlinear systems over their linear counterparts are indicated.
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33

Joshi, Mohan C., and Raju K. George. "Controllability of nonlinear systems." Numerical Functional Analysis and Optimization 10, no. 1-2 (January 1989): 139–66. http://dx.doi.org/10.1080/01630568908816296.

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34

Gruyitch, Lyubomir T. "Nonlinear hybrid control systems." Nonlinear Analysis: Hybrid Systems 1, no. 2 (June 2007): 139–40. http://dx.doi.org/10.1016/j.nahs.2006.10.001.

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35

Klamka, Jerzy. "Controllability of nonlinear systems." IFAC Proceedings Volumes 36, no. 7 (June 2003): 29–32. http://dx.doi.org/10.1016/s1474-6670(17)35802-0.

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36

Tso, Kaising. "Nonlinear symmetric positive systems." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 9, no. 4 (July 1992): 339–66. http://dx.doi.org/10.1016/s0294-1449(16)30231-1.

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37

Ku, Y. H., and Xiaoguang Sun. "On nonlinear systems—chaos." Journal of the Franklin Institute 326, no. 1 (January 1989): 93–107. http://dx.doi.org/10.1016/0016-0032(89)90062-8.

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38

Chukwu, E. N. "Nonlinear delay systems controllability." Journal of Mathematical Analysis and Applications 162, no. 2 (December 1991): 564–76. http://dx.doi.org/10.1016/0022-247x(91)90169-z.

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39

Gasiński, Leszek, and Nikolaos S. Papageorgiou. "Nonlinear Multivalued Periodic Systems." Journal of Dynamical and Control Systems 25, no. 2 (June 14, 2018): 219–43. http://dx.doi.org/10.1007/s10883-018-9408-9.

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40

Adomian, G. "Delayed nonlinear dynamical systems." Mathematical and Computer Modelling 22, no. 3 (August 1995): 77–79. http://dx.doi.org/10.1016/0895-7177(95)00121-h.

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41

Friedland, Lazar. "Autoresonance in nonlinear systems." Scholarpedia 4, no. 1 (2009): 5473. http://dx.doi.org/10.4249/scholarpedia.5473.

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42

Korenberg, Michael J. "Identification of Nonlinear Systems." IFAC Proceedings Volumes 27, no. 1 (March 1994): 561–63. http://dx.doi.org/10.1016/s1474-6670(17)46337-3.

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43

Craig, Walter. "Nonstrictly hyperbolic nonlinear systems." Mathematische Annalen 277, no. 2 (June 1987): 213–32. http://dx.doi.org/10.1007/bf01457361.

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44

Michalski, Miłosz. "Nonlinear mixing dynamical systems." Reports on Mathematical Physics 24, no. 3 (December 1986): 305–13. http://dx.doi.org/10.1016/0034-4877(86)90003-0.

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45

Hunt, L. R., D. A. Linebarger, and R. D. DeGroat. "Realizations of nonlinear systems." Circuits, Systems, and Signal Processing 8, no. 4 (December 1989): 487–506. http://dx.doi.org/10.1007/bf01599769.

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46

Suyama, Koichi. "Reliable nonlinear control systems." Electronics and Communications in Japan (Part II: Electronics) 82, no. 1 (January 1999): 11–22. http://dx.doi.org/10.1002/(sici)1520-6432(199901)82:1<11::aid-ecjb2>3.0.co;2-x.

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47

Papageorgiou, Nikolaos S., Calogero Vetro, and Francesca Vetro. "Nonlinear multivalued Duffing systems." Journal of Mathematical Analysis and Applications 468, no. 1 (December 2018): 376–90. http://dx.doi.org/10.1016/j.jmaa.2018.08.024.

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48

Scherpen, J. M. A. "Balancing for nonlinear systems." Systems & Control Letters 21, no. 2 (August 1993): 143–53. http://dx.doi.org/10.1016/0167-6911(93)90117-o.

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49

Schmeidel, Ewa. "Oscillation of nonlinear three-dimensional difference systems with delays." Mathematica Bohemica 135, no. 2 (2010): 163–70. http://dx.doi.org/10.21136/mb.2010.140693.

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50

Nikitin, S. "Decoupling normalizing transformations and local stabilization of nonlinear systems." Mathematica Bohemica 121, no. 3 (1996): 225–48. http://dx.doi.org/10.21136/mb.1996.125988.

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