Journal articles on the topic 'Unstable periodic orbits (UPOs)'
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Saiki, Y., and M. Yamada. "Time averaged properties along unstable periodic orbits and chaotic orbits in two map systems." Nonlinear Processes in Geophysics 15, no. 4 (August 7, 2008): 675–80. http://dx.doi.org/10.5194/npg-15-675-2008.
Full textCOY, BENJAMIN. "DIMENSION REDUCTION FOR ANALYSIS OF UNSTABLE PERIODIC ORBITS USING LOCALLY LINEAR EMBEDDING." International Journal of Bifurcation and Chaos 22, no. 01 (January 2012): 1230001. http://dx.doi.org/10.1142/s0218127412300017.
Full textMorena, Matthew A., and Kevin M. Short. "Cupolets: History, Theory, and Applications." Dynamics 4, no. 2 (May 13, 2024): 394–424. http://dx.doi.org/10.3390/dynamics4020022.
Full textDolan, Kevin, Annette Witt, Jürgen Kurths, and Frank Moss. "Spatiotemporal Distributions of Unstable Periodic Orbits in Noisy Coupled Chaotic Systems." International Journal of Bifurcation and Chaos 13, no. 09 (September 2003): 2673–80. http://dx.doi.org/10.1142/s021812740300817x.
Full textTIAN, YU-PING, and XINGHUO YU. "STABILIZING UNSTABLE PERIODIC ORBITS OF CHAOTIC SYSTEMS WITH UNKNOWN PARAMETERS." International Journal of Bifurcation and Chaos 10, no. 03 (March 2000): 611–20. http://dx.doi.org/10.1142/s0218127400000426.
Full textBoukabou, A., A. Chebbah, and A. Belmahboul. "Stabilizing Unstable Periodic Orbits of the Multi-Scroll Chua's Attractor." Nonlinear Analysis: Modelling and Control 12, no. 4 (October 25, 2007): 469–77. http://dx.doi.org/10.15388/na.2007.12.4.14678.
Full textMaiocchi, Chiara Cecilia, Valerio Lucarini, and Andrey Gritsun. "Decomposing the dynamics of the Lorenz 1963 model using unstable periodic orbits: Averages, transitions, and quasi-invariant sets." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 3 (March 2022): 033129. http://dx.doi.org/10.1063/5.0067673.
Full textSaiki, Y. "Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors." Nonlinear Processes in Geophysics 14, no. 5 (September 14, 2007): 615–20. http://dx.doi.org/10.5194/npg-14-615-2007.
Full textTIAN, YU-PING. "AN OPTIMIZATION APPROACH TO LOCATING AND STABILIZING UNSTABLE PERIODIC ORBITS OF CHAOTIC SYSTEMS." International Journal of Bifurcation and Chaos 12, no. 05 (May 2002): 1163–72. http://dx.doi.org/10.1142/s0218127402005017.
Full textGritsun, A. "Statistical characteristics, circulation regimes and unstable periodic orbits of a barotropic atmospheric model." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1991 (May 28, 2013): 20120336. http://dx.doi.org/10.1098/rsta.2012.0336.
Full textHINO, TORU, SHIGERU YAMAMOTO, and TOSHIMITSU USHIO. "STABILIZATION OF UNSTABLE PERIODIC ORBITS OF CHAOTIC DISCRETE-TIME SYSTEMS USING PREDICTION-BASED FEEDBACK CONTROL." International Journal of Bifurcation and Chaos 12, no. 02 (February 2002): 439–46. http://dx.doi.org/10.1142/s0218127402004450.
Full textWang, Zhen, Yong Xin Li, Xiao Jian Xi, and Xian Feng Wang. "Computional Dynamics for Diffusionless Lorenz Equations with Periodic Parametric Perturbation." Advanced Materials Research 905 (April 2014): 651–54. http://dx.doi.org/10.4028/www.scientific.net/amr.905.651.
Full textUETA, TETSUSHI, GUANRONG CHEN, and TOHRU KAWABE. "A SIMPLE APPROACH TO CALCULATION AND CONTROL OF UNSTABLE PERIODIC ORBITS IN CHAOTIC PIECEWISE-LINEAR SYSTEMS." International Journal of Bifurcation and Chaos 11, no. 01 (January 2001): 215–24. http://dx.doi.org/10.1142/s0218127401002092.
Full textMoroz, Irene M. "Template analysis of a nonlinear dynamo." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2137 (September 14, 2011): 288–302. http://dx.doi.org/10.1098/rspa.2011.0216.
Full textDELEANU, DUMITRU. "STABILIZING THE PERIODIC ORBITS IN A CHAOTIC MAPPING DESCRIBING THE DISCRETE HEALTH SYSTEMS VIA PREDICTION-BASED CONTROL." Journal of marine Technology and Environment 2021, no. 2 (October 1, 2021): 21–26. http://dx.doi.org/10.53464/jmte.02.2021.04.
Full textDeleanu, Dumitru. "Detecting and stabilizing periodic orbits of chaotic Henon map through predictive control." Annals Constanta Maritime University 27, no. 2018 (2018): 73–78. http://dx.doi.org/10.38130/cmu.2067.100/42/12.
Full textZhu, Qunxi, Xin Li, and Wei Lin. "Leveraging neural differential equations and adaptive delayed feedback to detect unstable periodic orbits based on irregularly sampled time series." Chaos: An Interdisciplinary Journal of Nonlinear Science 33, no. 3 (March 2023): 031101. http://dx.doi.org/10.1063/5.0143839.
Full textLee, Byoung-Cheon, Ki-Hak Lee, and Bo-Hyeun Wang. "Control Bifurcation Structure of Return Map Control in Chua's Circuit." International Journal of Bifurcation and Chaos 07, no. 04 (April 1997): 903–9. http://dx.doi.org/10.1142/s0218127497000704.
Full textAKATSU, SATOSHI, HIROYUKI TORIKAI, and TOSHIMICHI SAITO. "ZERO-CROSS INSTANTANEOUS STATE SETTING FOR CONTROL OF A BIFURCATING H-BRIDGE INVERTER." International Journal of Bifurcation and Chaos 17, no. 10 (October 2007): 3571–75. http://dx.doi.org/10.1142/s021812740701938x.
Full textOteski, L., Y. Duguet, and L. R. Pastur. "Lagrangian chaos in confined two-dimensional oscillatory convection." Journal of Fluid Mechanics 759 (October 27, 2014): 489–519. http://dx.doi.org/10.1017/jfm.2014.583.
Full textLEKEBUSCH, A., A. FÖRSTER, and F. W. SCHNEIDER. "CHAOS CONTROL BY ELECTRIC CURRENT IN AN ENZYMATIC REACTION." International Journal of Neural Systems 07, no. 04 (September 1996): 393–97. http://dx.doi.org/10.1142/s0129065796000361.
Full textKazantsev, E. "Sensitivity of the attractor of the barotropic ocean model to external influences: approach by unstable periodic orbits." Nonlinear Processes in Geophysics 8, no. 4/5 (October 31, 2001): 281–300. http://dx.doi.org/10.5194/npg-8-281-2001.
Full textMiino, Yuu, Daisuke Ito, Tetsushi Ueta, and Hiroshi Kawakami. "Locating and Stabilizing Unstable Periodic Orbits Embedded in the Horseshoe Map." International Journal of Bifurcation and Chaos 31, no. 04 (March 30, 2021): 2150110. http://dx.doi.org/10.1142/s0218127421501108.
Full textKatsanikas, M., Víctor J. García-Garrido, and S. Wiggins. "Detection of Dynamical Matching in a Caldera Hamiltonian System Using Lagrangian Descriptors." International Journal of Bifurcation and Chaos 30, no. 09 (July 2020): 2030026. http://dx.doi.org/10.1142/s0218127420300268.
Full textIvan, Cosmin, and Mihai Catalin Arva. "Nonlinear Time Series Analysis in Unstable Periodic Orbits Identification-Control Methods of Nonlinear Systems." Electronics 11, no. 6 (March 18, 2022): 947. http://dx.doi.org/10.3390/electronics11060947.
Full textLucarini, Valerio, and Andrey Gritsun. "A new mathematical framework for atmospheric blocking events." Climate Dynamics 54, no. 1-2 (November 1, 2019): 575–98. http://dx.doi.org/10.1007/s00382-019-05018-2.
Full textKeeler, Jack S., Alice B. Thompson, Grégoire Lemoult, Anne Juel, and Andrew L. Hazel. "The influence of invariant solutions on the transient behaviour of an air bubble in a Hele-Shaw channel." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2232 (December 2019): 20190434. http://dx.doi.org/10.1098/rspa.2019.0434.
Full textEL AROUDI, A., M. DEBBAT, R. GIRAL, G. OLIVAR, L. BENADERO, and E. TORIBIO. "BIFURCATIONS IN DC–DC SWITCHING CONVERTERS: REVIEW OF METHODS AND APPLICATIONS." International Journal of Bifurcation and Chaos 15, no. 05 (May 2005): 1549–78. http://dx.doi.org/10.1142/s0218127405012946.
Full textEccles, F. J. R., P. L. Read, and T. W. N. Haine. "Synchronization and chaos control in a periodically forced quasi-geostrophic two-layer model of baroclinic instability." Nonlinear Processes in Geophysics 13, no. 1 (February 22, 2006): 23–39. http://dx.doi.org/10.5194/npg-13-23-2006.
Full textDong, Chengwei, and Lian Jia. "Periodic orbits analysis for the Zhou system via variational approach." Modern Physics Letters B 33, no. 19 (July 8, 2019): 1950212. http://dx.doi.org/10.1142/s0217984919502129.
Full textSavi, Marcelo A., Francisco Heitor I. Pereira-Pinto, and Armando M. Ferreira. "Chaos Control in Mechanical Systems." Shock and Vibration 13, no. 4-5 (2006): 301–14. http://dx.doi.org/10.1155/2006/545842.
Full textGuha, Anirban, and Firdaus E. Udwadia. "Nonlinear dynamics induced by linear wave interactions in multilayered flows." Journal of Fluid Mechanics 816 (March 6, 2017): 412–27. http://dx.doi.org/10.1017/jfm.2017.84.
Full textSo, Paul. "Unstable periodic orbits." Scholarpedia 2, no. 2 (2007): 1353. http://dx.doi.org/10.4249/scholarpedia.1353.
Full textChizhevsky, V. N., and P. Glorieux. "Targeting unstable periodic orbits." Physical Review E 51, no. 4 (April 1, 1995): R2701—R2704. http://dx.doi.org/10.1103/physreve.51.r2701.
Full textCarpintero, D. D., and J. C. Muzzio. "The Lyapunov exponents and the neighbourhood of periodic orbits." Monthly Notices of the Royal Astronomical Society 495, no. 2 (May 16, 2020): 1608–12. http://dx.doi.org/10.1093/mnras/staa1227.
Full textPawelzik, K., and H. G. Schuster. "Unstable periodic orbits and prediction." Physical Review A 43, no. 4 (February 1, 1991): 1808–12. http://dx.doi.org/10.1103/physreva.43.1808.
Full textKATSANIKAS, M., P. A. PATSIS, and G. CONTOPOULOS. "INSTABILITIES AND STICKINESS IN A 3D ROTATING GALACTIC POTENTIAL." International Journal of Bifurcation and Chaos 23, no. 02 (February 2013): 1330005. http://dx.doi.org/10.1142/s021812741330005x.
Full textKatsanikas, Matthaios, and Stephen Wiggins. "Phase Space Structure and Transport in a Caldera Potential Energy Surface." International Journal of Bifurcation and Chaos 28, no. 13 (December 12, 2018): 1830042. http://dx.doi.org/10.1142/s0218127418300422.
Full textZhang, Yongxiang, and Guanwei Luo. "Detecting unstable periodic orbits and unstable quasiperiodic orbits in vibro-impact systems." International Journal of Non-Linear Mechanics 96 (November 2017): 12–21. http://dx.doi.org/10.1016/j.ijnonlinmec.2017.07.011.
Full textBradley, Elizabeth, and Ricardo Mantilla. "Recurrence plots and unstable periodic orbits." Chaos: An Interdisciplinary Journal of Nonlinear Science 12, no. 3 (September 2002): 596–600. http://dx.doi.org/10.1063/1.1488255.
Full textVoros, A. "Unstable periodic orbits and semiclassical quantisation." Journal of Physics A: Mathematical and General 21, no. 3 (February 7, 1988): 685–92. http://dx.doi.org/10.1088/0305-4470/21/3/023.
Full textPisarchik, A. N. "Dynamical tracking of unstable periodic orbits." Physics Letters A 242, no. 3 (May 1998): 152–62. http://dx.doi.org/10.1016/s0375-9601(98)00210-2.
Full textDana, Itzhack. "Hamiltonian transport on unstable periodic orbits." Physica D: Nonlinear Phenomena 39, no. 2-3 (October 1989): 205–30. http://dx.doi.org/10.1016/0167-2789(89)90005-5.
Full textFazendeiro, L., B. M. Boghosian, P. V. Coveney, and J. Lätt. "Unstable periodic orbits in weak turbulence." Journal of Computational Science 1, no. 1 (May 2010): 13–23. http://dx.doi.org/10.1016/j.jocs.2010.03.004.
Full textKATSANIKAS, M., P. A. PATSIS, and G. CONTOPOULOS. "THE STRUCTURE AND EVOLUTION OF CONFINED TORI NEAR A HAMILTONIAN HOPF BIFURCATION." International Journal of Bifurcation and Chaos 21, no. 08 (August 2011): 2321–30. http://dx.doi.org/10.1142/s0218127411029811.
Full textKAMIYAMA, KYOHEI, MOTOMASA KOMURO, and TETSURO ENDO. "BIFURCATION OF QUASI-PERIODIC OSCILLATIONS IN MUTUALLY COUPLED HARD-TYPE OSCILLATORS: DEMONSTRATION OF UNSTABLE QUASI-PERIODIC ORBITS." International Journal of Bifurcation and Chaos 22, no. 06 (June 2012): 1230022. http://dx.doi.org/10.1142/s0218127412300224.
Full textParker, Jeremy P., and Tobias M. Schneider. "Invariant tori in dissipative hyperchaos." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 11 (November 2022): 113102. http://dx.doi.org/10.1063/5.0119642.
Full textDHAMALA, MUKESHWAR, and YING-CHENG LAI. "THE NATURAL MEASURE OF NONATTRACTING CHAOTIC SETS AND ITS REPRESENTATION BY UNSTABLE PERIODIC ORBITS." International Journal of Bifurcation and Chaos 12, no. 12 (December 2002): 2991–3005. http://dx.doi.org/10.1142/s0218127402006308.
Full textKazantsev, E. "Unstable periodic orbits and attractor of the barotropic ocean model." Nonlinear Processes in Geophysics 5, no. 4 (December 31, 1998): 193–208. http://dx.doi.org/10.5194/npg-5-193-1998.
Full textOGORZAŁEK, MACIEJ J., and ZBIGNIEW GALIAS. "CHARACTERISATION OF CHAOS IN CHUA'S OSCILLATOR IN TERMS OF UNSTABLE PERIODIC ORBITS." Journal of Circuits, Systems and Computers 03, no. 02 (June 1993): 411–29. http://dx.doi.org/10.1142/s0218126693000253.
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