Academic literature on the topic 'Bifurcation'
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Journal articles on the topic "Bifurcation"
Liu, Ping, and Junping Shi. "A degenerate bifurcation from simple eigenvalue theorem." Electronic Research Archive 30, no. 1 (2021): 116–25. http://dx.doi.org/10.3934/era.2022006.
Full textAizawa, H., K. Ikeda, M. Osawa, and J. M. Gaspar. "Breaking and Sustaining Bifurcations in SN-Invariant Equidistant Economy." International Journal of Bifurcation and Chaos 30, no. 16 (December 28, 2020): 2050240. http://dx.doi.org/10.1142/s0218127420502405.
Full textChien, C. S., Z. Mei, and C. L. Shen. "Numerical Continuation at Double Bifurcation Points of a Reaction–Diffusion Problem." International Journal of Bifurcation and Chaos 08, no. 01 (January 1998): 117–39. http://dx.doi.org/10.1142/s0218127498000097.
Full textXu, Chaoqun, and Sanling Yuan. "Spatial Periodic Solutions in a Delayed Diffusive Predator–Prey Model with Herd Behavior." International Journal of Bifurcation and Chaos 25, no. 11 (October 2015): 1550155. http://dx.doi.org/10.1142/s0218127415501552.
Full textLi, Wei, Chunrui Zhang, and Mi Wang. "Analysis of the Dynamical Properties of Discrete Predator-Prey Systems with Fear Effects and Refuges." Discrete Dynamics in Nature and Society 2024 (May 11, 2024): 1–18. http://dx.doi.org/10.1155/2024/9185585.
Full textYan, Xiang-Ping, and Wan-Tong Li. "Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays." Discrete Dynamics in Nature and Society 2006 (2006): 1–18. http://dx.doi.org/10.1155/ddns/2006/57254.
Full textCai, Yongli, Zhanji Gui, Xuebing Zhang, Hongbo Shi, and Weiming Wang. "Bifurcations and Pattern Formation in a Predator–Prey Model." International Journal of Bifurcation and Chaos 28, no. 11 (October 2018): 1850140. http://dx.doi.org/10.1142/s0218127418501407.
Full textZhai, Yanhui, Ying Xiong, Xiaona Ma, and Haiyun Bai. "Global Hopf Bifurcation Analysis for an Avian Influenza Virus Propagation Model with Nonlinear Incidence Rate and Delay." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/242410.
Full textSONG, YONGLI, JUNJIE WEI, and MAOAN HAN. "LOCAL AND GLOBAL HOPF BIFURCATION IN A DELAYED HEMATOPOIESIS MODEL." International Journal of Bifurcation and Chaos 14, no. 11 (November 2004): 3909–19. http://dx.doi.org/10.1142/s0218127404011697.
Full textZhuang, Xiaolan, Qi Wang, and Jiechang Wen. "Numerical Dynamics of Nonstandard Finite Difference Method for Nonlinear Delay Differential Equation." International Journal of Bifurcation and Chaos 28, no. 11 (October 2018): 1850133. http://dx.doi.org/10.1142/s021812741850133x.
Full textDissertations / Theses on the topic "Bifurcation"
Henderson, Michael E. Keller Herbert Bishop Keller Herbert Bishop. "Complex bifurcation /." Diss., Pasadena, Calif. : California Institute of Technology, 1985. http://resolver.caltech.edu/CaltechETD:etd-03262008-112516.
Full textSalih, Rizgar Haji. "Hopf bifurcation and centre bifurcation in three dimensional Lotka-Volterra systems." Thesis, University of Plymouth, 2015. http://hdl.handle.net/10026.1/3504.
Full textBinks, Douglas John. "Bifurcation phenomena in nematodynamics." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.306928.
Full textTaverner, S. "Bifurcation in physical systems." Thesis, University of Oxford, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.375327.
Full textImpey, M. D. "Bifurcation in Lapwood convection." Thesis, University of Bristol, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.234799.
Full textArakawa, Vinicius Augusto Takahashi. "Um estudo de bifurcações de codimensão dois de campos de vetores /." São José do Rio Preto : [s.n.], 2008. http://hdl.handle.net/11449/94243.
Full textBanca: João Carlos da Rocha Medrado
Banca: Luciana de Fátima Martins
Resumo: Nesse trabalho são apresentados alguns resultados importantes sobre bifurcações de codimensão dois de campos de vetores. O resultado principal dessa dissertação e o teorema que d a o diagrama de bifurcação e os retratos de fase da Bifurcação de Bogdanov-Takens. Para a demonstracão são usadas algumas técnicas basicas de Sistemas Dinâmicos e Teoria das Singularidades, tais como Integrais Abelianas, desdobramentos de Sistemas Hamiltonianos, desdobramentos versais, Teorema de Preparação de Malgrange, entre outros. Outra importante bifurcação clássica apresentada e a Bifurca cão do tipo Hopf-Zero, quando a matriz Jacobiana possui um autovalor simples nulo e um par de autovalores imagin arios puros. Foram usadas algumas hipóteses que garantem propriedades de simetria do sistema, dentre elas, assumiuse que o sistema era revers vel. Assim como na Bifurcação de Bogdanov-Takens, foram apresentados o diagrama de bifurcao e os retratos de fase da Bifurcação Hopf-zero bifurcação reversível. As técnicas usadas para esse estudo foram a forma normal de Belitskii e o método do Blow-up polar.
Abstract: In this work is presented some important results about codimension two bifurcations of vector elds. The main result of this work is the theorem that gives the local bifurcation diagram and the phase portraits of the Bogdanov-Takens bifurcation. In order to give the proof, some classic tools in Dynamical System and Singularities Theory are used, such as Abelian Integral, versal deformation, Hamiltonian Systems, Malgrange Preparation Theorem, etc. Another classic bifurcation phenomena, known as the Hopf-Zero bifurcation, when the Jacobian matrix has a simple zero and a pair of purely imaginary eigenvalues, is presented. In here, is added the hypothesis that the system is reversible, which gives some symmetry in the problem. Like in Bogdanov-Takens bifurcation, the bifurcation diagram and the local phase portraits of the reversible Hopf-zero bifurcation were presented. The main techniques used are the Belitskii theory to nd a normal forms and the polar Blow-up method.
Mestre
Jones, Mark C. W. "The bifurcation and secondary bifurcation of capillary-gravity waves in the presence of symmetry." Thesis, University of Bath, 1986. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.370986.
Full textGaunersdorfer, Andrea, Cars H. Hommes, and Florian O. O. Wagener. "Bifurcation routes to volatility clustering." SFB Adaptive Information Systems and Modelling in Economics and Management Science, WU Vienna University of Economics and Business, 2000. http://epub.wu.ac.at/522/1/document.pdf.
Full textSeries: Working Papers SFB "Adaptive Information Systems and Modelling in Economics and Management Science"
Fujihira, Takeo. "Hamiltonian Hopf bifurcation with symmetry." Thesis, Imperial College London, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444087.
Full textDuka, E. D. "Bifurcation problems in finite elasticity." Thesis, University of Nottingham, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.384747.
Full textBooks on the topic "Bifurcation"
Hazewinkel, M., R. Jurkovich, and J. H. P. Paelinck, eds. Bifurcation Analysis. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-6239-2.
Full textKielhöfer, Hansjörg. Bifurcation Theory. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-0502-3.
Full textWaksman, Ron, and John A. Ormiston, eds. Bifurcation Stenting. Chichester, UK: John Wiley & Sons, Ltd, 2012. http://dx.doi.org/10.1002/9781444347005.
Full textChen, Guanrong, David J. Hill, and Xinghuo Yu, eds. Bifurcation Control. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/b79665.
Full textKielhöfer, Hansjörg. Bifurcation Theory. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/b97365.
Full textTanyi, G. E. Causality & bifurcation. Yaounde, Cameroon: Afromatics, 1987.
Find full textWaksman, Ron. Bifurcation stenting. Chichester, West Sussex, UK: Wiley-Blackwell, 2012.
Find full textGolubitsky, Martin, and John M. Guckenheimer, eds. Multiparameter Bifurcation Theory. Providence, Rhode Island: American Mathematical Society, 1986. http://dx.doi.org/10.1090/conm/056.
Full textAllgower, Eugene L., Klaus Böhmer, and Martin Golubitsky, eds. Bifurcation and Symmetry. Basel: Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-7536-3.
Full textLiebscher, Stefan. Bifurcation without Parameters. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-10777-6.
Full textBook chapters on the topic "Bifurcation"
Borja, Ronaldo I. "Bifurcation." In Plasticity, 207–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38547-6_9.
Full textDeimling, Klaus. "Bifurcation." In Nonlinear Functional Analysis, 378–425. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-00547-7_10.
Full textZhou, Tianshou. "Bifurcation." In Encyclopedia of Systems Biology, 79–86. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-9863-7_500.
Full textZobitz, John M. "Bifurcation." In Exploring Modeling with Data and Differential Equations Using R, 251–62. Boca Raton: Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003286974-20.
Full textChicone, Carmen. "Bifurcation." In Texts in Applied Mathematics, 623–91. Cham: Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-51652-8_11.
Full textBarnett, William, and Gennady Cymbalyuk. "Bifurcation Analysis." In Encyclopedia of Computational Neuroscience, 366–71. New York, NY: Springer New York, 2015. http://dx.doi.org/10.1007/978-1-4614-6675-8_156.
Full textLynch, Stephen. "Bifurcation Theory." In Dynamical Systems with Applications using MAPLE, 105–17. Boston, MA: Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4899-2849-8_8.
Full textLynch, Stephen. "Bifurcation Theory." In Dynamical Systems with Applications Using Mathematica®, 135–53. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61485-4_7.
Full textLynch, Stephen. "Bifurcation Theory." In Dynamical Systems with Applications using Maple¿, 129–45. Boston: Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4605-9_7.
Full textArnold, Ludwig. "Bifurcation Theory." In Springer Monographs in Mathematics, 465–531. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-12878-7_9.
Full textConference papers on the topic "Bifurcation"
Lin, Guojian, Balakumar Balachandran, and Eyad H. Abed. "Bifurcation Behavior of a Supercavitating Vehicle." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14052.
Full textWu, Z. Q., and P. Yu. "Bifurcation Control of Ro¨ssler System." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-55035.
Full textRamuzat, A., H. Richard, and M. L. Riethmuller. "Unsteady Flows Within a 2D Model of Multiple Lung Bifurcations." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0363.
Full textPak, C. H., and Y. S. Choi. "On the Sensitivity of Non-Generic Bifurcation of Non-Linear Normal Modes." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34217.
Full textBurgner, Chris, Kimberly Turner, Nick Miller, and Steve Shaw. "Noise Squeezing Control for Bifurcation Sensing in MEMS." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47461.
Full textIkeda, Takashi. "Bifurcation Phenomena Caused by Two Nonlinear Dynamic Absorbers." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34714.
Full textHoi, Yiemeng, Bruce A. Wasserman, and David A. Steinman. "Normal Carotid Bifurcation Hemodynamics in Older Adults: Effect of Measured vs. Allometrically-Scaled Flow Rate Boundary Conditions." In ASME 2009 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2009. http://dx.doi.org/10.1115/sbc2009-203639.
Full textGuo, Siyu, and Albert C. J. Luo. "Period-1 to Period-2 Motions in a Discontinuous Oscillator." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22712.
Full textYamaguchi, Ryuhei, Kazuki Okada, and Tomohiko Ikeda. "Sinusoidal Oscillating Flow Through Asymmetrical Bifurcation." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-1175.
Full textWang, Yuefang, Lefeng Lu¨, and Yingxi Liu. "On Multiple Hopf Bifurcations of Airflow Excited Vibration of a Translating String." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34451.
Full textReports on the topic "Bifurcation"
Abed, Eyad H. Local Bifurcation Control,. Fort Belvoir, VA: Defense Technical Information Center, January 1987. http://dx.doi.org/10.21236/ada187435.
Full textCrawford, J., C. Kueny, B. Saphir, and B. Shadwick. Introduction to bifurcation theory. Office of Scientific and Technical Information (OSTI), November 1989. http://dx.doi.org/10.2172/5396551.
Full textAbed, E. H., J. H. Fu, H. C. Lee, and D. C. Liaw. Bifurcation Control of Nonlinear Systems. Fort Belvoir, VA: Defense Technical Information Center, January 1990. http://dx.doi.org/10.21236/ada444561.
Full textWang, Hua O., and Eyad H. Abed. Bifurcation Control of Chaotic Dynamical Systems. Fort Belvoir, VA: Defense Technical Information Center, June 1992. http://dx.doi.org/10.21236/ada454958.
Full textRosenblat, S. Bifurcation and Stability of Complex Flows. Fort Belvoir, VA: Defense Technical Information Center, October 1985. http://dx.doi.org/10.21236/ada161405.
Full textMarsden, J. E., and T. S. Ratiu. Stability, bifurcation, and control of Hamiltonian systems. Office of Scientific and Technical Information (OSTI), April 1993. http://dx.doi.org/10.2172/10142335.
Full textMarsden, J. E., and T. S. Ratiu. Stability, bifurcation, and control of Hamiltonian systems. Office of Scientific and Technical Information (OSTI), January 1993. http://dx.doi.org/10.2172/6642330.
Full textMittelmann, Hans D. Continuation and Multi-Grid for Bifurcation Problems. Fort Belvoir, VA: Defense Technical Information Center, December 1993. http://dx.doi.org/10.21236/ada274965.
Full textKim, Taihyun, and Eyad H. Abed. Stationary Bifurcation Control for Systems with Uncontrollable Linearization. Fort Belvoir, VA: Defense Technical Information Center, January 1999. http://dx.doi.org/10.21236/ada438515.
Full textHealy, Timothy J. Symmetry and Global Bifurcation in Nonlinear Solid Mechanics. Fort Belvoir, VA: Defense Technical Information Center, November 1987. http://dx.doi.org/10.21236/ada190521.
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