Journal articles on the topic 'Bifurcation'
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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 textXu, Changjin, Maoxin Liao, and Xiaofei He. "Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays." International Journal of Applied Mathematics and Computer Science 21, no. 1 (March 1, 2011): 97–107. http://dx.doi.org/10.2478/v10006-011-0007-0.
Full textWang, Shaoli, and Zhihao Ge. "The Hopf Bifurcation for a Predator-Prey System with -Logistic Growth and Prey Refuge." Abstract and Applied Analysis 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/168340.
Full textAstakhov, Sergey, Oleg Astakhov, Vladimir Astakhov, and Jürgen Kurths. "Bifurcational Mechanism of Multistability Formation and Frequency Entrainment in a van der Pol Oscillator with an Additional Oscillatory Circuit." International Journal of Bifurcation and Chaos 26, no. 07 (June 30, 2016): 1650124. http://dx.doi.org/10.1142/s0218127416501248.
Full textXu, Changjin. "Bifurcation Analysis for a Predator-Prey Model with Time Delay and Delay-Dependent Parameters." Abstract and Applied Analysis 2012 (2012): 1–20. http://dx.doi.org/10.1155/2012/264870.
Full textWANG, HUAILEI, and HAIYAN HU. "BIFURCATION ANALYSIS OF A DELAYED DYNAMIC SYSTEM VIA METHOD OF MULTIPLE SCALES AND SHOOTING TECHNIQUE." International Journal of Bifurcation and Chaos 15, no. 02 (February 2005): 425–50. http://dx.doi.org/10.1142/s0218127405012326.
Full textLiu, Ping, Junping Shi, Rui Wang, and Yuwen Wang. "Bifurcation Analysis of a Generic Reaction–Diffusion Turing Model." International Journal of Bifurcation and Chaos 24, no. 04 (April 2014): 1450042. http://dx.doi.org/10.1142/s0218127414500424.
Full textLIU, JIANXIN, and JUNJIE WEI. "ON HOPF BIFURCATION OF A DELAYED PREDATOR–PREY SYSTEM WITH DIFFUSION." International Journal of Bifurcation and Chaos 23, no. 02 (February 2013): 1350023. http://dx.doi.org/10.1142/s0218127413500235.
Full textLiu, Qingsong, Yiping Lin, and Jingnan Cao. "Global Hopf Bifurcation on Two-Delays Leslie-Gower Predator-Prey System with a Prey Refuge." Computational and Mathematical Methods in Medicine 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/619132.
Full textNiu, Ben, Yuxiao Guo, and Yanfei Du. "Hopf Bifurcation Induced by Delay Effect in a Diffusive Tumor-Immune System." International Journal of Bifurcation and Chaos 28, no. 11 (October 2018): 1850136. http://dx.doi.org/10.1142/s0218127418501365.
Full textBılazeroğlu, Şeyma, Huseyin Merdan, and Luca Guerrini. "Hopf bifurcations of a Lengyel-Epstein model involving two discrete time delays." Discrete & Continuous Dynamical Systems - S 15, no. 3 (2022): 535. http://dx.doi.org/10.3934/dcdss.2021150.
Full textJiang, Jiao, and Yongli Song. "Bifurcation Analysis and Spatiotemporal Patterns of Nonlinear Oscillations in a Ring Lattice of Identical Neurons with Delayed Coupling." Abstract and Applied Analysis 2014 (2014): 1–18. http://dx.doi.org/10.1155/2014/368652.
Full textXu, Changjin, and Xiaofei He. "Stability and Bifurcation Analysis in a Class of Two-Neuron Networks with Resonant Bilinear Terms." Abstract and Applied Analysis 2011 (2011): 1–21. http://dx.doi.org/10.1155/2011/697630.
Full textXu, Changjin, and Peiluan Li. "Dynamical Analysis in a Delayed Predator-Prey Model with Two Delays." Discrete Dynamics in Nature and Society 2012 (2012): 1–22. http://dx.doi.org/10.1155/2012/652947.
Full textGUO, SHANGJIANG, and YUAN YUAN. "PATTERN FORMATION IN A RING NETWORK WITH DELAY." Mathematical Models and Methods in Applied Sciences 19, no. 10 (October 2009): 1797–852. http://dx.doi.org/10.1142/s0218202509004005.
Full textZhang, Yan, and Zhenhua Bao. "Studies on the Existence of Unstable Oscillatory Patterns Bifurcating from Hopf Bifurcations in a Turing Model." Journal of Applied Mathematics 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/574921.
Full textZHANG, JIA-FANG, WAN-TONG LI, and XIANG-PING YAN. "BIFURCATION AND SPATIOTEMPORAL PATTERNS IN A HOMOGENEOUS DIFFUSION-COMPETITION SYSTEM WITH DELAYS." International Journal of Biomathematics 05, no. 06 (August 22, 2012): 1250049. http://dx.doi.org/10.1142/s1793524512500490.
Full textZhusubaliyev, Zhanybai T., Ulanbek A. Sopuev, Dmitry A. Bushuev, Andrey S. Kucherov, and Aitibek Z. Abdirasulov. "On bifurcations of chaotic attractors in a pulse width modulated control system." Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes 20, no. 1 (2024): 62–78. http://dx.doi.org/10.21638/11701/spbu10.2024.106.
Full textYao, Yong, Zuxiong Li, Huili Xiang, Hailing Wang, and Zhijun Liu. "Hopf bifurcation analysis in a turbidostat model with Beddington–DeAngelis functional response and discrete delay." International Journal of Biomathematics 10, no. 05 (May 9, 2017): 1750061. http://dx.doi.org/10.1142/s1793524517500619.
Full textYang, Xinchao, Xiju Zong, Xingong Cheng, and Zhenlai Han. "Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection." Journal of Applied Mathematics 2013 (2013): 1–15. http://dx.doi.org/10.1155/2013/875783.
Full textJiang, Chu-Yang, and Hsiao-Dong Chiang. "Pseudo-Pitchfork Bifurcation of Feasible Regions in Power Systems." International Journal of Bifurcation and Chaos 28, no. 01 (January 2018): 1830002. http://dx.doi.org/10.1142/s0218127418300021.
Full textWEI, JUNJIE, and DEJUN FAN. "HOPF BIFURCATION ANALYSIS IN A MACKEY–GLASS SYSTEM." International Journal of Bifurcation and Chaos 17, no. 06 (June 2007): 2149–57. http://dx.doi.org/10.1142/s0218127407018282.
Full textLiu, Ming, and Xiaofeng Xu. "Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation." Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/367589.
Full textLiu, Yi Jing, Zhi Shu Li, Xiao Mei Cai, and Ya Lan Ye. "Local Stability and Hopf Bifurcation Analysis of the Arneodo’s System." Applied Mechanics and Materials 130-134 (October 2011): 2550–57. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.2550.
Full textXUEJUN, GAO. "BIFURCATION BEHAVIORS OF THE TWO-STATE VARIABLE FRICTION LAW OF A ROCK MASS SYSTEM." International Journal of Bifurcation and Chaos 23, no. 11 (November 2013): 1350184. http://dx.doi.org/10.1142/s0218127413501848.
Full textALGABA, A., M. MERINO, E. FREIRE, E. GAMERO, and A. J. RODRÍGUEZ-LUIS. "ON THE HOPF–PITCHFORK BIFURCATION IN THE CHUA'S EQUATION." International Journal of Bifurcation and Chaos 10, no. 02 (February 2000): 291–305. http://dx.doi.org/10.1142/s0218127400000190.
Full textChang, Yu, Xiaoli Wang, and Dashun Xu. "Bifurcation Analysis of a Power System Model with Three Machines and Four Buses." International Journal of Bifurcation and Chaos 26, no. 05 (May 2016): 1650082. http://dx.doi.org/10.1142/s0218127416500826.
Full textYAN, XIANG-PING, and WAN-TONG LI. "STABILITY AND HOPF BIFURCATION FOR A DELAYED COOPERATIVE SYSTEM WITH DIFFUSION EFFECTS." International Journal of Bifurcation and Chaos 18, no. 02 (February 2008): 441–53. http://dx.doi.org/10.1142/s0218127408020434.
Full textZhou, Xiaojian, Xin Chen, and Yongzhong Song. "Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay." Journal of Applied Mathematics 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/768364.
Full textWang, Hong Yan, and Hong Mei Wang. "Stability and Bifurcation Analysis in a Stage-Structured Predator-Prey Model with Delay." Applied Mechanics and Materials 513-517 (February 2014): 3723–27. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.3723.
Full textGuo, Yuxiao, and Weihua Jiang. "Hopf Bifurcation in Two Groups of Delay-Coupled Kuramoto Oscillators." International Journal of Bifurcation and Chaos 25, no. 10 (September 2015): 1550129. http://dx.doi.org/10.1142/s0218127415501291.
Full textZeng, Bing, and Pei Yu. "Analysis of Zero-Hopf Bifurcation in Two Rössler Systems Using Normal Form Theory." International Journal of Bifurcation and Chaos 30, no. 16 (December 28, 2020): 2030050. http://dx.doi.org/10.1142/s0218127420300505.
Full textLIU, JUNLI, and TAILEI ZHANG. "HOPF BIFURCATION AND STABILITY ANALYSIS FOR A STAGE-STRUCTURED SYSTEM." International Journal of Biomathematics 03, no. 01 (March 2010): 21–41. http://dx.doi.org/10.1142/s1793524510000830.
Full textWei, Junjie, and Chunbo Yu. "Hopf bifurcation analysis in a model of oscillatory gene expression with delay." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139, no. 4 (July 8, 2009): 879–95. http://dx.doi.org/10.1017/s0308210507000091.
Full textROCŞOREANU, CARMEN, NICOLAIE GIURGIŢEANU, and ADELINA GEORGESCU. "CONNECTIONS BETWEEN SADDLES FOR THE FITZHUGH–NAGUMO SYSTEM." International Journal of Bifurcation and Chaos 11, no. 02 (February 2001): 533–40. http://dx.doi.org/10.1142/s0218127401002213.
Full textTURAEV, D. "ON DIMENSION OF NON-LOCAL BIFURCATIONAL PROBLEMS." International Journal of Bifurcation and Chaos 06, no. 05 (May 1996): 919–48. http://dx.doi.org/10.1142/s0218127496000515.
Full textZhang, Huayong, Shengnan Ma, Tousheng Huang, Xuebing Cong, Zichun Gao, and Feifan Zhang. "Complex Dynamics on the Routes to Chaos in a Discrete Predator-Prey System with Crowley-Martin Type Functional Response." Discrete Dynamics in Nature and Society 2018 (2018): 1–18. http://dx.doi.org/10.1155/2018/2386954.
Full textLi, Changzhao, and Hui Fang. "Stochastic Bifurcations of Group-Invariant Solutions for a Generalized Stochastic Zakharov–Kuznetsov Equation." International Journal of Bifurcation and Chaos 31, no. 03 (March 15, 2021): 2150040. http://dx.doi.org/10.1142/s0218127421500401.
Full textXIAO, DONGMEI, and SHIGUI RUAN. "CODIMENSION TWO BIFURCATIONS IN A PREDATOR–PREY SYSTEM WITH GROUP DEFENSE." International Journal of Bifurcation and Chaos 11, no. 08 (August 2001): 2123–31. http://dx.doi.org/10.1142/s021812740100336x.
Full textAFRAIMOVICH, V. S., and M. A. SHERESHEVSKY. "THE HAUSDORFF DIMENSION OF ATTRACTORS APPEARING BY SADDLE-NODE BIFURCATIONS." International Journal of Bifurcation and Chaos 01, no. 02 (June 1991): 309–25. http://dx.doi.org/10.1142/s0218127491000233.
Full textFan, Li, and Sanyi Tang. "Global Bifurcation Analysis of a Population Model with Stage Structure and Beverton–Holt Saturation Function." International Journal of Bifurcation and Chaos 25, no. 12 (November 2015): 1550170. http://dx.doi.org/10.1142/s0218127415501709.
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