Beljadid, Abdelaziz; Joundy, Youssef; Rouah, Hamza; Taik, Ahmed Transition to chaos in five-dimensional porous-medium thermal-hydrodynamic model with low Prandtl number. (English) Zbl 1493.37104 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2250021, 22 p. (2022). MSC: 37N10 65P20 70K55 65L06 76S05 PDFBibTeX XMLCite \textit{A. Beljadid} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2250021, 22 p. (2022; Zbl 1493.37104) Full Text: DOI
Saha, Sandip; Chakraborty, Sagar; Gangopadhyay, Gautam Suppressing birhythmicity by parametrically modulating nonlinearity in limit cycle oscillators. (English) Zbl 1493.34201 Physica D 416, Article ID 132793, 9 p. (2021). MSC: 34K13 34K27 37C60 PDFBibTeX XMLCite \textit{S. Saha} et al., Physica D 416, Article ID 132793, 9 p. (2021; Zbl 1493.34201) Full Text: DOI arXiv
Medvedsky, A. L.; Meleshenko, P. A.; Nesterov, V. A.; Reshetova, O. O.; Semenov, M. E. Dynamics of hysteretic-related Van-der-Pol oscillators: the small parameter method. (English. Russian original) Zbl 1516.34062 J. Comput. Syst. Sci. Int. 60, No. 4, 511-529 (2021); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2021, No. 4, 7-26 (2021). MSC: 34C15 34E10 34E05 34C25 70K40 34C55 34D06 PDFBibTeX XMLCite \textit{A. L. Medvedsky} et al., J. Comput. Syst. Sci. Int. 60, No. 4, 511--529 (2021; Zbl 1516.34062); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2021, No. 4, 7--26 (2021) Full Text: DOI
Semenov, Mikhail E.; Borzunov, Sergei V.; Meleshenko, Peter A. Stochastic Preisach operator: definition within the design approach. (English) Zbl 1524.60154 Nonlinear Dyn. 101, No. 4, 2599-2614 (2020). MSC: 60H25 34C55 47J40 PDFBibTeX XMLCite \textit{M. E. Semenov} et al., Nonlinear Dyn. 101, No. 4, 2599--2614 (2020; Zbl 1524.60154) Full Text: DOI
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J. Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method. (English) Zbl 1482.34138 Physica D 406, Article ID 132384, 9 p. (2020). MSC: 34E17 37C27 PDFBibTeX XMLCite \textit{A. Algaba} et al., Physica D 406, Article ID 132384, 9 p. (2020; Zbl 1482.34138) Full Text: DOI
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. High-order study of the canard explosion in an aircraft ground dynamics model. (English) Zbl 1459.34133 Nonlinear Dyn. 100, No. 2, 1079-1090 (2020). MSC: 34E17 70K70 PDFBibTeX XMLCite \textit{B.-W. Qin} et al., Nonlinear Dyn. 100, No. 2, 1079--1090 (2020; Zbl 1459.34133) Full Text: DOI
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J. Computation of all the coefficients for the global connections in the \(\mathbb{Z}_2\)-symmetric Takens-Bogdanov normal forms. (English) Zbl 1453.37045 Commun. Nonlinear Sci. Numer. Simul. 81, Article ID 105012, 16 p. (2020). MSC: 37G05 37G40 37C29 PDFBibTeX XMLCite \textit{A. Algaba} et al., Commun. Nonlinear Sci. Numer. Simul. 81, Article ID 105012, 16 p. (2020; Zbl 1453.37045) Full Text: DOI
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. High-order analysis of canard explosion in the Brusselator equations. (English) Zbl 1447.34023 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2050078, 10 p. (2020). MSC: 34A45 34C23 34E17 34C20 34E05 34E10 PDFBibTeX XMLCite \textit{B.-W. Qin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2050078, 10 p. (2020; Zbl 1447.34023) Full Text: DOI
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems. (English) Zbl 1436.34035 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050017, 18 p. (2020). MSC: 34C23 34C05 34C37 34C14 34E10 PDFBibTeX XMLCite \textit{B.-W. Qin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050017, 18 p. (2020; Zbl 1436.34035) Full Text: DOI
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. Analytical approximation of cuspidal loops using a nonlinear time transformation method. (English) Zbl 1433.37019 Appl. Math. Comput. 373, Article ID 125042, 16 p. (2020). MSC: 37C29 34C23 34C37 37G15 PDFBibTeX XMLCite \textit{B.-W. Qin} et al., Appl. Math. Comput. 373, Article ID 125042, 16 p. (2020; Zbl 1433.37019) Full Text: DOI
Borzunov, S. V.; Semenov, M. Y.; Sel’vesyuk, N. I.; Meleshenko, P. A. Hysteretic converters with stochastic parameters. (Russian. English summary) Zbl 1441.93288 Mat. Model. 31, No. 7, 109-126 (2019). MSC: 93E03 PDFBibTeX XMLCite \textit{S. V. Borzunov} et al., Mat. Model. 31, No. 7, 109--126 (2019; Zbl 1441.93288) Full Text: DOI MNR
Rocşoreanu, Carmen; Sterpu, Mihaela Approximations of the heteroclinic orbits near a double-zero bifurcation with symmetry of order two. Application to a Liénard equation. (English) Zbl 1425.34059 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 6, Article ID 1950074, 11 p. (2019). MSC: 34C37 34C05 34C23 34C14 34D10 PDFBibTeX XMLCite \textit{C. Rocşoreanu} and \textit{M. Sterpu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 6, Article ID 1950074, 11 p. (2019; Zbl 1425.34059) Full Text: DOI
Belhaq, Mohamed; Ghouli, Zakaria; Hamdi, Mustapha Energy harvesting in a Mathieu-van der Pol-Duffing MEMS device using time delay. (English) Zbl 1452.70018 Nonlinear Dyn. 94, No. 4, 2537-2546 (2018). MSC: 70K40 70K50 70K43 74F15 PDFBibTeX XMLCite \textit{M. Belhaq} et al., Nonlinear Dyn. 94, No. 4, 2537--2546 (2018; Zbl 1452.70018) Full Text: DOI
Qin, B. W.; Chung, K. W.; Rodríguez-Luis, A. J.; Belhaq, M. Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with \(D_4\) symmetry. (English) Zbl 1397.37022 Chaos 28, No. 9, 093107, 17 p. (2018). MSC: 37C29 37G05 37G15 PDFBibTeX XMLCite \textit{B. W. Qin} et al., Chaos 28, No. 9, 093107, 17 p. (2018; Zbl 1397.37022) Full Text: DOI
Pecora, Nicolò Analysis of 1:4 resonance in a monopoly model with memory. (English) Zbl 1394.91145 Chaos Solitons Fractals 110, 95-104 (2018). MSC: 91B24 37N40 37G15 PDFBibTeX XMLCite \textit{N. Pecora}, Chaos Solitons Fractals 110, 95--104 (2018; Zbl 1394.91145) Full Text: DOI
Rocşoreanu, Carmen; Sterpu, Mihaela Approximations of the homoclinic orbits near a double-zero bifurcation with symmetry of order two. (English) Zbl 1370.34028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750109, 10 p. (2017). MSC: 34A45 34C37 34C20 34C23 PDFBibTeX XMLCite \textit{C. Rocşoreanu} and \textit{M. Sterpu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750109, 10 p. (2017; Zbl 1370.34028) Full Text: DOI
Zhang, Ling-Hao; Wang, Wei Direct approach to detect the heteroclinic bifurcation of the planar nonlinear system. (English) Zbl 1354.37053 Discrete Contin. Dyn. Syst. 37, No. 1, 591-604 (2017). MSC: 37G10 37C29 37L10 PDFBibTeX XMLCite \textit{L.-H. Zhang} and \textit{W. Wang}, Discrete Contin. Dyn. Syst. 37, No. 1, 591--604 (2017; Zbl 1354.37053) Full Text: DOI
Fan, Q.; Leung, A. Y. T.; Lee, Y. Y. Periodic and quasi-periodic responses of van der Pol-Mathieu system subject to various excitations. (English) Zbl 1401.70032 Int. J. Nonlinear Sci. Numer. Simul. 17, No. 1, 29-40 (2016). MSC: 70K30 34C25 PDFBibTeX XMLCite \textit{Q. Fan} et al., Int. J. Nonlinear Sci. Numer. Simul. 17, No. 1, 29--40 (2016; Zbl 1401.70032) Full Text: DOI
Qin, B. W.; Chung, K. W.; Fahsi, A.; Belhaq, M. On the heteroclinic connections in the 1:3 resonance problem. (English) Zbl 1345.34077 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650143, 10 p. (2016). MSC: 34C37 34C23 34C05 34E10 PDFBibTeX XMLCite \textit{B. W. Qin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650143, 10 p. (2016; Zbl 1345.34077) Full Text: DOI
Lu, Lin; Li, Xuemei Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation. (English) Zbl 1388.37068 J. Math. Phys. 56, No. 12, 122703, 18 p. (2015). MSC: 37J40 70H08 70K43 70K70 70K28 PDFBibTeX XMLCite \textit{L. Lu} and \textit{X. Li}, J. Math. Phys. 56, No. 12, 122703, 18 p. (2015; Zbl 1388.37068) Full Text: DOI
Li, Bo; He, Zhimin 1:2 and 1:4 resonances in a two-dimensional discrete Hindmarsh-Rose model. (English) Zbl 1331.92031 Nonlinear Dyn. 79, No. 1, 705-720 (2015). MSC: 92C20 34F15 65L07 37N25 PDFBibTeX XMLCite \textit{B. Li} and \textit{Z. He}, Nonlinear Dyn. 79, No. 1, 705--720 (2015; Zbl 1331.92031) Full Text: DOI
Kirrou, Ilham; Belhaq, Mohamed Effect of contact stiffness modulation in contact-mode AFM under subharmonic excitation. (English) Zbl 1308.74115 Commun. Nonlinear Sci. Numer. Simul. 18, No. 10, 2916-2925 (2013). MSC: 74M15 34C15 34D15 PDFBibTeX XMLCite \textit{I. Kirrou} and \textit{M. Belhaq}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 10, 2916--2925 (2013; Zbl 1308.74115) Full Text: DOI
Hamdi, Mustapha; Belhaq, Mohamed Quasi-periodic oscillation envelopes and frequency locking in rapidly vibrated nonlinear systems with time delay. (English) Zbl 1281.34049 Nonlinear Dyn. 73, No. 1-2, 1-15 (2013). MSC: 34C15 93C80 34C28 34C25 PDFBibTeX XMLCite \textit{M. Hamdi} and \textit{M. Belhaq}, Nonlinear Dyn. 73, No. 1--2, 1--15 (2013; Zbl 1281.34049) Full Text: DOI
Belhaq, Mohamed; Kirrou, Ilham; Mokni, Lahcen Periodic and quasiperiodic galloping of a wind-excited tower under external excitation. (English) Zbl 1279.74010 Nonlinear Dyn. 74, No. 3, 849-867 (2013). MSC: 74F10 34C25 34C27 PDFBibTeX XMLCite \textit{M. Belhaq} et al., Nonlinear Dyn. 74, No. 3, 849--867 (2013; Zbl 1279.74010) Full Text: DOI
Chen, Yang-yang; Yan, Le-wei; Sze, Kam-yim; Chen, Shu-hui Generalized hyperbolic perturbation method for homoclinic solutions of strongly nonlinear autonomous systems. (English) Zbl 1266.34061 Appl. Math. Mech., Engl. Ed. 33, No. 9, 1137-1152 (2012). MSC: 34C15 PDFBibTeX XMLCite \textit{Y.-y. Chen} et al., Appl. Math. Mech., Engl. Ed. 33, No. 9, 1137--1152 (2012; Zbl 1266.34061) Full Text: DOI
Fahsi, Abdelhak; Belhaq, Mohamed Analytical approximation of heteroclinic bifurcation in a 1:4 resonance. (English) Zbl 1258.34090 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250294, 10 p. (2012). MSC: 34C37 34C15 34C23 34E10 PDFBibTeX XMLCite \textit{A. Fahsi} and \textit{M. Belhaq}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250294, 10 p. (2012; Zbl 1258.34090) Full Text: DOI
Mokni, Lahcen; Belhaq, Mohamed Using delayed damping to minimize transmitted vibrations. (English) Zbl 1247.74025 Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1980-1985 (2012). MSC: 74H45 PDFBibTeX XMLCite \textit{L. Mokni} and \textit{M. Belhaq}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1980--1985 (2012; Zbl 1247.74025) Full Text: DOI
Sah, Si Mohamed; Belhaq, Mohamed Control of a delayed limit cycle using the tilt angle of a fast excitation. (English) Zbl 1271.70074 J. Vib. Control 17, No. 2, 175-182 (2011). MSC: 70Q05 70K40 70K60 70K70 PDFBibTeX XMLCite \textit{S. M. Sah} and \textit{M. Belhaq}, J. Vib. Control 17, No. 2, 175--182 (2011; Zbl 1271.70074) Full Text: DOI
Yildirim, Ahmet; Saadatnia, Z.; Askari, H. Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms. (English) Zbl 1225.34044 Math. Comput. Modelling 54, No. 1-2, 697-703 (2011). MSC: 34C15 34A45 PDFBibTeX XMLCite \textit{A. Yildirim} et al., Math. Comput. Modelling 54, No. 1--2, 697--703 (2011; Zbl 1225.34044) Full Text: DOI
Mokni, Lahcen; Belhaq, Mohamed; Lakrad, Faouzi Effect of fast parametric viscous damping excitation on vibration isolation in sdof systems. (English) Zbl 1221.74040 Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1720-1724 (2011). MSC: 74H45 PDFBibTeX XMLCite \textit{L. Mokni} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1720--1724 (2011; Zbl 1221.74040) Full Text: DOI
Bichri, Amine; Belhaq, Mohamed; Perret-Liaudet, Joël Control of vibroimpact dynamics of a single-sided Hertzian contact forced oscillator. (English) Zbl 1215.70016 Nonlinear Dyn. 63, No. 1-2, 51-60 (2011). MSC: 70Q05 70K70 PDFBibTeX XMLCite \textit{A. Bichri} et al., Nonlinear Dyn. 63, No. 1--2, 51--60 (2011; Zbl 1215.70016) Full Text: DOI
Belhaq, Mohamed; Fahsi, Abdelhak Analytics of heteroclinic bifurcation in a \(3:1\) subharmonic resonance. (English) Zbl 1215.37037 Nonlinear Dyn. 62, No. 4, 1001-1008 (2010). MSC: 37G10 34C23 PDFBibTeX XMLCite \textit{M. Belhaq} and \textit{A. Fahsi}, Nonlinear Dyn. 62, No. 4, 1001--1008 (2010; Zbl 1215.37037) Full Text: DOI
Chen, Shuhui; Chen, Yangyang; Sze, Kam Yim Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method. (English) Zbl 1200.37016 Sci. China, Technol. Sci. 53, No. 3, 692-702 (2010). Reviewer: Angela Slavova (Sofia) MSC: 37C29 34C15 37M05 PDFBibTeX XMLCite \textit{S. Chen} et al., Sci. China, Technol. Sci. 53, No. 3, 692--702 (2010; Zbl 1200.37016) Full Text: DOI
Chen, Y. Y.; Chen, S. H.; Sze, K. Y. A hyperbolic Lindstedt-Poincaré method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators. (English) Zbl 1269.70031 Acta Mech. Sin. 25, No. 5, 721-729 (2009). MSC: 70K44 PDFBibTeX XMLCite \textit{Y. Y. Chen} et al., Acta Mech. Sin. 25, No. 5, 721--729 (2009; Zbl 1269.70031) Full Text: DOI
Fahsi, Abdelhak; Belhaq, Mohamed; Lakrad, Faouzi Suppression of hysteresis in a forced Van der Pol-Duffing oscillator. (English) Zbl 1221.34126 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1609-1616 (2009). MSC: 34C55 70K40 PDFBibTeX XMLCite \textit{A. Fahsi} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1609--1616 (2009; Zbl 1221.34126) Full Text: DOI
Fahsi, Abdelhak; Belhaq, Mohamed Hysteresis suppression and synchronization near 3:1 subharmonic resonance. (English) Zbl 1198.34117 Chaos Solitons Fractals 42, No. 2, 1031-1036 (2009). MSC: 34H10 34C10 PDFBibTeX XMLCite \textit{A. Fahsi} and \textit{M. Belhaq}, Chaos Solitons Fractals 42, No. 2, 1031--1036 (2009; Zbl 1198.34117) Full Text: DOI
Belhaq, Mohamed; Fahsi, Abdelhak Hysteresis suppression for primary and subharmonic 3:1 resonances using fast excitation. (English) Zbl 1176.70021 Nonlinear Dyn. 57, No. 1-2, 275-287 (2009). MSC: 70K30 34C55 PDFBibTeX XMLCite \textit{M. Belhaq} and \textit{A. Fahsi}, Nonlinear Dyn. 57, No. 1--2, 275--287 (2009; Zbl 1176.70021) Full Text: DOI
Zhang, Yanmei; Lu, Qishao Homoclinic bifurcation of strongly nonlinear oscillators by frequency-incremental method. (English) Zbl 1027.34053 Commun. Nonlinear Sci. Numer. Simul. 8, No. 1, 1-7 (2003). Reviewer: Alois Steindl (Wien) MSC: 34C37 34C23 65P30 37M20 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Q. Lu}, Commun. Nonlinear Sci. Numer. Simul. 8, No. 1, 1--7 (2003; Zbl 1027.34053) Full Text: DOI
Belhaq, Mohamed; Lakrad, Faouzi Analytics of homoclinic bifurcations in three-dimensional systems. (English) Zbl 1043.37043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 11, 2479-2486 (2002). MSC: 37G20 34C37 PDFBibTeX XMLCite \textit{M. Belhaq} and \textit{F. Lakrad}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 11, 2479--2486 (2002; Zbl 1043.37043) Full Text: DOI
Belhaq, M.; Lakrad, F. Prediction of homoclinic bifurcation: the elliptic averaging method. (English) Zbl 0953.34026 Chaos Solitons Fractals 11, No. 14, 2251-2258 (2000). MSC: 34C23 34C37 34C15 34C29 PDFBibTeX XMLCite \textit{M. Belhaq} and \textit{F. Lakrad}, Chaos Solitons Fractals 11, No. 14, 2251--2258 (2000; Zbl 0953.34026) Full Text: DOI
Belhaq, Mohamed; Houssni, Mohamed Suppression of chaos in a nonlinear oscillator with parametric and external excitation. (English) Zbl 0892.34034 Nonlinear Anal., Theory Methods Appl. 30, No. 8, 5147-5155 (1997). Reviewer: J.Andres (Olomouc) MSC: 34C15 37D45 PDFBibTeX XMLCite \textit{M. Belhaq} and \textit{M. Houssni}, Nonlinear Anal., Theory Methods Appl. 30, No. 8, 5147--5155 (1997; Zbl 0892.34034) Full Text: DOI