Huang, Shengping; Zhang, Jiacheng; Yang, Jianhua; Liu, Houguang; Sanjuán, Miguel A. F. Logical vibrational resonance in a symmetric bistable system: numerical and experimental studies. (English) Zbl 1515.34038 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107123, 15 p. (2023). MSC: 34C15 34C23 70K40 34F05 34C25 34C14 70K30 PDFBibTeX XMLCite \textit{S. Huang} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107123, 15 p. (2023; Zbl 1515.34038) Full Text: DOI
Coccolo, Mattia; Seoane, Jesús M.; Lenci, Stefano; Sanjuán, Miguel A. F. Fractional damping effects on the transient dynamics of the Duffing oscillator. (English) Zbl 1509.34039 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106959, 15 p. (2023). MSC: 34C15 34A08 37C60 34C28 70K40 34B30 PDFBibTeX XMLCite \textit{M. Coccolo} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106959, 15 p. (2023; Zbl 1509.34039) Full Text: DOI arXiv
Fernández, Diego S.; Seoane, Jesús M.; Sanjuán, Miguel A. F. Weak dissipation drives and enhances Wada basins in three-dimensional chaotic scattering. (English) Zbl 1506.37099 Chaos Solitons Fractals 156, Article ID 111891, 9 p. (2022). MSC: 37M05 37C70 37D45 70K55 65P20 PDFBibTeX XMLCite \textit{D. S. Fernández} et al., Chaos Solitons Fractals 156, Article ID 111891, 9 p. (2022; Zbl 1506.37099) Full Text: DOI arXiv
Nieto, Alexandre R.; Seoane, Jesús M.; Sanjuán, Miguel A. F. Noise activates escapes in closed Hamiltonian systems. (English) Zbl 1485.37058 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106074, 12 p. (2022). MSC: 37J40 37M22 65P20 70K55 PDFBibTeX XMLCite \textit{A. R. Nieto} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106074, 12 p. (2022; Zbl 1485.37058) Full Text: DOI arXiv
Fernández, Diego S.; López, Álvaro G.; Seoane, Jesús M.; Sanjuán, Miguel A. F. Ergodic decay laws in Newtonian and relativistic chaotic scattering. (English) Zbl 1483.37103 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105987, 15 p. (2021). MSC: 37M25 37M05 37J40 70H08 70K55 PDFBibTeX XMLCite \textit{D. S. Fernández} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105987, 15 p. (2021; Zbl 1483.37103) Full Text: DOI arXiv
Cantisán, Julia; Seoane, Jesús M.; Sanjuán, Miguel A. F. Transient dynamics of the Lorenz system with a parameter drift. (English) Zbl 1462.37031 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150029, 13 p. (2021). MSC: 37C60 70K55 70K50 PDFBibTeX XMLCite \textit{J. Cantisán} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150029, 13 p. (2021; Zbl 1462.37031) Full Text: DOI arXiv
Zhang, Jiaqi; Yang, Jianhua; Zhu, Zhencai; Shen, Gang; Sanjuán, Miguel A. F. Effects of different fast periodic excitations on the pitchfork bifurcation and vibrational resonance. (English) Zbl 1473.70054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 6, Article ID 2050092, 14 p. (2020). MSC: 70K50 34C23 37G99 PDFBibTeX XMLCite \textit{J. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 6, Article ID 2050092, 14 p. (2020; Zbl 1473.70054) Full Text: DOI
Cantisán, Julia; Coccolo, Mattia; Seoane, Jesús M.; Sanjuán, Miguel A. F. Delay-induced resonance in the time-delayed Duffing oscillator. (English) Zbl 1443.34069 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2030007, 15 p. (2020). MSC: 34K13 34K18 37C60 70K30 PDFBibTeX XMLCite \textit{J. Cantisán} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2030007, 15 p. (2020; Zbl 1443.34069) Full Text: DOI arXiv
Yang, Jianhua; Huang, Dawen; Sanjuán, Miguel A. F.; Liu, Houguang Vibrational resonance in an overdamped system with a fractional order potential nonlinearity. (English) Zbl 1392.70033 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 7, Article ID 1850082, 12 p. (2018). MSC: 70K30 70K40 PDFBibTeX XMLCite \textit{J. Yang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 7, Article ID 1850082, 12 p. (2018; Zbl 1392.70033) Full Text: DOI
Abirami, Karunanidhi; Rajasekar, S.; Sanjuán, Miguel A. F. Vibrational resonance in a system with a signum nonlinearity. (English) Zbl 1401.70031 Discontin. Nonlinearity Complex. 5, No. 1, 43-58 (2016). MSC: 70K30 PDFBibTeX XMLCite \textit{K. Abirami} et al., Discontin. Nonlinearity Complex. 5, No. 1, 43--58 (2016; Zbl 1401.70031) Full Text: DOI
Zambrano, Samuel; Sanjuán, Miguel A. F. Infinite horseshoes and complex dynamics in physical systems. (English) Zbl 1329.37038 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 866-871 (2015). MSC: 37D45 37D50 70K55 PDFBibTeX XMLCite \textit{S. Zambrano} and \textit{M. A. F. Sanjuán}, Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 866--871 (2015; Zbl 1329.37038) Full Text: DOI
Coccolo, Mattia; Litak, Grzegorz; Seoane, Jesús M.; Sanjuán, Miguel A. F. Optimizing the electrical power in an energy harvesting system. (English) Zbl 1328.70015 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 12, Article ID 1550171, 14 p. (2015). MSC: 70K40 70K28 34C15 PDFBibTeX XMLCite \textit{M. Coccolo} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 12, Article ID 1550171, 14 p. (2015; Zbl 1328.70015) Full Text: DOI
Yang, J. H.; Sanjuán, Miguel A. F.; Tian, F.; Yang, H. F. Saddle-node bifurcation and vibrational resonance in a fractional system with an asymmetric bistable potential. (English) Zbl 1309.34064 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 2, Article ID 1550023, 13 p. (2015). MSC: 34C15 34C23 34A08 70K28 PDFBibTeX XMLCite \textit{J. H. Yang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 2, Article ID 1550023, 13 p. (2015; Zbl 1309.34064) Full Text: DOI
Abirami, K.; Rajasekar, S.; Sanjuan, M. A. F. Vibrational and ghost-vibrational resonances in a modified Chua’s circuit model equation. (English) Zbl 1304.34083 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 11, Article ID 1430031, 16 p. (2014). MSC: 34C60 34A34 34A36 34C25 94C05 70K30 34C55 PDFBibTeX XMLCite \textit{K. Abirami} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 11, Article ID 1430031, 16 p. (2014; Zbl 1304.34083) Full Text: DOI arXiv
Yang, J. H.; Sanjuán, Miguel A. F.; Wang, C. J.; Zhu, H. Vibrational resonance in a Duffing system with a generalized delayed feedback. (English) Zbl 1391.70058 J. Appl. Nonlinear Dyn. 2, No. 4, 397-408 (2013). MSC: 70K30 34A34 34A08 PDFBibTeX XMLCite \textit{J. H. Yang} et al., J. Appl. Nonlinear Dyn. 2, No. 4, 397--408 (2013; Zbl 1391.70058) Full Text: DOI
Litak, Grzegorz; Seoane, Jesús M.; Zambrano, Samuel; Sanjuán, Miguel A. F. Nonlinear response of the mass-spring model with nonsmooth stiffness. (English) Zbl 1270.34129 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 1, Article ID 1250006, 10 p. (2012). MSC: 34C60 34C37 34C28 70K44 34C15 PDFBibTeX XMLCite \textit{G. Litak} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 1, Article ID 1250006, 10 p. (2012; Zbl 1270.34129) Full Text: DOI
Rajasekar, S.; Used, Javier; Wagemakers, Alexandre; Sanjuan, M. A. F. Vibrational resonance in biological nonlinear maps. (English) Zbl 1300.70013 Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3435-3445 (2012). MSC: 70K30 37N25 92C20 34C15 PDFBibTeX XMLCite \textit{S. Rajasekar} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3435--3445 (2012; Zbl 1300.70013) Full Text: DOI
Rajasekar, S.; Abirami, K.; Sanjuan, M. A. F. Novel vibrational resonance in multistable systems. (English) Zbl 1317.34110 Chaos 21, No. 3, 033106, 7 p. (2011). MSC: 34C60 70K30 34C15 70K20 70K50 34C10 PDFBibTeX XMLCite \textit{S. Rajasekar} et al., Chaos 21, No. 3, 033106, 7 p. (2011; Zbl 1317.34110) Full Text: DOI
Jeyakumari, S.; Chinnathambi, V.; Rajasekar, S.; Sanjuan, M. A. F. Vibrational resonance in an asymmetric Duffing oscillator. (English) Zbl 1208.34044 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 1, 275-286 (2011). MSC: 34C15 34C25 70K30 70K40 PDFBibTeX XMLCite \textit{S. Jeyakumari} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 1, 275--286 (2011; Zbl 1208.34044) Full Text: DOI
Rajasekar, S.; Jeyakumari, S.; Chinnathambi, V.; Sanjuan, M. A. F. Role of depth and location of minima of a double-well potential on vibrational resonance. (English) Zbl 1258.70035 J. Phys. A, Math. Theor. 43, No. 46, Article ID 465101, 11 p. (2010). MSC: 70K30 PDFBibTeX XMLCite \textit{S. Rajasekar} et al., J. Phys. A, Math. Theor. 43, No. 46, Article ID 465101, 11 p. (2010; Zbl 1258.70035) Full Text: DOI
Seoane, Jesús M.; Sanjuán, Miguel A. F. Exponential decay and scaling laws in noisy chaotic scattering. (English) Zbl 1217.70020 Phys. Lett., A 372, No. 2, 110-116 (2008). MSC: 70K55 37D45 70H05 34K50 60H40 PDFBibTeX XMLCite \textit{J. M. Seoane} and \textit{M. A. F. Sanjuán}, Phys. Lett., A 372, No. 2, 110--116 (2008; Zbl 1217.70020) Full Text: DOI
Dzhanoev, Arsen R.; Loskutov, Alexander; Cao, Hongjun; Sanjuán, Miguel A. F. A new mechanism of the chaos suppression. (English) Zbl 1133.37010 Discrete Contin. Dyn. Syst., Ser. B 7, No. 2, 275-284 (2007). MSC: 37D45 37N05 70K55 PDFBibTeX XMLCite \textit{A. R. Dzhanoev} et al., Discrete Contin. Dyn. Syst., Ser. B 7, No. 2, 275--284 (2007; Zbl 1133.37010)
Cao, Hongjun; Seoane, Jesús M.; Sanjuán, Miguel A. F. Symmetry-breaking analysis for the general Helmholtz-Duffing oscillator. (English) Zbl 1169.70309 Chaos Solitons Fractals 34, No. 2, 197-212 (2007). MSC: 70K05 34C15 PDFBibTeX XMLCite \textit{H. Cao} et al., Chaos Solitons Fractals 34, No. 2, 197--212 (2007; Zbl 1169.70309) Full Text: DOI
Aguirre, Jacobo; Sanjuán, Miguel A. F. Extremal fractality and classical non-determinism in dynamical systems. (Spanish) Zbl 1221.37059 Gac. R. Soc. Mat. Esp. 9, No. 1, 43-57 (2006). MSC: 37D45 70K55 37F99 30C75 PDFBibTeX XMLCite \textit{J. Aguirre} and \textit{M. A. F. Sanjuán}, Gac. R. Soc. Mat. Esp. 9, No. 1, 43--57 (2006; Zbl 1221.37059) Full Text: EuDML
Almendral, Juan A.; Sanjuán, Miguel A. F. Integrability and symmetries for the Helmholtz oscillator with friction. (English) Zbl 1066.70015 J. Phys. A, Math. Gen. 36, No. 3, 695-710 (2003). MSC: 70K55 70K40 70G65 70H06 70F40 PDFBibTeX XMLCite \textit{J. A. Almendral} and \textit{M. A. F. Sanjuán}, J. Phys. A, Math. Gen. 36, No. 3, 695--710 (2003; Zbl 1066.70015) Full Text: DOI Link
Trueba, J. L.; Baltanás, J. P.; Sanjuán, M. A. F. A generalized perturbed pendulum. (English) Zbl 1065.70013 Chaos Solitons Fractals 15, No. 5, 911-924 (2003). MSC: 70K40 70K55 70K60 PDFBibTeX XMLCite \textit{J. L. Trueba} et al., Chaos Solitons Fractals 15, No. 5, 911--924 (2003; Zbl 1065.70013) Full Text: DOI
Sanjuán, Miguel A. F. The effect of nonlinear damping on the universal escape oscillator. (English) Zbl 0977.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 4, 735-744 (1999). Reviewer: Antonio Cañada (Granada) MSC: 34C37 37G15 70K50 34C15 PDFBibTeX XMLCite \textit{M. A. F. Sanjuán}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 4, 735--744 (1999; Zbl 0977.34041) Full Text: DOI
Sanjuán, Miguel A. F. Subharmonic bifurcations in a pendulum parametrically excited by a non-harmonic perturbation. (English) Zbl 0990.70017 Chaos Solitons Fractals 9, No. 6, 995-1003 (1998). Reviewer: Boris V.Loginov (Ankara) MSC: 70K50 70K44 PDFBibTeX XMLCite \textit{M. A. F. Sanjuán}, Chaos Solitons Fractals 9, No. 6, 995--1003 (1998; Zbl 0990.70017) Full Text: DOI
Sanjuan, Miguel A. F. Symmetry-restoring crises, period-adding and chaotic transitions in the cubic van der Pol oscillator. (English) Zbl 1232.70027 J. Sound Vib. 193, No. 4, 863-875 (1996). MSC: 70K40 PDFBibTeX XMLCite \textit{M. A. F. Sanjuan}, J. Sound Vib. 193, No. 4, 863--875 (1996; Zbl 1232.70027) Full Text: DOI
Sanjuán, Miguel A. F. Remarks on transitions order-chaos induced by the shape of the periodic excitation in a parametric pendulum. (English) Zbl 1080.70535 Chaos Solitons Fractals 7, No. 3, 435-440 (1996). MSC: 70K55 70K40 37N05 PDFBibTeX XMLCite \textit{M. A. F. Sanjuán}, Chaos Solitons Fractals 7, No. 3, 435--440 (1996; Zbl 1080.70535) Full Text: DOI