Guo, Siyu; Luo, Albert C. J. A parameter study on periodic motions in a discontinuous dynamical system with two circular boundaries. (English) Zbl 1492.37054 Discontin. Nonlinearity Complex. 10, No. 2, 289-309 (2021). MSC: 37G10 34A36 37G15 37C27 70K42 PDFBibTeX XMLCite \textit{S. Guo} and \textit{A. C. J. Luo}, Discontin. Nonlinearity Complex. 10, No. 2, 289--309 (2021; Zbl 1492.37054) Full Text: DOI
Guo, Siyu; Luo, Albert C. J. On existence and bifurcations of periodic motions in discontinuous dynamical systems. (English) Zbl 1464.37051 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 4, Article ID 2150063, 63 p. (2021). MSC: 37G15 37C27 PDFBibTeX XMLCite \textit{S. Guo} and \textit{A. C. J. Luo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 4, Article ID 2150063, 63 p. (2021; Zbl 1464.37051) Full Text: DOI
Li, Liping; Luo, Albert C. J. On periodic solutions of a time-delayed, discontinuous system with a hyperbola switching control law. (English) Zbl 1481.34090 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150032, 15 p. (2021). Reviewer: Vasile Lupulescu (Târgu Jiu) MSC: 34K39 34K13 70K40 PDFBibTeX XMLCite \textit{L. Li} and \textit{A. C. J. Luo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150032, 15 p. (2021; Zbl 1481.34090) Full Text: DOI
Min, Fuhong; Luo, Albert C. J. Periodic and chaotic synchronizations of two distinct dynamical systems under sinusoidal constraints. (English) Zbl 1264.34108 Chaos Solitons Fractals 45, No. 7, 998-1011 (2012). MSC: 34D06 34A36 34C28 PDFBibTeX XMLCite \textit{F. Min} and \textit{A. C. J. Luo}, Chaos Solitons Fractals 45, No. 7, 998--1011 (2012; Zbl 1264.34108) Full Text: DOI
Luo, Albert C. J.; Huang, Jianzhe Discontinuous dynamics of a non-linear, self-excited, friction-induced, periodically forced oscillator. (English) Zbl 1238.70003 Nonlinear Anal., Real World Appl. 13, No. 1, 241-257 (2012). MSC: 70E18 70F40 34A36 34C15 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{J. Huang}, Nonlinear Anal., Real World Appl. 13, No. 1, 241--257 (2012; Zbl 1238.70003) Full Text: DOI
Luo, Albert C. J.; Min, Fuhong Synchronization dynamics of two different dynamical systems. (English) Zbl 1238.37042 Chaos Solitons Fractals 44, No. 6, 362-380 (2011). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37N35 34H10 34D06 37N05 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{F. Min}, Chaos Solitons Fractals 44, No. 6, 362--380 (2011; Zbl 1238.37042) Full Text: DOI
Luo, Albert C. J. On flow barriers and switchability in discontinuous dynamical systems. (English) Zbl 1208.34007 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 1, 1-76 (2011). MSC: 34A36 34D20 34H05 PDFBibTeX XMLCite \textit{A. C. J. Luo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 1, 1--76 (2011; Zbl 1208.34007) Full Text: DOI
Luo, Albert C. J.; Rapp, Brandon M. Sliding and transversal motions on an inclined boundary in a periodically forced discontinuous system. (English) Zbl 1221.70030 Commun. Nonlinear Sci. Numer. Simul. 15, No. 1, 86-98 (2010). MSC: 70K40 34A36 93B12 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{B. M. Rapp}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 1, 86--98 (2010; Zbl 1221.70030) Full Text: DOI
Luo, Albert C. J. A Ying-Yang theory in nonlinear discrete dynamical systems. (English) Zbl 1193.37024 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 4, 1085-1098 (2010). MSC: 37C05 37C25 37G99 PDFBibTeX XMLCite \textit{A. C. J. Luo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 4, 1085--1098 (2010; Zbl 1193.37024) Full Text: DOI
Luo, Albert C. J.; Rapp, Brandon M. On motions and switchability in a periodically forced, discontinuous system with a parabolic boundary. (English) Zbl 1198.37083 Nonlinear Anal., Real World Appl. 11, No. 4, 2624-2633 (2010). Reviewer: Vasile Marinca (Timişoara) MSC: 37G10 37H15 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{B. M. Rapp}, Nonlinear Anal., Real World Appl. 11, No. 4, 2624--2633 (2010; Zbl 1198.37083) Full Text: DOI
Luo, Albert C. J.; Thapa, Sagun Periodic motions in a simplified brake system with a periodic excitation. (English) Zbl 1221.70032 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2389-2414 (2009); corrigendum ibid. 14, No. 7, 3213 (2009). MSC: 70K42 34C25 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{S. Thapa}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2389--2414 (2009; Zbl 1221.70032) Full Text: DOI
Luo, Albert C. J.; Rapp, Brandon M. Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system. (English) Zbl 1168.70011 Nonlinear Anal., Real World Appl. 10, No. 5, 3028-3044 (2009). MSC: 70Q05 70K40 70K50 70K20 70K55 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{B. M. Rapp}, Nonlinear Anal., Real World Appl. 10, No. 5, 3028--3044 (2009; Zbl 1168.70011) Full Text: DOI
Gegg, Brandon C.; Luo, Albert C. J.; Suh, Steve C. Grazing bifurcations of a harmonically excited oscillator moving on a time-varying translation belt. (English) Zbl 1156.70312 Nonlinear Anal., Real World Appl. 9, No. 5, 2156-2174 (2008). MSC: 70K50 37G99 PDFBibTeX XMLCite \textit{B. C. Gegg} et al., Nonlinear Anal., Real World Appl. 9, No. 5, 2156--2174 (2008; Zbl 1156.70312) Full Text: DOI
Luo, Albert C. J.; Gegg, Brandon C. An analytical prediction of sliding motions along discontinuous boundary in non-smooth dynamical systems. (English) Zbl 1181.70029 Nonlinear Dyn. 49, No. 3, 401-424 (2007). MSC: 70K40 70F40 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{B. C. Gegg}, Nonlinear Dyn. 49, No. 3, 401--424 (2007; Zbl 1181.70029) Full Text: DOI
Luo, Albert C. J.; Gegg, Brandon C. Dynamics of a harmonically excited oscillator with dry-friction on a sinusoidally time-varying, traveling surface. (English) Zbl 1140.70471 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 12, 3539-3566 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 70K42 34A36 70F40 70K20 70K50 37G99 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{B. C. Gegg}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 12, 3539--3566 (2006; Zbl 1140.70471) Full Text: DOI
Luo, Albert C. J.; Gegg, Brandon C. Grazing phenomena in a periodically forced, friction-induced, linear oscillator. (English) Zbl 1326.70039 Commun. Nonlinear Sci. Numer. Simul. 11, No. 7, 777-802 (2006). MSC: 70K40 70F40 70K50 34A36 34C15 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{B. C. Gegg}, Commun. Nonlinear Sci. Numer. Simul. 11, No. 7, 777--802 (2006; Zbl 1326.70039) Full Text: DOI