# zbMATH — the first resource for mathematics

## Luo, Albert C. J.

Compute Distance To:
 Author ID: luo.albert-c-j Published as: Luo, Albert C. J.; Luo, A. C. J. Homepage: https://www.siue.edu/engineering/me/people/faculty/dr_albert_c_j_luo.shtml External Links: Wikidata · ResearchGate · dblp · GND
 Documents Indexed: 170 Publications since 1992, including 34 Books
all top 5

#### Co-Authors

 58 single-authored 10 Min, Fuhong 9 Gegg, Brandon C. 9 Han, Ray P. S. 7 Guo, Yu 6 Huang, Jianzhe 6 Xing, Siyuan 5 Machado, José António Tenreiro 4 Băleanu, Dumitru I. 4 Guo, Siyu 4 O’Connor, Dennis M. 4 Suh, Steve C. S. 3 Afraimovich, Valentin S. 3 Gu, Keqin 3 Jin, Hanxiang 3 Li, Liping 3 Mote, C. D. jun. 3 Rapp, Brandon M. 3 Xu, Yeyin 2 Chen, Zhaobo 2 Hamidzadeh, Hamid R. 2 Lu, Jia 2 Menon, Santhosh 2 Saniei, Nader 2 Sun, Jianqiao 2 Tan, Chin An 2 Thapa, Sagun 2 Wang, Yang 2 Yang, Guolai 1 Barbosa, Ramiro S. 1 Chen, Lidi 1 Dai, Liming 1 Figueiredo, Lino B. 1 Fu, Xilin 1 García Guirao, Juan Luis 1 Han, Qinglong 1 Hang, Zianzhe 1 López, Miguel Ángel 1 Mao, Tingting 1 Merdan, Hüseyin 1 Misra, Arun K. 1 Modi, Vinod J. 1 Mosadman, Mozhdeh S. Faraji 1 Niculescu, Silviu-Iulian 1 Oh, Hyounkyun 1 Rajendran, Arun 1 Silva, Manuel F. 1 Suh, Steve S. 1 Tyc, G. 1 Wang, Fengxia 1 Wang, Yuefang 1 Xiang, Yumin 1 Xue, Bing
all top 5

#### Serials

 30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 27 Communications in Nonlinear Science and Numerical Simulation 17 Chaos, Solitons and Fractals 10 Nonlinear Systems and Complexity 8 Nonlinear Physical Science 7 Journal of Sound and Vibration 7 Nonlinear Dynamics 5 Nonlinear Analysis. Real World Applications 5 Discontinuity, Nonlinearity, and Complexity 3 Journal of Hydrodynamics. Ser. B 3 Journal of Vibration and Control 3 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Applied Nonlinear Dynamics 2 Synthesis Lectures on Mechanical Engineering 2 Mathematical Methods and Modeling 1 Computers & Mathematics with Applications 1 International Journal of Control 1 International Journal of Solids and Structures 1 Journal of Applied Mechanics 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Journal of Guidance, Control and Dynamics 1 The Canadian Applied Mathematics Quarterly 1 Mathematical Problems in Engineering 1 Chaos 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of Computational Methods in Sciences and Engineering 1 Nonlinear Analysis. Hybrid Systems 1 Mathematical Modelling of Natural Phenomena 1 Monograph Series on Nonlinear Science and Complexity
all top 5

#### Fields

 79 Ordinary differential equations (34-XX) 74 Dynamical systems and ergodic theory (37-XX) 68 Mechanics of particles and systems (70-XX) 24 Mechanics of deformable solids (74-XX) 21 Systems theory; control (93-XX) 12 General and overarching topics; collections (00-XX) 6 Partial differential equations (35-XX) 5 Numerical analysis (65-XX) 4 Real functions (26-XX) 3 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

114 Publications have been cited 951 times in 511 Documents Cited by Year
Fractional dynamics and control. Papers based on the presentations at the 3rd conference on nonlinear science and complexity (NSC) Ankara, Turkey, July 27–31, 2010. Zbl 1231.93003
Baleanu, Dumitru (ed.); Tenreiro Machado, José António (ed.); Luo, Albert C. J. (ed.)
2012
A theory for synchronization of dynamical systems. Zbl 1221.37218
Luo, Albert C. J.
2009
A theory for non-smooth dynamic systems on the connectable domains. Zbl 1065.34007
Luo, Albert C. J.
2005
Stick and non-stick periodic motions in periodically forced oscillators with dry friction. Zbl 1243.70025
Luo, Albert C. J.; Gegg, Brandon C.
2006
Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts. Zbl 1135.70312
Luo, Albert C. J.; Chen, Lidi
2005
A theory for flow switchability in discontinuous dynamical systems. Zbl 1163.93016
Luo, Albert C. J.
2008
Discontinuous dynamical systems. Zbl 1242.93001
Luo, Albert C. J.
2012
Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator. Zbl 1135.37306
Luo, Albert C. J.
2004
The mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation. Zbl 1237.70083
Luo, Albert C. J.
2005
Chaotic motion of a horizontal impact pair. Zbl 1237.70028
Han, R. P. S.; Luo, A. C. J.; Deng, W.
1995
Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficients. Zbl 1015.34061
Gu, Keqin; Han, Qing-Long; Luo, Albert C. J.; Niculescu, Silviu-Iulian
2001
Discontinuous dynamical systems on time-varying domains. Zbl 1213.34001
Luo, Albert C. J.
2009
Analytical routes of period-1 motions to chaos in a periodically forced Duffing oscillator with a twin-well potential. Zbl 1300.34081
Luo, Albert C. J.; Huang, Jianzhe
2012
Regularity and complexity in dynamical systems. Zbl 1253.37003
Luo, Albert C. J.
2012
Global chaos in a periodically forced, linear system with a dead-zone restoring force. Zbl 1069.37027
Luo, Albert C. J.; Menon, Santhosh
2004
Continuous dynamical systems. Zbl 1367.37001
Luo, Albert C. J.
2012
Imaginary, sink and source flows in the vicinity of the separatrix of non-smooth dynamic systems. Zbl 1237.34017
Luo, Albert C. J.
2005
Singularity and dynamics on discontinuous vector fields. Zbl 1182.37002
Luo, Albert C. J.
2006
Chaotic motion in a micro-electro-mechanical system with nonlinearity from capacitors. Zbl 1112.74403
Luo, Albert C. J.; Wang, F. Y.
2002
Analytical dynamics of period-$$m$$ flows and chaos in nonlinear systems. Zbl 1258.34071
Luo, Albert C. J.; Huang, Jianzhe
2012
Vibro-impact dynamics. Zbl 1345.70002
Luo, Albert C. J.; Guo, Yu
2013
Resonant-separatrix webs in stochastic layers of the twin-well Duffing oscillator. Zbl 0941.70017
Luo, Albert C. J.; Gu, Keqin; Han, Ray P. S.
1999
Computing Lyapunov exponents of continuous dynamical systems: Method of Lyapunov vectors. Zbl 1074.37039
Lu, Jia; Yang, Guolai; Oh, Hyounkyun; Luo, Albert C. J.
2005
A semi-analytical prediction of periodic motions in Duffing oscillator through mapping structures. Zbl 1320.34059
Luo, Albert C. J.
2015
Unstable and stable period-$$m$$ motions in a twin-well potential Duffing oscillator. Zbl 1300.34080
Luo, Albert C. J.; Hang, Zianzhe
2012
On the symmetry of solutions in non-smooth dynamical systems with two constraints. Zbl 1236.70039
Luo, A. C. J.
2004
Dynamics of a harmonically excited oscillator with dry-friction on a sinusoidally time-varying, traveling surface. Zbl 1140.70471
Luo, Albert C. J.; Gegg, Brandon C.
2006
Equilibrium and buckling stability for axially traveling plates. Zbl 1109.74339
Luo, Albert C. J.; Hamidzadeh, Hamid R.
2004
Grazing phenomena in a periodically forced, friction-induced, linear oscillator. Zbl 1326.70039
Luo, Albert C. J.; Gegg, Brandon C.
2006
Long-range interactions, stochasticity and fractional dynamics. Dedicated to George M. Zaslavsky (1935-2008). Zbl 1209.70002
Luo, Albert C. J. (ed.); Afraimovich, Valentin (ed.)
2010
On flow barriers and switchability in discontinuous dynamical systems. Zbl 1208.34007
Luo, Albert C. J.
2011
An approximate theory for geometrically nonlinear thin plates. Zbl 0994.74041
Luo, Albert C. J.
2000
On the computation of Lyapunov exponents for forced vibration of a Lennard–Jones oscillator. Zbl 1088.70013
Yang, Guolai; Lu, Jia; Luo, Albert C. J.
2005
Predictions of quasi-periodic and chaotic motions in nonlinear Hamiltonian systems. Zbl 1121.37044
Luo, Albert C. J.
2006
Synchronization of a periodically forced Duffing oscillator with a periodically excited pendulum. Zbl 1259.34042
Luo, Albert C. J.; Min, Fuhong
2011
Periodic motions in a simplified brake system with a periodic excitation. Zbl 1221.70032
Luo, Albert C. J.; Thapa, Sagun
2009
The dynamics of stochastic and resonant layers in a periodically driven pendulum. Zbl 0962.70024
Luo, Albert C. J.; Han, Ray P. S.
2000
A quantitative stability and bifurcation analysis of the generalized Duffing oscillator with strong nonlinearity. Zbl 0868.34030
Luo, Albert C. J.; Han, Ray P. S.
1997
The resonance theory for stochastic layers in nonlinear dynamic systems. Zbl 1073.70523
Luo, Albert C. J.; Han, Ray P. S.
2001
Bifurcation trees of period-$$m$$ motions to chaos in a time-delayed, quadratic nonlinear oscillator under a periodic excitation. Zbl 1401.70033
Luo, Albert C. J.; Jin, Hanxiang
2014
Global transversality, resonance and chaotic dynamics. Zbl 1222.37003
Luo, Albert C. J.
2008
Discontinuous dynamics of a non-linear, self-excited, friction-induced, periodically forced oscillator. Zbl 1238.70003
Luo, Albert C. J.; Huang, Jianzhe
2012
Toward analytical chaos in nonlinear systems. Zbl 1305.37003
Luo, Albert C. J.
2014
Global tangency and transversality of periodic flows and chaos in a periodically forced, damped Duffing oscillator. Zbl 1154.34002
Luo, Albert C. J.
2008
Discretization and implicit mapping dynamics. Zbl 1319.70025
Luo, Albert C. J.
2015
On analytical routes to chaos in nonlinear systems. Zbl 1296.70021
Luo, Albert C. J.
2014
On flow switching bifurcations in discontinuous dynamical systems. Zbl 1102.37014
Luo, Albert C. J.
2007
An analytical prediction of periodic flows in the Chua circuit system. Zbl 1176.34056
Luo, Albert C. J.; Xue, Bing
2009
A global period-1 motion of a periodically excited, piecewise-linear system. Zbl 1092.70514
Menon, Santhosh; Luo, Albert C. J.
2005
Period-m motions to chaos in a periodically forced, Duffing oscillator with a time-delayed displacement. Zbl 1302.34123
Luo, Albert C. J.; Jin, Hanxiang
2014
Equilibrium solutions and existence for traveling, arbitrarily sagged elastic cables. Zbl 1110.74573
Luo, A. C. J.; Mote, C. D. jun.
2000
A periodically forced, piecewise linear system. II: The fragmentation mechanism of strange attractors and grazing. Zbl 1113.37017
Luo, Albert C. J.
2007
The chaotic synchronization of a controlled pendulum with a periodically forced, damped Duffing oscillator. Zbl 1243.34071
Luo, Albert C. J.; Min, Fuhong
2011
Resonance and stochastic layer in a parametrically excited pendulum. Zbl 1004.70016
Luo, Albert C. J.
2001
A theory for $$n$$-dimensional nonlinear dynamics on continuous vector fields. Zbl 1146.37018
Luo, Albert C. J.
2007
On discontinuous dynamics of a freight train suspension system. Zbl 1305.34077
O’Connor, Dennis; Luo, Albert C. J.
2014
Discrete and switching dynamical systems. Zbl 1338.37003
Luo, Albert C. J.
2012
A periodically forced, piecewise linear system. I: Local singularity and grazing bifurcation. Zbl 1104.37025
Luo, Albert C. J.
2007
Nonlinear and complex dynamics. Applications in physical, biological, and financial systems. Zbl 1228.37001
Tenreiro Machado, José António (ed.); Baleanu, Dumitru (ed.); Luo, Albert C. J. (ed.)
2011
Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system. Zbl 1168.70011
Luo, Albert C. J.; Rapp, Brandon M.
2009
Periodic orbits in a second-order discontinuous system with an elliptic boundary. Zbl 1354.34035
Li, Liping; Luo, Albert C. J.
2016
Periodic flows to chaos based on discrete implicit mappings of continuous nonlinear systems. Zbl 1314.37016
Luo, Albert C. J.
2015
Complex dynamics of projective synchronization of Chua circuits with different scrolls. Zbl 1317.34122
Min, Fuhong; Luo, Albert C. J.
2015
Multiple bifurcation trees of period-1 motions to chaos in a periodically forced, time-delayed, hardening Duffing oscillator. Zbl 1360.34146
Luo, Albert C. J.; Xing, Siyuan
2016
Periodic motions and bifurcation trees in a buckled, nonlinear Jeffcott rotor system. Zbl 1309.70009
Huang, Jianzhe; Luo, Albert C. J.
2015
Resonant-overlap phenomena in stochastic layers of non-linear Hamiltonian systems with periodical excitations. Zbl 1237.70037
Luo, A. C. J.
2001
Sliding motions on a periodically time-varying boundary for a friction-induced oscillator. Zbl 1272.70104
Gegg, B. C.; Luo, A. C. J.; Suh, S. C.
2009
Parameter characteristics for stable and unstable solutions in nonlinear discrete dynamical systems. Zbl 1204.37022
Luo, Albert C. J.; Guo, Yu
2010
On motions and switchability in a periodically forced, discontinuous system with a parabolic boundary. Zbl 1198.37083
Luo, Albert C. J.; Rapp, Brandon M.
2010
An analytical prediction of sliding motions along discontinuous boundary in non-smooth dynamical systems. Zbl 1181.70029
Luo, Albert C. J.; Gegg, Brandon C.
2007
Motion switching and chaos of a particle in a generalized Fermi-acceleration oscillator. Zbl 1331.70062
Luo, A. C. J.; Guo, Y.
2009
Synchronization dynamics of two different dynamical systems. Zbl 1238.37042
Luo, Albert C. J.; Min, Fuhong
2011
Resonant and stationary waves in rotating disks. Zbl 1050.74027
Luo, Albert C. J.; Tan, Chin An
2001
Grazing bifurcations of a harmonically excited oscillator moving on a time-varying translation belt. Zbl 1156.70312
Gegg, Brandon C.; Luo, Albert C. J.; Suh, Steve C.
2008
Dynamics of traveling, inextensible cables. Zbl 1121.74306
Wang, Yuefang; Luo, Albert C. J.
2004
On complex periodic motions and bifurcations in a periodically forced, damped, hardening Duffing oscillator. Zbl 1355.34060
Guo, Yu; Luo, Albert C. J.
2015
Parametric analysis of bifurcation and chaos in a periodically driven horizontal impact pair. Zbl 1258.34031
Guo, Yu; Luo, Albert C. J.
2012
Analytical routes to chaos in nonlinear engineering. Zbl 1387.37002
Luo, Albert C. J.
2014
Periodic motions to chaos in pendulum. Zbl 1347.70032
Luo, Albert C. J.; Guo, Yu
2016
Dynamical system synchronization. Zbl 1272.37003
Luo, Albert C. J.
2013
The mechanism of a controlled pendulum synchronizing with periodic motions in a periodically forced, damped Duffing oscillator. Zbl 1248.34079
Luo, Albert C. J.; Min, Fuhong
2011
A Ying-Yang theory in nonlinear discrete dynamical systems. Zbl 1193.37024
Luo, Albert C. J.
2010
Chaotic motions in the resonant separatrix band of a parametrically excited pendulum. Zbl 1195.65103
Luo, Albert C. J.
2000
Asymmetric responses of rotating, thin disks experiencing large deflections. Zbl 1029.74024
Luo, A. C. J.; Mote, C. D. jun.
2003
Thermally induced, nonlinear vibrations of rotating disks. Zbl 1031.74030
Saniei, Nader; Luo, Albert C. J.
2001
Period doubling and multifractals in 1-D iterative maps. Zbl 0769.58042
Luo, Albert C. J.; Han, Ray P. S.
1992
Singularity, switchability and bifurcations in a 2-DOF, periodically forced, frictional oscillator. Zbl 1270.34076
Luo, Albert C. J.; Mosadman, Mozhdeh S. Faraji
2013
Periodic and chaotic synchronizations of two distinct dynamical systems under sinusoidal constraints. Zbl 1264.34108
Min, Fuhong; Luo, Albert C. J.
2012
On the stability of a rotating blade with geometric nonlinearity. Zbl 1417.37276
Wang, Fengxia; Luo, Albert C. J.
2012
Period-3 motions to chaos in a softening Duffing oscillator. Zbl 1296.34089
Luo, Albert C. J.; Huang, Jianzhe
2014
Period-$$m$$ motions and bifurcation trees in a periodically excited, quadratic nonlinear oscillator. Zbl 1305.34055
Luo, Albert C. J.; Yu, Bo
2013
Symmetric and asymmetric period-1 motions in a periodically forced, time-delayed, hardening Duffing oscillator. Zbl 1355.34087
Luo, Albert C. J.; Xing, Siyuan
2016
Sinusoidal synchronization of a Duffing oscillator with a chaotic pendulum. Zbl 1250.34035
Min, Fuhong; Luo, Albert C. J.
2011
Nonlinear vibration of heated co-rotating disks. Zbl 1182.74103
Saniei, Nader; Luo, Albert C. J.
2007
Complex systems. Fractionality, time-delay and synchronization. Zbl 1229.93002
Luo, Albert C. J. (ed.); Sun, Jian-Qiao (ed.)
2011
Analytical conditions for motion switchability in a 2-DOF friction-induced oscillator moving on two constant speed belts. Zbl 1380.70018
Luo, Albert C. J.; Mao, Tingting
2009
Sliding and transversal motions on an inclined boundary in a periodically forced discontinuous system. Zbl 1221.70030
Luo, Albert C. J.; Rapp, Brandon M.
2010
Period-1 evolutions to chaos in a periodically forced Brusselator. Zbl 1410.70025
Luo, Albert C. J.; Guo, Siyu
2018
Chaotic analysis of subharmonic resonant waves in undamped and damped strings. Zbl 0847.73033
Luo, Albert C. J.; Han, Ray P. S.; Xiang, Yumin
1995
Analytical vibration and resonant motion of a stretched spinning nonlinear tether. Zbl 0866.70017
Luo, Albert C. J.; Han, Ray P. S.; Tyc, G.; Modi, V. J.; Misra, A. K.
1996
Bifurcation and stability in nonlinear dynamical systems. Zbl 1440.93005
Luo, Albert C. J.
2019
Period-1 evolutions to chaos in a periodically forced Brusselator. Zbl 1410.70025
Luo, Albert C. J.; Guo, Siyu
2018
Time-delay effects on periodic motions in a Duffing oscillator. Zbl 1386.34121
Luo, Albert C. J.; Xing, Siyuan
2018
Bifurcation trees of period-3 motions to chaos in a time-delayed Duffing oscillator. Zbl 1398.35123
Luo, Albert C. J.; Xing, Siyuan
2017
Periodic flows to chaos in time-delay systems. Zbl 1346.93002
Luo, Albert C. J.
2017
Periodic orbits in a second-order discontinuous system with an elliptic boundary. Zbl 1354.34035
Li, Liping; Luo, Albert C. J.
2016
Multiple bifurcation trees of period-1 motions to chaos in a periodically forced, time-delayed, hardening Duffing oscillator. Zbl 1360.34146
Luo, Albert C. J.; Xing, Siyuan
2016
Periodic motions to chaos in pendulum. Zbl 1347.70032
Luo, Albert C. J.; Guo, Yu
2016
Symmetric and asymmetric period-1 motions in a periodically forced, time-delayed, hardening Duffing oscillator. Zbl 1355.34087
Luo, Albert C. J.; Xing, Siyuan
2016
Updating the state of the art of nonlinear dynamics and complexity. Zbl 1360.00126
Guirao, Juan L. G.; López, Miguel A.; Luo, Albert C. J.
2016
Analytical predictions of period-1 motions to chaos in a periodically driven quadratic nonlinear oscillator with a time-delay. Zbl 1385.34049
Luo, A. C. J.; Xing, S.
2016
A semi-analytical prediction of periodic motions in Duffing oscillator through mapping structures. Zbl 1320.34059
Luo, Albert C. J.
2015
Discretization and implicit mapping dynamics. Zbl 1319.70025
Luo, Albert C. J.
2015
Periodic flows to chaos based on discrete implicit mappings of continuous nonlinear systems. Zbl 1314.37016
Luo, Albert C. J.
2015
Complex dynamics of projective synchronization of Chua circuits with different scrolls. Zbl 1317.34122
Min, Fuhong; Luo, Albert C. J.
2015
Periodic motions and bifurcation trees in a buckled, nonlinear Jeffcott rotor system. Zbl 1309.70009
Huang, Jianzhe; Luo, Albert C. J.
2015
On complex periodic motions and bifurcations in a periodically forced, damped, hardening Duffing oscillator. Zbl 1355.34060
Guo, Yu; Luo, Albert C. J.
2015
Bifurcation trees of period-$$m$$ motions to chaos in a time-delayed, quadratic nonlinear oscillator under a periodic excitation. Zbl 1401.70033
Luo, Albert C. J.; Jin, Hanxiang
2014
Toward analytical chaos in nonlinear systems. Zbl 1305.37003
Luo, Albert C. J.
2014
On analytical routes to chaos in nonlinear systems. Zbl 1296.70021
Luo, Albert C. J.
2014
Period-m motions to chaos in a periodically forced, Duffing oscillator with a time-delayed displacement. Zbl 1302.34123
Luo, Albert C. J.; Jin, Hanxiang
2014
On discontinuous dynamics of a freight train suspension system. Zbl 1305.34077
O&rsquo;Connor, Dennis; Luo, Albert C. J.
2014
Analytical routes to chaos in nonlinear engineering. Zbl 1387.37002
Luo, Albert C. J.
2014
Period-3 motions to chaos in a softening Duffing oscillator. Zbl 1296.34089
Luo, Albert C. J.; Huang, Jianzhe
2014
Bifurcation trees of periodic motions to chaos in a parametric, quadratic nonlinear oscillator. Zbl 1296.70022
Luo, Albert C. J.; Yu, Bo
2014
Discontinuity and complexity in nonlinear physical systems. Selected papers based on the presentations at the 4th international conference on nonlinear science and complexity, NSC, Budapest, Hungary, August 6–11, 2012. Zbl 1280.37003
Machado, José A. Tenreiro; Baleanu, Dumitru; Luo, Albert C. J.
2014
Vibro-impact dynamics. Zbl 1345.70002
Luo, Albert C. J.; Guo, Yu
2013
Dynamical system synchronization. Zbl 1272.37003
Luo, Albert C. J.
2013
Singularity, switchability and bifurcations in a 2-DOF, periodically forced, frictional oscillator. Zbl 1270.34076
Luo, Albert C. J.; Mosadman, Mozhdeh S. Faraji
2013
Period-$$m$$ motions and bifurcation trees in a periodically excited, quadratic nonlinear oscillator. Zbl 1305.34055
Luo, Albert C. J.; Yu, Bo
2013
Asymmetric periodic motions with chaos in a softening Duffing oscillator. Zbl 1270.34075
Luo, Albert C. J.; Huang, Jianzhe
2013
Fractional dynamics and control. Papers based on the presentations at the 3rd conference on nonlinear science and complexity (NSC) Ankara, Turkey, July 27–31, 2010. Zbl 1231.93003
Baleanu, Dumitru; Tenreiro Machado, José António; Luo, Albert C. J.
2012
Discontinuous dynamical systems. Zbl 1242.93001
Luo, Albert C. J.
2012
Analytical routes of period-1 motions to chaos in a periodically forced Duffing oscillator with a twin-well potential. Zbl 1300.34081
Luo, Albert C. J.; Huang, Jianzhe
2012
Regularity and complexity in dynamical systems. Zbl 1253.37003
Luo, Albert C. J.
2012
Continuous dynamical systems. Zbl 1367.37001
Luo, Albert C. J.
2012
Analytical dynamics of period-$$m$$ flows and chaos in nonlinear systems. Zbl 1258.34071
Luo, Albert C. J.; Huang, Jianzhe
2012
Unstable and stable period-$$m$$ motions in a twin-well potential Duffing oscillator. Zbl 1300.34080
Luo, Albert C. J.; Hang, Zianzhe
2012
Discontinuous dynamics of a non-linear, self-excited, friction-induced, periodically forced oscillator. Zbl 1238.70003
Luo, Albert C. J.; Huang, Jianzhe
2012
Discrete and switching dynamical systems. Zbl 1338.37003
Luo, Albert C. J.
2012
Parametric analysis of bifurcation and chaos in a periodically driven horizontal impact pair. Zbl 1258.34031
Guo, Yu; Luo, Albert C. J.
2012
Periodic and chaotic synchronizations of two distinct dynamical systems under sinusoidal constraints. Zbl 1264.34108
Min, Fuhong; Luo, Albert C. J.
2012
On the stability of a rotating blade with geometric nonlinearity. Zbl 1417.37276
Wang, Fengxia; Luo, Albert C. J.
2012
On flow barriers and switchability in discontinuous dynamical systems. Zbl 1208.34007
Luo, Albert C. J.
2011
Synchronization of a periodically forced Duffing oscillator with a periodically excited pendulum. Zbl 1259.34042
Luo, Albert C. J.; Min, Fuhong
2011
The chaotic synchronization of a controlled pendulum with a periodically forced, damped Duffing oscillator. Zbl 1243.34071
Luo, Albert C. J.; Min, Fuhong
2011
Nonlinear and complex dynamics. Applications in physical, biological, and financial systems. Zbl 1228.37001
Tenreiro Machado, José António; Baleanu, Dumitru; Luo, Albert C. J.
2011
Synchronization dynamics of two different dynamical systems. Zbl 1238.37042
Luo, Albert C. J.; Min, Fuhong
2011
The mechanism of a controlled pendulum synchronizing with periodic motions in a periodically forced, damped Duffing oscillator. Zbl 1248.34079
Luo, Albert C. J.; Min, Fuhong
2011
Sinusoidal synchronization of a Duffing oscillator with a chaotic pendulum. Zbl 1250.34035
Min, Fuhong; Luo, Albert C. J.
2011
Complex systems. Fractionality, time-delay and synchronization. Zbl 1229.93002
Luo, Albert C. J.; Sun, Jian-Qiao
2011
Long-range interactions, stochasticity and fractional dynamics. Dedicated to George M. Zaslavsky (1935-2008). Zbl 1209.70002
Luo, Albert C. J.; Afraimovich, Valentin
2010
Parameter characteristics for stable and unstable solutions in nonlinear discrete dynamical systems. Zbl 1204.37022
Luo, Albert C. J.; Guo, Yu
2010
On motions and switchability in a periodically forced, discontinuous system with a parabolic boundary. Zbl 1198.37083
Luo, Albert C. J.; Rapp, Brandon M.
2010
A Ying-Yang theory in nonlinear discrete dynamical systems. Zbl 1193.37024
Luo, Albert C. J.
2010
Sliding and transversal motions on an inclined boundary in a periodically forced discontinuous system. Zbl 1221.70030
Luo, Albert C. J.; Rapp, Brandon M.
2010
On a nonlinear theory of thin rods. Zbl 1222.74027
Luo, Albert C. J.
2010
Stochastic and resonant layers in nonlinear Hamiltonian systems. Zbl 1223.37073
Luo, Albert C. J.
2010
A theory for synchronization of dynamical systems. Zbl 1221.37218
Luo, Albert C. J.
2009
Discontinuous dynamical systems on time-varying domains. Zbl 1213.34001
Luo, Albert C. J.
2009
Periodic motions in a simplified brake system with a periodic excitation. Zbl 1221.70032
Luo, Albert C. J.; Thapa, Sagun
2009
An analytical prediction of periodic flows in the Chua circuit system. Zbl 1176.34056
Luo, Albert C. J.; Xue, Bing
2009
Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system. Zbl 1168.70011
Luo, Albert C. J.; Rapp, Brandon M.
2009
Sliding motions on a periodically time-varying boundary for a friction-induced oscillator. Zbl 1272.70104
Gegg, B. C.; Luo, A. C. J.; Suh, S. C.
2009
Motion switching and chaos of a particle in a generalized Fermi-acceleration oscillator. Zbl 1331.70062
Luo, A. C. J.; Guo, Y.
2009
Analytical conditions for motion switchability in a 2-DOF friction-induced oscillator moving on two constant speed belts. Zbl 1380.70018
Luo, Albert C. J.; Mao, Tingting
2009
A theory for flow switchability in discontinuous dynamical systems. Zbl 1163.93016
Luo, Albert C. J.
2008
Global transversality, resonance and chaotic dynamics. Zbl 1222.37003
Luo, Albert C. J.
2008
Global tangency and transversality of periodic flows and chaos in a periodically forced, damped Duffing oscillator. Zbl 1154.34002
Luo, Albert C. J.
2008
Grazing bifurcations of a harmonically excited oscillator moving on a time-varying translation belt. Zbl 1156.70312
Gegg, Brandon C.; Luo, Albert C. J.; Suh, Steve C.
2008
On flow switching bifurcations in discontinuous dynamical systems. Zbl 1102.37014
Luo, Albert C. J.
2007
A periodically forced, piecewise linear system. II: The fragmentation mechanism of strange attractors and grazing. Zbl 1113.37017
Luo, Albert C. J.
2007
A theory for $$n$$-dimensional nonlinear dynamics on continuous vector fields. Zbl 1146.37018
Luo, Albert C. J.
2007
A periodically forced, piecewise linear system. I: Local singularity and grazing bifurcation. Zbl 1104.37025
Luo, Albert C. J.
2007
An analytical prediction of sliding motions along discontinuous boundary in non-smooth dynamical systems. Zbl 1181.70029
Luo, Albert C. J.; Gegg, Brandon C.
2007
Nonlinear vibration of heated co-rotating disks. Zbl 1182.74103
Saniei, Nader; Luo, Albert C. J.
2007
Stick and non-stick periodic motions in periodically forced oscillators with dry friction. Zbl 1243.70025
Luo, Albert C. J.; Gegg, Brandon C.
2006
Singularity and dynamics on discontinuous vector fields. Zbl 1182.37002
Luo, Albert C. J.
2006
Dynamics of a harmonically excited oscillator with dry-friction on a sinusoidally time-varying, traveling surface. Zbl 1140.70471
Luo, Albert C. J.; Gegg, Brandon C.
2006
Grazing phenomena in a periodically forced, friction-induced, linear oscillator. Zbl 1326.70039
Luo, Albert C. J.; Gegg, Brandon C.
2006
Predictions of quasi-periodic and chaotic motions in nonlinear Hamiltonian systems. Zbl 1121.37044
Luo, Albert C. J.
2006
On grazing and strange attractors fragmentation in non-smooth dynamical systems. Zbl 1111.37005
Luo, Albert C. J.
2006
A theory for non-smooth dynamic systems on the connectable domains. Zbl 1065.34007
Luo, Albert C. J.
2005
Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts. Zbl 1135.70312
Luo, Albert C. J.; Chen, Lidi
2005
The mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation. Zbl 1237.70083
Luo, Albert C. J.
2005
Imaginary, sink and source flows in the vicinity of the separatrix of non-smooth dynamic systems. Zbl 1237.34017
Luo, Albert C. J.
2005
Computing Lyapunov exponents of continuous dynamical systems: Method of Lyapunov vectors. Zbl 1074.37039
Lu, Jia; Yang, Guolai; Oh, Hyounkyun; Luo, Albert C. J.
2005
On the computation of Lyapunov exponents for forced vibration of a Lennard–Jones oscillator. Zbl 1088.70013
Yang, Guolai; Lu, Jia; Luo, Albert C. J.
2005
A global period-1 motion of a periodically excited, piecewise-linear system. Zbl 1092.70514
Menon, Santhosh; Luo, Albert C. J.
2005
Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator. Zbl 1135.37306
Luo, Albert C. J.
2004
Global chaos in a periodically forced, linear system with a dead-zone restoring force. Zbl 1069.37027
Luo, Albert C. J.; Menon, Santhosh
2004
On the symmetry of solutions in non-smooth dynamical systems with two constraints. Zbl 1236.70039
Luo, A. C. J.
2004
Equilibrium and buckling stability for axially traveling plates. Zbl 1109.74339
Luo, Albert C. J.; Hamidzadeh, Hamid R.
2004
Dynamics of traveling, inextensible cables. Zbl 1121.74306
Wang, Yuefang; Luo, Albert C. J.
2004
Asymmetric responses of rotating, thin disks experiencing large deflections. Zbl 1029.74024
Luo, A. C. J.; Mote, C. D. jun.
2003
Chaotic motion in a micro-electro-mechanical system with nonlinearity from capacitors. Zbl 1112.74403
Luo, Albert C. J.; Wang, F. Y.
2002
Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficients. Zbl 1015.34061
Gu, Keqin; Han, Qing-Long; Luo, Albert C. J.; Niculescu, Silviu-Iulian
2001
The resonance theory for stochastic layers in nonlinear dynamic systems. Zbl 1073.70523
Luo, Albert C. J.; Han, Ray P. S.
2001
Resonance and stochastic layer in a parametrically excited pendulum. Zbl 1004.70016
Luo, Albert C. J.
2001
Resonant-overlap phenomena in stochastic layers of non-linear Hamiltonian systems with periodical excitations. Zbl 1237.70037
Luo, A. C. J.
2001
...and 14 more Documents
all top 5

#### Cited by 766 Authors

 83 Luo, Albert C. J. 18 Wang, Jinrong 11 Băleanu, Dumitru I. 10 Min, Fuhong 8 Fečkan, Michal 8 Huang, Jianzhe 7 Fu, Xilin 7 Tarasov, Vasily E. 7 Wang, Zuolei 6 Du, Zhengdong 6 Gegg, Brandon C. 6 Kong, Fanchao 6 Luo, Guanwei 6 Xie, Jianhua 6 Xing, Siyuan 5 Akhmet, Marat Ubaydulla 5 Cao, Jinde 5 Cao, Qingjie 5 Chen, Liqun 5 Fan, Jinjun 5 Guo, Yu 5 Shi, Xuerong 5 Sun, Yeong-Jeu 5 Tang, Youqi 5 Yang, Xiao-Jun 5 Zhang, Wei 5 Zhou, Yong 4 Belozyorov, Vasiliy Ye. 4 Fang, Jian’an 4 Han, Ray P. S. 4 Huang, Lihong 4 Lv, Xiaohong 4 Ma, Li 4 Machado, José António Tenreiro 4 Mahmoud, Emad E. 4 Ouannas, Adel 4 Wang, Yuefang 4 Woafo, Paul 4 Yue, Yuan 4 Zhang, Yuruo 3 Arjunan, Mani Mallika 3 Azar, Ahmad Taher 3 Barabash, Nikita V. 3 Belykh, Igor V. 3 Belykh, Vladimir N. 3 Cai, Zuowei 3 Caldas, Iberê L. 3 Campos-Cantón, Eric 3 de Souza, Silvio Luiz Thomaz 3 Ding, Wangcai 3 Fu, Xi 3 Guo, Siyu 3 Kalamani, Palaniyappan 3 Kuske, Rachel A. 3 Kuznetsov, Nikolay Vladimirovich 3 Li, Qunhong 3 Li, Xianfeng 3 Li, Yurong 3 Mahmoud, Gamal M. 3 Noorani, Mohd Salmi Mohd 3 Okniński, Andrzej 3 Pei, Lijun 3 Radziszewski, Bogusław 3 Rapp, Brandon M. 3 Salman, Sanaa Moussa 3 Simpson, David John Warwick 3 Suh, Steve C. S. 3 Tang, Yang 3 Trikha, Pushali 3 Xu, Yeyin 3 Xue, Shan 3 Zhang, Weinian 3 Zhao, Yang 3 Ziar, Toufik 2 Ariba, Yassine 2 Ayati, Moosa 2 Battelli, Flaviano 2 Campos-Cantón, I. 2 Caneco, Acilina 2 Chen, Ge 2 Chen, Zhaobo 2 Deng, Jianhua 2 Ding, Dongsheng 2 Elsadany, Abdelalim A. 2 Farmanborda, Muster Satis 2 Fey, Rob H. B. 2 Gao, Zhuoyan 2 Gidea, Marian 2 Golmankhaneh, Alireza Khalili 2 Gouaisbaut, Frédéric 2 Grace, Said Rezk 2 Grácio, Clara 2 Gritli, Hassene 2 Gu, Keqin 2 Han, Qinglong 2 Hosein, Aiblaastin 2 Huang, Lihua 2 Jahanzaib, Lone Seth 2 Jiang, Fangfang 2 Jiang, Jun ...and 666 more Authors
all top 5

#### Cited in 101 Serials

 69 Communications in Nonlinear Science and Numerical Simulation 67 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 59 Nonlinear Dynamics 44 Chaos, Solitons and Fractals 15 Applied Mathematics and Computation 15 Nonlinear Analysis. Real World Applications 13 Mathematical Problems in Engineering 13 Advances in Difference Equations 12 Chaos 10 Journal of Applied Mathematics and Computing 8 Journal of Vibration and Control 6 Automatica 6 Advances in Mathematical Physics 5 Journal of the Franklin Institute 5 Applied Mathematical Modelling 5 Complexity 5 Discrete Dynamics in Nature and Society 5 Qualitative Theory of Dynamical Systems 5 Acta Mechanica Sinica 5 International Journal of Applied and Computational Mathematics 4 International Journal of Modern Physics B 4 Computers & Mathematics with Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Physica D 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Journal of Optimization Theory and Applications 3 Abstract and Applied Analysis 3 European Journal of Mechanics. A. Solids 3 International Journal of Structural Stability and Dynamics 3 Journal of Applied Analysis and Computation 2 International Journal of Systems Science 2 Journal of Differential Equations 2 Kybernetika 2 Meccanica 2 Mechanics Research Communications 2 Systems & Control Letters 2 Circuits, Systems, and Signal Processing 2 Applied Mathematics and Mechanics. (English Edition) 2 Neural Networks 2 Journal of Nonlinear Science 2 European Journal of Control 2 Differential Equations and Dynamical Systems 2 Lobachevskii Journal of Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Modelling and Control 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Analysis and Mathematical Physics 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Acta Mechanica 1 Applicable Analysis 1 Astrophysics and Space Science 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 International Journal of General Systems 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Physica A 1 Theoretical and Computational Fluid Dynamics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 SIAM Journal on Computing 1 Optimal Control Applications & Methods 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Annals of Physics 1 Automation and Remote Control 1 Vestnik St. Petersburg University. Mathematics 1 Continuum Mechanics and Thermodynamics 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Arab Journal of Mathematical Sciences 1 Journal of Mathematical Chemistry 1 Multibody System Dynamics 1 Fractional Calculus & Applied Analysis 1 DGDS. Differential Geometry – Dynamical Systems 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Journal of Fixed Point Theory and Applications 1 Nonlinear Analysis. Hybrid Systems 1 Mathematical Modelling of Natural Phenomena 1 GEM - International Journal on Geomathematics 1 Journal of Mathematics and Computer Science. JMCS 1 Asian Journal of Control 1 Mathematical Control and Related Fields 1 Frontiers of Computer Science 1 Evolution Equations and Control Theory ...and 1 more Serials
all top 5

#### Cited in 34 Fields

 270 Ordinary differential equations (34-XX) 150 Dynamical systems and ergodic theory (37-XX) 114 Mechanics of particles and systems (70-XX) 105 Systems theory; control (93-XX) 54 Mechanics of deformable solids (74-XX) 31 Real functions (26-XX) 23 Numerical analysis (65-XX) 22 Partial differential equations (35-XX) 20 Biology and other natural sciences (92-XX) 18 Information and communication theory, circuits (94-XX) 16 Operator theory (47-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Difference and functional equations (39-XX) 8 Probability theory and stochastic processes (60-XX) 8 Fluid mechanics (76-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Special functions (33-XX) 6 Integral equations (45-XX) 5 Operations research, mathematical programming (90-XX) 4 General topology (54-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.