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## Lynch, Stephen

Compute Distance To:
 Author ID: lynch.stephen Published as: Lynch, S.; Lynch, Stephen
 Documents Indexed: 30 Publications since 1988, including 7 Books
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#### Co-Authors

 9 single-authored 2 Christopher, Colin J. 1 Borresen, Jon 1 Degens, Hans 1 Jones, David M. 1 Kotter, Mark 1 Langford, Mat 1 Nguyen, Huy The 1 Ramos, Jorgelina 1 Roach, Paul A. 1 Slevin, Mark
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#### Serials

 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Sound and Vibration 1 Nonlinearity 1 Journal für die Reine und Angewandte Mathematik 1 Calculus of Variations and Partial Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 11 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 1 Partial differential equations (35-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 261 times in 169 Documents Cited by Year
Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces. Zbl 1074.34522
Christopher, Colin; Lynch, Stephen
1999
Small-amplitude limit cycles of certain Liénard systems. Zbl 0657.34030
Lloyd, N. G.; Lynch, S.
1988
Dynamical systems with applications using Mathematica. Zbl 1138.37001
Lynch, Stephen
2007
Limit cycles in highly non-linear differential equations. Zbl 1235.34098
Lynch, S.; Christopher, C. J.
1999
Dynamical systems with applications using MATLAB. Zbl 1066.37001
Lynch, Stephen
2004
Limit cycles of generalized Liénard equations. Zbl 0841.34031
Lynch, S.
1995
Dynamical systems with applications using MAPLE. 2nd ed. Zbl 1193.37001
Lynch, Stephen
2010
Limit cycles in two types of symmetric Liénard systems. Zbl 1151.34312
Jiang, J.; Han, M.; Yu, P.; Lynch, S.
2007
Generalized cubic Liénard equations. Zbl 0934.34040
Lynch, S.
1999
Dynamical systems with applications using MAPLE. Zbl 0964.37001
Lynch, Stephen
2001
Controlling chaos in nonlinear optical resonators. Zbl 0983.37118
Lynch, S.; Steele, A. L.
2000
Small amplitude limit cycles of the generalized mixed Rayleigh-Liénard oscillator. Zbl 1237.34037
Lynch, S.
1994
More results on the bifurcation of limit cycles for systems of Liénard type. Zbl 0818.34021
Lynch, S.
1994
Small-amplitude limit cycles of Liénard systems. Zbl 0728.34026
Lynch, S.
1990
Symbolic computation of Lyapunov quantities and the second part of Hilbert’s sixteenth problem. Zbl 1107.34028
Lynch, Stephen
2005
Analysis of a blood cell population model. Zbl 1092.92504
Lynch, S.
2005
Generalized quadratic Liénard equations. Zbl 0933.34024
Lynch, S.
1998
Dynamical systems with applications using MATLAB. 2nd ed. Zbl 1319.37002
Lynch, Stephen
2014
Multistability, bistability and chaos control. Zbl 1042.37508
Lynch, S.
2001
Stability analysis of nonlinear optical resonators. Zbl 0963.78027
Lynch, S.; Steele, A. L.; Hoad, J. E.
1998
Recent results on Liénard systems. Zbl 0882.34035
Lynch, S.
1996
Sharp one-sided curvature estimates for fully nonlinear curvature flows and applications to ancient solutions. Zbl 1448.53087
Langford, Mat; Lynch, Stephen
2020
Hysteresis in muscle. Zbl 1358.34055
Ramos, Jorgelina; Lynch, Stephen; Jones, David; Degens, Hans
2017
Bistable neuromodules. Zbl 1222.92009
Lynch, S.; Bandar, Z. G.
2005
Liénard systems and the second part of Hilbert’s sixteenth problem. Zbl 0889.34026
Lynch, S.
1997
Dynamical systems with applications using Python. Zbl 1435.37002
Lynch, Stephen
2018
Dynamical systems with applications using Mathematica$$^\circledR$$. 2nd edition. Zbl 1388.37001
Lynch, Stephen
2017
Critical slowing down in biological bistable models. Zbl 1295.92025
Alharbey, R. A.; Nejad, L. A. M.; Lynch, S.; Hassan, S. S.
2014
Sharp one-sided curvature estimates for fully nonlinear curvature flows and applications to ancient solutions. Zbl 1448.53087
Langford, Mat; Lynch, Stephen
2020
Dynamical systems with applications using Python. Zbl 1435.37002
Lynch, Stephen
2018
Hysteresis in muscle. Zbl 1358.34055
Ramos, Jorgelina; Lynch, Stephen; Jones, David; Degens, Hans
2017
Dynamical systems with applications using Mathematica$$^\circledR$$. 2nd edition. Zbl 1388.37001
Lynch, Stephen
2017
Dynamical systems with applications using MATLAB. 2nd ed. Zbl 1319.37002
Lynch, Stephen
2014
Critical slowing down in biological bistable models. Zbl 1295.92025
Alharbey, R. A.; Nejad, L. A. M.; Lynch, S.; Hassan, S. S.
2014
Dynamical systems with applications using MAPLE. 2nd ed. Zbl 1193.37001
Lynch, Stephen
2010
Dynamical systems with applications using Mathematica. Zbl 1138.37001
Lynch, Stephen
2007
Limit cycles in two types of symmetric Liénard systems. Zbl 1151.34312
Jiang, J.; Han, M.; Yu, P.; Lynch, S.
2007
Symbolic computation of Lyapunov quantities and the second part of Hilbert’s sixteenth problem. Zbl 1107.34028
Lynch, Stephen
2005
Analysis of a blood cell population model. Zbl 1092.92504
Lynch, S.
2005
Bistable neuromodules. Zbl 1222.92009
Lynch, S.; Bandar, Z. G.
2005
Dynamical systems with applications using MATLAB. Zbl 1066.37001
Lynch, Stephen
2004
Dynamical systems with applications using MAPLE. Zbl 0964.37001
Lynch, Stephen
2001
Multistability, bistability and chaos control. Zbl 1042.37508
Lynch, S.
2001
Controlling chaos in nonlinear optical resonators. Zbl 0983.37118
Lynch, S.; Steele, A. L.
2000
Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces. Zbl 1074.34522
Christopher, Colin; Lynch, Stephen
1999
Limit cycles in highly non-linear differential equations. Zbl 1235.34098
Lynch, S.; Christopher, C. J.
1999
Generalized cubic Liénard equations. Zbl 0934.34040
Lynch, S.
1999
Generalized quadratic Liénard equations. Zbl 0933.34024
Lynch, S.
1998
Stability analysis of nonlinear optical resonators. Zbl 0963.78027
Lynch, S.; Steele, A. L.; Hoad, J. E.
1998
Liénard systems and the second part of Hilbert’s sixteenth problem. Zbl 0889.34026
Lynch, S.
1997
Recent results on Liénard systems. Zbl 0882.34035
Lynch, S.
1996
Limit cycles of generalized Liénard equations. Zbl 0841.34031
Lynch, S.
1995
Small amplitude limit cycles of the generalized mixed Rayleigh-Liénard oscillator. Zbl 1237.34037
Lynch, S.
1994
More results on the bifurcation of limit cycles for systems of Liénard type. Zbl 0818.34021
Lynch, S.
1994
Small-amplitude limit cycles of Liénard systems. Zbl 0728.34026
Lynch, S.
1990
Small-amplitude limit cycles of certain Liénard systems. Zbl 0657.34030
Lloyd, N. G.; Lynch, S.
1988
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#### Cited by 281 Authors

 18 Han, Maoan 11 Yang, Junmin 9 Yu, Pei 7 Lynch, Sabrina 5 Leonov, Gennadiĭ Alekseevich 5 Llibre, Jaume 4 Din, Qamar 4 Li, Cuiping 4 Lynch, Stephen 4 Sun, Yeong-Jeu 3 Alışverişçi, G. Füsun 3 Borodzik, Maciej 3 Chen, Xingwu 3 Gasull, Armengol 3 Giné, Jaume 3 Jing, Zhujun 3 Lei, Shenghui 3 Lloyd, Noel Glynne 3 Sun, Xianbo 3 Tian, Yun 3 Turan, Ali 3 Valls Anglés, Cláudia 2 Asheghi, Rasoul 2 Bakhshalizadeh, Ali 2 Bayıroğlu, H. 2 Bendjeddou, Ahmed 2 Berbache, Aziza 2 Chabi Orou, Jean B. 2 Chen, Hebai 2 Christopher, Colin J. 2 Devlin, James 2 Jiang, Jiao 2 Khan, Abdul Qadeer 2 Li, Tao 2 Liang, Feng 2 Mereu, Ana Cristina 2 Miwadinou, Clement H. 2 Monwanou, A. V. 2 Pearson, Jane Margaret 2 Piqueira, José Roberto Castilho 2 Ren, Jingli 2 Romanovski, Valery G. 2 Sarkar, Abhijit 2 Sugie, Jitsuro 2 Torregrosa, Joan 2 Wang, Ruiqi 2 Xu, Weijiao 2 Yan, Yan 2 Yu, Liping 2 Zhang, Weinian 2 Zhu, Huaiping 1 Ahmad, Khalil 1 Alavez-Ramírez, Justino 1 Aleksandrov, Konstantin Dmitrievich 1 Ali, Irfan 1 Angulo, Fabiola 1 Arafat, Soheir 1 Armendáriz-Iñigo, José Enrique 1 Ashwin, Peter 1 Atangana, Abdon 1 Awrejcewicz, Jan 1 Bahamonde, Sebastian 1 Bandar, Z. G. 1 Barnard, Michael R. 1 Benadouane, Sabah 1 Bisaillon, Philippe 1 Blé, Gamaliel 1 Böhmer, Christian G. 1 Borresen, Jon 1 Bueno, Átila Madureira 1 Burova, Irina Gerasimovna 1 Cabada, Alberto 1 Caldas, Iberê L. 1 Campbell, Sue Ann 1 Capozziello, Salvatore 1 Carloni, Sante 1 Caubergh, Magdalena 1 Chang, Yingxiang 1 Chavarriga, Javier 1 Chen, Guanrong 1 Chen, Hsien-Keng 1 Chen, Liangkang 1 Chen, Xianfeng 1 Chen, Yuming 1 Chu, Yandong 1 Cid, José Ángel 1 Cioni, Martina 1 Coley, Alan Albert 1 Copeland, Edmund J. 1 Cordero, Alicia 1 D’Acunto, Mario 1 Dauhoo, Muhammad Zaid 1 De Carvalho Freschi, Marcela 1 Degens, Hans 1 Deka, Jyoti Prasad 1 Deng, Jin 1 Ding, Wei 1 Duan, Lian 1 Dumortier, Freddy 1 Elkhateeb, Esraa A. ...and 181 more Authors
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#### Cited in 67 Serials

 21 Chaos, Solitons and Fractals 21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Journal of Differential Equations 10 Nonlinear Dynamics 9 Journal of Mathematical Analysis and Applications 6 Qualitative Theory of Dynamical Systems 5 Applied Mathematics and Computation 5 Applied Mathematics Letters 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Difference Equations and Applications 3 Mathematical Problems in Engineering 3 Communications in Nonlinear Science and Numerical Simulation 3 Advances in Difference Equations 3 Journal of Applied Analysis and Computation 2 General Relativity and Gravitation 2 Journal of Applied Mathematics and Mechanics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nonlinearity 2 Journal of Symbolic Computation 2 Computational and Applied Mathematics 2 Chaos 2 Discrete Dynamics in Nature and Society 1 International Journal of Modern Physics A 1 Acta Informatica 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 International Journal of Heat and Mass Transfer 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Computational Physics 1 Mathematical Biosciences 1 Physics Reports 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematica Bohemica 1 Applied Mathematical Modelling 1 Vestnik St. Petersburg University. Mathematics 1 International Journal of Modern Physics D 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Abstract and Applied Analysis 1 Regular and Chaotic Dynamics 1 Combustion Theory and Modelling 1 Journal of Biological Systems 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Biological Dynamics 1 Mathematics in Computer Science 1 Asian-European Journal of Mathematics 1 International Journal of Biomathematics 1 International Journal of Differential Equations 1 Science China. Mathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Journal of Mathematical Modeling 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Siberian Federal University. Mathematics & Physics
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#### Cited in 31 Fields

 119 Ordinary differential equations (34-XX) 60 Dynamical systems and ergodic theory (37-XX) 25 Biology and other natural sciences (92-XX) 16 Systems theory; control (93-XX) 12 Difference and functional equations (39-XX) 11 Mechanics of particles and systems (70-XX) 7 Numerical analysis (65-XX) 6 Relativity and gravitational theory (83-XX) 5 Computer science (68-XX) 4 Algebraic geometry (14-XX) 3 Partial differential equations (35-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Information and communication theory, circuits (94-XX) 2 Probability theory and stochastic processes (60-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)