Yilei Tang

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All published works
Action Title Year Authors
+ Periodic orbits for 2n-dimensional control piecewise smooth dynamical systems 2024 Chen Cao
Chen Fu
Yilei Tang
+ Topological classifications of a piecewise linear Liénard system with three zones 2024 Hebai Chen
Man Jia
Yilei Tang
+ Limit cycles in a rotated family of generalized Liénard systems allowing for finitely many switching lines 2024 Hebai Chen
Yilei Tang
Weinian Zhang
+ Global dynamical behavior of a generalized Muthuswamy-Chua-Ginoux system 2024 Xinhao Hu
Yilei Tang
Tianyu Wang
+ A Quintic \(\boldsymbol{\mathbb{Z}_2}\)-Equivariant Liénard System Arising from the Complex Ginzburg–Landau Equation 2023 Hebai Chen
Xingwu Chen
Man Jia
Yilei Tang
+ On the uniqueness of limit cycles in second-order oscillators 2023 Hebai Chen
Yilei Tang
Dongmei Xiao
+ The discontinuous limit case of an archetypal oscillator with a constant excitation and van der Pol damping 2022 Hebai Chen
Yilei Tang
Zhaoxia Wang
+ More degeneracy but fewer bifurcations in a predator–prey system having fully null linear part 2022 Zhifei Guo
Yilei Tang
Weinian Zhang
+ The focus case of a nonsmooth Rayleigh–Duffing oscillator 2021 Zhaoxia Wang
Hebai Chen
Yilei Tang
+ PDF Chat Integrability and bifurcation of a three-dimensional circuit differential system 2021 Brigita Ferčec
Valery G. Romanovski
Yilei Tang
Ling Zhang
+ PDF Chat The Limit Cycles of the Higgins–Selkov Systems 2021 Hebai Chen
Jaume Llibre
Yilei Tang
+ PDF Chat The Focus Case of a Nonsmooth Rayleigh-Duffing Oscillator 2021 Zhaoxia Wang
Hebai Chen
Yilei Tang
+ A degenerate planar piecewise linear differential system with three zones 2021 Hebai Chen
Man Jia
Yilei Tang
+ Global dynamics of a quintic Liénard system with Z2 -symmetry I: saddle case 2021 Hebai Chen
Yilei Tang
Dongmei Xiao
+ Versal unfolding of homogeneous cubic degenerate centers in strong monodromic family 2021 Lingling Liu
Yilei Tang
Weinian Zhang
+ A Mathematical Model of COVID-19 Transmission 2021 R. Jayatilaka
Rajan Patel
Manika Brar
Yilei Tang
N. Jisrawi
Farrukh Chishtie
Julia Drozd
S. R. Valluri
+ PDF Chat Partial qualitative analysis of planar 𝓐Q-Riccati equations 2020 Borut Zalar
Brigita Ferčec
Yilei Tang
Matej Mencinger
+ An oscillator with two discontinuous lines and Van der Pol damping 2020 Hebai Chen
Yilei Tang
+ Global dynamics of the Josephson equation in TS1 2020 Hebai Chen
Yilei Tang
+ A proof of Euzébio–Pazim–Ponce’s conjectures for a degenerate planar piecewise linear differential system with three zones 2019 Hebai Chen
Yilei Tang
+ Versal unfolding of a nilpotent Liénard equilibrium within the odd Liénard family 2019 Yilei Tang
Weinian Zhang
+ PDF Chat Global dynamics of planar quasi-homogeneous differential systems 2019 Yilei Tang
Xiang Zhang
+ PDF Chat Centers of discontinuous piecewise smooth quasi–homogeneous polynomial differential systems 2019 Hebai Chen
Jaume Llibre
Yilei Tang
+ Proof of Artés–Llibre–Valls's conjectures for the Higgins–Selkov and the Selkov systems 2018 Hebai Chen
Yilei Tang
+ Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center 2018 Jaume Llibre
Yilei Tang
+ Global dynamics of a mechanical system with dry friction 2018 Hebai Chen
Sen Duan
Yilei Tang
Jianhua Xie
+ At most two limit cycles in a piecewise linear differential system with three zones and asymmetry 2018 Hebai Chen
Yilei Tang
+ Dynamics of an autocatalator model 2018 Valery G. Romanovski
Maoan Han
Stevan Maćešić
Yilei Tang
+ PDF Chat Global dynamics and bifurcation of planar piecewise smooth quadratic quasi-homogeneous differential systems 2018 Yilei Tang
+ PDF Chat Global dynamics of a SD oscillator 2017 Hebai Chen
Jaume Llibre
Yilei Tang
+ PDF Chat Linearizability and critical period bifurcations of a generalized Riccati system 2017 Valery G. Romanovski
Wilker Fernandes
Yilei Tang
Yun Tian
+ PDF Chat Dynamics of epidemic models with asymptomatic infection and seasonal succession 2017 Yilei Tang
Dongmei Xiao
Weinian Zhang
Di Zhu
+ Isochronicity and linearizability of a planar cubic system 2017 Wilker Fernandes
Valery G. Romanovski
Marzhan Sultanova
Yilei Tang
+ Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center 2017 Jaume Llibre
Yilei Tang
+ Global dynamics and unfolding of planar piecewise smooth quadratic quasi-homogeneous differential systems 2017 Yilei Tang
+ Global dynamics of planar quasi-homogeneous differential systems 2017 Yilei Tang
Xiang Zhang
+ Dynamics of epidemic models with asymptomatic infection and seasonal succession 2017 Yilei Tang
Dongmei Xiao
Weinian Zhang
Di Zhu
+ Isochronicity and linearizability of a planar cubic system 2017 Wilker Fernandes
Valery G. Romanovski
Marzhan Sultanova
Yilei Tang
+ Linearizability and critical period bifurcations of a generalized Riccati system 2017 Valery G. Romanovski
Wilker Fernandes
Yilei Tang
Yun Tian
+ Versal unfolding of planar Hamiltonian systems at fully degenerate equilibrium 2016 Yilei Tang
Weinian Zhang
+ On conjugacies between asymmetric Bernoulli shifts 2015 Yong-Guo Shi
Yilei Tang
+ Global Dynamics of a Parasite-Host Model with Nonlinear Incidence Rate 2015 Yilei Tang
+ PDF Chat Center of planar quintic quasi--homogeneous polynomial differential systems 2014 Yilei Tang
Long Wang
Xiang Zhang
+ Periodic Solutions for a Predator–Prey Model with Periodic Harvesting Rate 2014 Yilei Tang
Dongmei Xiao
+ Direct parametric analysis of an enzyme-catalyzed reaction model 2011 Yilei Tang
Deqing Huang
Wei Zhang
+ Versal unfoldings of predator–prey systems with ratio-dependent functional response 2010 Shigui Ruan
Yilei Tang
Weinian Zhang
+ DISTRIBUTION OF ROOTS OF CUBIC EQUATIONS 2010 Deqing Huang
Yilei Tang
Weinian Zhang
+ Focus-center problem of planar degenerate system 2008 Yilei Tang
Weigu Li
Zhifen Zhang
+ PDF Chat Coexistence of Limit Cycles and Homoclinic Loops in a SIRS Model with a Nonlinear Incidence Rate 2008 Yilei Tang
Deqing Huang
Shigui Ruan
Weinian Zhang
+ Global dynamics of an epidemic model with an unspecified degree 2007 Yilei Tang
Weigu Li
+ Global analysis of an epidemic model with a constant removal rate 2006 Yilei Tang
Weigu Li
+ Bogdanov-Takens bifurcation of a polynomialdifferential system in biochemical reaction 2004 Yilei Tang
Weinian Zhang
+ RECOGNITION AND CLASSIFICATION FOR O(n)-EQUIVARIANT BIFURCATIONS WITH O(n)-CODIMENSION LESS THAN 5 1998 X Wang
Yilei Tang
D Wang
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Normal Forms and Bifurcation of Planar Vector Fields 1994 Shui-Nee Chow
Chengzhi Li
Duo Wang
15
+ Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields 1983 John Guckenheimer
Philip Holmes
15
+ Qualitative theory of differential equations 1961 13
+ Methods of Bifurcation Theory 1982 Shui-Nee Chow
Jack K. Hale
12
+ Cubic Lienard equations with linear damping 1990 Freddy Dumortier
Christiane Rousseau
10
+ Piecewise-smooth Dynamical Systems: Theory and Applications 2007 Mario di Bernardo
Chris Budd
Alan R. Champneys
Piotr Kowalczyk
10
+ Qualitative Theory of Planar Differential Systems 2006 Freddy Dumortier
Joan Carles Artés Ferragud
Jaume Llibre
9
+ Dynamical analysis of a cubic Liénard system with global parameters 2015 Hebai Chen
Xingwu Chen
9
+ Ordinary Differential Equations. 1971 Ray Redheffer
Jack K. Hale
8
+ Non-Linear Differential Equations 1965 Richard Bellman
Giovanni Sansone
Roberto Conti
7
+ PDF Chat Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields 1984 John Guckenheimer
Philip Holmes
Marshall Slemrod
7
+ PDF Chat Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry 2015 Jaume Llibre
Enrique Ponce
Clàudìa Valls
6
+ One-Parameter Bifurcations in Planar Filippov Systems 2003 Yuri A. Kuznetsov
S. Rinaldi
Alessandra Gragnani
6
+ PDF Chat Bifurcations in Nonsmooth Dynamical Systems 2008 Mario di Bernardo
Chris Budd
Alan R. Champneys
Piotr Kowalczyk
Arne Nordmark
Gerard Olivar
Petri T. Piiroinen
6
+ The integrability problem for a class of planar systems 2009 Antonio Algaba
E. Gamero
Cristóbal García
5
+ The Center and Cyclicity Problems: A Computational Algebra Approach 2009 Valery G. Romanovski
Douglas S. Shafer
5
+ Linearization of Isochronous Centers 1995 Pavao Mardešić
Christiane Rousseau
B. Toni
5
+ Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones 1998 E. Freire
Enrique Ponce
F. Rodrigo
Francisco Torres
5
+ Limit cycles in planar continuous piecewise linear systems 2016 Hebai Chen
Denghui Li
Jianhua Xie
Yuan Yue
5
+ Differential Topology 1976 Morris W. Hirsch
5
+ On the uniqueness and nonexistence of limit cycles for predator prey systems 2003 Dongmei Xiao
Zhifeng Zhang
5
+ PDF Chat Two Limit Cycles in Liénard Piecewise Linear Differential Systems 2018 Jaume Llibre
Enrique Ponce
Clàudìa Valls
5
+ PDF Chat On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry 2013 Jaume Llibre
M. Ordóñez
Enrique Ponce
5
+ ORDINARY DIFFERENTIAL EQUATIONS 1981 Stanley I. Grossman
5
+ PDF Chat Global dynamics of a SD oscillator 2017 Hebai Chen
Jaume Llibre
Yilei Tang
5
+ Introduction to the Qualitative Theory of Differential Systems: Planar, Symmetric and Continuous Piecewise Linear Systems 2013 Antonio E. Teruel
Jaume Llibre
5
+ Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones 2016 Rodrigo D. Euzébio
Rubens Pazim
Enrique Ponce
5
+ A contribution to the mathematical theory of epidemics 1927 W. O. Kermack
A. G. McKendrick
5
+ At most two limit cycles in a piecewise linear differential system with three zones and asymmetry 2018 Hebai Chen
Yilei Tang
5
+ Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations 1996 Alain Goriely
4
+ On Liénard's equation 1977 A. Lins
W. de Melo
Charles Pugh
4
+ On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type 1954 Nathalie Bautin
4
+ Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial 1999 J. Chavarriga
Jaume Giné
Isaac A. García
4
+ Bifurcations in an epidemic model with constant removal rate of the infectives 2004 Wendi Wang
Shigui Ruan
4
+ An approach to solving systems of polynomials via modular arithmetics with applications 2011 Valery G. Romanovski
Mateja Prešern
4
+ Centers of quasi-homogeneous polynomial differential equations of degree three 2014 Wadie Aziz
J. Llibre
Chara Pantazi
4
+ Generalized Hopf Bifurcation for Planar Filippov Systems Continuous at the Origin 2006 Yongkui Zou
Tassilo Küpper
Wolf-Jürgen Beyn
4
+ On the cyclicity of weight-homogeneous centers 2009 Lubomir Gavrilov
Jaume Giné
Maite Grau
4
+ PDF Chat Non-Smooth Dynamical Systems 2000 Markus Kunze
4
+ Rotated vector fields and the global behavior of limit cycles for a class of quadratic systems in the plane 1975 L. M. Perko
4
+ Dynamical behavior of epidemiological models with nonlinear incidence rates 1987 Weimin Liu
Herbert W. Hethcote
Simon A. Levin
4
+ Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems 2015 Lijun Wei
Xiang Zhang
4
+ PDF Chat Dynamics and bifurcations of nonsmooth systems: A survey 2012 Oleg Makarenkov
Jeroen S. W. Lamb
4
+ P-adic reconstruction of rational numbers 1982 Paul S. Wang
M. J. T. Guy
James H. Davenport
4
+ A Predator–Prey Model with Ivlev's Functional Response 1996 Robert E. Kooij
André Zegeling
4
+ Geometrical Methods in the Theory of Ordinary Differential Equations 1988 V. I. Arnold
4
+ Some Quadratic Systems with at most One Limit Cycle 1989 W. A. Coppel
4
+ Die Integralkurven einer gew�hnlichen Differentialgleichung erster Ordnung in der Umgebung rationaler Unbestimmtheitsstellen 1928 Max Frommer
4
+ Linearizability conditions of a time-reversible quartic-like system 2011 Xingwu Chen
Wentao Huang
Valery G. Romanovski
Weinian Zhang
3
+ Planar systems of piecewise linear differential equations with a line of discontinuity 2001 Fotios Giannakopoulos
Karin Pliete
3