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Deng, Bo

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Author ID: deng.bo Recent zbMATH articles by "Deng, Bo"
Published as: Deng, B.; Deng, Bo
Documents Indexed: 67 Publications since 1989
all top 5

Serials

7 Chaos
6 Journal of Differential Equations
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Dynamics and Differential Equations
3 Bulletin of Mathematical Biology
3 Ars Combinatoria
3 SIAM Journal on Mathematical Analysis
2 Mathematical Biosciences
2 Transactions of the American Mathematical Society
2 Journal of Shandong University. Natural Science
2 MATCH - Communications in Mathematical and in Computer Chemistry
1 Modern Physics Letters B
1 Journal of Mathematical Biology
1 Linear and Multilinear Algebra
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Computation
1 Journal of Mathematics. Wuhan University
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 Mathematics and Mechanics of Solids
1 Mathematical and Computer Modelling of Dynamical Systems
1 Nonlinear Analysis. Real World Applications
1 Journal of Software
1 Transactions of Beijing Institute of Technology
1 Science in China. Series G
1 International Journal of Applied Mathematics and Statistics
1 Journal of Guangxi Normal University. Natural Science Edition
1 Journal of Anhui University. Natural Science Edition
1 Journal of Shanghai Second Polytechnic University
1 Advances and Applications in Mathematical Sciences
1 ISRN Applied Mathematics
1 Journal of Theoretical Biology
1 Journal of Applied Analysis and Computation

Publications by Year

Citations contained in zbMATH

45 Publications have been cited 527 times in 328 Documents Cited by Year
Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050
Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold
68
1990
The Sil’nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation. Zbl 0674.34040
Deng, Bo
60
1989
Homoclinic bifurcations with nonhyperbolic equilibria. Zbl 0698.34037
Deng, Bo
44
1990
Food chain chaos due to Shilnikov’s orbit. Zbl 1080.92518
Deng, Bo; Hines, Gwendolen
31
2002
Food chain chaos due to junction-fold point. Zbl 0993.92034
Deng, Bo
28
2001
Homoclinic twisting bifurcations and cusp horseshoe maps. Zbl 0782.34042
Deng, Bo
26
1993
Food chain chaos with canard explosion. Zbl 1080.34043
Deng, Bo
24
2004
The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits. Zbl 0693.34055
Chow, S.-N.; Deng, B.; Terman, D.
20
1990
The existence of infinitely many traveling front and back waves in the FitzHugh-Nagumo equations. Zbl 0752.35025
Deng, Bo
18
1991
Food chain chaos due to transcritical point. Zbl 1080.92519
Deng, Bo; Hines, Gwendolen
16
2003
Singular perturbation of \(N\)-front travelling waves in the FitzHugh-Nagumo equations. Zbl 1077.34049
Bell, Daryl C.; Deng, Bo
15
2002
Glucose-induced period-doubling cascade in the electrical activity of pancreatic \(\beta\)-cells. Zbl 0920.92005
Deng, Bo
14
1999
Constructing homoclinic orbits and chaotic attractors. Zbl 0873.34036
Deng, Bo
14
1994
On Shilnikov’s homoclinic-saddle-focus theorem. Zbl 0780.34029
Deng, Bo
10
1993
The bifurcations of countable connections from a twisted heteroclinic loop. Zbl 0788.34041
Deng, Bo
10
1991
Exponential expansion with Šil’nikov’s saddle-focus. Zbl 0703.34041
Deng, Bo
10
1989
Šil’nikov-Hopf bifurcations. Zbl 0827.34025
Deng, Bo; Sakamoto, Kunimochi
9
1995
Smooth conjugacy of centre manifolds. Zbl 0745.34040
Burchard, Almut; Deng, Bo; Lu, Kening
9
1992
The bifurcation of homoclinic orbits from two heteroclinic orbits — A topological approach. Zbl 0758.35043
Chow, S.-N.; Deng, B.; Terman, D.
9
1991
Conjugation for polynomial mappings. Zbl 0840.58013
Deng, Bo; Meisters, Gary H.; Zampieri, Gaetano
8
1995
Conflict-free connection numbers of line graphs. Zbl 06843484
Deng, Bo; Li, Wenjing; Li, Xueliang; Mao, Yaping; Zhao, Haixing
7
2017
Competitive coexistence in stoichiometric chaos. Zbl 1163.37322
Deng, Bo; Loladze, Irakli
7
2007
Equilibriumizing all food chain chaos through reproductive efficiency. Zbl 1151.92324
Deng, Bo
7
2006
Constructing Lorenz type attractors through singular perturbations. Zbl 0886.58069
Deng, Bo
7
1995
Exponential expansion with principal eigenvalues. Zbl 0876.34042
Deng, Bo
6
1996
On the Laplacian energy of trees with perfect matchings. Zbl 1289.05272
Chang, An; Deng, Bo
5
2012
Biological control does not imply paradox. Zbl 1119.92063
Deng, Bo; Jessie, Shannon; Ledder, Glenn; Rand, Alex; Srodulski, Sarah
5
2007
Food web chaos without subchain oscillators. Zbl 1140.34370
Bockelman, Brian; Deng, Bo
4
2005
Chaotic coexistence in a top-predator mediated competitive exclusive web. Zbl 1068.34045
Bockelman, Brian; Deng, Bo; Green, Elizabeth; Hines, Gwendolen; Lippitt, Leslie; Sherman, Jason
4
2004
A mathematical model that mimics the bursting oscillations in pancreatic \(\beta\)-cells. Zbl 0794.92007
Deng, Bo
4
1994
Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems. Zbl 0694.35008
Chow, Shui-Nee; Deng, Bo
4
1989
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
3
2017
Neural spike renormalization. II: multiversal chaos. Zbl 1213.37068
Deng, Bo
3
2011
Chaotic attractors in one-dimension generated by a singular Shilnikov orbit. Zbl 1091.37505
Taylor, Krista J.; Deng, Bo
3
2001
Spiral-plus-saddle attractors and elementary mechanisms for chaos generation. Zbl 0870.58055
Deng, Bo
3
1996
On the maximum skew spectral radius and minimum skew energy of tournaments. Zbl 1387.05063
Deng, Bo; Li, Xueliang; Shader, Bryan; So, Wasin
2
2018
Maximal Balaban index of graphs. Zbl 1299.05079
Deng, Bo; Chang, An
2
2013
More on borderenergetic graphs. Zbl 1331.05142
Deng, Bo; Li, Xueliang; Gutman, Ivan
1
2016
A male spider’s ornamentation polymorphism maintained by opposing selection with two niches. Zbl 1412.92305
Deng, Bo; Estes, Alex; Grieb, Brett; Richard, Douglas; Hinds, Brittney; Hebets, Eileen
1
2014
Neural spike renormalization. I: Universal number 1. Zbl 1222.37039
Deng, Bo
1
2011
The origin of two sexes through optimization of recombination entropy against time and energy. Zbl 1298.92064
Deng, Bo
1
2007
Numerical investigation on detonation cell evolution in a channel with area-changing cross section. Zbl 1206.80022
Deng, Bo; Hu, Zongmin; Teng, Honghui; Jiang, Zonglin
1
2007
Why is the number of DNA bases 4? Zbl 1334.92268
Deng, Bo
1
2006
Theory and application of a nongeneric heteroclinic loop bifurcation. Zbl 0929.34035
Chow, Shui-Nee; Deng, Bo; Friedman, Mark J.
1
1999
The transverse homoclinic dynamics and their bifurcations at nonhyperbolic fixed points. Zbl 0766.34028
Deng, Bo
1
1992
On the maximum skew spectral radius and minimum skew energy of tournaments. Zbl 1387.05063
Deng, Bo; Li, Xueliang; Shader, Bryan; So, Wasin
2
2018
Conflict-free connection numbers of line graphs. Zbl 06843484
Deng, Bo; Li, Wenjing; Li, Xueliang; Mao, Yaping; Zhao, Haixing
7
2017
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
3
2017
More on borderenergetic graphs. Zbl 1331.05142
Deng, Bo; Li, Xueliang; Gutman, Ivan
1
2016
A male spider’s ornamentation polymorphism maintained by opposing selection with two niches. Zbl 1412.92305
Deng, Bo; Estes, Alex; Grieb, Brett; Richard, Douglas; Hinds, Brittney; Hebets, Eileen
1
2014
Maximal Balaban index of graphs. Zbl 1299.05079
Deng, Bo; Chang, An
2
2013
On the Laplacian energy of trees with perfect matchings. Zbl 1289.05272
Chang, An; Deng, Bo
5
2012
Neural spike renormalization. II: multiversal chaos. Zbl 1213.37068
Deng, Bo
3
2011
Neural spike renormalization. I: Universal number 1. Zbl 1222.37039
Deng, Bo
1
2011
Competitive coexistence in stoichiometric chaos. Zbl 1163.37322
Deng, Bo; Loladze, Irakli
7
2007
Biological control does not imply paradox. Zbl 1119.92063
Deng, Bo; Jessie, Shannon; Ledder, Glenn; Rand, Alex; Srodulski, Sarah
5
2007
The origin of two sexes through optimization of recombination entropy against time and energy. Zbl 1298.92064
Deng, Bo
1
2007
Numerical investigation on detonation cell evolution in a channel with area-changing cross section. Zbl 1206.80022
Deng, Bo; Hu, Zongmin; Teng, Honghui; Jiang, Zonglin
1
2007
Equilibriumizing all food chain chaos through reproductive efficiency. Zbl 1151.92324
Deng, Bo
7
2006
Why is the number of DNA bases 4? Zbl 1334.92268
Deng, Bo
1
2006
Food web chaos without subchain oscillators. Zbl 1140.34370
Bockelman, Brian; Deng, Bo
4
2005
Food chain chaos with canard explosion. Zbl 1080.34043
Deng, Bo
24
2004
Chaotic coexistence in a top-predator mediated competitive exclusive web. Zbl 1068.34045
Bockelman, Brian; Deng, Bo; Green, Elizabeth; Hines, Gwendolen; Lippitt, Leslie; Sherman, Jason
4
2004
Food chain chaos due to transcritical point. Zbl 1080.92519
Deng, Bo; Hines, Gwendolen
16
2003
Food chain chaos due to Shilnikov’s orbit. Zbl 1080.92518
Deng, Bo; Hines, Gwendolen
31
2002
Singular perturbation of \(N\)-front travelling waves in the FitzHugh-Nagumo equations. Zbl 1077.34049
Bell, Daryl C.; Deng, Bo
15
2002
Food chain chaos due to junction-fold point. Zbl 0993.92034
Deng, Bo
28
2001
Chaotic attractors in one-dimension generated by a singular Shilnikov orbit. Zbl 1091.37505
Taylor, Krista J.; Deng, Bo
3
2001
Glucose-induced period-doubling cascade in the electrical activity of pancreatic \(\beta\)-cells. Zbl 0920.92005
Deng, Bo
14
1999
Theory and application of a nongeneric heteroclinic loop bifurcation. Zbl 0929.34035
Chow, Shui-Nee; Deng, Bo; Friedman, Mark J.
1
1999
Exponential expansion with principal eigenvalues. Zbl 0876.34042
Deng, Bo
6
1996
Spiral-plus-saddle attractors and elementary mechanisms for chaos generation. Zbl 0870.58055
Deng, Bo
3
1996
Šil’nikov-Hopf bifurcations. Zbl 0827.34025
Deng, Bo; Sakamoto, Kunimochi
9
1995
Conjugation for polynomial mappings. Zbl 0840.58013
Deng, Bo; Meisters, Gary H.; Zampieri, Gaetano
8
1995
Constructing Lorenz type attractors through singular perturbations. Zbl 0886.58069
Deng, Bo
7
1995
Constructing homoclinic orbits and chaotic attractors. Zbl 0873.34036
Deng, Bo
14
1994
A mathematical model that mimics the bursting oscillations in pancreatic \(\beta\)-cells. Zbl 0794.92007
Deng, Bo
4
1994
Homoclinic twisting bifurcations and cusp horseshoe maps. Zbl 0782.34042
Deng, Bo
26
1993
On Shilnikov’s homoclinic-saddle-focus theorem. Zbl 0780.34029
Deng, Bo
10
1993
Smooth conjugacy of centre manifolds. Zbl 0745.34040
Burchard, Almut; Deng, Bo; Lu, Kening
9
1992
The transverse homoclinic dynamics and their bifurcations at nonhyperbolic fixed points. Zbl 0766.34028
Deng, Bo
1
1992
The existence of infinitely many traveling front and back waves in the FitzHugh-Nagumo equations. Zbl 0752.35025
Deng, Bo
18
1991
The bifurcations of countable connections from a twisted heteroclinic loop. Zbl 0788.34041
Deng, Bo
10
1991
The bifurcation of homoclinic orbits from two heteroclinic orbits — A topological approach. Zbl 0758.35043
Chow, S.-N.; Deng, B.; Terman, D.
9
1991
Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050
Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold
68
1990
Homoclinic bifurcations with nonhyperbolic equilibria. Zbl 0698.34037
Deng, Bo
44
1990
The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits. Zbl 0693.34055
Chow, S.-N.; Deng, B.; Terman, D.
20
1990
The Sil’nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation. Zbl 0674.34040
Deng, Bo
60
1989
Exponential expansion with Šil’nikov’s saddle-focus. Zbl 0703.34041
Deng, Bo
10
1989
Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems. Zbl 0694.35008
Chow, Shui-Nee; Deng, Bo
4
1989
all top 5

Cited by 444 Authors

24 Zhu, Deming
22 Deng, Bo
12 Mo, Jiaqi
9 Homburg, Ale Jan
9 Li, Xueliang
9 Liu, Xingbo
7 Champneys, Alan R.
7 Kokubu, Hiroshi
6 Jin, Yinlai
6 Knobloch, Jürgen
6 Krauskopf, Bernd
6 Liu, Weishi
6 Naudot, Vincent
6 Yang, Xiaosong
5 Duarte, Jorge
5 Geng, Fengjie
5 Januário, Cristina
5 Lin, Wantao
5 Lu, Kening
5 Lu, Qiuying
5 Martins, Nuno M. C.
5 Osinga, Hinke Maria
5 Rodrigues, Alexandre A. P.
5 Wang, Lei
5 Zhang, Tiansi
4 Ashwin, Peter
4 Kirk, Vivien
4 Lin, Xiaobiao
4 Liu, Dan
4 Rodríguez-Luis, Alejandro J.
4 Sandstede, Björn
4 Zhang, Weinian
4 Zhang, Weipeng
3 Aguirre, Pablo
3 García, Isaac A.
3 Giraldo, Andrus
3 Hines, Gwendolen
3 Huang, Zhong
3 Krupa, Martin
3 Maza, Susanna
3 Natiello, Mario A.
3 Oka, Hiroe
3 Poggiale, Jean-Christophe
3 Qi, Dongwen
3 Schecter, Stephen
3 Scheel, Arnd
3 Shafer, Douglas S.
3 Terry, Alan J.
3 van den Essen, Arno
3 Xu, Yancong
3 Zhang, Wenmeng
3 Zhu, Xiaoyu
3 Zimmermann, Martín G.
2 Algaba, Antonio
2 Bates, Peter W.
2 Bockelman, Brian
2 Bolotin, Sergeĭ Vladimirovich
2 Cardin, Pedro Toniol
2 Chang, Hong
2 Chen, Yanli
2 Chow, Shui-Nee
2 Dumortier, Freddy
2 Fan, Meng
2 Field, Michael J.
2 Fu, Xianlong
2 Ganie, Hilal Ahmad
2 Guckenheimer, John M.
2 Han, Maoan
2 Härterich, Jörg M.
2 Hsu, Ting-Hao
2 Hubbers, Engelbert
2 Jendrol’, Stanislav
2 Jones, Christopher K. R. T.
2 Kevrekidis, Ioannis George
2 Kooi, Bob W.
2 Labouriau, Isabel S.
2 Lamb, Jeroen S. W.
2 Mao, Yaping
2 Martens, Marco
2 Melbourne, Ian
2 Merino, Manuel
2 Morales, Carlos Arnoldo
2 Oldeman, Bart E.
2 Palmer, Kenneth James
2 Perko, Lawrence M.
2 Pirzada, Shariefuddin
2 Pokrovskiĭ, Alexeĭ Vadimovich
2 Qiao, Zhiqin
2 Rabinowitz, Paul Henry
2 Rademacher, Jens Diederich Michael
2 Rinaldi, Sergio
2 Rucklidge, Alastair M.
2 Sadhu, Susmita
2 Sander, Evelyn
2 Sardanyés, Josep
2 Shilnikov, Andrey L.
2 Shui, Shuliang
2 Sneyd, James
2 Teixeira, Marco Antonio
2 Tuma, Elías
...and 344 more Authors
all top 5

Cited in 96 Serials

34 Journal of Differential Equations
30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
23 Physica D
20 Chaos
15 Journal of Dynamics and Differential Equations
8 Applied Mathematics. Series B (English Edition)
8 Nonlinear Dynamics
8 Dynamical Systems
8 SIAM Journal on Applied Dynamical Systems
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Journal of Mathematical Analysis and Applications
6 Chaos, Solitons and Fractals
6 Transactions of the American Mathematical Society
5 Journal of Mathematical Biology
5 Mathematical Biosciences
5 Applied Mathematics and Computation
5 Ergodic Theory and Dynamical Systems
5 Chinese Annals of Mathematics. Series B
5 Nonlinear Analysis. Real World Applications
4 Science in China. Series A
4 Acta Mathematica Sinica. New Series
4 Nonlinear Analysis. Theory, Methods & Applications
3 Mathematical Methods in the Applied Sciences
3 Bulletin of Mathematical Biology
3 Theoretical Population Biology
3 Linear Algebra and its Applications
3 Journal of Nonlinear Science
3 Regular and Chaotic Dynamics
3 Acta Mathematica Sinica. English Series
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Theoretical Biology
2 Computers & Mathematics with Applications
2 Discrete Applied Mathematics
2 Discrete Mathematics
2 Journal of Algebra
2 Quarterly of Applied Mathematics
2 Theoretical Computer Science
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 Dynamics and Stability of Systems
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Indagationes Mathematicae. New Series
2 Discrete and Continuous Dynamical Systems. Series B
2 Mathematical Modelling of Natural Phenomena
2 Journal of Computational Dynamics
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 Advances in Mathematics
1 Archiv der Mathematik
1 Journal of Computational and Applied Mathematics
1 Kybernetika
1 Mathematische Annalen
1 Results in Mathematics
1 Advances in Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Japan Journal of Applied Mathematics
1 Graphs and Combinatorics
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 Japan Journal of Industrial and Applied Mathematics
1 Automation and Remote Control
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 The Australasian Journal of Combinatorics
1 Experimental Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Computational and Applied Mathematics
1 Discussiones Mathematicae. Graph Theory
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 Differential Equations and Dynamical Systems
1 Abstract and Applied Analysis
1 Journal of Combinatorial Optimization
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 Journal of Biological Systems
1 Qualitative Theory of Dynamical Systems
1 Journal of Zhejiang University. Science
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Multiscale Modeling & Simulation
1 Analysis in Theory and Applications
1 Computational Management Science
1 Mathematical Biosciences and Engineering
1 Journal of Biological Dynamics
1 Journal of Fixed Point Theory and Applications
1 Computational & Mathematical Methods in Medicine
1 Nonlinear Analysis. Hybrid Systems
1 Science China. Mathematics
1 Iranian Journal of Mathematical Chemistry
1 ISRN Biomathematics
1 The Art of Discrete and Applied Mathematics

Citations by Year