Bo Deng, PhD

Professor

  • 664 Citations
  • 14 h-Index
1989 …2019
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Research Output 1989 2019

  • 664 Citations
  • 14 h-Index
  • 42 Article
  • 1 Comment/debate
  • 1 Conference article
  • 1 Letter
2019

Neuron model with conductance-resistance symmetry

Deng, B., Jan 1 2019, (Accepted/In press) In : Physics Letters, Section A: General, Atomic and Solid State Physics. 125976.

Research output: Contribution to journalArticle

neurons
symmetry
spikes
bursts
mathematical models
2018

An Inverse Problem: Trappers Drove Hares to Eat Lynx

Deng, B., Sep 1 2018, In : Acta Biotheoretica. 66, 3, p. 213-242 30 p.

Research output: Contribution to journalArticle

Lynx
Hares
hares
Predator
inverse problem

MOCASSIN-prot: A multi-objective clustering approach for protein similarity networks

Keel, B. N., Deng, B. & Moriyama, E. N., Apr 15 2018, In : Bioinformatics. 34, 8, p. 1270-1277 8 p.

Research output: Contribution to journalArticle

Cluster Analysis
Clustering
Proteins
Protein
Divergence
2017
1 Citation (Scopus)

Alternative Models to Hodgkin–Huxley Equations

Deng, B., Jun 1 2017, In : Bulletin of Mathematical Biology. 79, 6, p. 1390-1411 22 p.

Research output: Contribution to journalArticle

Ion Channels
ion channels
Action Potentials
Alternatives
Theoretical Models
2 Citations (Scopus)

Numerical proof for chemostat chaos of Shilnikov's type

Deng, B., Han, M. & Hsu, S. B., Mar 1 2017, In : Chaos. 27, 3, 033106.

Research output: Contribution to journalArticle

Chemostats
Chemostat
Homoclinic Orbit
Chaos theory
Chemostat Model
2014
4 Citations (Scopus)

A male spider's ornamentation polymorphism maintained by opposing selection with two niches

Deng, B., Estes, A., Grieb, B., Richard, D., Hinds, B. & Hebets, E., Sep 21 2014, In : Journal of Theoretical Biology. 357, p. 103-111 9 p.

Research output: Contribution to journalArticle

Spiders
Niche
Genetic Models
Population Genetics
Censuses
2011
1 Citation (Scopus)

Neural spike renormalization. Part II - Multiversal chaos

Deng, B., Mar 15 2011, In : Journal of Differential Equations. 250, 6, p. 2958-2968 11 p.

Research output: Contribution to journalArticle

Spike
Chaos theory
Renormalization
Neurons
Chaos
1 Citation (Scopus)

Neural spike renormalization. Part I - Universal number 1

Deng, B., Mar 15 2011, In : Journal of Differential Equations. 250, 6, p. 2940-2957 18 p.

Research output: Contribution to journalArticle

Spike
Energy conversion
Chaos theory
Renormalization
Neurons
2010
2 Citations (Scopus)

From energy gradient and natural selection to biodiversity and stability

Deng, B., Dec 1 2010, In : Open Ecology Journal. 3, p. 95-110 16 p.

Research output: Contribution to journalArticle

natural selection
interspecific competition
biodiversity
carnivore
endangered species
3 Citations (Scopus)

Metastability and plasticity in some conceptual models of neurons

Deng, B., Mar 1 2010, In : Journal of Integrative Neuroscience. 9, 1, p. 31-47 17 p.

Research output: Contribution to journalArticle

Ion Pumps
Plastics
Neurons
Membrane Potentials
Action Potentials
2009
2 Citations (Scopus)

Can discrete modellers work without the TIP?

Deng, B., Oct 10 2009, In : Ecological Modelling. 220, 19, p. 2600-2601 2 p.

Research output: Contribution to journalLetter

5 Citations (Scopus)

Conceptual circuit models of neurons

Deng, B., Sep 1 2009, In : Journal of Integrative Neuroscience. 8, 3, p. 255-297 43 p.

Research output: Contribution to journalArticle

Ion Pumps
Neurons
Membranes
Action Potentials
2008
10 Citations (Scopus)

The Time Invariance Principle, the absence of ecological chaos, and a fundamental pitfall of discrete modeling

Deng, B., Jul 24 2008, In : Ecological Modelling. 215, 4, p. 287-292 6 p.

Research output: Contribution to journalArticle

chaotic dynamics
calculi
physics
teaching
modeling
2007
10 Citations (Scopus)

Biological control does not imply paradox

Deng, B., Jessie, S., Ledder, G., Rand, A. & Srodulski, S., Jul 1 2007, In : Mathematical Biosciences. 208, 1, p. 26-32 7 p.

Research output: Contribution to journalArticle

Biological Control
Paradox
biological control
Acoustic waves
predators
14 Citations (Scopus)

Competitive coexistence in stoichiometric chaos

Deng, B. & Loladze, I., Jan 1 2007, In : Chaos. 17, 3, 033108.

Research output: Contribution to journalArticle

Prey
Coexistence
Chaos theory
Chemical elements
chaos

The origin of two sexes through optimization of recombination entropy against time and energy

Deng, B., Aug 1 2007, In : Bulletin of Mathematical Biology. 69, 6, p. 2105-2114 10 p.

Research output: Contribution to journalArticle

Entropy
entropy
Recombination
Genetic Recombination
recombination
2006
13 Citations (Scopus)

Equilibriumizing all food chain chaos through reproductive efficiency

Deng, B., Jan 1 2006, In : Chaos. 16, 4, 043125.

Research output: Contribution to journalArticle

food chain
Food Chain
predators
Predator
Chaos theory
1 Citation (Scopus)

Why is the number of DNA bases 4?

Deng, B., Apr 1 2006, In : Bulletin of Mathematical Biology. 68, 3, p. 727-733 7 p.

Research output: Contribution to journalArticle

DNA Replication
DNA replication
Pairing
DNA
communication
2005

Erratum: Chaotic coexistence in a top-predator mediated competitive exclusive web (Journal of Dynamics and Differential Equations (2004) 16 (1061-1092))

Bockelman, B., Deng, B., Green, E., Hines, G., Lippitt, L. & Sherman, J., Jan 1 2005, In : Journal of Dynamics and Differential Equations. 17, 1, 1 p.

Research output: Contribution to journalComment/debate

Predator
Dynamic Equation
Coexistence
Differential equation
7 Citations (Scopus)

Food web chaos without subchain oscillators

Bockelman, B. & Deng, B., Nov 2005, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 15, 11, p. 3481-3492 12 p.

Research output: Contribution to journalArticle

Food Web
Hopf bifurcation
Predator
Chaos theory
Hopf Bifurcation
2004
35 Citations (Scopus)

Food chain chaos with canard explosion

Deng, B., Dec 2004, In : Chaos. 14, 4, p. 1083-1092 10 p.

Research output: Contribution to journalArticle

food chain
Canard
Food Chain
predators
Chaos theory
2003
22 Citations (Scopus)

Food chain chaos due to transcritical point

Deng, B. & Hines, G., Jun 2003, In : Chaos. 13, 2, p. 578-585 8 p.

Research output: Contribution to journalArticle

food chain
Food Chain
Chaos theory
chaos
Chaos
2002
44 Citations (Scopus)

Food chain chaos due to Shilnikov's orbit

Deng, B. & Hines, G., Sep 2002, In : Chaos. 12, 3, p. 533-538 6 p.

Research output: Contribution to journalArticle

food chain
Food Chain
predators
Predator
Chaos theory
32 Citations (Scopus)

Singular perturbation of N-front travelling waves in the Fitzhugh-Nagumo equations

Bell, D. C. & Deng, B., Dec 1 2002, In : Nonlinear Analysis: Real World Applications. 3, 4, p. 515-541 27 p.

Research output: Contribution to journalArticle

FitzHugh-Nagumo Equations
Traveling Wavefronts
Singular Perturbation
Traveling wave
Singular perturbation
2001
3 Citations (Scopus)

Chaotic attractors in one-dimension generated by a singular Shilnikov orbit

Taylor, K. J. & Deng, B., Dec 2001, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 11, 12, p. 3059-3083 25 p.

Research output: Contribution to journalArticle

Chaotic Attractor
One Dimension
Attractor
Orbits
Orbit
43 Citations (Scopus)

Food chain chaos due to junction-fold point

Deng, B., Sep 2001, In : Chaos. 11, 3, p. 514-525 12 p.

Research output: Contribution to journalArticle

food chain
Food Chain
Chaos theory
chaos
Chaos

On a nonlinear communication scheme

Chow, S. N., Deng, B. & Hale, J. K., Jan 1 2001, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 11, 8, p. 2227-2232 6 p.

Research output: Contribution to journalArticle

Encoding
Chaotic systems
Basin of Attraction
Communication
Chaotic System
1999

Dynamic behavior of a ferroelectric actuator

Deng, B. & Jiang, Q., Mar 1999, In : Mathematics and Mechanics of Solids. 4, 1, p. 89-107 19 p.

Research output: Contribution to journalArticle

Dynamic Behavior
Ferroelectric materials
Actuator
Polarization
Actuators
21 Citations (Scopus)

Glucose-induced period-doubling cascade in the electrical activity of pancreatic β-cells

Deng, B., Jan 1999, In : Journal of Mathematical Biology. 38, 1, p. 21-78 58 p.

Research output: Contribution to journalArticle

Period Doubling
Glucose
Spike
Cascade
oscillation
2 Citations (Scopus)

Theory and application of a nongeneric heteroclinic loop bifurcation

Chow, S. N., Deng, B. & Friedman, M. J., Jan 1 1999, In : SIAM Journal on Applied Mathematics. 59, 4, p. 1303-1321 19 p.

Research output: Contribution to journalArticle

Melnikov Function
Homoclinic
Bifurcation Diagram
Two-phase Flow
Unfolding
1998

Stress intensification due to polarization switching

Fang, H., Deng, B. & Jiang, Q., Dec 1 1998, In : Proceedings of SPIE - The International Society for Optical Engineering. 3323, p. 109-118 10 p.

Research output: Contribution to journalConference article

Electric Field
Polarization
Electric fields
electric fields
polarization
1996
9 Citations (Scopus)

Exponential expansion with principal eigenvalues

Deng, B., Jun 1996, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 6, 6, p. 1161-1167 7 p.

Research output: Contribution to journalArticle

Exponential Bound
Principal Eigenvalue
Equilibrium Point
Formulation
Arbitrary
6 Citations (Scopus)
Saddle
Chaos theory
Attractor
Chaos
Chaotic Attractor
1995
7 Citations (Scopus)

Conjugation for polynomial mappings

Deng, B., Meisters, G. H. & Zampieri, G., Nov 1 1995, In : ZAMP Zeitschrift für angewandte Mathematik und Physik. 46, 6, p. 872-882 11 p.

Research output: Contribution to journalArticle

Polynomial Mapping
Conjugation
conjugation
polynomials
Ball
17 Citations (Scopus)

Šil’nikov-hopf bifurcations

Deng, B. & Sakamoto, K., Jun 1995, In : Journal of Differential Equations. 119, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

Hopf Bifurcation
1994
9 Citations (Scopus)

A mathematical model that mimics the bursting oscillations in pancreatic β-cells

Deng, B., Feb 1994, In : Mathematical Biosciences. 119, 2, p. 241-250 10 p.

Research output: Contribution to journalArticle

Singularly Perturbed Systems
Bursting
Glucose
Chaos theory
oscillation
1993
38 Citations (Scopus)

Homoclinic twisting bifurcations and cusp horseshoe maps

Deng, B., Jul 1 1993, In : Journal of Dynamics and Differential Equations. 5, 3, p. 417-467 51 p.

Research output: Contribution to journalArticle

Homoclinic Bifurcation
Horseshoe
Cusp
Unstable Manifold
Singularly Perturbed Systems
28 Citations (Scopus)

On šilnikov′s homoclinic-saddle-focus theorem

Deng, B., Apr 1993, In : Journal of Differential Equations. 102, 2, p. 305-329 25 p.

Research output: Contribution to journalArticle

Homoclinic
Saddle
Unstable Manifold
Homoclinic Orbit
Chaotic Dynamics
1992
15 Citations (Scopus)

Smooth conjugacy of centre manifolds

Burchard, A., Deng, B. & Lu, K., Jan 1 1992, In : Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 120, 1-2, p. 61-77 17 p.

Research output: Contribution to journalArticle

Center Manifold
Conjugacy
Unstable Manifold
Foliation
System of Ordinary Differential Equations
5 Citations (Scopus)
Homoclinic
Orbits
Transverse
Bifurcation
Fixed point
1991
6 Citations (Scopus)

The Bifurcation of Homoclinic Orbits from Two Heteroclinic Orbits—A Topological Approach

Chow, S. N., Deng, B. & Terman, D., Dec 1 1991, In : Applicable Analysis. 42, 1-4, p. 1057-1080 24 p.

Research output: Contribution to journalArticle

FitzHugh-Nagumo Equations
Homoclinic Orbit
Traveling Wave Solutions
Reaction-diffusion Equations
Ordinary differential equations
1990
115 Citations (Scopus)

Homoclinic bifurcation at resonant eigenvalues

Chow, S. N., Deng, B. & Fiedler, B., Apr 1 1990, In : Journal of Dynamics and Differential Equations. 2, 2, p. 177-244 68 p.

Research output: Contribution to journalArticle

Homoclinic Bifurcation
Homoclinic Orbit
Bifurcation
Eigenvalue
Period Doubling
1989
10 Citations (Scopus)

Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems

Chow, S. N. & Deng, B., Apr 1989, In : Transactions of the American Mathematical Society. 312, 2, p. 539-587 49 p.

Research output: Contribution to journalArticle

Retarded Functional Differential Equations
Infinite-dimensional Systems
Semilinear Parabolic Equation
Homoclinic Orbit
Periodic Orbits
20 Citations (Scopus)

Exponential expansion with Šil'nikov's saddle-focus

Deng, B., Nov 1989, In : Journal of Differential Equations. 82, 1, p. 156-173 18 p.

Research output: Contribution to journalArticle

Saddle
101 Citations (Scopus)
Homoclinic Bifurcation
Linearization
Lemma