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1

Properties of solutions of ordinary differential equations with small parameters

Frank Hoppensteadt

Journal:

Communications on Pure and Applied Mathematics

Year:

1971

Language:

english

File:

PDF, 1.18 MB

english, 1971

2

Slowly Coupled Oscillators: Phase Dynamics and Synchronization

Eugene M. Izhikevich and Frank C. Hoppensteadt

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 447 KB

english, 2003

3

Slowly Modulated Oscillations in Nonlinear Diffusion Processes

Cohen, Donald S., Hoppensteadt, Frank C., Miura, Robert M.

Journal:

SIAM Journal on Applied Mathematics

Year:

1977

Language:

english

File:

PDF, 1.09 MB

english, 1977

4

On systems of ordinary differential equations with several parameters multiplying the derivatives

Frank Hoppensteadt

Journal:

Journal of Differential Equations

Year:

1969

Language:

english

File:

PDF, 507 KB

english, 1969

5

Asymptotic stability in singular perturbation problems. II: Problems having matched asymptotic expansion solutions

Frank Hoppensteadt

Journal:

Journal of Differential Equations

Year:

1974

Language:

english

File:

PDF, 476 KB

english, 1974

6

Analysis of Some Problems Having Matched Asymptotic Expansion Solutions

Frank Hoppensteadt

Journal:

Year:

1975

Language:

english

File:

PDF, 1.03 MB

english, 1975

7

Singular Perturbations on the Infinite Interval

Frank Charles Hoppensteadt

Journal:

Transactions of the American Mathematical Society

Year:

1966

Language:

english

File:

PDF, 1.45 MB

english, 1966

8

A problem in the theory of epidemics

Frank Hoppensteadt, Paul Waltman

Journal:

Mathematical Biosciences

Year:

1970

Language:

english

File:

PDF, 975 KB

english, 1970

9

A problem in the theory of epidemics, II

Frank Hoppensteadt, Paul Waltman

Journal:

Mathematical Biosciences

Year:

1971

Language:

english

File:

PDF, 637 KB

english, 1971

10

System of Phase Oscillators with Diagonalizable Interaction

Hoppensteadt, Frank C., Nishikawa, Takashi

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 184 KB

english, 2003

11

Slowly Coupled Oscillators: Phase Dynamics and Synchronization

Izhikevich, Eugene M., Hoppensteadt, Frank C.

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 282 KB

english, 2003

12

A Particle Method for Population Waves

Chichia, Chiu, Hoppensteadt, Frank C.

Journal:

SIAM Journal on Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 1.02 MB

english, 1994

13

Singular Perturbation Solutions of Noisy Systems

Hoppensteadt, Frank C.

Journal:

SIAM Journal on Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 809 KB

english, 1995

14

Mathematical Aspects of Microbial Ecology || Editorial

Frank Hoppensteadt, Douglas A. Lauffenburger and Paul Waltman

Journal:

Microbial Ecology

Year:

1991

Language:

english

File:

PDF, 98 KB

english, 1991

15

Slowly Modulated Oscillations in Nonlinear Diffusion Processes

Donald S. Cohen, Frank C. Hoppensteadt and Robert M. Miura

Journal:

SIAM Journal on Applied Mathematics

Year:

1977

Language:

english

File:

PDF, 923 KB

english, 1977

16

Singular Perturbation Solutions of Noisy Systems

Frank C. Hoppensteadt

Journal:

SIAM Journal on Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 704 KB

english, 1995

17

A Particle Method for Population Waves

Chichia Chiu and Frank C. Hoppensteadt

Journal:

SIAM Journal on Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 266 KB

english, 1994

18

System of Phase Oscillators with Diagonalizable Interaction

Takashi Nishikawa and Frank C. Hoppensteadt

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 338 KB

english, 2003

19

CLASSIFICATION OF BURSTING MAPPINGS

IZHIKEVICH, EUGENE M., HOPPENSTEADT, FRANK

Journal:

International Journal of Bifurcation and Chaos

Year:

2004

Language:

english

File:

PDF, 277 KB

english, 2004

20

Multitime Methods for Systems of Difference Equations

Hoppensteadt, Frank C., Miranker, Willard L.

Journal:

Studies in Applied Mathematics

Year:

1977

Language:

english

File:

PDF, 1.49 MB

english, 1977

21

On quasilinear parabolic equations with a small parameter

Frank Hoppensteadt

Journal:

Communications on Pure and Applied Mathematics

Year:

1971

Language:

english

File:

PDF, 727 KB

english, 1971

22

Nonlinear stability analysis of static states which arise through bifurcation

Frank Hoppensteadt, Noam Gordon

Journal:

Communications on Pure and Applied Mathematics

Year:

1975

Language:

english

File:

PDF, 726 KB

english, 1975

23

An Age Dependent Epidemic Model

Frank Hoppensteadt

Journal:

Journal of the Franklin Institute

Year:

1974

Language:

english

File:

PDF, 547 KB

english, 1974

24

Asymptotic stability in singular perturbation problems

Frank Hoppensteadt

Journal:

Journal of Differential Equations

Year:

1968

Language:

english

File:

PDF, 390 KB

english, 1968

25

Stability in systems with parameter

Frank Hoppensteadt

Journal:

Journal of Mathematical Analysis and Applications

Year:

1967

Language:

english

File:

PDF, 257 KB

english, 1967

26

Asymptotic series solutions for nonlinear ordinary differential equations with a small parameter

Frank Hoppensteadt

Journal:

Journal of Mathematical Analysis and Applications

Year:

1969

Language:

english

File:

PDF, 695 KB

english, 1969

27

A theory of epineuronal memory

Roman Borisyuk, Frank Hoppensteadt

Journal:

Neural Networks

Year:

2004

Language:

english

File:

PDF, 435 KB

english, 2004

28

Oscillatory associative memory network with perfect retrieval

Takashi Nishikawa, Frank C. Hoppensteadt, Ying-Cheng Lai

Journal:

Physica D: Nonlinear Phenomena

Year:

2004

Language:

english

File:

PDF, 237 KB

english, 2004

29

The dynamics of small neural populations: by John Milton, CRM monograph series, volume 7, American Mathematics Society, Providence, RI, 1996. $35.00 (cloth), xviii + 125 pp

Frank Hoppensteadt

Journal:

Bulletin of Mathematical Biology

Year:

1997

Language:

english

File:

PDF, 301 KB

english, 1997

30

An oscillatory neural network model of sparse distributed memory and novelty detection

Roman Borisyuk, Mike Denham, Frank Hoppensteadt, Yakov Kazanovich, Olga Vinogradova

Journal:

Year:

2000

Language:

english

File:

PDF, 177 KB

english, 2000

31

Thalamo-cortical interactions modeled by weakly connected oscillators: could the brain use FM radio principles?

Frank C. Hoppensteadt, Eugene M. Izhikevich

Journal:

Year:

1998

Language:

english

File:

PDF, 244 KB

english, 1998

32

Response of a solutivory chain to a nutrient pulse

Frank C. Hoppensteadt, Paul M. Johnson

Journal:

Journal of Mathematical Biology

Year:

1994

Language:

english

File:

PDF, 142 KB

english, 1994

33

Analysis and computer simulation of accretion patterns in bacterial cultures

Chichia Chiu, Frank C. Hoppensteadt, Willi Jäger

Journal:

Journal of Mathematical Biology

Year:

1994

Language:

english

File:

PDF, 908 KB

english, 1994

34

Book reviews

Frank Hoppensteadt, Harold M. Hastings, Michael Mesterton-Gibbons, K. A. Jane White, Henry D. I. Abarbanel, Michael G. Neubert, Mark Pernarowski

Journal:

Bulletin of Mathematical Biology

Year:

1997

Language:

english

File:

PDF, 1.28 MB

english, 1997

35

Editorial

Frank Hoppensteadt, Douglas A. Lauffenburger, Paul Waltman

Journal:

Microbial Ecology

Year:

1991

Language:

english

File:

PDF, 101 KB

english, 1991

36

Mathematical models and simulations of bacterial growth and chemotaxis in a diffusion gradient chamber

Chichia Chiu, Frank C. Hoppensteadt

Journal:

Journal of Mathematical Biology

Year:

2001

Language:

english

File:

PDF, 1.11 MB

english, 2001

37

Activity patterns in networks stabilized by background oscillations

Frank Hoppensteadt

Journal:

Biological Cybernetics

Year:

2009

Language:

english

File:

PDF, 179 KB

english, 2009

38

Unfolding an electronic integrate-and-fire circuit

Humberto Carrillo, Frank Hoppensteadt

Journal:

Biological Cybernetics

Year:

2010

Language:

english

File:

PDF, 389 KB

english, 2010

39

Synaptic organizations and dynamical properties of weakly connected neural oscillators

Frank C. Hoppensteadt, Eugene M. Izhikevich

Journal:

Biological Cybernetics

Year:

1996

Language:

english

File:

PDF, 208 KB

english, 1996

40

Synaptic organizations and dynamical properties of weakly connected neural oscillators II. Learning phase information

Frank C. Hoppensteadt, Eugene M. Izhikevich

Journal:

Biological Cybernetics

Year:

1996

Language:

english

File:

PDF, 172 KB

english, 1996

41

Oscillatory models of the hippocampus: A study of spatio-temporal patterns of neural activity

Roman Borisyuk, Frank Hoppensteadt

Journal:

Biological Cybernetics

Year:

1999

Language:

english

File:

PDF, 1.01 MB

english, 1999

42

The use of a HEMOCHRON® JR. HEMONOX™ point of care test in monitoring the anticoagulant effects of enoxaparin during interventional coronary procedures

Soumaya El Rouby, Marc Cohen, Andrea Gonzales, Debra Hoppensteadt, Ted Lee, Marcia L. Zucker, Khaula Khalid, Frank M. LaDuca, Jawed Fareed

Journal:

Journal of Thrombosis and Thrombolysis

Year:

2006

Language:

english

File:

PDF, 344 KB

english, 2006

43

Memorizing and recalling spatial–temporal patterns in an oscillator model of the hippocampus

Roman M. Borisyuk, Frank C. Hoppensteadt

Journal:

Year:

1998

Language:

english

File:

PDF, 191 KB

english, 1998

44

Differential prevalence of anti-heparin-PF4 immunoglobulin subtypes in patients treated with clivarin and heparin: Implications in the HIT pathogenesis

Sarfraz Ahmad, Brian Untch, Sylvia Haas, Debra A. Hoppensteadt, Frank Misselwitz, Harry L. Messmore, Jeanine M. Walenga, Jawed Fareed

Journal:

Molecular and Cellular Biochemistry

Year:

2004

Language:

english

File:

PDF, 142 KB

english, 2004

45

519: The effect of 17-alpha hydroxyprogesterone caproate (17P) on the midtrimester, proinflammatory milieu of the human cervix

Renata Wilczek, Frank Schubert, Debra Hoppensteadt, John Gianopoulos, Richard Besinger, Josephine Cunanan, Robert Mittendorf

Journal:

American Journal of Obstetrics and Gynecology

Year:

2012

Language:

english

File:

PDF, 202 KB

english, 2012

46

Comparison of Platelet Function and Morphology in Patients Undergoing Percutaneous Coronary Intervention Receiving Bivalirudin Versus Unfractionated Heparin Versus Clopidogrel Pretreatment and Bivalirudin

Sunil X. Anand, Michael C. Kim, Mazullah Kamran, Samin K. Sharma, Annapoorna S. Kini, Jawed Fareed, Debra A. Hoppensteadt, Frank Carbon, Erdal Cavusoglu, David Varon, Juan F. Viles-Gonzalez, Juan J. B

Journal:

The American Journal of Cardiology

Year:

2007

Language:

english

File:

PDF, 779 KB

english, 2007

47

A slow selection analysis of two locus, two allele traits

Frank C. Hoppensteadt

Journal:

Theoretical Population Biology

Year:

1976

Language:

english

File:

PDF, 652 KB

english, 1976

48

Differential effects of clivarin and heparin in patients undergoing hip and knee surgery for the generation of anti-heparin-platelet factor 4 antibodies

Sarfraz Ahmad, Sylvia Haas, Debra A Hoppensteadt, Helen Lietz, Ulrike Reid, Norbert Bender, Harry L Messmore, Frank Misselwitz, Peter Bacher, Bhavna S Gaikwad, Walter P Jeske, Jeanine M Walenga, Jawed

Journal:

Thrombosis Research

Year:

2002

Language:

english

File:

PDF, 150 KB

english, 2002

49

Bursts as a unit of neural information: selective communication via resonance

Eugene M. Izhikevich, Niraj S. Desai, Elisabeth C. Walcott, Frank C. Hoppensteadt

Journal:

Trends in Neurosciences

Year:

2003

Language:

english

File:

PDF, 442 KB

english, 2003

50

Asymptotic series solutions of some nonlinear parabolic equations with a small parameter

Frank Hoppensteadt

Journal:

Archive for Rational Mechanics and Analysis

Year:

1969

Language:

english

File:

PDF, 597 KB

english, 1969

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