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Publications
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396 KB |
Costantino, R.F., Cushing,
J.M., Dennis, B. and Desharnais, R.A. 1995. Experimentally
induced transitions in the dynamic behavior of insect populations.
Nature 375: 227-230. |
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2719 KB |
Dennis, B., Desharnais,
R.A., Cushing, J.M. and Costantino, R.F. 1995. Nonlinear demographic
dynamics: mathematical models, statistical methods, and biological
experiments. Ecological Monographs 65:
261-281. |
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1084 KB |
Cushing, J.M.,
Dennis, B., Desharnais, R.A., and Costantino, R.F. 1996. An
interdisciplinary approach to understanding nonlinear ecological
dynamics. Ecological Modelling 92:
111-119. |
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1085 KB |
Desharnais, R.A. 1996. Strange
attractors: chaos theory as a catalyst for the collaboration
of science and art. Collaborative Inquiry in a Postmodern
Era: A Cat's Cradle 2: 27-35. |
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unavailable |
Henson, S.M. 1996. Existence
and stability of nontrivial periodic solutions of periodically
forced discrete dynamical systems. Journal of Difference
Equations Applications 2: 315–331. |
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346 KB |
Costantino, R.F., Desharnais,
R.A., Cushing, J.M., and Dennis, B. 1997. Chaotic dynamics
in an insect population. Science 275:
389-391. |
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318 KB |
Desharnais, R.A., Costantino,
R.F., Cushing, J.M., and Dennis, B. 1997. Estimating chaos
in an insect population. Reply to Perry et al. Science
276: 1881-1882. |
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unavailable |
Cushing, J.M. 1997. Nonlinear
matrix equations as models for structured populations. Pages
205-243 in "Structured Population Models in Marine, Terrestrial,
and Freshwater Systems," S. Tuljapurkar and H. Caswell
(editors), Chapman & Hall, New York. |
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2182 KB |
Desharnais, R.A. 1997. Population
dynamics of Tribolium. Pages 303-328 in "Structured
Population Models in Marine, Terrestrial, and Freshwater Systems,"
S. Tuljapurkar and H. Caswell (editors), Chapman & Hall,
New York. |
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2502 KB |
Dennis, B., Desharnais, R.A.,
Cushing, J.M., and Costantino, R.F. 1997. Transitions in population
dynamics: equilibria to periodic cycles to aperiodic cycles.
Journal of Animal Ecology 66: 704-729. |
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unavailable |
Henson, S.M. & Cushing,
J.M. 1997. The effect of periodic habitat fluctuations on
a nonlinear insect population model. Journal of Mathematical
Biology 36: 201-226. |
unavailable |
unavailable |
Henson,
S.M. 1998. A continuous, age structured insect population
model. Journal of Mathematical Biology 39:
217–243. |
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unavailable |
Henson,
S.M. 1998. Leslie matrix models as "stroboscopic snapshots"
of McKendrick PDE models. Journal of Mathematical Biology
37: 309–328. |
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2041 KB |
Costantino, R.F., Cushing,
J.M., Dennis, B., Desharnais, R.A., and Henson, S.M. 1998.
Resonant population cycles in temporally fluctuating habitats.
Bulletin of Mathematical Biology 60:
247-273. |
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892 KB |
Cushing, J.M., Dennis, B.,
Desharnais, R.A., and Costantino, R.F. 1998. Moving toward
an unstable equilibrium: saddle nodes in population systems.
Journal of Animal Ecology 67: 298-306. |
unavailable |
unavailable |
Cushing,
J.M. 1998. Periodically forced nonlinear systems of difference
equations. Journal of Difference Equations and Applications
3: 547–561. |
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1222 KB |
Cushing, J.M., Costantino,
R.F., Dennis, B., Desharnais, R.A., and Henson, S.M. 1998.
Nonlinear population dynamics: models, experiments, and data.
Journal of Theoretical Biology 194:
1–9. |
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875 KB |
Henson,
S.M., Cushing, J.M., Costantino, R.F., Dennis, B., and Desharnais,
R.A. 1999. Phase switching in population cycles. Proceedings
of the Royal Society, London B 265:
2229–2234. |
unavailable |
unavailable |
Henson,
S.M. 1999. The effect of periodicity in maps. Journal
of Difference Equations and Applications 5:
31–56. |
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2324 KB |
Henson,
S.M., Costantino, R.F., Cushing, J.M., Dennis, B., and Desharnais,
R.A. 1999. Multiple attractors and population dynamics in
periodic habitats. Bulletin of Mathematical Biology
61: 1121–1149. |
unavailable |
unavailable |
Henson,
S.M. 2000. Multiple attractors and resonance in periodically-forced
population models. Physica D: Nonlinear Phenomena
140: 33–49. |
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1577 KB |
Cushing,
J.M., Henson, S.M., Desharnais, R.A., Dennis, B., Costantino,
R.F., and King, A. 2001. A chaotic attractor in ecology: theory
and experimental data. Chaos, Solitons, and Fractals
12: 219–234. |
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560 KB |
Dennis,
B., Desharnais, R.A., Cushing, J.M., Henson, S.M. and Costantino,
R.F. 2001. Estimating chaos and complex dynamics in an insect
population. Ecological Monographs 71:
277–303. |
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1233 KB |
Desharnais,
R.A., Dennis, B., Cushing, J.M., Henson, S.M., and Costantino,
R.F. 2001. Chaos and population control of insect outbreaks.
Ecology Letters 4: 229–235. |
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545 KB |
Henson,
S.M., Costantino, R.F., Cushing, J.M., Desharnais, R.A., Dennis,
B., and King, A.A. 2001. Lattice effects observed in chaotic
dynamics of experimental populations. Science 294:
602–605. |
unavailable |
unavailable |
Cushing,
J.M. and Henson, S.M. 2001. Global dynamics of some periodically
forced, monotone difference equations. Journal of Difference
Equations and Applications 7: 859-872. |
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199 KB |
Henson,
S.M., Costantino, R.F., Desharnais, R.A., Cushing, J.M., and
Dennis, B. 2002. Basins of attraction: population dynamics
with two stable 4-cycles. Oikos 98:
17-24. |
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174 KB |
King, A.A., Desharnais, R.A., Henson, S.M., Costantino, R.F.,
Cushing, J.M., and Dennis, B. 2002. Random perturbations and
lattice effects in chaotic population dynamics: Reply to Domokos
and Scheuring. Science 297: 2163a. |
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This
work was supported in part by grants DMS-9306271, DMS-9319073, DMS-9625576,
DMS-9616205, DMS-9981374, DMS-9973126, DMS-9981458, and DMS-9981423
from the U.S. National Science Foundation.
All opinions expressed are those of the authors and not necessarily
those of the NSF. |
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Copyright
© 1997-2002, Robert A Desharnais
Department of Biological Sciences
California State University, Los Angeles, CA, 90032-8201
Email: rdeshar@calstatela.edu |
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