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- Frank Schilder, Bruce B. Peckham
- J. Comput. Physics
- 2007

A famous phenomenon in circle-maps and synchronisation problems leads to a two-parameter bifurcation diagram commonly referred to as the Arnold tongue scenario. One considers a perturbation of aâ€¦ (More)

- Richard McGehee, Bruce B. Peckham
- Experimental Mathematics
- 1994

This research was partially supported by NSF grants DMS-9020220 and DMS-9206957. The study of resonances in systems such as periodically forced oscillators has traditionally focused on understandingâ€¦ (More)

- Bruce B. Peckham
- 2000

Periodically forced planar oscillators are typically studied by varying the two parameters of forcing amplitude and forcing frequency. Such differential equations can be reduced via stroboscopicâ€¦ (More)

In a one-parameter study of a noninvertible family of maps of the plane arising in the context of a numerical integration scheme, Lorenz studied a sequence of transitions from an attracting fixedâ€¦ (More)

z 7â†’ z + c+ Î²/z, where the dynamic variable z âˆˆ C, and C is identified with R. The parameters c and Î² are complex; n and d are positive integers. For Î² small, this family can be considered aâ€¦ (More)

- Wendy Gruner Graves, Bruce B. Peckham, John J. Pastor
- Bulletin of mathematical biology
- 2006

We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions. The model is similar in spirit to a commonly cited model [Dean, A.M.,â€¦ (More)

- John J. Pastor, Bruce B. Peckham, Scott D. Bridgham, Jake F. Weltzin, Jiquan Chen
- The American naturalist
- 2002

Although observational data and experiments suggest that carbon flux and storage in peatlands are controlled by hydrology and/or nutrient availability, we lack a rigorous theory to account for theâ€¦ (More)

- Bruce B. Peckham
- 1998

This study provides some connections between bifurcations of onecomplex-parameter complex analytic families of maps of the complex plane C and bifurcations of more general two-real-parameter familiesâ€¦ (More)

- Harlan W. Stech, Bruce B. Peckham, John J. Pastor
- Theoretical population biology
- 2012

This paper presents the derivation and partial analysis of a general producer-consumer model. The model is stoichiometric in that it includes the growth constraints imposed by species-specificâ€¦ (More)

- Harlan W. Stech, Bruce B. Peckham, John J. Pastor
- Journal of biological dynamics
- 2012

This article compares a general closed nutrient, stoichiometric producer-consumer model to a two-dimensional 'quasi-equilibrium' approximation. We demonstrate that the quasi-equilibrium system can beâ€¦ (More)