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Transient linear growth and nonlinear effects

Hooper, A. P.; Hooper, Alison P.; Grimshaw, R.

Authors

A. P. Hooper

Alison P. Hooper

R. Grimshaw



Abstract

We study a simple model consisting of two coupled nonlinear ordinary differential equations to display the interplay between transient linear growth and nonlinear effects. Specifically, we seek to examine any possible links between the initial conditions that yield maximum transient linear growth and those initial conditions that first lead to attraction to a stable critical point other than the origin. Our results show that any such link is only apparent when the nonlinearity is small.

Citation

Hooper, A. P., Hooper, A. P., & Grimshaw, R. (2001). Transient linear growth and nonlinear effects. Studies in Applied Mathematics, 106(1), 47-68. https://doi.org/10.1111/1467-9590.00160

Journal Article Type Article
Publication Date Jan 1, 2001
Journal Studies in Applied Mathematics
Print ISSN 0022-2526
Publisher Wiley
Peer Reviewed Not Peer Reviewed
Volume 106
Issue 1
Pages 47-68
DOI https://doi.org/10.1111/1467-9590.00160
Keywords transient linear growth, nonlinear effects
Public URL https://uwe-repository.worktribe.com/output/1091222
Publisher URL http://dx.doi.org/10.1111/1467-9590.00160


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