Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/103063
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DC Field | Value | Language |
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dc.contributor.author | Balasuriya, S. | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Nonlinearity, 2016; 29(12):3897-3933 | - |
dc.identifier.issn | 0951-7715 | - |
dc.identifier.issn | 1361-6544 | - |
dc.identifier.uri | http://hdl.handle.net/2440/103063 | - |
dc.description.abstract | State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time. The impulses destroy the smooth invariant manifolds, necessitating new definitions for stable and unstable pseudo-manifolds. Their time-evolution is characterised by solving a Volterra integral equation of the second kind with discontinuous inhomogeniety. A criteria for heteroclinic trajectory persistence in this impulsive context is developed, as is a quantification of an instantaneous flux across broken heteroclinic manifolds. Several examples, including a kicked Duffing oscillator and an underwater explosion in the vicinity of an eddy, are used to illustrate the theory. | - |
dc.description.statementofresponsibility | Sanjeeva Balasuriya | - |
dc.language.iso | en | - |
dc.publisher | IOP Publishing | - |
dc.rights | © 2016 IOP Publishing Ltd & London Mathematical Society | - |
dc.source.uri | http://dx.doi.org/10.1088/0951-7715/29/12/3897 | - |
dc.subject | stable and unstable manifolds; Dirac delta impulses; Volterra integral equation; nonautonomous dynamics; heteroclinic bifurcation; Melnikov theory; impulsive differential equation | - |
dc.title | Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1088/0951-7715/29/12/3897 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/FT130100484 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Balasuriya, S. [0000-0002-3261-7940] | - |
Appears in Collections: | Aurora harvest 3 Mathematical Sciences publications |
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hdl_103063.pdf | Accepted version | 513.76 kB | Adobe PDF | View/Open |
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