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Bifurcation Chaos"],"published-print":{"date-parts":[[2018,5]]},"abstract":"<jats:p> Starting from the concept of invariant KAM tori for nearly-integrable Hamiltonian systems with periodic or quasi-periodic nonautonomous perturbation, the paper analyzes the \u201canalogue\u201d of this class of invariant objects when the dependence on time is aperiodic. <\/jats:p><jats:p> The investigation is carried out in a model motivated by the problem of a traveling wave in a channel over a smooth, quasi- and asymptotically flat (from which the \u201ctransient\u201d feature) bathymetry, representing a case in which the described structures play the role of barriers to fluid transport in phase space. <\/jats:p><jats:p> The paper provides computational evidence for the existence of transient structures also for \u201clarge\u201d values of the perturbation size, as a complement to the rigorous results already proven by the first author for real-analytic bathymetry functions. <\/jats:p>","DOI":"10.1142\/s021812741830015x","type":"journal-article","created":{"date-parts":[[2018,5,30]],"date-time":"2018-05-30T04:35:44Z","timestamp":1527654944000},"page":"1830015","source":"Crossref","is-referenced-by-count":0,"title":["Transient Invariant and Quasi-Invariant Structures in an Example of an Aperiodically Time Dependent Fluid Flow"],"prefix":"10.1142","volume":"28","author":[{"given":"Alessandro","family":"Fortunati","sequence":"first","affiliation":[{"name":"School of Mathematics, University of Bristol, BS8 1TW, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0780-0911","authenticated-orcid":false,"given":"Stephen","family":"Wiggins","sequence":"additional","affiliation":[{"name":"School of Mathematics, University of Bristol, BS8 1TW, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2018,5,30]]},"reference":[{"key":"S021812741830015XBIB001","first-page":"9","volume":"156","author":"Arnol\u2019d V. 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