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The harmonic frequency-amplitude characteristics for periodic flows are obtained, which provide energy distribution in the parameter space. Analytical homoclinic orbits for the convective fluid flow systems are developed for the asymptotic convection through the infinite-many homoclinic orbits in the five-dimensional dynamical system. The dynamics of fluid flows in the convective thermal systems are revealed, and one can use such methodology to predict atmospheric and oceanic phenomena through thermal convections. <\/jats:p>","DOI":"10.1142\/s0218127424300155","type":"journal-article","created":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T09:00:50Z","timestamp":1717750850000},"source":"Crossref","is-referenced-by-count":0,"title":["Dynamics and Chaos of Convective Fluid Flow"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4377-6207","authenticated-orcid":false,"given":"Siyu","family":"Guo","sequence":"first","affiliation":[{"name":"Department of Mechanical and Mechatronics Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8208-6108","authenticated-orcid":false,"given":"Albert C. 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