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Combining the Lyapunov function and the definitions of both the \u03b1-limit set and \u03c9-limit set, the following rigorous results are proved: infinitely many heteroclinic orbits to two families of parallel parabolic-type non-hyperbolic equilibria, two families of infinitely many pairs of isolated equilibria, an infinite set of isolated equilibria, and infinitely many pairs of isolated equilibria.<\/jats:p>","DOI":"10.3390\/axioms14040264","type":"journal-article","created":{"date-parts":[[2025,3,31]],"date-time":"2025-03-31T03:25:02Z","timestamp":1743391502000},"page":"264","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["A Novel Lorenz-like Attractor and Stability and Equilibrium Analysis"],"prefix":"10.3390","volume":"14","author":[{"given":"Jun","family":"Pan","sequence":"first","affiliation":[{"name":"School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haijun","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Taizhou University, Taizhou 318000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6467-9759","authenticated-orcid":false,"given":"Guiyao","family":"Ke","sequence":"additional","affiliation":[{"name":"School of Information, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang 322100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Feiyu","family":"Hu","sequence":"additional","affiliation":[{"name":"College of Sustainability and Tourism, Ritsumeikan Asia Pacific University, Beppu 874-8577, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"071101","DOI":"10.1063\/1.4986356","article-title":"Constructing an autonomous system with infinitely many chaotic attractors","volume":"27","author":"Zhang","year":"2017","journal-title":"Chaos Interdiscip. 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