乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,30]],"date-time":"2024-10-30T04:22:56Z","timestamp":1730262176430,"version":"3.28.0"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Ltd","issue":"12","funder":[{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2023,9,30]]},"abstract":"An innovative box-counting method is developed in this research for diagnozing the nonlinear characteristics of dynamical systems. With the method developed, an approach that depicts the evolutionary process on Poincar\u00e9 maps is established such that the nonlinear dynamical characteristics of the transient and stable process of the system can be graphically and quantitatively identified. A Duffing\u2013van der Pol system is adopted in the research to demonstrate an application of the method. A diagram graphically describing the periodic, quasiperiodic, chaotic, and transient chaotic regions of the system\u2019s responses is constructed based on the method. Furthermore, the nature of different box-point curves is explained based on the topology of chaos and quasiperiodicity. The method developed shows innovation and efficiency in diagnozing nonlinear dynamical systems based on the topological properties of general nonlinear systems.<\/jats:p>","DOI":"10.1142\/s0218127423501390","type":"journal-article","created":{"date-parts":[[2023,10,5]],"date-time":"2023-10-05T09:11:02Z","timestamp":1696497062000},"source":"Crossref","is-referenced-by-count":0,"title":["A Box-Counting Method for Characteristic Diagnosis of Nonlinear Dynamical Systems"],"prefix":"10.1142","volume":"33","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-7870-9656","authenticated-orcid":false,"given":"Zhengyuan","family":"Zhang","sequence":"first","affiliation":[{"name":"Sino-Canada Nonlinear Science and Complex Systems Center, Wuhan Polytechnic University, Wuhan 430023, P. R. 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