{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,26]],"date-time":"2023-08-26T13:17:51Z","timestamp":1693055871894},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,12]]},"abstract":"<jats:p>Some observations are made on the Belousov\u2013Zhabotinskii reaction simulated via the Field\u2013Noyes model, also referred to as the Oregonator, and its modification. The simulation is performed with the aid of a cell-to-cell mapping for global analysis. Regarding the standard Oregonator, a two-dimension-like region in the three-dimensional phase space is detected showing the sensitive dependence of short-term ODE integrations on initial conditions. Trajectories with initial conditions closely located in this region may experience a phase lag if they eventually approach the same stable limit cycle connected with a subcritical Hopf bifurcation. When a flow term is added to the Oregonator, chaos can be brought about to mimic the experimental finding by suitably pleating the slow manifold. Coexistent attractors now may have a chaotic member and a fractal separatrix detected by the global analysis. The above mentioned sensitive region is found to play a significant role in shaping the pleating in order for chaos to happen in a manner analogous to the \"screw-type\" proposed by [R\u00f6ssler, 1977] as one of the two prototypes for three-variable systems. Some relevant calculations of Lyapunov exponents, fractal dimensions and power spectra are also included.<\/jats:p>","DOI":"10.1142\/s0218127407019998","type":"journal-article","created":{"date-parts":[[2008,3,11]],"date-time":"2008-03-11T14:35:40Z","timestamp":1205246140000},"page":"4337-4353","source":"Crossref","is-referenced-by-count":7,"title":["OREGONATOR-BASED SIMULATION OF THE BELOUSOV\u2013ZHABOTINSKII REACTION"],"prefix":"10.1142","volume":"17","author":[{"given":"MO-HONG","family":"CHOU","sequence":"first","affiliation":[{"name":"Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"HSIU-CHUAN","family":"WEI","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Feng-Chia University, Seatwen, Taichung 407, Taiwan"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"YU-TUAN","family":"LIN","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan"}],"role":[{"role":"author","vocab":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","unstructured":"B. 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