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- W2055331441 endingPage "169" @default.
- W2055331441 startingPage "134" @default.
- W2055331441 abstract "We first focus on complex dynamical phenomena generated by chemical kinetics in homogeneous media. We comment on the alternating sequences of periodic and chaotic states observed in some experiments on the Belousov-Zhabotinsky reaction when conducted in a continuously stirred tank reactor. We present numerical results obtained with a seven-variable Oregonator model which reproduce most of the features of the experimental sequences. We discuss the origin and the nature of the chemical chaos encountered along these sequences in terms of the chaotic orbits which exist on the way to homoclinicity. We construct Poincaré map models which reduce to either multi-humped or multi-branched 1D maps in the strong area contraction limit. We report on a recent experiment which provides evidence that the iteration scheme deduced from the time-series of “spiral-type” strange attractors satistifies the symbolic dynamics predicted by Šil'nikov theory of homoclinic chaos. We then investigate spatio-temporal pattern forming phenomena in a one-dimensional reaction-diffusion system with equal diffusion coefficients. When imposing a concentration gradient through the system, this model mimics the sustained stationary and periodically oscillating “front structures” observed in recent experiments conducted in an open Couette flow reactor. We emphasize the possibility that the oscillations of the spatial structure become chaotic. We report on numerical simulations of a diffusion-induced intermittent bursting phenomenon that is likely to be observed in bench experiments. We elaborate on the interpretation of this intermittent occurrence of spatially localized structures in an extended system in terms of Šil'nikov's homoclinic chaos." @default.
- W2055331441 created "2016-06-24" @default.
- W2055331441 creator A5023201158 @default.
- W2055331441 creator A5039799651 @default.
- W2055331441 creator A5063017166 @default.
- W2055331441 creator A5066181042 @default.
- W2055331441 date "1993-01-01" @default.
- W2055331441 modified "2023-09-26" @default.
- W2055331441 title "Homoclinic chaos in chemical systems" @default.
- W2055331441 cites W1836794400 @default.
- W2055331441 cites W1964818691 @default.
- W2055331441 cites W1966265691 @default.
- W2055331441 cites W1967008192 @default.
- W2055331441 cites W1967492493 @default.
- W2055331441 cites W1967755877 @default.
- W2055331441 cites W1968220940 @default.
- W2055331441 cites W1970151539 @default.
- W2055331441 cites W1970658065 @default.
- W2055331441 cites W1972751081 @default.
- W2055331441 cites W1972986026 @default.
- W2055331441 cites W1973867105 @default.
- W2055331441 cites W1975707157 @default.
- W2055331441 cites W1982873606 @default.
- W2055331441 cites W1982979575 @default.
- W2055331441 cites W1983567650 @default.
- W2055331441 cites W1987732924 @default.
- W2055331441 cites W1990851751 @default.
- W2055331441 cites W1991075668 @default.
- W2055331441 cites W1991376437 @default.
- W2055331441 cites W1994054644 @default.
- W2055331441 cites W1994055334 @default.
- W2055331441 cites W1995638437 @default.
- W2055331441 cites W1998107227 @default.
- W2055331441 cites W1999198553 @default.
- W2055331441 cites W2000958767 @default.
- W2055331441 cites W2001089773 @default.
- W2055331441 cites W2001944982 @default.
- W2055331441 cites W2003347741 @default.
- W2055331441 cites W2005857491 @default.
- W2055331441 cites W2006642504 @default.
- W2055331441 cites W2009067612 @default.
- W2055331441 cites W2009325871 @default.
- W2055331441 cites W2010122123 @default.
- W2055331441 cites W2011558207 @default.
- W2055331441 cites W2012240681 @default.
- W2055331441 cites W2016468540 @default.
- W2055331441 cites W2023558151 @default.
- W2055331441 cites W2024370663 @default.
- W2055331441 cites W2025115060 @default.
- W2055331441 cites W2026250183 @default.
- W2055331441 cites W2029080083 @default.
- W2055331441 cites W2029649578 @default.
- W2055331441 cites W2031447622 @default.
- W2055331441 cites W2031784772 @default.
- W2055331441 cites W2032529061 @default.
- W2055331441 cites W2032669176 @default.
- W2055331441 cites W2034321083 @default.
- W2055331441 cites W2034358049 @default.
- W2055331441 cites W2040491912 @default.
- W2055331441 cites W2041046286 @default.
- W2055331441 cites W2043346919 @default.
- W2055331441 cites W2045184052 @default.
- W2055331441 cites W2047506587 @default.
- W2055331441 cites W2047668433 @default.
- W2055331441 cites W2048940879 @default.
- W2055331441 cites W2050592460 @default.
- W2055331441 cites W2051153433 @default.
- W2055331441 cites W2051228722 @default.
- W2055331441 cites W2051580082 @default.
- W2055331441 cites W2052511916 @default.
- W2055331441 cites W2054769071 @default.
- W2055331441 cites W2060231502 @default.
- W2055331441 cites W2060272600 @default.
- W2055331441 cites W2066082500 @default.
- W2055331441 cites W2069103848 @default.
- W2055331441 cites W2072866754 @default.
- W2055331441 cites W2076830755 @default.
- W2055331441 cites W2083494238 @default.
- W2055331441 cites W2084302247 @default.
- W2055331441 cites W2085988745 @default.
- W2055331441 cites W2087474503 @default.
- W2055331441 cites W2087907868 @default.
- W2055331441 cites W2088139345 @default.
- W2055331441 cites W2088446113 @default.
- W2055331441 cites W2089331370 @default.
- W2055331441 cites W2092424552 @default.
- W2055331441 cites W2092589298 @default.
- W2055331441 cites W2092680287 @default.
- W2055331441 cites W2100794274 @default.
- W2055331441 cites W2110595740 @default.
- W2055331441 cites W2125566231 @default.
- W2055331441 cites W2133225357 @default.
- W2055331441 cites W2141394518 @default.
- W2055331441 cites W2145281112 @default.
- W2055331441 cites W2148786824 @default.
- W2055331441 cites W2152254020 @default.
- W2055331441 cites W2165510765 @default.
- W2055331441 cites W2168711358 @default.