Period doubling bifurcations in a two-box model of the Brusselator
Applications of Mathematics, Tome 28 (1983) no. 5, pp. 335-343
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Two theorems about period doubling bifurcations are proved. A special case, where one multiplier of the homogeneous solution is equal to +1 is discussed in the Appendix.
DOI :
10.21136/AM.1983.104045
Classification :
34C05, 34C25, 37G99, 37N99, 58F22, 92A15
Keywords: invariant vector field; Poincaré mapping; rotation number; period doubling bifurcation
Keywords: invariant vector field; Poincaré mapping; rotation number; period doubling bifurcation
@article{10_21136_AM_1983_104045, author = {Kl{\'\i}\v{c}, Alois}, title = {Period doubling bifurcations in a two-box model of the {Brusselator}}, journal = {Applications of Mathematics}, pages = {335--343}, publisher = {mathdoc}, volume = {28}, number = {5}, year = {1983}, doi = {10.21136/AM.1983.104045}, mrnumber = {0712910}, zbl = {0531.34030}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104045/} }
TY - JOUR AU - Klíč, Alois TI - Period doubling bifurcations in a two-box model of the Brusselator JO - Applications of Mathematics PY - 1983 SP - 335 EP - 343 VL - 28 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104045/ DO - 10.21136/AM.1983.104045 LA - en ID - 10_21136_AM_1983_104045 ER -
Klíč, Alois. Period doubling bifurcations in a two-box model of the Brusselator. Applications of Mathematics, Tome 28 (1983) no. 5, pp. 335-343. doi: 10.21136/AM.1983.104045
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