Bifurcation analysis of a second-order impact model for forest fire prediction through a 1D-map

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn , Issue , 2006, Pages 2725-2728

  Bizzarri, Federico ^a   Caruso, Luca ^a   Storace, Marco ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARAMETER ESTIMATION;

BIFURCATION ANALYSIS; FOREST FIRE MODELS; PARAMETER DOMAINS; SECOND ORDER IMPACT MODELS;

BIFURCATION (MATHEMATICS);

EID: 34547261048     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. S. Maggi and S. Rinaldi, "A second-order impact model for forest fire regimes," Theoretical Population Biology, submitted for publication.
2. F. Dercole and S. Maggi, "Detection and continuation of a border collision bifurcation in a forest fire model," Applied Mathematics and Computation, Vol 168, pp. 623-635, 2005.
3. R. Casagrandi and S. Rinaldi, "A minimal model for forest fire regimes," Am. Nat., Vol. 153, pp. 527-539, 1999.
4. K. Peters and U. Arlitz, "Hybrid systems forming strange billiards," Int. J. Bif. and Chaos, Vol. 13. pp. 2575-2588, 2003.
5. Y.A. Kuznetsov, "Elements of Applied Bifurcation Theory," third ed., Springer, New York, 2004.
6. F. Bizzarri, M. Storace, L. Gardini, and R. Lupini, "Bifurcation analysis of a PWL chaotic circuit based on hysteresis through a onedimensional map," Int. J. Bif. and Chaos, Vol. 11, pp. 1911-1927, 2001.
7. R. Lupini, F. Bizzarri, and M. Storace, "Discontinuities in a onedimensionalmap describing a hystcretic chaotic circuit." Nonlinear Analysis, Vol. 47, pp. 5253-5264, 2001.
8. F. Bizzarri and M. Storace, "Two-dimensional bifurcation diagrams of a chaotic circuit based on hysteresis," Int. J. Bif. and Chaos, Vol. 12, pp. 43-69, 2002.