BIFURCATION ANALYSIS OF AN IMPACT MODEL FOR FOREST FIRE PREDICTION

DOI10.1142/S0218127408021701zbMath1165.34360WikidataQ57829214 ScholiaQ57829214MaRDI QIDQ5322541

Federico Bizzarri, Marco Storace, Alessandro Colombo

Publication date: 21 July 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

bifurcation analysispiecewise-smooth mapimpact systemforest fire model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Dynamical systems involving maps of the interval (37E05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems ⋮ Teixeira singularities in 3D switched feedback control systems ⋮ On the maximum number of limit cycles for a piecewise smooth differential system ⋮ PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY ⋮ Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+ 2)–dimension

Cites Work

• A second-order impact model for forest fire regimes
• Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves
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• \(C\)-bifurcations and period-adding in one-dimensional piecewise-smooth maps
• Discontinuities in a one-dimensional map describing a hysteretic chaotic circuit.
• Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps
• Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
• Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
• TWO-DIMENSIONAL BIFURCATION DIAGRAMS OF A CHAOTIC CIRCUIT BASED ON HYSTERESIS

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