Robust approximation algorithms for the detection of attraction basins in dynamical systems

DOI10.1007/s10915-015-0143-zzbMath1344.65118arXiv1511.08110OpenAlexW2172761354MaRDI QIDQ2631058

Ezio Venturino, Roberto Cavoretto, Emma Perracchione, Alessandra De Rossi

Publication date: 28 July 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08110

zbMATH Keywords

algorithmdynamical systemsradial basis functionsbifurcation problempartition of unity methodscattered data approximationbasins of attractionnumerical resultcompetition population models

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Dynamical aspects of attractors and their bifurcations (37G35) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Related Items (14)

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Uses Software

• Matlab

Cites Work

• A meshless interpolation algorithm using a cell-based searching procedure
• Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems
• Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems
• Radial basis function interpolation on irregular domain through conformal transplantation
• Automated computation of robust normal forms of planar analytic vector fields
• Approximating the basin of attraction of time-periodic ODEs by meshless collocation
• The partition of unity finite element method: basic theory and applications
• Social behavior-induced multistability in minimal competitive ecosystems
• A numerical algorithm for multidimensional modeling of scattered data points
• DOES A LARGER CARRYING CAPACITY FOR AN EXOTIC SPECIES ALLOW ENVIRONMENT INVASION? — SOME CONSIDERATIONS ON THE COMPETITION OF RED AND GREY SQUIRRELS
• Reliable approximation of separatrix manifolds in competition models with safety niches
• Radial Basis Functions
• A Trivariate Interpolation Algorithm Using a Cube-Partition Searching Procedure
• Scattered Data Approximation
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