Roberto Barrio
Roberto Barrio
Professor of Applied Mathematics, University of Zaragoza, SPAIN
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Titel
Zitiert von
Zitiert von
Jahr
Performance of the Taylor series method for ODEs/DAEs
R Barrio
Applied Mathematics and Computation 163 (2), 525-545, 2005
1632005
High-precision computation: Mathematical physics and dynamics
DH Bailey, R Barrio, JM Borwein
Applied Mathematics and Computation 218 (20), 10106-10121, 2012
1552012
VSVO formulation of the Taylor method for the numerical solution of ODEs
R Barrio, F Blesa, M Lara
Computers & mathematics with Applications 50 (1-2), 93-111, 2005
1512005
Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
R Barrio, A Shilnikov
The Journal of Mathematical Neuroscience 1 (1), 1-22, 2011
932011
Qualitative analysis of the Rössler equations: Bifurcations of limit cycles and chaotic attractors
R Barrio, F Blesa, S Serrano
Physica D: Nonlinear Phenomena 238 (13), 1087-1100, 2009
932009
Global organization of spiral structures in biparameter space of dissipative systems with Shilnikov saddle-foci
R Barrio, F Blesa, S Serrano, A Shilnikov
Physical Review E 84 (3), 035201, 2011
882011
Algorithm 924: TIDES, a Taylor series integrator for differential equations
A Abad, R Barrio, F Blesa, M Rodríguez
ACM Transactions on Mathematical Software (TOMS) 39 (1), 1-28, 2012
862012
Sensitivity tools vs. Poincaré sections
R Barrio
Chaos, Solitons & Fractals 25 (3), 711-726, 2005
862005
Sensitivity analysis of ODEs/DAEs using the Taylor series method
R Barrio
SIAM Journal on Scientific Computing 27 (6), 1929-1947, 2006
852006
Breaking the limits: the Taylor series method
R Barrio, M Rodríguez, A Abad, F Blesa
Applied mathematics and computation 217 (20), 7940-7954, 2011
772011
Fractal structures in the Henon-Heiles hamiltonian
R Barrio, F Blesa, S Serrano
EPL (Europhysics Letters) 82 (1), 10003, 2008
712008
Kneadings, symbolic dynamics and painting Lorenz chaos
R Barrio, A Shilnikov, L Shilnikov
International Journal of Bifurcation and Chaos 22 (04), 1230016, 2012
692012
When chaos meets hyperchaos: 4D Rössler model
R Barrio, MA Martínez, S Serrano, D Wilczak
Physics Letters A 379 (38), 2300-2305, 2015
682015
A three-parametric study of the Lorenz model
R Barrio, S Serrano
Physica D: Nonlinear Phenomena 229 (1), 43-51, 2007
662007
Bifurcations and safe regions in open Hamiltonians
R Barrio, F Blesa, S Serrano
New Journal of Physics 11 (5), 053004, 2009
612009
Macro-and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons
R Barrio, M Angeles Martínez, S Serrano, A Shilnikov
Chaos: An Interdisciplinary Journal of Nonlinear Science 24 (2), 023128, 2014
582014
Spurious structures in chaos indicators maps
R Barrio, W Borczyk, S Breiter
Chaos, Solitons & Fractals 40 (4), 1697-1714, 2009
582009
Painting chaos: a gallery of sensitivity plots of classical problems
R Barrio
International Journal of Bifurcation and Chaos 16 (10), 2777-2798, 2006
512006
To escape or not to escape, that is the question—perturbing the Hénon–Heiles Hamiltonian
F Blesa, JM Seoane, R Barrio, MAF Sanjuan
International Journal of Bifurcation and Chaos 22 (06), 1230010, 2012
502012
Bounds for the chaotic region in the Lorenz model
R Barrio, S Serrano
Physica D: Nonlinear Phenomena 238 (16), 1615-1624, 2009
472009
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