Cusp bifurcations: Numerical detection via two-parameter continuation and computer-assisted proofs of existence: Cusp bifurcations: numerical detection via two-parameter continuation and computer-assisted proofs of existence

Συγγραφείς: Lessard, Jean-Philippe, Pugliese, Alessandro

Πηγή: Discrete and Continuous Dynamical Systems - B. 30:2135-2158

Θεματικοί όροι: Bifurcation theory for ordinary differential equations, General methods in interval analysis, Poincaré index theory, cusp bifurcation, Dynamical Systems (math.DS), Newton-Kantorovich theorem, computer-assisted proofs, Dynamical Systems, 65P30, 65G40, 34C23, 37M20, 37G99, Local and nonlocal bifurcation theory for dynamical systems, Numerical bifurcation problems, FOS: Mathematics, Computational methods for bifurcation problems in dynamical systems, two-parameter continuation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2404.00535

Computer-Assisted Proofs of Hopf Bubbles and Degenerate Hopf Bifurcations: Computer-assisted proofs of Hopf bubbles and degenerate Hopf bifurcations

Συγγραφείς: Kevin Church, Elena Queirolo

Πηγή: J Dyn Differ Equ

Θεματικοί όροι: Bifurcation theory for ordinary differential equations, degenerate Hopf bifurcation, Article, Ordinary Differential Equations, Partial Differential Equations, Applications of Mathematics, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Dynamical Systems (math.DS), Numerical Analysis (math.NA), Hopf bubble, 01 natural sciences, Periodic solutions to functional-differential equations, ddc, 34K18 (Primary), 37G15 (Secondary), delay differential equation, computer-assisted proof, periodic orbit, FOS: Mathematics, Computational methods for bifurcation problems in dynamical systems, Mathematics - Numerical Analysis, Mathematics - Dynamical Systems, 0101 mathematics, Computer assisted proofs of proofs-by-exhaustion type, Bifurcation theory of functional-differential equations, two-parameter continuation

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://pubmed.ncbi.nlm.nih.gov/39554541
http://arxiv.org/abs/2202.13326
https://zbmath.org/7957683
https://doi.org/10.1007/s10884-023-10279-x
https://mediatum.ub.tum.de/doc/1763598/document.pdf

Strong resonance bifurcations for a discrete-time prey–predator model: Strong resonance bifurcations for a discrete-time prey-predator model

Συγγραφείς: Bo Li, Zohreh Eskandari, Zakieh Avazzadeh

Πηγή: Journal of Applied Mathematics and Computing. 69:2421-2438

Θεματικοί όροι: Population dynamics (general), Neimark-Sacker bifurcation, 0103 physical sciences, strong resonance, Computational methods for bifurcation problems in dynamical systems, prey-predator model, two-dimensional bifurcation diagram, Bifurcation theory for difference equations, 01 natural sciences, Dynamical systems in biology, numerical continuation method

Περιγραφή αρχείου: application/xml

Computer validation of neural network dynamics: A first case study: Computer validation of neural network dynamics: a first case study

Συγγραφείς: Kuehn, Christian, Queirolo, Elena

Πηγή: Discrete and Continuous Dynamical Systems - B. 30:2073-2093

Θεματικοί όροι: Learning and adaptive systems in artificial intelligence, Dynamical Systems (math.DS), Numerical Analysis (math.NA), 01 natural sciences, Poincaré recurrences, 37G10, 37N99, 68T07, multifractal analysis, singular Hopf bifurcation, discrete-time model, FOS: Mathematics, dimension theory, Computational methods for bifurcation problems in dynamical systems, Mathematics - Numerical Analysis, Mathematics - Dynamical Systems, 0101 mathematics, Artificial neural networks and deep learning

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2202.05073

Long-term orbit dynamics viewed through the yellow main component in the parameter space of a family of optimal fourth-order multiple-root finders

Συγγραφείς: Young Hee Geum, Young Ik Kim

Πηγή: Discrete & Continuous Dynamical Systems - B. 25:3087-3109

Θεματικοί όροι: Möbius map, 0209 industrial biotechnology, Numerical computation of solutions to single equations, conjugacy, Computational methods for bifurcation problems in dynamical systems, multiple root, 02 engineering and technology, parameter space, 0101 mathematics, bifurcation point, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.aimsciences.org/article/exportPdf?id=dc2319f0-178e-4c14-9300-c4f33727c22b
https://zbmath.org/7208015
https://doi.org/10.3934/dcdsb.2020052
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020052
https://www.aimsciences.org/article/exportPdf?id=dc2319f0-178e-4c14-9300-c4f33727c22b

Computing time-periodic solutions of a model for the vortex sheet with surface tension

Συγγραφείς: David M. Ambrose, Mark Kondrla, Michael Valle

Πηγή: Quarterly of Applied Mathematics. 73:317-329

Θεματικοί όροι: Bifurcations in context of PDEs, 2. Zero hunger, destabilizing nonlinearity, dispersion relation, Computational methods for bifurcation problems in dynamical systems, 0101 mathematics, Capillarity (surface tension) for incompressible inviscid fluids, 16. Peace & justice, Theoretical approximation in context of PDEs, 01 natural sciences, gradient descent, Periodic solutions to PDEs

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.ams.org/qam/2015-73-02/S0033-569X-2015-01364-8/S0033-569X-2015-01364-8.pdf
https://zbmath.org/6443984
https://doi.org/10.1090/s0033-569x-2015-01364-8
https://www.math.drexel.edu/~ambrose/computingModel.pdf
https://www.ams.org/journals/qam/2015-73-02/S0033-569X-2015-01364-8/home.html
https://www.ams.org/qam/2015-73-02/S0033-569X-2015-01364-8/S0033-569X-2015-01364-8.pdf

Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map

Συγγραφείς: Xiao-Yue Yao, Xian-Feng Li, Jun Jiang, Andrew Y.T. Leung

Πηγή: Chaos, Solitons & Fractals. 164:112651

Θεματικοί όροι: coupled logistic map, Bifurcations of singular points in dynamical systems, Numerical bifurcation problems, critical normal form coefficient, 0103 physical sciences, bifurcation analysis, Computational methods for bifurcation problems in dynamical systems, 01 natural sciences, numerical continuation method

Περιγραφή αρχείου: application/xml

EQUATION-FREE, EFFECTIVE COMPUTATION FOR DISCRETE SYSTEMS: A TIME STEPPER BASED APPROACH: Equation-free, effective computation for discrete systems: a time stepper based approach

Συγγραφείς: Panayotis G. Kevrekidis, Olof Runborg, Ioannis G. Kevrekidis, Joakim Möller, Kurt Lust

Πηγή: International Journal of Bifurcation and Chaos. 15:975-996

Θεματικοί όροι: Discrete-time control/observation systems, Numerical bifurcation problems, 0103 physical sciences, Nonlinear higher-order PDEs, Computational methods for bifurcation problems in dynamical systems, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://ui.adsabs.harvard.edu/abs/2006mcds.book..279M/abstract

NUMERICAL CONTINUATION OF BRANCH POINTS OF EQUILIBRIA AND PERIODIC ORBITS: Numerical continuation of branch points of equilibria and periodic orbits

Συγγραφείς: Annick Dhooge, Eusebius J. Doedel, Yu. A. Kuznetsov, Willy Govaerts

Πηγή: International Journal of Bifurcation and Chaos. 15:841-860

Θεματικοί όροι: limit cycles, Wiskunde en computerwetenschappen, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, test function, systems with symmetry, Applications of dynamical systems, 01 natural sciences, rank defect, periodic orbits, generic systems, Landbouwwetenschappen, Wiskunde: algemeen, Dynamical aspects of symmetries, equivariant bifurcation theory, bifurcation, 0103 physical sciences, Periodic orbits of vector fields and flows, Wiskunde en Informatica (WIIN), Computational methods for bifurcation problems in dynamical systems, 0101 mathematics, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://research-portal.uu.nl/en/publications/16322716-cdff-4e4f-a715-869719ba6505

BIFURCATION TRACKING ALGORITHMS AND SOFTWARE FOR LARGE SCALE APPLICATIONS: Bifurcation tracking algorithms and software for large scale applications

Συγγραφείς: Elizabeth A. Burroughs, Andrew G. Salinger, Roger P. Pawlowski, Eric T. Phipps, Louis A. Romero

Πηγή: International Journal of Bifurcation and Chaos. 15:1015-1032

Θεματικοί όροι: numerical examples, Rayleigh-Bénard convection, Turning point, 01 natural sciences, Newton's method, pitchfork, finite element, Numerical bifurcation problems, Bifurcations of limit cycles and periodic orbits in dynamical systems, 0103 physical sciences, Packaged methods for numerical algorithms, Computational methods for bifurcation problems in dynamical systems, Forced convection, LOCA software library, Hopf bifurcation, 0101 mathematics, bifurcation tracking algorithms, Finite element methods applied to problems in fluid mechanics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://ui.adsabs.harvard.edu/abs/2006mcds.book..319S/abstract

Exponentially small separatrix splittings and almost invisible homoclinic bifurcations in some billiard tables

Συγγραφείς: Rafael Ramírez-Ros

Πηγή: Physica D: Nonlinear Phenomena. 210:149-179

Θεματικοί όροι: Hyperbolic singular points with homoclinic trajectories in dynamical systems, Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics, Separatrix splitting, Homoclinic bifurcations, Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems, Hyperbolic systems with singularities (billiards, etc.), Computational methods for bifurcation problems in dynamical systems, 0101 mathematics, Billiards, Periodic, homoclinic and heteroclinic orbits, variational methods, degree-theoretic methods, 01 natural sciences, Exponentially small phenomena, Numerical experiments

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0167278905003143
http://www.pagines.ma1.upc.edu/~rafael/res/pdf/physicad05.pdf
https://core.ac.uk/display/100629123
http://ui.adsabs.harvard.edu/abs/2005PhyD..210..149R/abstract

Preconditioning for a Class of Spectral Differentiation Matrices: Preconditioning for a class of spectral differentiation matrices

Συγγραφείς: Ronald D. Haynes, Manfred R. Trummer, Weiming Cao

Πηγή: Journal of Scientific Computing. 24:343-371

Θεματικοί όροι: Iterative numerical methods for linear systems, spectral collocation, numerical examples, convergence, Numerical computation of matrix norms, conditioning, scaling, pseudospectral method, Linear first-order PDEs, dynamical systems, Preconditioners, fast Fourier transform, 01 natural sciences, first-order partial differential equations, Newton's method, Numerical bifurcation problems, bifurcation, invariant torus, Spectral, collocation and related methods for boundary value problems involving PDEs, Computational methods for bifurcation problems in dynamical systems, iterative methods for nonsymmetric systems, van der Pol oscillator, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.math.mun.ca/~rhaynes/caohaynestrummer05.pdf
https://zbmath.org/2238749
https://doi.org/10.1007/s10915-004-4794-4
http://zeta.math.utsa.edu/~sno437/papers/pc_wave_published.pdf
http://www.math.mun.ca/~rhaynes/caohaynestrummer05.pdf
https://link.springer.com/article/10.1007/s10915-004-4794-4
https://www.math.mun.ca/~rhaynes/caohaynestrummer05.pdf
https://dblp.uni-trier.de/db/journals/jscic/jscic24.html#CaoHT05
https://link.springer.com/content/pdf/10.1007%2Fs10915-004-4794-4.pdf

Bifurcations in a System of Interacting Fronts: Bifurcation in a system of interacting fronts

Συγγραφείς: Andreas Amann, Eckehard Schöll

Πηγή: Journal of Statistical Physics. 119:1069-1138

Θεματικοί όροι: Asymptotic approximations, asymptotic expansions (steepest descent, etc.), front dynamics, semiconductor superlattice, 0103 physical sciences, \(U\)-sequence, Computational methods for bifurcation problems in dynamical systems, 01 natural sciences, Statistical mechanics of superconductors

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/s10955-005-4405-2
https://link.springer.com/content/pdf/10.1007%2Fs10955-005-4405-2.pdf
https://ui.adsabs.harvard.edu/abs/2005JSP...119.1069A/abstract

A crisis in the dissipative Fermi accelerator model

Συγγραφείς: Leonel, Edson D., McClintock, Peter V. E.

Πηγή: Journal of Physics A: Mathematical and General. 38:L425-L430

Θεματικοί όροι: Many-body theory, quantum Hall effect, 0103 physical sciences, Computational methods for bifurcation problems in dynamical systems, 01 natural sciences, Quantum chaos

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://eprints.lancs.ac.uk/id/eprint/9405/1/crisisPostPrint.pdf
https://iopscience.iop.org/article/10.1088/0305-4470/38/23/L02/pdf
https://eprints.lancs.ac.uk/9405/
https://iopscience.iop.org/article/10.1088/0305-4470/38/23/L02/meta
http://iopscience.iop.org/article/10.1088/0305-4470/38/23/L02/pdf
https://ui.adsabs.harvard.edu/abs/2005JPhA...38L.425L/abstract
http://www.rc.unesp.br/igce/demac/denis/papers/leonel10.pdf
https://eprints.lancs.ac.uk/id/eprint/9405/

Heterogeneous multiscale methods for stiff ordinary differential equations

Συγγραφείς: Björn Engquist, Yen-Hsi Richard Tsai

Πηγή: Mathematics of Computation. 74:1707-1743

Θεματικοί όροι: convergence, computational complexity, oscillatory solutions, heterogeneous multiscale method, time scales, Numerical chaos, Nonlinear ordinary differential equations and systems, stability, algorithms, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Complexity and performance of numerical algorithms, multiscale problems, Computational methods for bifurcation problems in dynamical systems, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, stiff problems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.ams.org/mcom/2005-74-252/S0025-5718-05-01745-X/S0025-5718-05-01745-X.pdf
http://www.diva-portal.org/smash/record.jsf?pid=diva2:333143
http://doi.org/10.1090/S0025-5718-05-01745-X
http://dblp.uni-trier.de/db/journals/moc/moc74.html#EngquistT05
https://www.ams.org/journal-getitem?pii=S0025-5718-05-01745-X
https://dblp.uni-trier.de/db/journals/moc/moc74.html#EngquistT05
https://ui.adsabs.harvard.edu/abs/2005MaCom..74.1707E/abstract

Some global bifurcations related to the appearance of closed invariant curves

Συγγραφείς: A. AGLIARI, GARDINI, LAURA, T. PUU

Πηγή: Mathematics and Computers in Simulation. 68:201-219

Θεματικοί όροι: Subcritical Neimark-Hopf bifurcation, Homoclinic connection, numerical examples, Hyperbolic singular points with homoclinic trajectories in dynamical systems, Duopoly models, Numerical bifurcation problems, 0502 economics and business, 0103 physical sciences, 05 social sciences, invariant curve, Computational methods for bifurcation problems in dynamical systems, Discrete dynamical systems, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://core.ac.uk/display/53193599
https://www.sciencedirect.com/science/article/pii/S0378475404003040
http://umu.diva-portal.org/smash/record.jsf?pid=diva2:151889
https://ideas.repec.org/a/eee/matcom/v68y2005i3p201-219.html
https://econpapers.repec.org/RePEc:eee:matcom:v:68:y:2005:i:3:p:201-219
https://dblp.uni-trier.de/db/journals/mcs/mcs68.html#AgliariGP05
https://hdl.handle.net/11576/1882511

NUMERICAL APPROXIMATION OF THE PERCENTAGE OF ORDER FOR ONE-DIMENSIONAL MAPS: Numerical approximation of the percentage of order for one-dimensional maps

Συγγραφείς: G. LIVADIOTIS

Πηγή: Advances in Complex Systems. :15-32

Θεματικοί όροι: logistic map, Dynamical systems involving maps of the interval, Bifurcation, chaos, logistic map, Lyapunov exponent, order, structure and organization in complex systems, chaos, bifurcation, 0103 physical sciences, Iteration theory, iterative and composite equations, Computational methods for bifurcation problems in dynamical systems, 01 natural sciences, Lyapunov exponent, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://ui.adsabs.harvard.edu/abs/2005AdCS....8...15L/abstract
https://www.worldscientific.com/doi/abs/10.1142/S0219525905000324
https://ideas.repec.org/a/wsi/acsxxx/v08y2005i01ns0219525905000324.html
https://pergamos.lib.uoa.gr/uoa/dl/object/3037498
http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219525905000324
http://www.worldscinet.com/cgi-bin/details.cgi?type=pdf&id=pii:S0219525905000324

Neimark–Sacker bifurcation for periodic delay differential equations: Neimark-Sacker bifurcation for periodic delay differential equations

Συγγραφείς: Röst, Gergely

Πηγή: Nonlinear Analysis: Theory, Methods & Applications. 60:1025-1044

Θεματικοί όροι: QA Mathematics / matematika, delay differential equations, central manifold, bifurcation, 0103 physical sciences, Computational methods for bifurcation problems in dynamical systems, periodic, General theory of functional-differential equations, 0101 mathematics, 01 natural sciences, Bifurcation theory of functional-differential equations, Invariant manifolds of functional-differential equations

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/2136984
https://doi.org/10.1016/j.na.2004.08.043
http://real.mtak.hu/3828/
https://core.ac.uk/display/11856005
http://www.sciencedirect.com/science/article/pii/S0362546X04004584
https://www.sciencedirect.com/science/article/pii/S0362546X04004584

Rigorous numerics for localized patterns to the quintic Swift-Hohenberg equation

Συγγραφείς: Toshiyuki Ogawa, Yasuaki Hiraoka

Πηγή: Japan Journal of Industrial and Applied Mathematics. 22:57-75

Θεματικοί όροι: snaky bifurcation structure, numerical examples, quintic Swift-Hohenberg equation, rigorous numerics, dynamical systems, 01 natural sciences, Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems, Numerical bifurcation problems, 0103 physical sciences, numerical verification, Computational methods for bifurcation problems in dynamical systems, 0101 mathematics, Galerkin method, localized patterns, Conley index

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://tohoku.pure.elsevier.com/en/publications/rigorous-numerics-for-localized-patterns-to-the-quintic-swift-hoh
https://link.springer.com/article/10.1007%2FBF03167476
https://link.springer.com/content/pdf/10.1007/BF03167476.pdf

Floquet Theory as a Computational Tool: Floquet theory as a computational tool

Συγγραφείς: Gerald Moore

Πηγή: SIAM Journal on Numerical Analysis. 42:2522-2568

Θεματικοί όροι: Bifurcations of limit cycles and periodic orbits in dynamical systems, Numerical bifurcation problems, 0103 physical sciences, Periodic orbits of vector fields and flows, Computational methods for bifurcation problems in dynamical systems, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, 01 natural sciences, Numerical methods for discrete and fast Fourier transforms, nonlinear autonomous systems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2219982
https://doi.org/10.1137/s0036142903434175
https://dl.acm.org/doi/10.1137/S0036142903434175
https://epubs.siam.org/doi/10.1137/S0036142903434175
https://locus.siam.org/doi/abs/10.1137/S0036142903434175
https://doi.org/10.1137/S0036142903434175