High frequency forcing of an attracting heteroclinic cycle

Συγγραφείς: Isabel S. Labouriau, Alexandre A. P. Rodrigues

Πηγή: Portugaliae Mathematica. 82:113-137

Θεματικοί όροι: periodic forcing, averaged system, Nonautonomous smooth dynamical systems, FOS: Mathematics, 34C37, 34D20, 37C27, 39A23, Periodic orbits of vector fields and flows, attracting heteroclinic cycle, high frequency, Dynamical Systems (math.DS), Homoclinic and heteroclinic solutions to ordinary differential equations, Stability of solutions to ordinary differential equations, Mathematics - Dynamical Systems, Periodic solutions of difference equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2306.09936

Marked length spectrum rigidity for Anosov surfaces

Συγγραφείς: Guillarmou, Colin, Lefeuvre, Thibault, Paternain, Gabriel

Συνεισφορές: Guillarmou, Colin

Πηγή: Duke Mathematical Journal. 174

Θεματικοί όροι: Mathematics - Differential Geometry, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Rigidity results, marked length spectrum, [MATH] Mathematics [math], Dynamical Systems (math.DS), Geodesics in global differential geometry, Period matrices, variation of Hodge structure, degenerations, Anosov flows, rigidity, Differential Geometry (math.DG), geodesic flow, FOS: Mathematics, Periodic orbits of vector fields and flows, 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.), Mathematics - Dynamical Systems, 53C24, 53C22, 37C27, 37D40, 57K20, 32G20

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2303.12007
https://hal.science/hal-04303498v1

Invariant curves of quasi-periodic reversible mappings and its application

Συγγραφείς: Yan Zhuang, Daxiong Piao, Yanmin Niu

Πηγή: Journal of Differential Equations. 374:191-217

Θεματικοί όροι: Dynamical aspects of twist maps, invariant curves, reversible mappings, normal forms, FOS: Mathematics, Periodic orbits of vector fields and flows, Nonlinear oscillations and coupled oscillators for ordinary differential equations, quasi-periodic solutions, Periodic and quasi-periodic flows and diffeomorphisms, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces, Birkhoff constants

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2305.08368

Torus knot choreographies in the n-body problem: Torus knot choreographies in the \(n\)-body problem

Συγγραφείς: Renato C. Calleja, Jean-Philippe Lessard, Carlos García-Azpeitia, J. D. Mireles James

Πηγή: Nonlinearity. 34:313-348

Θεματικοί όροι: delay differential equations, celestial mechanics, Dynamical Systems (math.DS), computer-assisted proofs, 01 natural sciences, Periodic solutions to functional-differential equations, \(n\)-body problems, Fixed-point theorems, choreographies, Celestial mechanics, FOS: Mathematics, Periodic orbits of vector fields and flows, Algorithms with automatic result verification, contraction mapping, Mathematics - Dynamical Systems, 0101 mathematics, Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1901.03738
http://arxiv.org/abs/1901.03738
https://ui.adsabs.harvard.edu/abs/2019arXiv190103738C/abstract

A Stability Result for Periodic Solutions of Nonmonotonic Smooth Negative Feedback Systems

Συγγραφείς: Poignard, Camille, Chaves, Madalena, Gouzé, Jean-Luc

Συνεισφορές: Gouzé, Jean-Luc, Universidade de São Paulo = University of São Paulo (USP), Biological control of artificial ecosystems (BIOCORE), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de la Recherche Agronomique (INRA)-Laboratoire d'océanographie de Villefranche (LOV), Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut de la Mer de Villefranche (IMEV), Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut de la Mer de Villefranche (IMEV), Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), research foundation FAPESP CEPID-CeMeai project 2013/07375-0, project ICycle ANR-16-CE33-0016-01, project RESET (Investissements d'Avenir, Bioinformatique), project LABEX SIGNALIFE ANR-11-LABX-0028-01, ANR-16-CE33-0016,ICycle,Interconnexion et contrôle de deux oscillateurs biologiques dans des cellules mammaliennes(2016)

Πηγή: SIAM Journal on Applied Dynamical Systems. 17:1091-1116

Θεματικοί όροι: 0301 basic medicine, Asymptotic stability, Negative feedback circuits, 01 natural sciences, Gene regulatory networks, Monodromy matrix, Piecewise linear systems, 03 medical and health sciences, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0103 physical sciences, Periodic orbits of vector fields and flows, Periodic oscillations, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: https://hal.inria.fr/hal-01872255/file/SiamPoignardM114120.pdf
https://epubs.siam.org/doi/pdf/10.1137/17M1141205
https://dblp.uni-trier.de/db/journals/siamads/siamads17.html#PoignardCG18
https://hal.inria.fr/hal-01872255
https://hal.univ-cotedazur.fr/hal-01872255v1
https://hal.inria.fr/hal-01872255/document
https://bv.fapesp.br/pt/publicacao/149674/a-stability-result-for-periodic-solutions-of-nonmonotonic-sm

The zero-Hopf bifurcations of a four-dimensional hyperchaotic system

Συγγραφείς: Jaume Llibre, Yuzhou Tian

Πηγή: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Θεματικοί όροι: Bifurcations of limit cycles and periodic orbits in dynamical systems, 0103 physical sciences, Periodic orbits of vector fields and flows, averaging theory, 0101 mathematics, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, four-dimensional hyperchaotic system, periodic orbits

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: https://ddd.uab.cat/record/257124
https://zbmath.org/7353626
https://doi.org/10.1063/5.0023155
https://aip.scitation.org/doi/10.1063/5.0023155
http://ui.adsabs.harvard.edu/abs/2021JMP....62e2703L/abstract

On Computer-Assisted Proving The Existence Of Periodic And Bounded Orbits: On computer-assisted proving the existence of periodic and bounded orbits

Συγγραφείς: Srzednicki, Roman

Πηγή: Annales Mathematicae Silesianae. 29:7-17

Θεματικοί όροι: Index theory for dynamical systems, Morse-Conley indices, 13. Climate action, rigorous numerical algorithm, Periodic orbits of vector fields and flows, Numerical problems in dynamical systems, interval arithmetic, 0101 mathematics, 16. Peace & justice, Poincaré map, 01 natural sciences, Approximation methods and numerical treatment of dynamical systems, Conley index

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://content.sciendo.com/downloadpdf/journals/amsil/29/1/article-p7.pdf
https://zbmath.org/6751974
https://doi.org/10.1515/amsil-2015-0001
http://www.sbc.org.pl/Content/177629/01-paper.pdf
https://sciendo.com/pdf/10.1515/amsil-2015-0001
http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.doi-10_1515_amsil-2015-0001
https://sciendo.com/article/10.1515/amsil-2015-0001
https://core.ac.uk/display/120224651
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.doi-10_1515_amsil-2015-0001
http://ruj.uj.edu.pl/xmlui/handle/item/19552

Rich dynamics of discrete delay ecological models

Συγγραφείς: Mingshu Peng

Πηγή: Chaos, Solitons & Fractals. 24:1279-1285

Θεματικοί όροι: 0301 basic medicine, chaotic behaviors, Ecology, discrete version of topics in analysis, bifurcation diagrams, periodic orbits of vector fields and flows, periodic solution, 01 natural sciences, logistic map, Dynamical systems involving maps of the interval, 03 medical and health sciences, 0103 physical sciences, Periodic orbits of vector fields and flows, Discrete version of topics in analysis, fixed-point, maps of the interval piecewise continuous, continuous, smooth

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0960077904006204
http://ui.adsabs.harvard.edu/abs/2005CSF....24.1279P/abstract
http://www.sciencedirect.com/science/article/pii/S0960077904006204
https://ideas.repec.org/a/eee/chsofr/v24y2005i5p1279-1285.html

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

A BRIEF SURVEY ON THE NUMERICAL DYNAMICS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS: A brief survey on the numerical dynamics for functional differential equations

Συγγραφείς: Barnabas M. Garay

Πηγή: International Journal of Bifurcation and Chaos. 15:729-742

Θεματικοί όροι: invariant manifolds, hyperbolic periodic orbits, Attractors and repellers of smooth dynamical systems and their topological structure, saddle structure, Kamke monotonicity, Generic properties, structural stability of dynamical systems, Numerical methods for Hamiltonian systems including symplectic integrators, Numerical approximation of solutions of functional-differential equations, Stability theory for smooth dynamical systems, 01 natural sciences, Runge-Kutta discretizations, survey paper, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, compact attractors, hyperbolic equilibria, retarded functional differential equations, error estimates, Research exposition (monographs, survey articles) pertaining to numerical analysis, structural stability, Periodic orbits of vector fields and flows, inertial manifolds, delay equations, center-unstable manifolds, 0101 mathematics, Error bounds for numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.math.bme.hu/~garay/gfarkas.pdf
https://ui.adsabs.harvard.edu/abs/2006mcds.book...33G/abstract
https://ui.adsabs.harvard.edu/abs/2005IJBC...15..729G/abstract
http://www.math.bme.hu/~garay/gfarkas.pdf
https://www.worldscientific.com/doi/abs/10.1142/S021812740501251X
https://dblp.uni-trier.de/db/journals/ijbc/ijbc15.html#Garay05

Cantori, Islands and Asymptotic Curves in the Stickiness Region: Cantori, islands and asymptotic curves in the stickiness region

Συγγραφείς: Efthymiopoulos, C., Contopoulos, G., Voglis, N.

Πηγή: Impact of Modern Dynamics in Astronomy ISBN: 9789401059305

Θεματικοί όροι: chaotic diffusion, 0103 physical sciences, Periodic orbits of vector fields and flows, iteration of 2D maps, 0101 mathematics, cantori, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BB6607637E5EC27D58BB1695B1F91922/S0252921100072572a.pdf/div-class-title-cantori-islands-and-asymptotic-curves-in-the-stickiness-region-div.pdf
https://link.springer.com/chapter/10.1007%2F978-94-011-4527-5_22
https://link.springer.com/content/pdf/10.1007%2F978-94-011-4527-5_22.pdf
http://ui.adsabs.harvard.edu/abs/1999CeMDA..73..221E/abstract
https://rd.springer.com/chapter/10.1007/978-94-011-4527-5_22
https://pergamos.lib.uoa.gr/uoa/dl/object/3018493

The Conley–Zehnder index and the saddle-center equilibrium: The Conley-Zehnder index and the saddle-center equilibrium

Συγγραφείς: Pedro A. S. Salomão, Clodoaldo Grotta-Ragazzo

Πηγή: Journal of Differential Equations. 220:259-278

Θεματικοί όροι: Two-degrees of freedom, Saddle-center, saddle-center, convexity, Periodic, homoclinic and heteroclinic orbits, variational methods, degree-theoretic methods, 01 natural sciences, Conley–Zehnder index, Convexity, Relations of dynamical systems with symplectic geometry and topology, Index theory for dynamical systems, Morse-Conley indices, normal form, 0103 physical sciences, Conley-Zehnder index, periodic orbit, Periodic orbits of vector fields and flows, two-degrees of freedom, Hamiltonian systems, 0101 mathematics, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2242187
https://doi.org/10.1016/j.jde.2005.03.015
http://www.sciencedirect.com/science/article/pii/S0022039605001178
http://ui.adsabs.harvard.edu/abs/2006JDE...220..259G/abstract
https://www.sciencedirect.com/science/article/pii/S0022039605001178
https://core.ac.uk/display/81956856

Unstable periodic orbits and chaotic economic growth

Συγγραφείς: Ken-ichi Ishiyama, Yoshitaka Saiki

Πηγή: Chaos, Solitons & Fractals. 26:33-42

Θεματικοί όροι: numerical examples, fiscal policies, unstable periodic solutions, 1. No poverty, Numerical chaos, Simulation of dynamical systems, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, macroeconomic growth cycle model, Economic growth models, chaotic attractor, Macroeconomic theory (monetary models, models of taxation), 0103 physical sciences, 8. Economic growth, Periodic orbits of vector fields and flows

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.sciencedirect.com/science/article/pii/S0960077905000470
https://ideas.repec.org/a/eee/chsofr/v26y2005i1p33-42.html
https://inis.iaea.org/Search/search.aspx?orig_q=RN:37003310
https://www.sciencedirect.com/science/article/abs/pii/S0960077905000470
https://ui.adsabs.harvard.edu/abs/2005CSF....26...33I/abstract

Stability and instability in the anisotropic Kepler problem

Συγγραφείς: G. Contopoulos, M. Harsoula

Πηγή: Journal of Physics A: Mathematical and General. 38:8897-8920

Θεματικοί όροι: Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), chaos, anisotropic Kepler problem, Dynamical systems in classical and celestial mechanics, islands of stability, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, periodic orbits, invariant curves, Celestial mechanics, 0103 physical sciences, Periodic orbits of vector fields and flows, order, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://ui.adsabs.harvard.edu/abs/2005JPhA...38.8897C/abstract
https://iopscience.iop.org/article/10.1088/0305-4470/38/41/005
https://iopscience.iop.org/article/10.1088/0305-4470/38/41/005/pdf
http://iopscience.iop.org/article/10.1088/0305-4470/38/41/005/pdf

Angular self-intersections for closed geodesics on surfaces

Συγγραφείς: Richard Sharp, Mark Pollicott

Πηγή: Proceedings of the American Mathematical Society. 134:419-426

Θεματικοί όροι: Orbit growth in dynamical systems, self-intersection, invariant measure, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), geodesic flow, 0103 physical sciences, Periodic orbits of vector fields and flows, Geodesics in global differential geometry, 0101 mathematics, closed geodesic, 01 natural sciences, Smooth ergodic theory, invariant measures for smooth dynamical systems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.ams.org/proc/2006-134-02/S0002-9939-05-08382-6/S0002-9939-05-08382-6.pdf
https://documat.unirioja.es/servlet/articulo?codigo=1463226
https://www.ams.org/proc/2006-134-02/S0002-9939-05-08382-6/S0002-9939-05-08382-6.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1463226
https://www.ams.org/journals/proc/2006-134-02/S0002-9939-05-08382-6/home.html

Localization of periodic orbits of polynomial vector fields of even degree by linear functions

Συγγραφείς: Konstantin E. Starkov

Πηγή: Chaos, Solitons & Fractals. 25:621-627

Θεματικοί όροι: Bifurcation theory for ordinary differential equations, harmonic oscillator, Qualitative investigation and simulation of ordinary differential equation models, 0103 physical sciences, Periodic orbits of vector fields and flows, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Lanford system, 0101 mathematics, Periodic solutions to ordinary differential equations, conditional extremum problem, homogeneous polynomial forms, 01 natural sciences, jerky system

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2188092
https://doi.org/10.1016/j.chaos.2004.11.052
https://www.sciencedirect.com/science/article/pii/S0960077904007568
https://ideas.repec.org/a/eee/chsofr/v25y2005i3p621-627.html
https://ui.adsabs.harvard.edu/abs/2005CSF....25..621S/abstract

Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces

Συγγραφείς: Monica-Gabriela Cojocaru

Πηγή: Proceedings of the American Mathematical Society. 134:793-804

Θεματικοί όροι: fixed-point theory, Dynamical systems in optimization and economics, Periodic orbits of vector fields and flows, 0101 mathematics, Periodic solutions to ordinary differential equations, Variational inequalities, monotonicity conditions of Minty-Browder type, 01 natural sciences, Ordinary differential inclusions, projected dynamical system

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.ams.org/proc/2006-134-03/S0002-9939-05-08006-8/S0002-9939-05-08006-8.pdf
https://zbmath.org/2237915
https://doi.org/10.1090/s0002-9939-05-08006-8
https://www.ams.org/journals/proc/2006-134-03/S0002-9939-05-08006-8/home.html
https://www.ams.org/proc/2006-134-03/S0002-9939-05-08006-8/S0002-9939-05-08006-8.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1463344

C1-stably expansive flows: \(C^1\)-stably expansive flows

Συγγραφείς: Kazuhiro Sakai, Kazumine Moriyasu, Wenxiang Sun

Πηγή: Journal of Differential Equations. 213:352-367

Θεματικοί όροι: Axiom A, Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Transversality condition, 0103 physical sciences, Expansive flows, Periodic orbits of vector fields and flows, Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics, Structurally stable, Quasi-Anosov, 0101 mathematics, Shadowing property, Vector fields, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2189517
https://doi.org/10.1016/j.jde.2004.08.003
http://ci.nii.ac.jp/naid/120004403889/
https://www.sciencedirect.com/science/article/pii/S0022039604003389
https://www.sciencedirect.com/science/article/abs/pii/S0022039604003389

Attractor merging crisis in chaotic business cycles

Συγγραφείς: Abraham C.-L. Chian, Colin Rogers, Erico L. Rempel, Felix A. Borotto

Πηγή: Chaos, Solitons & Fractals. 24:869-875

Θεματικοί όροι: stable and unstable manifolds, attractor, Economic growth models, unstable periodic orbits, 0103 physical sciences, Dynamical systems in optimization and economics, Periodic orbits of vector fields and flows, Attractors and repellers of smooth dynamical systems and their topological structure, chaotic business cycles, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2160339
https://doi.org/10.1016/j.chaos.2004.09.080
https://ideas.repec.org/a/eee/chsofr/v24y2005i3p869-875.html
http://www.sciencedirect.com/science/article/pii/S0960077904005855
https://core.ac.uk/display/12740158
https://www.sciencedirect.com/science/article/pii/S0960077904005855

NONEXISTENCE OF PERIODIC SOLUTIONS IN A CLASS OF DYNAMICAL SYSTEMS WITH CYLINDRICAL PHASE SPACE: Nonexistence of periodic solutions in a class of dynamical systems with cylindrical phase space

Συγγραφείς: Lin Huang, Ying Yang, Zhisheng Duan

Πηγή: International Journal of Bifurcation and Chaos. 15:1423-1431

Θεματικοί όροι: 0209 industrial biotechnology, Periodic orbits of vector fields and flows, cylindrical phase space, 02 engineering and technology, nonlinear systems, Periodic solutions to ordinary differential equations, cycles of second kind, interconnection, linear matrices inequalities

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dblp.uni-trier.de/db/journals/ijbc/ijbc15.html#YangDH05
https://ui.adsabs.harvard.edu/abs/2005IJBC...15.1423Y/abstract