Search Results - "Small divisors, rotation domains and linearization in holomorphic dynamics"

Semiconjugacies between the Julia sets of geometrically finite rational maps: Semiconjugacies between the Julia sets of geometrically finite rational maps.

Authors: Tomoki Kawahira

Source: Dynamics on the Riemann Sphere ISBN: 9783037190111

Subject Terms: Expanding holomorphic maps, hyperbolicity, structural stability of holomorphic dynamical systems, 4. Education, geometrically finite rational map, Julia set, critical point, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, semiconjugacy

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Access URL: https://zbmath.org/2012328
https://doi.org/10.1017/s0143385702001682
https://www.ems-ph.org/doi/10.4171/011-1/7
http://www.ems-ph.org/doi/10.4171/011-1/7
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/semiconjugacies-between-the-julia-sets-of-geometrically-finite-rational-maps/7D803477495E2EB00F05CAD833B09BF2
http://www.math.titech.ac.jp/~kawahira/works/semiconj.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=658119

Aspects of three-dimensional higher curvature gravities

Authors: Pablo Bueno Pablo A Cano Quim Llorens et al.

Source: Classical and Quantum Gravity. 39:125002

Subject Terms: High Energy Physics - Theory, Black holes, holographic c-theorem, BTZ black hole, FOS: Physical sciences, Methods of global Riemannian geometry, including PDE methods, curvature restrictions, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, General Relativity and Quantum Cosmology (gr-qc), Small divisors, rotation domains and linearization in holomorphic dynamics, higher-curvature gravity, 01 natural sciences, quasinormal modes, General Relativity and Quantum Cosmology, Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems, Higher curvature gravities, Three dimensions, High Energy Physics - Theory (hep-th), three-dimensional gravity, Born-Infeld gravities, 0103 physical sciences, Other elementary particle theory in quantum theory, Geometrodynamics and the holographic principle

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Access URL: http://arxiv.org/abs/2201.07266
https://zbmath.org/7535739
https://doi.org/10.1088/1361-6382/ac6cbf
http://hdl.handle.net/11336/241204

Global invariant manifolds

Authors: Mitja Lakner Marjeta Škapin-Rugelj

Source: Chaos, Solitons & Fractals. 26:1533-1540

Subject Terms: invariant curves, Fractals, hyperbolic point, 0103 physical sciences, periodic points, Julia set, Invariant manifold theory for dynamical systems, Small divisors, rotation domains and linearization in holomorphic dynamics, fixed-points, 01 natural sciences, local manifold theorem

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0960077905003486
https://ideas.repec.org/a/eee/chsofr/v26y2005i5p1533-1540.html
https://ui.adsabs.harvard.edu/abs/2005CSF....26.1533L/abstract

Regularity properties of Hausdorff dimension in infinite conformal iterated function systems: Regularity properties of Hausdorff dimensions in infinite conformal iterated function systems

Authors: M. Roy Mariusz Urbański

Source: Ergodic Theory and Dynamical Systems. 25:1961-1983

Subject Terms: Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 01 natural sciences

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Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=1345053
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/regularity-properties-of-hausdorff-dimension-in-infinite-conformal-iterated-function-systems/2CBF827168F88B33AA2645BD15F11406
https://documat.unirioja.es/servlet/articulo?codigo=1345053

Julia sets of expanding polymodials

Authors: Alexander Blokh Chris Cleveland Michał Misiurewicz

Source: Ergodic Theory and Dynamical Systems. 25:1691-1718

Subject Terms: Dynamical systems involving maps of the interval, Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Julia set, Hausdorff dimension, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, covering maps of the plane, 01 natural sciences, expanding interval maps, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

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Access URL: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/julia-sets-of-expanding-polymodials/C694A2CEA69335358A04DB8A30667640
https://documat.unirioja.es/servlet/articulo?codigo=1345038
https://dialnet.unirioja.es/servlet/articulo?codigo=1345038

Control of Julia sets

Authors: Shou Gang Sui Shu Tang Liu

Source: Chaos, Solitons & Fractals. 26:1135-1147

Subject Terms: complex iteration, 0103 physical sciences, Julia set, Nonlinear systems in control theory, Small divisors, rotation domains and linearization in holomorphic dynamics, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, stability, 0101 mathematics, controllability, period repelling points, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

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Access URL: https://zbmath.org/2189693
https://doi.org/10.1016/j.chaos.2005.02.022
https://www.sciencedirect.com/science/article/pii/S0960077905001979
http://ui.adsabs.harvard.edu/abs/2005CSF....26.1135S/abstract
https://ideas.repec.org/a/eee/chsofr/v26y2005i4p1135-1147.html

Wild Recurrent Critical Points: Wild recurrent critical points

Authors: Juan Rivera-Letelier

Source: Journal of the London Mathematical Society. 72:305-326

Subject Terms: Other nonanalytic theory, Mathematics - Number Theory, FOS: Mathematics, Dynamical Systems (math.DS), Number Theory (math.NT), Small divisors, rotation domains and linearization in holomorphic dynamics, Mathematics - Dynamical Systems, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

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Access URL: http://arxiv.org/pdf/math/0406417
http://arxiv.org/abs/math/0406417
https://zbmath.org/2228487
https://doi.org/10.1112/s0024610705006885
https://ui.adsabs.harvard.edu/abs/2004math......6417R/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=2207580
http://doi.wiley.com/10.1112/S0024610705006885
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610705006885
https://documat.unirioja.es/servlet/articulo?codigo=2207580

Dynamics of piecewise conformal automorphisms of the Riemann sphere

Authors: Manuel Cruz-López

Source: Ergodic Theory and Dynamical Systems. 25:1767-1774

Subject Terms: iteration of piecewise conformal maps, 0103 physical sciences, Attractors and repellers of smooth dynamical systems and their topological structure, Symmetries, equivariant dynamical systems, conformal dynamics, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 01 natural sciences

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Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=1345041
https://documat.unirioja.es/servlet/articulo?codigo=1345041

On Fatou maps into compact complex manifolds

Authors: Kazutoshi Maegawa

Source: Ergodic Theory and Dynamical Systems. 25:1551-1560

Subject Terms: Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, limit maps, Small divisors, rotation domains and linearization in holomorphic dynamics, Holomorphic families of dynamical systems, the Mandelbrot set, bifurcations, stability, 0101 mathematics, iteration, holomorphic selfmaps, 01 natural sciences

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Access URL: https://zbmath.org/2218146
https://doi.org/10.1017/s0143385704000847
https://dialnet.unirioja.es/servlet/articulo?codigo=1295664
https://documat.unirioja.es/servlet/articulo?codigo=1295664

Exponentially long time stability near an equilibrium point for non–linearizable analytic vector fields: Exponentially long time stability near an equilibrium point for non-linearizable analytic vector fields

Authors: Carletti, Timoteo

Source: Carletti, T 2005, ' Exponentially long time stability near an equilibrium point for non-linearizable analytic vector fields ', Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 56, pp. 1-13 .

Subject Terms: Gevrey class, 37C75, 34A25, Mathematics - Complex Variables, Bruno condition, linearization, effective stability, Dynamical Systems (math.DS), Small divisors, rotation domains and linearization in holomorphic dynamics, Stability theory for smooth dynamical systems, vector field, 01 natural sciences, Nekhoroshev theorem, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, linearization vector field, FOS: Mathematics, Mathematics - Dynamical Systems, Complex Variables (math.CV), 0101 mathematics

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Access URL: http://arxiv.org/pdf/math/0407228
http://arxiv.org/abs/math/0407228
https://researchportal.unamur.be/en/publications/7b2846a0-7e6b-46de-8301-b069b83af633
https://ui.adsabs.harvard.edu/abs/2005ZaMP...56..559C/abstract
https://link.springer.com/article/10.1007/s00033-005-4080-9
https://core.ac.uk/display/101103986
https://arxiv.org/pdf/math/0407228
https://arxiv.org/abs/math/0407228
https://pure.unamur.be/ws/files/989528/56821.pdf

Meta-dynamical adaptive systems and their applications to a fractal algorithm and a biological model

Authors: Emmanuel Moulay Marc Baguelin Moulay, Emmanuel

Contributors: Emmanuel Moulay Marc Baguelin Moulay, Emmanuel

Source: Physica D: Nonlinear Phenomena. 207:79-90

Subject Terms: Axiomatic systems theory, 0209 industrial biotechnology, fractal algorithm, biological systems, FOS: Physical sciences, adaptive systems, 02 engineering and technology, Small divisors, rotation domains and linearization in holomorphic dynamics, dynamical systems, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, Nonlinear Sciences - Adaptation and Self-Organizing Systems, [NLIN.NLIN-AO] Nonlinear Sciences [physics]/Adaptation and Self-Organizing Systems [nlin.AO], [NLIN.NLIN-CD] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Population dynamics (general), Problems related to evolution, Chaotic Dynamics (nlin.CD), 0101 mathematics, Adaptation and Self-Organizing Systems (nlin.AO)

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Access URL: http://arxiv.org/pdf/nlin/0703026
http://arxiv.org/abs/nlin/0703026
https://zbmath.org/2211374
https://doi.org/10.1016/j.physd.2005.05.013
https://ui.adsabs.harvard.edu/abs/2005PhyD..207...79M/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0167278905002149
https://hal.archives-ouvertes.fr/hal-00136495/document
https://hal.archives-ouvertes.fr/hal-00136495
https://hal.science/hal-00136495v1
https://hal.science/hal-00136495v1/document
https://doi.org/10.1016/j.physd.2005.05.013

Connectivity properties of Julia sets of Weierstrass elliptic functions

Authors: Lorelei Koss Jane Hawkins

Source: Topology and its Applications. 152:107-137

Subject Terms: Cantor set, Complex dynamics, Meromorphic functions, Julia sets, Geometry and Topology, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Holomorphic families of dynamical systems, the Mandelbrot set, bifurcations, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

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Access URL: https://zbmath.org/2207433
https://doi.org/10.1016/j.topol.2004.08.018
https://www.sciencedirect.com/science/article/abs/pii/S0166864104002640
http://www.unc.edu/math/Faculty/jhawkins/papers/hawkins-koss-topapp.pdf
https://scholar.dickinson.edu/faculty_publications/194/
https://core.ac.uk/display/82305388
https://www.unc.edu/math/Faculty/jhawkins/papers/hawkins-koss-topapp.pdf
https://www.sciencedirect.com/science/article/pii/S0166864104002640

Metric properties of the Julia set of some meromorphic functions with an asymptotic value eventually mapped onto a pole

Authors: Bartlomiej Skorulski

Source: Mathematical Proceedings of the Cambridge Philosophical Society. 139:117-138

Subject Terms: Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Julia set, Hausdorff dimension, asymptotic value, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Small divisors, rotation domains and linearization in holomorphic dynamics, Transcendental meromorphic function, 0101 mathematics, complex dynamics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2005MPCPS.139..117S/abstract

Combinatorial continuity in complex polynomial dynamics

Authors: Kiwi, J

Source: Proceedings of the London Mathematical Society. 91:215-248

Subject Terms: external ray, 09 Industry, 09 Industria, Combinatorics and topology in relation with holomorphic dynamical systems, Continua theory in dynamics, Small divisors, rotation domains and linearization in holomorphic dynamics, 01 natural sciences, innovación e infraestructura, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, Innovation and Infrastructure, 03 Salud y bienestar, repelling cycle, lamination, 03 Good Health and Well-being, Holomorphic families of dynamical systems, the Mandelbrot set, bifurcations, 0101 mathematics, critical portrait

File Description: application/xml; 34 páginas; application/pdf

Access URL: https://zbmath.org/2204375
https://doi.org/10.1112/s0024611505015248
https://academic.oup.com/plms/article/91/1/215/1470125
https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/S0024611505015248
https://dialnet.unirioja.es/servlet/articulo?codigo=2213261
https://www.cambridge.org/core/journals/proceedings-of-the-london-mathematical-society/article/combinatorial-continuity-in-complex-polynomial-dynamics/8ED926D3148A8F7084EF263372DAD827
https://documat.unirioja.es/servlet/articulo?codigo=2213261
http://doi.wiley.com/10.1112/S0024611505015248

Dynamics of composite functions meromorphic outside a small set

Authors: Keaitsuda Maneeruk Piyapong Niamsup

Source: Journal of Mathematical Analysis and Applications. 306:218-226

Subject Terms: Applied Mathematics, Wandering domain, Functions meromorphic outside a small sets, Small divisors, rotation domains and linearization in holomorphic dynamics, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, 01 natural sciences, Analysis, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X04010650
https://core.ac.uk/display/82609589
http://ui.adsabs.harvard.edu/abs/2005JMAA..306..218M/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04010650

Uniformly perfect Julia sets of meromorphic functions

Authors: Sheng Wang Liang-Wen Liao

Source: Bulletin of the Australian Mathematical Society. 71:387-397

Subject Terms: iterate, meromorphic function, Julia set, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CADD43F48308BFEC18C2AA9F46564B10/S0004972700038387a.pdf/div-class-title-uniformly-perfect-julia-sets-of-meromorphic-functions-div.pdf
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/uniformly-perfect-julia-sets-of-meromorphic-functions/CADD43F48308BFEC18C2AA9F46564B10
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CADD43F48308BFEC18C2AA9F46564B10/S0004972700038387a.pdf/div-class-title-uniformly-perfect-julia-sets-of-meromorphic-functions-div.pdf
http://www.journals.cambridge.org/abstract_S0004972700038387

Symbolic dynamics in investigation of quaternionic Julia sets

Authors: Peter Petek Mitja Lakner Marjeta Škapin-Rugelj

Source: Chaos, Solitons & Fractals. 24:1189-1201

Subject Terms: curve connectin periodic points, Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), 0103 physical sciences, Symbolic dynamics, quaternionic Julia set, fibrations, Small divisors, rotation domains and linearization in holomorphic dynamics, quaternionic quadratic function, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2188163
https://doi.org/10.1016/j.chaos.2004.09.067
https://www.sciencedirect.com/science/article/pii/S0960077904006101
https://ui.adsabs.harvard.edu/abs/2005CSF....24.1189L/abstract
https://ideas.repec.org/a/eee/chsofr/v24y2005i5p1189-1201.html
http://www.sciencedirect.com/science/article/pii/S0960077904006101
https://www.sciencedirect.com/science/article/abs/pii/S0960077904006101#!

DIMENSIONS OF JULIA SETS OF MEROMORPHIC FUNCTIONS: Dimensions of Julia sets of meromorphic functions

Authors: Gwyneth M. Stallard P. J. Rippon

Source: Journal of the London Mathematical Society. 71:669-683

Subject Terms: Conformal densities and Hausdorff dimension for holomorphic dynamical systems, upper and lower box dimensions, Expanding holomorphic maps, hyperbolicity, structural stability of holomorphic dynamical systems, packing dimension, Julia set, meromorphic functions, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

File Description: application/xml

Access URL: http://www.math.sunysb.edu/~bishop/classes/math627.S13/Rippon-Stallard-Pack=2.pdf
https://zbmath.org/2197838
https://doi.org/10.1112/s0024610705006393
https://documat.unirioja.es/servlet/articulo?codigo=2207333
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610705006393
https://dialnet.unirioja.es/servlet/articulo?codigo=2207333
http://oro.open.ac.uk/7590/
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/dimensions-of-julia-sets-of-meromorphic-functions/A4FFF79A31B0E5E2A333CF317D9E679D

Sierpinski-curve Julia sets and singular perturbations of complex polynomials

Authors: Robert L. Devaney Daniel M. Look Pradipta Seal et al.

Source: Ergodic Theory and Dynamical Systems. 25:1047-1055

Subject Terms: rational maps, Julia sets, open sets, Small divisors, rotation domains and linearization in holomorphic dynamics, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, Sierpinski curves, singular perturbation, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

File Description: application/xml

Access URL: http://myslu.stlawu.edu/~dlook/Papers/SierpinskiPerturbations.pdf
https://documat.unirioja.es/servlet/articulo?codigo=1245239
https://dialnet.unirioja.es/servlet/articulo?codigo=1245239
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/div-classtitlesierpinski-curve-julia-sets-and-singular-perturbations-of-complex-polynomialsdiv/FA6C76FFB9422835FABF32ABFCEF124E
http://journals.cambridge.org/action/displayAbstract?aid=317523

Hausdorff Dimension of Julia Sets of Feigenbaum Polynomials with High Criticality: Hausdorff dimension of Julia sets of Feigenbaum polynomials with high criticality

Authors: Grzegorz Światek Genadi Levin

Source: Communications in Mathematical Physics. 258:135-148

Subject Terms: Conformal densities and Hausdorff dimension for holomorphic dynamical systems, unimodal polynomials, critical points, limiting dynamics, Hausdorff dimensions, Julia set, Feigenbaum attractors, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 01 natural sciences, basins of attraction

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007%2Fs00220-005-1332-7
https://ui.adsabs.harvard.edu/abs/2005CMaPh.258..135L/abstract
https://link.springer.com/content/pdf/10.1007%2Fs00220-005-1332-7.pdf