Výsledky vyhledávání - "Dynamical systems with hyperbolic orbits and sets"

On the number of poles of the dynamical zeta functions for billiard flow

Autoři: Petkov, Vesselin

Zdroj: Discrete and Continuous Dynamical Systems. 45:3174-3194

Témata: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), dynamical zeta function, local trace formula, strip with infinite number of poles, Dynamical systems with hyperbolic orbits and sets, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), 37D20, 37D05, 37D40, 11M41, 11M36, FOS: Mathematics, billiard flow, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Other Dirichlet series and zeta functions

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2407.17304

Coherent Structures in Nonlocal Systems: Functional Analytic Tools: Coherent structures in nonlocal systems: functional analytic tools

Autoři: Clifton, Olivia Scheel, Arnd

Zdroj: Journal of Dynamics and Differential Equations. 37:919-960

Témata: Functional analytic techniques in dynamical systems, zeta functions, (Ruelle-Frobenius) transfer operators, etc, Dynamical systems with hyperbolic orbits and sets, Several-variable operator theory (spectral, Fredholm, etc.), coherent structures, (Semi-) Fredholm operators, index theories, Lyapunov center, Stability theory for smooth dynamical systems, center manifold

Popis souboru: application/xml

Inverse shadowing and related measures

Autoři: Sergey Kryzhevich Sergei Yu. Pilyugin

Zdroj: Science China Mathematics. 63:1825-1836

Témata: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), inverse shadowing, hyperbolicity, invariant measure, Dynamical aspects of measure-preserving transformations, axiom A, Dynamical Systems (math.DS), Generic properties, structural stability of dynamical systems, stability, 01 natural sciences, Dynamical systems with hyperbolic orbits and sets, Dynamical systems involving smooth mappings and diffeomorphisms, FOS: Mathematics, Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics, Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems, Mathematics - Dynamical Systems, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/1907.06792
http://arxiv.org/abs/1907.06792
https://link.springer.com/article/10.1007/s11425-019-1609-8
https://arxiv.org/abs/1907.06792
https://arxiv.org/pdf/1907.06792.pdf
https://ui.adsabs.harvard.edu/abs/2019arXiv190706792K/abstract

On restricted analytic gradients on analytic isolated surface singularities

Autoři: Fernando Sanz Vincent Grandjean

Zdroj: Journal of Differential Equations. 255:1684-1708

Témata: Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.), Real-analytic and semi-analytic sets, asymptotic expansion, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Singularities in algebraic geometry, Primary: 34C08, Secondary: 34C07, 37B35, 37C10, 34D05, 14P15, 14B05, Asymptotic properties of solutions to ordinary differential equations, 01 natural sciences, isolated surface, Gradient-like behavior, isolated (locally maximal) invariant sets, attractors, repellers for topological dynamical systems, analytic gradient, Mathematics - Algebraic Geometry, Dynamical systems with hyperbolic orbits and sets, Mathematics - Classical Analysis and ODEs, trajectory, Dynamics induced by flows and semiflows, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, singularities, gradient trajectories, Algebraic Geometry (math.AG)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1105.3888
https://zbmath.org/6255276
https://doi.org/10.1016/j.jde.2013.05.020
https://www.sciencedirect.com/science/article/pii/S0022039613002143
http://ui.adsabs.harvard.edu/abs/2013JDE...255.1684G/abstract
https://arxiv.org/abs/1105.3888

Nonexistence of codimension one Anosov flows on compact manifolds with boundary

Autoři: I. W. Aguilar C. A. Morales E. H. Apaza

Zdroj: Journal of Differential Equations. 218:36-46

Témata: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Anosov flow, Dynamical systems with hyperbolic orbits and sets, Hyperbolic set, 0103 physical sciences, Manifold with boundary, 0101 mathematics, 01 natural sciences, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82117956
http://ui.adsabs.harvard.edu/abs/2005JDE...218...36A/abstract
https://www.sciencedirect.com/science/article/pii/S0022039605002767

Stable Transitivity of Certain Noncompact Extensions of Hyperbolic Systems: Stable transitivity of certain noncompact extensions of hyperbolic systems

Autoři: Andrei Török Viorel Niţică Ian Melbourne

Zdroj: Annales Henri Poincaré. 6:725-746

Témata: Homology and cohomology theories in algebraic topology, cocycle, Dynamical systems with hyperbolic orbits and sets, Differential topological aspects of diffeomorphisms, diffeomorphism, General properties and structure of real Lie groups, stable transitivity, 0101 mathematics, hyperbolic systems, Noncompact Lie groups of transformations, 01 natural sciences

Popis souboru: application/xml; text

Přístupová URL adresa: https://surrey-researchmanagement.esploro.exlibrisgroup.com/view/delivery/44SUR_INST/12139308720002346/13140259040002346
http://www.math.uh.edu/~torok/Personal/papers/GcrossR_published.pdf
https://www.math.uh.edu/~torok/Personal/papers/GcrossR.pdf
https://link.springer.com/10.1007%2Fs00023-005-0221-0
https://epubs.surrey.ac.uk/id/eprint/1431
https://core.ac.uk/display/101984
https://link.springer.com/article/10.1007/s00023-005-0221-0
https://surrey.eprints-hosting.org/1431/

Multiplications in solenoids as hyperbolic attractors

Autoři: Floris Takens

Zdroj: Topology and its Applications. 152:219-225

Témata: Hyperbolic attractor, Dynamical systems with hyperbolic orbits and sets, isomorphism problem, history of solenoids, hyperbolic attractor, Cantor groups, Geometry and Topology, 0101 mathematics, 01 natural sciences, Solenoid, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82718022
https://www.sciencedirect.com/science/article/pii/S0166864104003219

Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets

Autoři: Field, Michael Melbourne, Ian Török, Andrei

Zdroj: Ergodic Theory and Dynamical Systems. 25:517-551

Témata: Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), Ergodicity, mixing, rates of mixing, Generic properties, structural stability of dynamical systems, stability, Lie group extensions, 01 natural sciences, Dynamical systems with hyperbolic orbits and sets, \(C^2\) diffeomorphism, Dynamical systems involving smooth mappings and diffeomorphisms, ergodicity, mixing, hyperbolic basic set, 0101 mathematics, transitivity, genericity

Popis souboru: application/xml; text

Přístupová URL adresa: https://surrey-researchmanagement.esploro.exlibrisgroup.com/view/delivery/44SUR_INST/12139942250002346/13140378130002346
https://zbmath.org/2212401
https://doi.org/10.1017/s0143385704000355
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/stable-ergodicity-for-smooth-compact-lie-group-extensions-of-hyperbolic-basic-sets/1928224EDA75913F36948451F51B61B5
https://www.math.uh.edu/~torok/Personal/papers/stablemix.pdf
http://www.math.uh.edu/~torok/Personal/papers/stablemix.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1139710
https://documat.unirioja.es/servlet/articulo?codigo=1139710
https://epubs.surrey.ac.uk/203/1/fulltext.pdf
https://surrey.eprints-hosting.org/203/
https://surrey.eprints-hosting.org/1485/

Stable sets, hyperbolicity and dimension

Autoři: Christian Wolf Rasul Shafikov

Zdroj: Discrete & Continuous Dynamical Systems - A. 12:403-412

Témata: variational principle, 37C45, 37DXX, SRB measure, box dimension, stable sets, Dimension theory of smooth dynamical systems, Hausdorff dimension, Dynamical Systems (math.DS), 01 natural sciences, Dynamical systems with hyperbolic orbits and sets, FOS: Mathematics, topological pressure, Mathematics - Dynamical Systems, 0101 mathematics, hyperbolic sets, Smooth ergodic theory, invariant measures for smooth dynamical systems

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0306282
https://zbmath.org/2155028
https://doi.org/10.3934/dcds.2005.12.403
http://www.math.wichita.edu/~cwolf/research/preprints/stable70.pdf
https://www.math.wichita.edu/~cwolf/research/preprints/stable70.pdf
https://www.aimsciences.org/article/doi/10.3934/dcds.2005.12.403

Lyapunov exponents for continuous transformations and dimension theory

Autoři: Luis Barreira César M. Silva

Zdroj: Discrete & Continuous Dynamical Systems - A. 13:469-490

Témata: dimension, Dynamical systems with hyperbolic orbits and sets, Dimension theory of smooth dynamical systems, Lyapunov exponents, Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.), 0101 mathematics, hyperbolic sets, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.aimsciences.org/article/doi/10.3934/dcds.2005.13.469
http://www.mat.ubi.pt/~csilva/barreira_silva.pdf

STOCHASTIC VERSIONS OF HARTMAN–GROBMAN THEOREMS: Stochastic versions of Hartman-Grobman theorems

Autoři: Paulo R. Ruffino Edson A. Coayla-Teran

Zdroj: Stochastics and Dynamics. :571-593

Témata: Dynamical systems with hyperbolic orbits and sets, Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents, local conjugacy, 0502 economics and business, 05 social sciences, random diffeomorphisms, hyperbolic fixed points, Hartman-Grobman theorem, Stochastic systems and control, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2147876
https://doi.org/10.1142/s0219493704001206
https://www.worldscientific.com/doi/abs/10.1142/S0219493704001206

Qualitative property between flows and numerical methods

Autoři: Ming-Chia Li

Zdroj: Nonlinear Analysis. 59:771-787

Témata: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems, Structural stability and analogous concepts of solutions to ordinary differential equations, Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Dynamical systems with hyperbolic orbits and sets, 0103 physical sciences, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences, transversality

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2136555
https://doi.org/10.1016/j.na.2003.06.004
https://scholar.nycu.edu.tw/zh/publications/qualitative-property-between-flows-and-numerical-methods
https://www.sciencedirect.com/science/article/pii/S0362546X04002871

Stable products of spheres in the non-linear coupling of oscillators or quasi-periodic motions: Stable products of spheres in the nonlinear coupling of oscillators or quasi-periodic motions

Autoři: Mathilde Kammerer-Colin de Verdière

Zdroj: Comptes Rendus. Mathématique. 339:625-629

Témata: Dynamical systems with hyperbolic orbits and sets, Local and nonlocal bifurcation theory for dynamical systems, Dynamics induced by flows and semiflows, 0103 physical sciences, Nonlinear oscillations and coupled oscillators for ordinary differential equations, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S1631073X04004303
https://www.sciencedirect.com/science/article/pii/S1631073X04004303

Hyperbolic trajectories of time discretizations

Autoři: Aaron Hagen

Zdroj: Nonlinear Analysis: Theory, Methods & Applications. 59:121-132

Témata: Dichotomy, trichotomy of solutions to ordinary differential equations, numerical dynamics, hyperbolicity, fixed points, Simulation of dynamical systems, persistence, Lyapunov-Perron method, long time approximation, 01 natural sciences, periodic orbits, exponential dichotomy, Dynamical systems with hyperbolic orbits and sets, shadowing, hyperbolic trajectories, Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics, stable/unstable manifolds, Numerical investigation of stability of solutions to ordinary differential equations, 0101 mathematics, Numerical nonlinear stabilities in dynamical systems, time discretization

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0362546X04002500
http://www.sciencedirect.com/science/article/pii/S0362546X04002500

Dimension product structure of hyperbolic sets

Autoři: Boris Hasselblatt Jörg Schmeling

Zdroj: Electronic Research Announcements of the American Mathematical Society. 10:88-96

Témata: fractal dimension, Morse-Smale systems, Dynamical systems with hyperbolic orbits and sets, Dimension theory of smooth dynamical systems, product structure, Hyperbolic set, Hausdorff dimension, Eckmann-Ruelle conjecture, holonomies, Lipschitz continuity, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/era/2004-10-10/S1079-6762-04-00133-7/S1079-6762-04-00133-7.pdf
https://www.ams.org/era/2004-10-10/S1079-6762-04-00133-7/S1079-6762-04-00133-7.pdf
https://www.ams.org/journals/era/2004-10-10/S1079-6762-04-00133-7/
https://eudml.org/doc/226667
https://lup.lub.lu.se/search/publication/ed94cfa2-17ae-4b2f-a9a3-455df22e40c0
https://www.lunduniversity.lu.se/lup/publication/ed94cfa2-17ae-4b2f-a9a3-455df22e40c0
https://portal.research.lu.se/en/publications/dimension-product-structure-of-hyperbolic-sets

A Case of Monotone Ratio Growth for Quadratic-Like Mappings: A case of monotone ratio growth for quadratic-like mappings

Autoři: Waldemar Pałuba

Zdroj: Bulletin of the Polish Academy of Sciences Mathematics. 52:381-393

Témata: Poincaré length, Dynamical systems involving maps of the interval, Dynamical systems with hyperbolic orbits and sets, quadratic-like mapping of an interval, nonlinearity, post-critical orbit, Poincaré push, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/85680?download.pdf
https://zbmath.org/2170007
https://doi.org/10.4064/ba52-4-4
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/bulletin-polish-acad-sci-math/all/52/4/85680/a-case-of-monotone-ratio-growth-for-quadratic-like-mappings
https://eudml.org/doc/280522
https://www.impan.pl/shop/publication/transaction/download/product/85680?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-article-BAT5-0005-0004

A dichotomy for three-dimensional vector fields

Autoři: C. A. Morales Maria José Pacifico

Zdroj: Ergodic Theory and Dynamical Systems. 23:1575-1600

Témata: Dichotomy, trichotomy of solutions to ordinary differential equations, Axiom A, attractor, repeller, Dynamical systems with hyperbolic orbits and sets, Dynamics induced by flows and semiflows, generic property, Generic properties, structural stability of dynamical systems, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2061939
https://doi.org/10.1017/s0143385702001621
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/dichotomy-for-threedimensional-vector-fields/965FE1959A8C57ECC7EE1F71CF096E8E
https://dialnet.unirioja.es/servlet/articulo?codigo=750432

Regular or stochastic dynamics in real analytic families of unimodal maps

Autoři: Welington de Melo Artur Avila Mikhail Lyubich

Zdroj: Inventiones mathematicae. 154:451-550

Témata: unimodal map, Generic properties, structural stability of dynamical systems, 01 natural sciences, Dynamical systems involving maps of the interval, Dynamical systems with hyperbolic orbits and sets, hyperbolic periodic orbit, quasiquadratic map, stochastic map, 0103 physical sciences, absolutely continuous invariant measure, regular map, attracting periodic orbit, Holomorphic families of dynamical systems, the Mandelbrot set, bifurcations, negative Schwarzian derivative, 0101 mathematics, quadratic family, Smooth ergodic theory, invariant measures for smooth dynamical systems

Popis souboru: application/xml

Přístupová URL adresa: http://www.math.sunysb.edu/~mlyubich/papers/ALM.pdf
https://zbmath.org/2078254
https://doi.org/10.1007/s00222-003-0307-6
https://rd.springer.com/article/10.1007/s00222-003-0307-6
https://link.springer.com/article/10.1007%2Fs00222-003-0307-6
https://core.ac.uk/display/23286234
https://ui.adsabs.harvard.edu/abs/2003InMat.154..451A/abstract

Entry and exit sets in the dynamics of area preserving Hénon map

Autoři: Emilia Petrisor

Zdroj: Chaos, Solitons & Fractals. 17:651-658

Témata: Symplectic mappings, fixed points (dynamical systems), Dynamical systems with hyperbolic orbits and sets, 0103 physical sciences, FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/nlin/0209046
http://arxiv.org/abs/nlin/0209046
https://www.sciencedirect.com/science/article/pii/S0960077902004757
http://www.sciencedirect.com/science/article/pii/S0960077902004757
http://ui.adsabs.harvard.edu/abs/2003CSF....17..651P/abstract
https://arxiv.org/abs/nlin/0209046
https://arxiv.org/pdf/nlin/0209046

Sums of Cantor sets whose sum of dimensions is close to 1: Sums of Cantor sets whose sum of dimensions is close to 1.

Autoři: Carlos Gustavo Tamm de Araujo Moreira Eduardo M Muñoz Morales

Zdroj: Nonlinearity. 16:1641-1647

Témata: Fractals, Hausdorff and packing measures, Dynamical systems with hyperbolic orbits and sets, Dimension theory of smooth dynamical systems, Foundations: limits and generalizations, elementary topology of the line, 0101 mathematics, 01 natural sciences, Bifurcations connected with nontransversal intersection in dynamical systems

Popis souboru: application/xml

Přístupová URL adresa: http://iopscience.iop.org/article/10.1088/0951-7715/16/5/305/pdf
https://ui.adsabs.harvard.edu/abs/2003Nonli..16.1641T/abstract
https://iopscience.iop.org/article/10.1088/0951-7715/16/5/305/pdf
https://iopscience.iop.org/article/10.1088/0951-7715/16/5/305