On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions: On matching, and even rectifying, dynamical systems through Koopman operator eigenfunctions

Authors: Bollt, Erik M, Li, Qianxiao, Dietrich, Felix, Kevrekidis, Ioannis

Contributors: MATHEMATICS

Source: SIAM Journal on Applied Dynamical Systems. 17:1925-1960

Subject Terms: Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations, Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), Applications of operator theory to differential and integral equations, Linear composition operators, conjugacy, Dynamical Systems (math.DS), rectification, 16. Peace & justice, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable, Dynamical aspects of statistical mechanics, flow box, Dynamics induced by flows and semiflows, 0103 physical sciences, FOS: Mathematics, data-driven algorithms, Mathematics - Dynamical Systems, 0101 mathematics, Koopman operator, math.DS

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Access URL: http://arxiv.org/pdf/1712.07144
http://arxiv.org/abs/1712.07144
https://epubs.siam.org/doi/abs/10.1137/17M116207X
https://dblp.uni-trier.de/db/journals/siamads/siamads17.html#BolltLDK18
https://doi.org/10.1137/17M116207X

The Hypergeometric Equation and Ramanujan Functions: The hypergeometric equation and Ramanujan functions

Authors: Zudilin, W.

Contributors: Faculty of Science, School of Mathematical and Physical Sciences

Source: The Ramanujan Journal. 7:435-447

Subject Terms: nonlinear differential equations, Modular and automorphic functions, hypergeometric equation, Classical hypergeometric functions, \({}_2F_1\), Ramanujan functions, Modular functions, hypergeometric equations, 0101 mathematics, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable, Transcendence theory of other special functions, hypergeometric functions

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Access URL: https://link.springer.com/article/10.1023/B:RAMA.0000012426.23921.24
https://link.springer.com/10.1023/B:RAMA.0000012426.23921.24

Hecke Groups, Polynomial Maps and Matings: Hecke groups, polynomial maps and matings

Authors: Shaun Bullett, Marianne Freiberger

Source: International Journal of Modern Physics B. 17:3922-3931

Subject Terms: Structure of modular groups and generalizations, arithmetic groups, 0101 mathematics, Fuchsian groups and their generalizations (group-theoretic aspects), 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable

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Access URL: https://zbmath.org/2200421
https://doi.org/10.1142/s0217979203021915
http://ui.adsabs.harvard.edu/abs/2003IJMPB..17.3922B/abstract

The Fatou and Julia Sets of Multivalued Analytic Functions: The Fatou and Julia sets of multivalued analytical functions

Authors: P. A. Gumenuk

Source: Siberian Mathematical Journal. 43:1047-1054

Subject Terms: Fatou set, multivalued function, analytic relation, Julia set, 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, Normal functions of one complex variable, normal families, 0101 mathematics, complex dynamics, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable, normal family

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Access URL: https://zbmath.org/1899826
https://link.springer.com/article/10.1023/A%3A1021117301173

the fatou and julia sets of multivalued analytic functions: The Fatou and Julia sets of multivalued analytical functions

Authors: P. A. Gumenuk

Source: Siberian Mathematical Journal. 43(6):1047-1054

Subject Terms: Fatou set, multivalued function, analytic relation, Julia set, 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, Normal functions of one complex variable, normal families, complex dynamics, Dynamical systems involving relations and correspondences in one complex variable, normal family

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Access URL: https://zbmath.org/1899826
https://link.springer.com/article/10.1023/A%3A1021117301173

Desynchronization and chaotification of nonlinear dynamical systems

Authors: Steliana Codreanu

Source: Chaos, Solitons & Fractals. 13:839-843

Subject Terms: chaotification, Dynamical systems in control, Dynamical systems involving maps of the interval, Discrete-time control/observation systems, desynchronization, 0103 physical sciences, Nonlinear systems in control theory, chaos control, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable, Control problems involving ordinary differential equations, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

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Access URL: https://zbmath.org/1965095
https://doi.org/10.1016/s0960-0779(01)00060-1
https://ui.adsabs.harvard.edu/abs/2002CSF....13..839C/abstract
https://www.sciencedirect.com/science/article/pii/S0960077901000601

Contractive curves

Authors: Araceli Bonifant, Marius Dabija

Source: International Journal of Mathematics and Mathematical Sciences, Vol 30, Iss 4, Pp 227-238 (2002)

Subject Terms: Metric (unit), Economics, Geometry, Plane (geometry), Mathematical analysis, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations, subordination, QA1-939, FOS: Mathematics, Teichmüller Curves, 0101 mathematics, Mathematical Physics, Domain (mathematical analysis), Computer graphics (images), Expanding holomorphic maps, hyperbolicity, structural stability of holomorphic dynamical systems, Bifurcations in Planar Polynomial Systems, Applied Mathematics, Pure mathematics, Optimal Transport in Geometry and Analysis, Computer science, Operations management, Dynamical Systems and Chaos Theory, Physical Sciences, Planar, Geometry and Topology, Holomorphic families of dynamical systems, the Mandelbrot set, bifurcations, Mathematics

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Access URL: https://zbmath.org/1779110
https://doi.org/10.1155/s0161171202011924
https://doaj.org/article/7b78ef333b93473b88bb1e7df40b8db9

Regular and limit sets for holomorphic correspondences

Authors: Shaun Bullett, Christopher Penrose

Source: Fundamenta Mathematicae. 167:111-171

Subject Terms: holomorphic dynamics, Kleinian groups (aspects of compact Riemann surfaces and uniformization), regular sets, correspondences, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, limit sets, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89225?download.pdf
https://zbmath.org/1605240
https://doi.org/10.4064/fm167-2-2
https://www.impan.pl/shop/publication/transaction/download/product/89225?download.pdf
http://journals.impan.pl/cgi-bin/doi?fm167-2-2
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-fm167-2-2
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/fundamenta-mathematicae/all/167/2/89225/regular-and-limit-sets-for-holomorphic-correspondences

A combination theorem for covering correspondences and an application to mating polynomial maps with Kleinian groups

Authors: Shaun Bullett

Source: Conformal Geometry and Dynamics of the American Mathematical Society. 4:75-96

Subject Terms: holomorphic dynamics, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Quasiconformal methods and Teichmüller theory, etc. (dynamical systems), 0101 mathematics, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable

File Description: application/xml

Access URL: https://www.ams.org/ecgd/2000-04-04/S1088-4173-00-00056-4/S1088-4173-00-00056-4.pdf
https://www.ams.org/journals/ecgd/2000-04-04/S1088-4173-00-00056-4/home.html
https://www.ams.org/ecgd/2000-04-04/S1088-4173-00-00056-4/S1088-4173-00-00056-4.pdf

Mating quadratic maps with Kleinian groups via quasiconformal surgery

Authors: Bullett, S R, Harvey, W J

Source: Electronic Research Announcements of the American Mathematical Society. 6:21-30

Subject Terms: holomorphic dynamics, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Quasiconformal methods and Teichmüller theory, etc. (dynamical systems), 0101 mathematics, 16. Peace & justice, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable

File Description: application/xml

Access URL: https://www.ams.org/era/2000-06-03/S1079-6762-00-00076-7/S1079-6762-00-00076-7.pdf
https://zbmath.org/1460676
https://doi.org/10.1090/s1079-6762-00-00076-7
https://www.ams.org/era/2000-06-03/S1079-6762-00-00076-7/S1079-6762-00-00076-7.pdf
https://www.ams.org/journal-getitem?pii=S1079-6762-00-00076-7

Models of knowing and the investigation of dynamical systems

Authors: Tanya Schmah, Alistair Mees, Paul E. Rapp

Source: Physica D: Nonlinear Phenomena. 132:133-149

Subject Terms: embedding, Relations of dynamical systems with symplectic geometry and topology, scientific understanding of dynamical systems, 0103 physical sciences, 0101 mathematics, algorithmic modeling, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable, Approximation methods and numerical treatment of dynamical systems

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Access URL: https://zbmath.org/1370243
https://doi.org/10.1016/s0167-2789(99)00035-4
https://www.sciencedirect.com/science/article/pii/S0167278999000354
https://researchers.mq.edu.au/en/publications/models-of-knowing-and-the-investigation-of-dynamical-systems
http://ui.adsabs.harvard.edu/abs/1999PhyD..132..133R/abstract

Lipschitz maps and nets in Euclidean space

Authors: McMullen, Curtis

Source: Geometric And Functional Analysis. 8:304-314

Subject Terms: bi-Lipschitz map, bi-Lipschitz homeomorphism, Quasiconformal methods and Teichmüller theory, etc. (dynamical systems), Jacobian determinant, 0101 mathematics, 01 natural sciences, Dynamical systems involving relations and correspondences in one complex variable, quasiconformal vector field

File Description: application/xml; application/pdf

Access URL: http://abel.math.harvard.edu/~ctm/home/text/talks/michigan/ziwet/html/home/www/papers/home/text/papers/lip/lip.pdf
https://core.ac.uk/display/24435032
https://www.math.harvard.edu/~ctm/papers/home/text/papers/lip/lip.pdf
https://dash.harvard.edu/bitstream/handle/1/9871963/lipschitz_maps.pdf?sequence=1
https://dash.harvard.edu/bitstream/1/9871963/1/lipschitz_maps.pdf
https://link.springer.com/content/pdf/10.1007/s000390050058.pdf
https://dash.harvard.edu/handle/1/9871963

Sequences of multivalued meromorphic mappings and laminar currents

Authors: Dinh, Tien-Cuong

Subject Terms: exceptional ensembles, Integration on analytic sets and spaces, currents, compact Kählerian varieties, invariant measure, Meromorphic mappings in several complex variables, laminarity of Green currents, attractors, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Dynamical systems involving relations and correspondences in one complex variable, laminar currents, Currents, distribution of repelling fixed-points, iterations of meromorphic multivalued mapping, Real submanifolds in complex manifolds, equidistributed measure, tissued (geometric) current, meromorphic transforms, sequences of meromorphic multi-valued mappings, equidistribution of preimages, inverse bran\-ches

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Access URL: https://zbmath.org/2242796

Mating Kleinian groups isomorphic to \(C_2\ast C_5\) with quadratic polynomials

Authors: Freiberger, Marianne

Subject Terms: rational maps, holomorphic correspondence, quasi-conformal surgery, Quasiconformal methods and Teichmüller theory, etc. (dynamical systems), Holomorphic families of dynamical systems, the Mandelbrot set, bifurcations, Dynamical systems involving relations and correspondences in one complex variable, Kleinian groups, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

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Access URL: https://zbmath.org/2116080

zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Authors: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Subject Terms: Stochastic systems in control theory (general), Dynamical systems involving relations and correspondences in one complex variable, Generation, random and stochastic difference and differential equations, Stochastic ordinary differential equations (aspects of stochastic analysis)

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Access URL: https://zbmath.org/1827653