Fractal embedded boxes of bifurcations. (English) Zbl 07895104
Ukr. Math. J. 76, No. 1, 80-96 (2024); and Ukr. Mat. Zh. 76, No. 1, 75-91 (2024).
Found 155 Documents (Results 1–100)
Backward asymptotics in S-unimodal maps. (English) Zbl 1522.37019
Reviewer: Adriana Buică (Cluj-Napoca)
Large deviation principle for \(S\)-unimodal maps with flat critical points. (English) Zbl 1490.37050
Topological equiconjugacy for unimodal nonautonomous discrete dynamical systems with limit property. (English) Zbl 1493.37048
Reviewer: Katarina Janková (Bratislava)
The deconstruction of a fractal. (English) Zbl 1483.28009
MSC:
28A80
An overview of unimodal inverse limit spaces. (English) Zbl 1487.37048
Devaney, Robert L. (ed.) et al., Topological dynamics and topological data analysis. IWCTA 2018. Selected papers based on the presentations at the international workshop and conference on topology & applications, Kochi, India, December 9–11, 2018. Singapore: Springer. Springer Proc. Math. Stat. 350, 1-13 (2021).
Topological bifurcation structure of one-parameter families of \(C^1\) unimodal maps. (English) Zbl 1487.37014
Contact unimodal map germs from the plane to the plane. (English) Zbl 1468.58010
Reviewer: Raúl Oset Sinha (València)
Asymmetric unimodal maps with non-universal period-doubling scaling laws. (English) Zbl 1451.37058
Reviewer: Jonathan Hoseana (Bandung)
Planar embeddings of chainable continua. (English) Zbl 1458.37025
Reviewer: K. T. Hallenbeck (Chester)
Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos. (English) Zbl 1443.37033
Reviewer: Antonio Linero Bas (Murcia)
Recognition of unimodal map germs from the plane to the plane by invariants. (English) Zbl 1405.14069
Reviewer: Tadeusz Krasiński (Łódź)
Central limit theorem for the modulus of continuity of averages of observables on transversal families of piecewise expanding unimodal maps. (English) Zbl 1387.37025
Decay of correlations for Fibonacci unimodal interval maps. (English) Zbl 1384.37049
Reviewer: Steve Pederson (Atlanta)
Erratum to: “On double spirals in Fibonacci-like unimodal inverse limit spaces”. (English) Zbl 1358.37039
Reviewer: Matej Merhar (Maribor)
The instantaneous local transition of a stable equilibrium to a chaotic attractor in piecewise-smooth systems of differential equations. (English) Zbl 1366.37116
Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture. (English) Zbl 1367.54020
Reviewer: Alicia Santiago Santos (Oaxaca)
Composants in indecomposable inverse limits of unimodal maps. (English) Zbl 1355.54040
Reviewer: Thomas B. Ward (Leeds)
The topological complexity of Cantor attractors for unimodal interval maps. (English) Zbl 1352.37116
Real bounds and Lyapunov exponents. (English) Zbl 1364.37091
Reviewer: Maria Fernanda Botelho (Memphis)
New chaotic planar attractors from smooth zero entropy interval maps. (English) Zbl 1422.37019
MSC:
37D45
Application of Gray codes to the study of the theory of symbolic dynamics of unimodal maps. (English) Zbl 1457.37053
Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps. (English) Zbl 1350.37042
On double spirals in Fibonacci-like unimodal inverse limit spaces. (English) Zbl 1311.37007
Topol. Proc. 43, 83-97 (2014); erratum ibid. 49, 251-252 (2017).
Reviewer: Matej Merhar (Maribor)
Period 3 and chaos for unimodal maps. (English) Zbl 1305.37020
Reviewer: Steve Pederson (Atlanta)
Truth-content and phase transitions of random Boolean networks with generic logics. (English) Zbl 1283.37071
The bundle plot: evolution of symbolic space under the system parameter changes. (English) Zbl 1275.37025
Toeplitz kneading sequences and adding machines. (English) Zbl 1280.54022
Reviewer: Thomas B. Ward (Durham)
Stronger Lasota-Yorke inequality for one-dimensional piecewise expanding transformations. (English) Zbl 1366.37095
Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps. (Réponse linéaire pour les déformations lisses d’applications unimodales génériques non-uniformément hyperboliques.) (English. French summary) Zbl 1277.37045
Reviewer: Anke Pohl (Göttingen)
The Ingram conjecture. (English) Zbl 1285.54030
Reviewer: Iztok Banič (Maribor)
Collected papers of John Milnor. VI: Dynamical systems (1953–2000). Edited by Araceli Bonifant. (English) Zbl 1278.37006
Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9139-1/hbk). xii, 546 p. (2012).
Reviewer: Lasse Rempe (Liverpool)
Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize. (English) Zbl 1280.37036
Reviewer: Alexey A. Glutsyuk (Lyon)
Unimodal maps as boundary restrictions of two-dimensional full-folding maps. (English) Zbl 1243.54057
Reviewer: Antonios Manoussos (Bielefeld)
MSC:
54H20
Non-autonomous periodic systems with Allee effects. (English) Zbl 1204.39016
Reviewer: Fozi Dannan (Damascus)
Adaptive feedback control of periodic orbits in chaotic systems. (English) Zbl 1190.37030
Sanjuán, Miguel A. F. (ed.) et al., Recent progress in controlling chaos. Hackensack, NJ: World Scientific (ISBN 978-981-4291-69-9/hbk). Series on Stability, Vibration and Control of Systems, Series B 16, 45-72 (2010).
The \(\alpha \)-limit sets of a unimodal map without homtervals. (English) Zbl 1181.37055
Reviewer: Steve Pederson (Atlanta)
MSC:
37E05
54H20
Characters of the unimodal map’s kneading sequence. (Chinese. English summary) Zbl 1212.37066
Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. (English) Zbl 1202.37008
Reviewer: Yoshihide Kozai (Suginami Tokyo)
Dimension and measure of admissible kneading sequences with product metric. (Chinese. English summary) Zbl 1212.28016
Definition and applications of the ascent-probability distribution in one-dimensional maps. (English) Zbl 1182.37001
Renormalisation-induced phase transitions for unimodal maps. (English) Zbl 1179.37056
Reviewer: Steve Pederson (Atlanta)
Linear response formula for piecewise expanding unimodal maps. (English) Zbl 1140.37008
Nonlinearity 21, No. 4, 677-711 (2008); corrigendum ibid. 25, No. 7, 2203-2205 (2012).
Reviewer: Alois Klíč (Praha)
Continuous itinerary functions and dendrite maps. (English) Zbl 1130.54013
Reviewer: Leonhard R. Rubin (Norman)
Symbolic dynamics and number theory for tent maps and beta transformations. (English) Zbl 1132.37304
Continuous itinerary functions on dendroids. (English) Zbl 1122.37030
Reviewer: Georgy Osipenko (St. Peterburg)
On Hausdorff dimension of unimodal attractors. (English) Zbl 1114.37021
Reviewer: Alois Klíč (Praha)
Strange adding machines. (English) Zbl 1096.37005
Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps. (English) Zbl 1081.37021
Reviewer: Ľubomír Snoha (Banská Bystrica)
Phase-parameter relation and sharp statistical properties for general families of unimodal maps. (English) Zbl 1145.37022
Eells, James (ed.) et al., Geometry and dynamics. International conference in honor of the 60th anniversary of Alberto Verjovsky, Cuernavaca, Mexico, January 6–11, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3851-2/pbk). Contemporary Mathematics 389. Aportaciones Matemáticas, 1-42 (2005).
Reviewer: Mike Hurley (Cleveland)
Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps. (English) Zbl 1087.37029
Reviewer: Alois Klíč (Praha)
The complexity of Fibonacci-like kneading sequences. (English) Zbl 1077.37012
Reviewer: Ľubomír Snoha (Banská Bystrica)
One dimensional unimodal map of chaos theory. (Chinese. English summary) Zbl 1102.37308
Quadratic regular reversal maps. (English) Zbl 1077.37029
Reviewer: Steve Pederson (Atlanta)
Thickness of Julia sets of Feigenbaum polynomials with high order critical points. (English) Zbl 1052.37040
Topics from one-dimensional dynamics. (English) Zbl 1074.37022
London Mathematical Society Student Texts 62. Cambridge: Cambridge University Press (ISBN 0-521-83896-7/hbk; 0-521-54766-0/pbk; 978-0-511-61717-1/ebook). xiv, 297 p. (2004).
Reviewer: Jozef Bobok (Praha)
Monotonicity of topological entropy for one-parameter families of unimodal mappings. (Russian, English) Zbl 1076.37511
Ukr. Mat. Zh. 55, No. 11, 1443-1449 (2003); translation in Ukr. Math. J. 55, No. 11, 1733-1741 (2003).
Regular or stochastic dynamics in real analytic families of unimodal maps. (English) Zbl 1050.37018
Reviewer: Victor Jiménez López (Murcia)
Continuity of the measure of maximal entropy for unimodal maps on the interval. (English) Zbl 1207.37026
Rotation sets for unimodal maps of the interval. (English) Zbl 1042.37032
Reviewer: Jozef Bobok (Praha)
Composite families of maps. (English) Zbl 1006.54020
MSC:
54C10
Inverse limits on \([0,1]\) using piecewise linear unimodal bonding maps. II. (English) Zbl 1041.54036
Illanes, Alejandro (ed.) et al., Continuum theory. Proceedings of the special session held at the fourth joint international meeting of the American Mathematical Society and the Sociedad Matemática Méxicana, Denton, TX, USA, May 19–22, 2002. In honor of Professor Sam B. Nadler, jun.’s 60th birthday. New York, NY: Marcel Dekker (ISBN 0-8247-0875-X/pbk). Lect. Notes Pure Appl. Math. 230, 143-161 (2002).
Reviewer: Thomas Ward (Norwich)
MSC:
54H20
54F15
Inverse limits on [0,1] using sequences of piecewise linear unimodal bonding maps. (English) Zbl 1014.37029
Reviewer: Messoud Efendiev (Berlin)
A partial classification of inverse limit spaces of tent maps with periodic critical points. (English) Zbl 1032.54021
Reviewer: L.R.Rubin (Norman)
Bifurcation of unimodal maps. (Bifurcations d’applications unimodales.) (French. Abridged English version) Zbl 1015.37028
Reviewer: Eugene Ershov (St.Peterburg)
Intermittency in families of unimodal maps. (English) Zbl 1032.37020
Reviewer: Peter Raith (Wien)
Periodic orbit theory applied to a chaotically oscillating gas bubble in water. (English) Zbl 1051.76004
Destroyable restrictive intervals and two unimodal map models arbitrarily close to homoclinic tangencies. (English) Zbl 1004.37024
Ladde, G. S. (ed.) et al., Dynamic systems and applications. Volume 3. Proceedings of the 3rd international conference, Morehouse College, Atlanta, GA, USA, May 26-29, 1999. Atlanta, GA: Dynamic Publishers. 505-509 (2001).
Reviewer: Messoud Efendiev (Berlin)
MSC:
37E05
Schwarzian derivative in unimodal dynamics. (La dérivée schwarzienne en dynamique unimodale.) (French. English summary) Zbl 0983.37043
Getting rid of the negative Schwarzian derivative condition. (English) Zbl 0988.37044
Reviewer: Robert Cowen (Gaborone)
MSC:
37E05
Abundance of unimodal maps with dense critical orbit and prefixed critical orbit. (English) Zbl 0959.37030
Reviewer: Ale Jan Homburg (Amsterdam)
Parabolic limits of renormalization. (English) Zbl 0982.37041
Reviewer: Alois Klíč (Praha)
Filter Results by …
Document Type
- Journal Articles (141)
- Collection Articles (10)
- Books (4)
all
top 5
Author
- Bruin, Henk (21)
- Nowicki, Tomasz (7)
- Baladi, Viviane (5)
- Shen, Weixiao (5)
- Anušić, Ana (4)
- Činč, Jernej (4)
- Keller, Gerhard (4)
- Lyubich, Mikhail (4)
- Sands, Duncan (4)
- Smania, Daniel (4)
- van Strien, Sebastian J. (4)
- Avila, Artur (3)
- de Melo, Welington (3)
- Kozlovski, Oleg S. (3)
- Raines, Brian E. (3)
- Sousa Ramos, José (3)
- Alvin, Lori (2)
- Aslam, Saima (2)
- Baldwin, Stewart L. (2)
- Binyamin, Muhammad Ahsan (2)
- Block, Louis Stuart (2)
- Bollt, Erik M. (2)
- Brucks, Karen M. (2)
- Elaydi, Saber Nasr (2)
- Fedorenko, Volodymyr Vasyl’ovych (2)
- Graczyk, Jacek (2)
- Huang, Weihong (2)
- Ingram, William T. (2)
- Keesling, James Edgar (2)
- Kolyada, Sergiǐ Fedorovych (2)
- Li, Simin (2)
- Moreira, Carlos Gustavo Tamm de Araujo (2)
- Oliveira, Henrique M. (2)
- Sharkovs’kyĭ, Oleksandr Mykolaĭovych (2)
- Shultz, Fred (2)
- Sivak, Andrei G. (2)
- Štimac, Sonja (2)
- Świątek, Grzegorz (2)
- Tresser, Charles (2)
- Volkova, O. Yu. (2)
- Zhang, Aihua (2)
- Agliari, Anna (1)
- Aihara, Kazuyuki (1)
- Alawida, Moatsum (1)
- Allouche, Jean-Paul Simon (1)
- Álvarez, Gonzalo A. (1)
- Ando, Hiroyasu (1)
- Araujo, Ermerson (1)
- Arroyo, David (1)
- Barge, Marcy M. (1)
- Bartłomiejczyk, Piotr (1)
- Billings, Lora (1)
- Blasco, Fernando (1)
- Blokh, Alexander M. (1)
- Bobok, Jozef (1)
- Boccaletti, Stefano (1)
- Bonifant, Araceli M. (1)
- Borcherds, P. H. (1)
- Boroński, Jan P. (1)
- Brockett, Roger Ware (1)
- Cánovas Peña, Jose Salvador (1)
- Cao, Yonghao (1)
- Castañeda, Alvaro (1)
- Cebuhar, Wenceslao A. (1)
- Chaté, Hugues (1)
- Chen, Fangyue (1)
- Chen, Guangzhi (1)
- Chen, Liang (1)
- Chen, Shaoying (1)
- Cheng, Ercai (1)
- Cheng, Kaijen (1)
- Chung, Yong Moo (1)
- Cleveland, Christopher (1)
- Collet, Pierre (1)
- Cosnard, Michel Y. (1)
- Csabai, István (1)
- Cui, Hongfei (1)
- Cvitanović, Predrag (1)
- Dahlqvist, Per (1)
- D’Aniello, Emma (1)
- Davies, Huw G. (1)
- de Faria, Edson (1)
- De Leo, Roberto (1)
- de Lima, Amanda Ferreira (1)
- Deaconu, Valentin (1)
- Ding, Yiming (1)
- Dobbs, Neil B. (1)
- Dodd, Roger K. (1)
- Du, Bau-Sen (1)
- Eslami, Peyman (1)
- Fernandes, Sara (1)
- Gao, Rui (1)
- Gardini, Laura (1)
- Glendinning, Paul Alexander (1)
- González, Antonia (1)
- Good, Chris (1)
- Góra, Paweł (1)
- Gorbovickis, Igors (1)
- Guarino, Pablo (1)
- Hawkins, Jane M. (1)
- and 91 more Authors
all
top 5
Serial
- Commun. Math. Phys. (9)
- Ergodic Theory Dyn. Syst. (9)
- Nonlinearity (7)
- Topology Appl. (6)
- Topol. Proc. (6)
- Discrete Contin. Dyn. Syst. (6)
- Chaos Solitons Fractals (5)
- Invent. Math. (4)
- Int. J. Bifurcation Chaos Appl. Sci. Eng. (4)
- J. Difference Equ. Appl. (4)
- Ann. Sci. Éc. Norm. Supér. (4) (3)
- Fundam. Math. (3)
- Proc. Am. Math. Soc. (3)
- Commun. Nonlinear Sci. Numer. Simul. (3)
- Qual. Theory Dyn. Syst. (3)
- C. R., Math., Acad. Sci. Paris (3)
- J. Stat. Phys. (2)
- Phys. Lett., A (2)
- Port. Math. (2)
- Trans. Am. Math. Soc. (2)
- Ann. Inst. Henri Poincaré, Phys. Théor. (2)
- Grazer Math. Ber. (2)
- Discrete Dyn. Nat. Soc. (2)
- Ann. Math. (2) (2)
- Far East J. Dyn. Syst. (2)
- Arch. Mech. (1)
- Bull. Aust. Math. Soc. (1)
- Isr. J. Math. (1)
- J. Anal. Math. (1)
- J. Math. Phys. (1)
- Math. Methods Appl. Sci. (1)
- Ukr. Math. J. (1)
- Ukr. Mat. Zh. (1)
- Z. Nat.forsch., A: Phys. Sci. (1)
- Ann. Inst. Fourier (1)
- Colloq. Math. (1)
- J. Math. Soc. Japan (1)
- Real Anal. Exch. (1)
- Theor. Comput. Sci. (1)
- Tokyo J. Math. (1)
- Appl. Math. Mech., Engl. Ed. (1)
- Acta Math. Appl. Sin., Engl. Ser. (1)
- Int. J. Algebra Comput. (1)
- Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B (1)
- J. Phys. A, Math. Gen. (1)
- Proc. R. Soc. Lond., Ser. A (1)
- C. R. Acad. Sci., Paris, Sér. I (1)
- Kexue Tongbao, Sci. Bull. (1)
- Acta Math. Sci. (1)
- Acta Math. Sin., New Ser. (1)
- Appl. Math., J. Chin. Univ. (1)
- Topol. Methods Nonlinear Anal. (1)
- J. Math. Sci., New York (1)
- New York J. Math. (1)
- Nonlinear Dyn. (1)
- Sci. Bull. Josai Univ. (1)
- C. R. Acad. Sci., Paris, Sér. I, Math. (1)
- Geom. Topol. (1)
- J. Ningxia Univ., Nat. Sci. Ed. (1)
- Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka (1)
- Acta Math. Sin., Engl. Ser. (1)
- Discrete Contin. Dyn. Syst., Ser. B (1)
- SIAM J. Appl. Dyn. Syst. (1)
- J. Inst. Math. Jussieu (1)
- Adv. Difference Equ. (1)
- Lond. Math. Soc. Stud. Texts (1)
- Math. Appl., Dordr. (1)
- Acta Math. Sin., Chin. Ser. (1)
- J. Mod. Dyn. (1)
- J. Nanjing Univ. Inf. Sci. Technol., Nat. Sci. (1)
- Sémin. Théor. Nombres, Univ. Bordeaux I (1)
- Arnold Math. J. (1)
all
top 5
Year of Publication
- 2024 (1)
- 2023 (1)
- 2022 (4)
- 2021 (2)
- 2020 (6)
- 2019 (1)
- 2018 (4)
- 2017 (2)
- 2016 (5)
- 2015 (1)
- 2014 (4)
- 2013 (4)
- 2012 (7)
- 2010 (3)
- 2009 (8)
- 2008 (1)
- 2007 (4)
- 2006 (7)
- 2005 (6)
- 2004 (5)
- 2003 (8)
- 2002 (8)
- 2001 (4)
- 2000 (3)
- 1999 (6)
- 1998 (13)
- 1997 (5)
- 1996 (4)
- 1995 (3)
- 1994 (1)
- 1993 (4)
- 1992 (1)
- 1991 (2)
- 1990 (2)
- 1989 (4)
- 1988 (3)
- 1987 (1)
- 1986 (1)
- 1985 (2)
- 1984 (1)
- 1983 (1)
- 1982 (1)
- 1981 (1)
Software
- SINGULAR (2)
- NIST Statistical Test Suite (1)
