Dynamical SystemsAn International Journal Short Title: Dyn. Syst. Publisher: Taylor & Francis, London ISSN: 1468-9367; 1468-9375/e Online: http://www.tandfonline.com/loi/cdss20 Predecessor: Dynamics and Stability of Systems Comments: Journal; Indexed cover-to-cover Documents Indexed: 691 Publications (since 2001) References Indexed: 639 Publications with 14,100 References. all top 5 Latest Issues 38, No. 4 (2023) 38, No. 3 (2023) 38, No. 2 (2023) 38, No. 1 (2023) 37, No. 4 (2022) 37, No. 3 (2022) 37, No. 2 (2022) 37, No. 1 (2022) 36, No. 4 (2021) 36, No. 3 (2021) 36, No. 2 (2021) 36, No. 1 (2021) 35, No. 4 (2020) 35, No. 3 (2020) 35, No. 2 (2020) 35, No. 1 (2020) 34, No. 4 (2019) 34, No. 3 (2019) 34, No. 2 (2019) 34, No. 1 (2019) 33, No. 4 (2018) 33, No. 3 (2018) 33, No. 2 (2018) 33, No. 1 (2018) 32, No. 4 (2017) 32, No. 3 (2017) 32, No. 2 (2017) 32, No. 1 (2017) 31, No. 4 (2016) 31, No. 3 (2016) 31, No. 2 (2016) 31, No. 1 (2016) 30, No. 4 (2015) 30, No. 3 (2015) 30, No. 2 (2015) 30, No. 1 (2015) 29, No. 4 (2014) 29, No. 3 (2014) 29, No. 2 (2014) 29, No. 1 (2014) 28, No. 4 (2013) 28, No. 3 (2013) 28, No. 2 (2013) 28, No. 1 (2013) 27, No. 4 (2012) 27, No. 3 (2012) 27, No. 2 (2012) 27, No. 1 (2012) 26, No. 4 (2011) 26, No. 3 (2011) 26, No. 2 (2011) 26, No. 1 (2011) 25, No. 4 (2010) 25, No. 3 (2010) 25, No. 2 (2010) 25, No. 1 (2010) 24, No. 4 (2009) 24, No. 3 (2009) 24, No. 2 (2009) 24, No. 1 (2009) 23, No. 4 (2008) 23, No. 3 (2008) 23, No. 2 (2008) 23, No. 1 (2008) 22, No. 4 (2007) 22, No. 3 (2007) 22, No. 2 (2007) 22, No. 1 (2007) 21, No. 4 (2006) 21, No. 3 (2006) 21, No. 2 (2006) 21, No. 1 (2006) 20, No. 4 (2005) 20, No. 3 (2005) 20, No. 2 (2005) 20, No. 1 (2005) 19, No. 4 (2004) 19, No. 3 (2004) 19, No. 2 (2004) 19, No. 1 (2004) 18, No. 4 (2003) 18, No. 3 (2003) 18, No. 2 (2003) 18, No. 1 (2003) 17, No. 4 (2002) 17, No. 3 (2002) 17, No. 2 (2002) 17, No. 1 (2002) 16, No. 4 (2001) 16, No. 3 (2001) 16, No. 2 (2001) 16, No. 1 (2001) all top 5 Authors 19 Llibre, Jaume 17 Valls Anglés, Cláudia 9 Barreira, Luis Manuel 7 Ashwin, Peter 7 Matsumoto, Kengo 7 Stewart, Ian Nicholas 6 Chen, Ercai 6 Duan, Jinqiao 6 Glendinning, Paul Alexander 5 Castro, Sofia B. S. D. 5 Homburg, Ale Jan 5 Labouriau, Isabel S. 5 Lowenstein, John H. 5 Naudot, Vincent 5 Podvigina, Ol’ga Mikhaĭlovna 5 Vivaldi, Franco 4 Knobloch, Jürgen 4 Krauskopf, Bernd 4 Krupa, Martin 4 Ledesma, Diego Sebastian 4 Li, Bing 4 Lopes, Artur Oscar 4 Morales, Carlos Arnoldo 4 Mu, Chunlai 4 Postlethwaite, Claire M. 4 Riaza, Ricardo 4 Teixeira, Marco Antonio 4 Teng, Zhi-dong 4 Urbański, Mariusz 4 Varandas, Paulo 3 Aguiar, Manuela A. D. 3 Araújo, Vítor 3 Barrientos, Pablo G. 3 Beck, Christian 3 Buono, Pietro-Luciano 3 Buzzi, Claudio Aguinaldo 3 Catsigeras, Eleonora 3 Chen, Xiaopeng 3 Cheng, Wenchiao 3 Czornik, Adam 3 Da Silva, Fabiano Borges 3 Dangelmayr, Gerhard 3 Fisher, Todd L. 3 Gelfert, Katrin Grit 3 Giné, Jaume 3 Golubitsky, Martin A. 3 Kulczycki, Marcin 3 Lee, Keonhee 3 Lee, Manseob 3 Li, Zhiming 3 Liu, Lei 3 Lohse, Alexander 3 Ma, Dongkui 3 Nakagawa, Katsukuni 3 Nguyen Thieu Huy 3 Niezabitowski, Michał 3 Oprocha, Piotr 3 Oukil, Walid 3 Pinto de Carvalho, Sônia 3 Poggiaspalla, Guillaume 3 Pollicott, Mark 3 Quas, Anthony 3 Rodrigues, Alexandre A. P. 3 Rucklidge, Alastair M. 3 Sandstede, Björn 3 Scheutzow, Michael K. R. 3 Shu, Ji 3 Silva, Cesar E. 3 Souza, Josiney A. 3 Sumi, Naoya 3 van Strien, Sebastian J. 3 Wang, Chenwei 3 Yang, Jiazhong 3 Yin, Jiandong 3 Zhou, Xiaoyao 2 Afraimovich, Valentin S. 2 Agarwal, Ravi P. 2 Alves, Alexandre Miranda 2 Arbieto, Alexander 2 Ash, Drew D. 2 Bahsoun, Wael 2 Banaji, Murad 2 Ben Rejeb, Khadija 2 Bessa, Mário 2 Blé, Gamaliel 2 Bloch, Anthony Michael 2 Blyuss, Konstantin B. 2 Bose, Christopher J. 2 Bountis, Tassos C. 2 Boyarsky, Abraham 2 Boyle, Mike 2 Broomhead, David S. 2 Bruin, Henk 2 Carlsen, Toke Meier 2 Carvalho, Bernardo 2 Cendra, Hernán 2 Chattopadhyay, Joydev 2 Cheban, David Nikolai 2 Coleman, Michael J. 2 Collins, Peter J. ...and 895 more Authors all top 5 Fields 564 Dynamical systems and ergodic theory (37-XX) 163 Ordinary differential equations (34-XX) 49 Partial differential equations (35-XX) 45 Measure and integration (28-XX) 39 Biology and other natural sciences (92-XX) 37 Mechanics of particles and systems (70-XX) 35 Probability theory and stochastic processes (60-XX) 24 General topology (54-XX) 23 Systems theory; control (93-XX) 19 Operator theory (47-XX) 16 Number theory (11-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Numerical analysis (65-XX) 10 Difference and functional equations (39-XX) 10 Functional analysis (46-XX) 9 Fluid mechanics (76-XX) 8 Functions of a complex variable (30-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Group theory and generalizations (20-XX) 6 Topological groups, Lie groups (22-XX) 6 Differential geometry (53-XX) 6 Manifolds and cell complexes (57-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 Mechanics of deformable solids (74-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 478 Publications have been cited 2,762 times in 2,361 Documents Cited by ▼ Year ▼ A class of piecewise linear differential equations arising in biological models. Zbl 1054.34013Gouzé, Jean-Luc; Sari, Tewfik 54 2002 On the structure of attractors and invariant measures for a class of monotone random systems. Zbl 1061.37032Chueshov, Igor; Scheutzow, Michael 47 2004 The irregular set for maps with the specification property has full topological pressure. Zbl 1186.37034Thompson, Daniel 44 2010 Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 43 2009 Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A. 43 2001 High-order expansions of invariant manifolds of libration point orbits with applications to mission design. Zbl 1093.70012Masdemont, J. J. 35 2005 Rare events, exponential hitting times and extremal indices via spectral perturbation. Zbl 1263.37040Keller, Gerhard 34 2012 Exponential stability analysis of travelling waves solutions for nonlinear delayed cellular neural networks. Zbl 1382.34077Guo, Yingxin 31 2017 Combinatorial dynamics. Zbl 1058.37008Field, Michael 30 2004 Permanence criteria in non-autonomous predator-prey Kolmogorov systems and its applications. Zbl 1066.34048Teng, Zhidong; Li, Zhiming; Jiang, Haijun 27 2004 On the existence of pullback attractors for non-autonomous reaction-diffusion equations. Zbl 1145.35047Wang, Yonghai; Zhong, Chengkui 26 2008 Entry and return times distribution. Zbl 1295.37003Haydn, N. T. A. 26 2013 Oscillations, \(\text{SE}(2)\)-snakes and motion control: a study of the roller racer. Zbl 1127.70316Krishnaprasad, P. S.; Tsakiris, Dimitris P. 25 2001 Shadowable points. Zbl 1369.37030Morales, C. A. 24 2016 Discontinuity geometry for an impact oscillator. Zbl 1048.34025Chillingworth, D. R. J. 22 2002 New aspects in the unfolding of the nilpotent singularity of codimension three. Zbl 0993.37026Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi 22 2001 A strange attractor in the unfolding of an orbit-flip homoclinic orbit. Zbl 1184.37029Naudot, Vincent 21 2002 Shadowing for actions of some finitely generated groups. Zbl 1350.37030Osipov, Alexey V.; Tikhomirov, Sergey B. 21 2014 Lyapunov function construction for ordinary differential equations with linear programming. Zbl 1013.34051Marinósson, Sigurđur F. 20 2002 Switching near a network of rotating nodes. Zbl 1186.37060Aguiar, Manuela A. D.; Labouriau, Isabel S.; Rodrigues, Alexandre A. P. 20 2010 Almost periodic solutions for impulsive fractional differential equations. Zbl 1320.34012Stamov, Gani Tr.; Stamova, Ivanka M. 19 2014 Nonautonomous attractors of switching systems. Zbl 1136.37313Kloeden, P. E. 19 2006 Quantitative shadowable points. Zbl 1396.37031Kawaguchi, Noriaki 18 2017 Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066Golubitsky, M.; Pivato, M.; Stewart, I. 17 2004 A note on Gevrey regular KAM theory and the inverse approximation lemma. Zbl 1036.37022Wagener, Florian 17 2003 Stability properties of divergence-free vector fields. Zbl 1259.37019Ferreira, Célia 17 2012 Stability in simple heteroclinic networks in \(\mathbb{R}^4\). Zbl 1404.34053Castro, Sofia B. S. D.; Lohse, Alexander 16 2014 Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise. Zbl 1415.37100Lan, Yun; Shu, Ji 16 2019 Invariant scrambled sets and distributional chaos. Zbl 1171.37022Oprocha, Piotr 15 2009 Some results on the entropy of non-autonomous dynamical systems. Zbl 1370.37032Kawan, Christoph; Latushkin, Yuri 15 2016 Permanence and stability in non-autonomous logistic systems with infinite delay. Zbl 1035.34086Teng, Zhidong 15 2002 Finite-dimensional limiting dynamics of random dynamical systems. Zbl 1038.37041Langa, J. A. 15 2003 Closed trajectories in planar relay feedback systems. Zbl 1046.34024Giannakopoulos, Fotios; Pliete, Karin 15 2002 Small noise limit for diffusions near heteroclinic networks. Zbl 1281.34105Bakhtin, Yuri 15 2010 Multiple positive solutions of integral BVPs for high-order nonlinear fractional differential equations with impulses and distributed delays. Zbl 1321.34105Zhao, Kaihong 15 2015 Tangencies in invariant disc packings for certain planar piecewise isometries are rare. Zbl 1032.37026Ashwin, Peter; Fu, Xin-Chu 15 2001 Dynamical properties and synchronization of complex non-linear equations for detuned lasers. Zbl 1172.34033Mahmoud, Gamal M.; Bountis, T.; Al-Kashif, M. A.; Aly, Shaban A. 14 2009 Nonholonomic Euler-Poincaré equations and stability in Chaplygin’s sphere. Zbl 1036.70009Schneider, David 14 2002 The concept of bounded mean motion for toral homeomorphisms. Zbl 1190.37047Jäger, T. 14 2009 Examples of singular-hyperbolic attracting sets. Zbl 1153.37016Morales, C. A. 14 2007 Asymptotic regularity for the nonclassical diffusion equation with lower regular forcing term. Zbl 1229.35218Wu, Hongqing; Zhang, Zhuanye 14 2011 Flows with the (asymptotic) average shadowing property on three-dimensional closed manifolds. Zbl 1244.37018Arbieto, A.; Ribeiro, R. 14 2011 Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069Sandstede, Björn; Scheel, Arnd 14 2001 Age-structured predator-prey model with habitat complexity: oscillations and control. Zbl 1278.92037Bairagi, N.; Jana, D. 14 2012 Pullback attractors in \(H^1(\mathbb R^N)\) for non-autonomous nonclassical diffusion equations. Zbl 1284.35084Zhang, Fanghong; Liu, Yongfeng 14 2014 Extending Melnikov theory to invariant manifolds on non-compact domains. Zbl 1032.34041Wechselberger, Martin 13 2002 Some formulas for Lyapunov exponents and rotation numbers in two dimensions and the stability of the harmonic oscillator and the inverted pendulum. Zbl 1115.37329Imkeller, Peter; Lederer, Christian 13 2001 Qualitative features of matrix pencils and DAEs arising in circuit dynamics. Zbl 1125.37060Riaza, Ricardo; Tischendorf, Caren 13 2007 Reduction of deterministic coupled atmosphere-ocean models to stochastic ocean models: a numerical case study of the Lorenz-Maas system. Zbl 1071.76045Arnold, Ludwig; Imkeller, Peter; Wu, Yonghui 13 2003 Transitive sets for quasi-periodically forced monotone maps. Zbl 1057.37043Stark, J. 13 2003 The invariant manifold structure of the spatial Hill’s problem. Zbl 1062.70026Gómez, G.; Marcote, M.; Mondelo, J. M. 13 2005 Extending the permissible control loop latency for the controlled inverted pendulum. Zbl 1079.34060Sieber, J.; Krauskopf, B. 13 2005 Synchronization hypothesis in the Winfree model. Zbl 1379.37141Oukil, W.; Kessi, A.; Thieullen, Ph. 12 2017 Stability for impulsive control systems. Zbl 1025.37049Pereira, Fernando L.; Silva, Geraldo N. 12 2002 Singular Lagrangian systems and variational constrained mechanics on Lie algebroids. Zbl 1229.37045Iglesias, D.; Marrero, J. C.; Martín de Diego, D.; Sosa, D. 12 2008 A mechanism for switching near a heteroclinic network. Zbl 1204.37023Kirk, Vivien; Lane, Emily; Postlethwaite, Claire M.; Rucklidge, Alastair M.; Silber, Mary 12 2010 Lorenz attractors in unfoldings of homoclinic-flip bifurcations. Zbl 1268.37023Golmakani, A.; Homburg, A. J. 12 2011 Rotation numbers for quasi-periodically forced monotone circle maps. Zbl 1047.37025Stark, J.; Feudel, U.; Glendinning, P. A.; Pikovsky, A. 12 2002 Dynamics of surface diffeomorphisms relative to homoclinic and heteroclinic orbits. Zbl 1042.37030Collins, Pieter 12 2004 A constructive converse Lyapunov theorem on asymptotic stability for nonlinear autonomous ordinary differential equations. Zbl 1102.34038Hafstein, S. F. 12 2005 Flow equivalence and isotopy for subshifts. Zbl 1381.37020Boyle, Mike; Carlsen, Toke Meier; Eilers, Søren 11 2017 Delay induced canards in a model of high speed machining. Zbl 1185.37135Campbell, Sue Ann; Stone, Emily; Erneux, Thomas 11 2009 Chaotic double cycling. Zbl 1219.37020Rodrigues, Alexandre A. P.; Labouriau, Isabel S.; Aguiar, Manuela A. D. 11 2011 Exploiting discontinuities for stabilization of recurrent motions. Zbl 1063.93040Dankowicz, Harry; Piiroinen, Petri T. 11 2002 Measure attractors and Markov attractors. Zbl 1153.37391Crauel, H. 11 2008 Switching homoclinic networks. Zbl 1204.37028Homburg, Ale Jan; Knobloch, Jürgen 11 2010 Anholonomic frames in constrained dynamics. Zbl 1200.37056Crampin, M.; Mestdag, T. 11 2010 Extremal behaviour of chaotic dynamics. Zbl 1328.37003Freitas, Jorge Milhazes 11 2013 On stochastic stability of expanding circle maps with neutral fixed points. Zbl 1287.37028Shen, Weixiao; van Strien, Sebastian 11 2013 The restricted Hill full 4-body problem: application to spaceraft motion about binary asteroids. Zbl 1125.70006Scheeres, D. J.; Bellerose, J. 11 2005 Global existence and non-existence for a quasilinear degenerate parabolic system with nonlocal source. Zbl 1085.35080Du, Lili; Mu, Chunlai; Fan, Mingshu 11 2005 Monotonicity in chemical reaction systems. Zbl 1172.80004Banaji, Murad 10 2009 Bifurcation of limit cycles from a centre in \(\mathbb R^{4}\) in resonance \(1:N\). Zbl 1167.37027Buzzi, Claudio A.; Llibre, Jaume; Medrado, João C.; Torregrosa, Joan 10 2009 Tempered exponential dichotomies: admissibility and stability under perturbations. Zbl 1370.37106Barreira, Luis; Dragičević, Davor; Valls, Claudia 10 2016 On the asymptotic properties of piecewise contracting maps. Zbl 1365.37018Catsigeras, E.; Guiraud, P.; Meyroneinc, A.; Ugalde, E. 10 2016 Specification and partial hyperbolicity for flows. Zbl 1357.37049Sumi, Naoya; Varandas, Paulo; Yamamoto, Kenichiro 10 2015 Global attractors of pinched skew products. Zbl 1024.37017Glendinning, Paul 10 2002 Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010Stewart, Ian; Parker, Martyn 10 2008 Mixed-mode oscillations in a three time-scale system of ODEs motivated by a neuronal model. Zbl 1204.37085Jalics, Jozsi; Krupa, Martin; Rotstein, Horacio G. 10 2010 Conformal iterated function systems with overlaps. Zbl 1217.28006Deng, Qi-Rong; Ngai, Sze-Man 10 2011 Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312Stewart, Ian; Parker, Martyn 10 2007 Periodicity in a class of non-autonomous scalar equations with deviating arguments and applications to population models. Zbl 1062.34073Fan, Meng; Ye, Dan; Wong, Patricia J. Y.; Agarwal, Ravi P. 10 2004 A codimension-two resonant bifurcation from a heteroclinic cycle with complex eigenvalues. Zbl 1132.34033Postlethwaite, Claire M.; Dawes, Jonathan H. P. 10 2006 Livsic theorems, maximizing measures and the stable norm. Zbl 1057.37023Pollicott, Mark; Sharp, Richard 10 2004 Stability of quasi-simple heteroclinic cycles. Zbl 1411.34060Garrido-da-Silva, L.; Castro, S. B. S. D. 10 2019 Some properties on topological entropy of free semigroup action. Zbl 1384.37023Tang, Jingru; Li, Bing; Cheng, Wen-Chiao 10 2018 Entropy-minimizing models of surface diffeomorphisms relative to homoclinic and heteroclinic orbits. Zbl 1122.37032Collins, Pieter 10 2005 Global attraction in the sigma-delta modulator piecewise isometry. Zbl 1022.37026Deane, J. H. B. 9 2002 Ergodic optimization for noncompact dynamical systems. Zbl 1170.28303Jenkinson, O.; Mauldin, R. D.; Urbański, M. 9 2007 Abundance of elliptic dynamics on conservative three-flows. Zbl 1158.37010Bessa, Mário; Duarte, Pedro 9 2008 Fixed point global attractors and repellors in competitive Lotka-Volterra systems. Zbl 1247.34101Hou, Zhanyuan; Baigent, Stephen 9 2011 Generalized Hopf bifurcation in a class of planar switched systems. Zbl 1252.37041Huan, Song-Mei; Yang, Xiao-Song 9 2011 Heteroclinic binding. Zbl 1204.37089Rabinovich, Mikhail I.; Afraimovich, Valentin S.; Varona, Pablo 9 2010 Snakes and isolas in non-reversible conservative systems. Zbl 1254.35121Sandstede, Björn; Xu, Yancong 9 2012 Some properties of topological pressure of a semigroup of continuous maps. Zbl 1315.37010Ma, Dongkui; Liu, Shaohua 9 2014 Renormalization in a class of interval translation maps of \(d\) branches. Zbl 1115.37038Bruin, H. 9 2007 Dimension of measures for suspension flows. Zbl 1066.37014Barreira, L.; Radu, L.; Wolf, C. 9 2004 Anti-integrability in scattering billiards. Zbl 1058.37023Chen, Yi-Chiuan 9 2004 Density of metric entropies for linear toral automorphisms. Zbl 1244.37007Sun, Peng 9 2012 Sticky orbits in a kicked-oscillator model. Zbl 1098.37066Lowenstein, J. H.; Poggiaspalla, G.; Vivaldi, F. 9 2005 Characteristic matrix functions for delay differential equations with symmetry. Zbl 1518.34070de Wolff, Babette A. J. 1 2023 Two-dimensional heteroclinic connections in the generalized Lotka-Volterra system. Zbl 07686566Podvigina, Olga 1 2023 Nonuniform contractions and converse stability results via a smooth topological equivalence. Zbl 07701645Castañeda, Álvaro; Monzón, Pablo; Robledo, Gonzalo 1 2023 Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems. Zbl 1498.37052Barrientos, Pablo G.; Nakano, Yushi; Raibekas, Artem; Roldan, Mario 2 2022 Monotone iterative technique for nonlocal problems of damped elastic systems with delay. Zbl 1510.34169Wei, Mei; Li, Yongxiang 2 2022 Invariant Cantor sets in the parametrized Hénon-Devaney map. Zbl 1497.37049Leal, Bladismir; Muñoz, Sergio 1 2022 A categorical view of Poincaré maps and suspension flows. Zbl 1503.37037Suda, Tomoharu 1 2022 Topological speedups of \(\mathbb{Z}^d\)-actions. Zbl 1498.37006Johnson, Aimee S. A.; McClendon, David M. 1 2022 Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres. Zbl 1504.34073Llibre, Jaume; Valls, Claudia 1 2022 Ergodic optimization for some dynamical systems beyond uniform hyperbolicity. Zbl 1512.37037Yang, Dawei; Zhang, Jinhua 1 2022 A dynamical proof of the van der Corput inequality. Zbl 07618111Edeko, Nikolai; Kreidler, Henrik; Nagel, Rainer 1 2022 One-sided topological conjugacy of normal subshifts and gauge actions on the associated \(C^{\ast}\)-algebras. Zbl 1484.37011Matsumoto, Kengo 4 2021 \(C^0\)-stability for actions implies shadowing property. Zbl 1477.37028Iglesias, Jorge; Portela, Aldo 3 2021 The \(K\)-property for subadditive equilibrium states. Zbl 1477.37043Call, Benjamin; Park, Kiho 2 2021 Weak rigidity of entropy spectra. Zbl 1472.37006Nakagawa, Katsukuni 2 2021 A type of shadowing and distributional chaos. Zbl 1490.74054Kawaguchi, Noriaki 2 2021 On the regularity and approximation of invariant densities for random continued fractions. Zbl 1475.37042Taylor-Crush, Toby 1 2021 Relative equilibria, stability and bifurcations in Hamiltonian galactic tidal models. Zbl 1471.37074Zapata, J. L.; Crespo, F.; Ferrer, S. 1 2021 A central limit theorem for periodic orbits of hyperbolic flows. Zbl 1510.37014Cantrell, Stephen; Sharp, Richard 1 2021 Simultaneity of centres in double-reversible planar differential systems. Zbl 1471.34059Giné, Jaume; Valls, Claudia 1 2021 Mathematical modeling and nonstandard finite difference scheme analysis for the environmental and spillover transmissions of Avian influenza A model. Zbl 1472.37087Feukouo Fossi, A.; Lubuma, J.; Tadmon, C.; Tsanou, B. 1 2021 Pressure inequalities for Gibbs measures of countable Markov shifts. Zbl 1472.37027Rühr, René 1 2021 Global stability analysis of a delay cell-population model of hepatitis B infection with humoral immune response. Zbl 1484.37112Tadmon, Calvin; Foko, Severin; Rendall, Alan D. 1 2021 Geometric limit of Julia set of a family of rational functions with odd degree. Zbl 1485.37046Alves, A. M.; Silva e Silva, B. P.; Salarinoghabi, M. 1 2021 Group action with finite orbits on local dendrites. Zbl 1489.37024Abdalaoui, E. H. E.; Naghmouchi, I. 1 2021 Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. Zbl 1479.34057Cardoso, João L.; Llibre, Jaume; Novaes, Douglas D.; Tonon, Durval J. 6 2020 Gibbs states and Gibbsian specifications on the space \(\mathbb{R}^\mathbb{N}\). Zbl 1447.37046Lopes, Artur O.; Vargas, Victor 5 2020 A groupoid approach to \(C^*\)-algebras associated with \(\lambda\)-graph systems and continuous orbit equivalence of subshifts. Zbl 1476.46069Matsumoto, Kengo 4 2020 On inverse shadowing. Zbl 1466.37017Good, Chris; Mitchell, Joel; Thomas, Joe 4 2020 Asymptotic properties of a stochastic SIRS epidemic model with nonlinear incidence and varying population sizes. Zbl 1455.92139Rifhat, Ramziya; Muhammadhaji, Ahmadjan; Teng, Zhidong 4 2020 Leafwise shadowing property for partially hyperbolic diffeomorphisms. Zbl 1450.37022Castro, A.; Rodrigues, F.; Varandas, P. 4 2020 Dimensions in infinite iterated function systems consisting of bi-Lipschitz mappings. Zbl 1469.28004Chu, Chih-Yung; Ngai, Sze-Man 3 2020 Minimality of 5-adic polynomial dynamics. Zbl 1467.37096Kim, Donggyun; Kwon, Youngwoo; Song, Kyunghwan 3 2020 Equicontinuity and Li-Yorke pairs of dendrite maps. Zbl 1468.37010Askri, Ghassen 3 2020 Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type. Zbl 1451.60036Kesseböhmer, Marc; Schindler, Tanja I. 3 2020 Weighted upper metric mean dimension for amenable group actions. Zbl 1471.37030Tang, Dingxuan; Wu, Haiyan; Li, Zhiming 2 2020 Asymptotic behaviour of stochastic heat equations in materials with memory on thin domains. Zbl 1468.37055Shu, Ji; Li, Hui; Huang, Xin; Zhang, Jian 2 2020 Invariant multi-graphs in step skew-products. Zbl 1441.37047Gelfert, Katrin; Oliveira, Daniel 2 2020 Measures and entropy on non compact dynamics. Zbl 1439.37007Amini, Massoud 2 2020 Shadowing property for the free group acting in the circle. Zbl 1439.37022Iglesias, Jorge; Portela, Aldo 2 2020 Global attractors for semigroup actions on uniformizable spaces. Zbl 1439.37015Souza, Josiney A.; Alves, Richard W. M. 2 2020 Suspensions of homeomorphisms with the two-sided limit shadowing property. Zbl 1448.37020Aponte, Jesús; Carvalho, Bernardo; Cordeiro, Welington 2 2020 Optimal quantization via dynamics. Zbl 1466.62239Rosenblatt, Joseph; Roychowdhury, Mrinal Kanti 1 2020 Geometry of symplectic partially hyperbolic automorphisms on 4-torus. Zbl 1469.37022Lerman, L. M.; Trifonov, K. N. 1 2020 Decomposition of stochastic flow and an averaging principle for slow perturbations. Zbl 1468.60073Ledesma, Diego Sebastian; Borges da Silva, Fabiano 1 2020 Orbit growth of Dyck and Motzkin shifts via Artin-Mazur zeta function. Zbl 1468.37023Nordin, Azmeer; Md Noorani, Mohd Salmi; Che Dzul-Kifli, Syahida 1 2020 Characterization of uniform hyperbolicity for fibre-bunched cocycles. Zbl 1439.37037Velozo Ruiz, Renato 1 2020 Equivalent notions of hyperbolicity. Zbl 1455.37030Barreira, Luis; Valls, Claudia 1 2020 Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise. Zbl 1415.37100Lan, Yun; Shu, Ji 16 2019 Stability of quasi-simple heteroclinic cycles. Zbl 1411.34060Garrido-da-Silva, L.; Castro, S. B. S. D. 10 2019 Exponential ergodicity of some Markov dynamical systems with application to a Poisson-driven stochastic differential equation. Zbl 1411.37006Czapla, Dawid; Kubieniec, Joanna 8 2019 Explicit bounds for separation between Oseledets subspaces. Zbl 1417.47006Quas, Anthony; Thieullen, Philippe; Zarrabi, Mohamed 6 2019 Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection. Zbl 1411.34079Podvigina, Olga; Castro, Sofia B. S. D.; Labouriau, Isabel S. 5 2019 Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set. Zbl 1411.37014Bernardi, Olga; Florio, Anna 4 2019 Centre manifolds for infinite dimensional random dynamical systems. Zbl 1415.37098Chen, Xiaopeng; Roberts, Anthony J.; Duan, Jinqiao 4 2019 Invariant cone and synchronization state stability of the mean field models. Zbl 1421.37016Oukil, Walid; Thieullen, P.; Kessi, A. 4 2019 Geometric method for global stability and repulsion in Kolmogorov systems. Zbl 1418.37046Hou, Zhanyuan 4 2019 An avian influenza model with latency and vaccination. Zbl 1415.37110Modnak, Chairat; Wang, Jin 3 2019 Duck traps: two-dimensional critical manifolds in planar systems. Zbl 1440.34060Kuehn, Christian; Münch, Christian 3 2019 Geometric limits of Julia sets and connectedness locus of the family of polynomials \(P_c(z) = z^n + cz ^k\). Zbl 1456.37046Alves, Alexandre Miranda 3 2019 State splitting, strong shift equivalence and stable isomorphism of Cuntz-Krieger algebras. Zbl 1428.46042Matsumoto, Kengo 2 2019 Measure-theoretic pressure and topological pressure in mean metrics. 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Zbl 1381.37020Boyle, Mike; Carlsen, Toke Meier; Eilers, Søren 11 2017 ...and 378 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,962 Authors 29 Lee, Manseob 27 Wang, Bixiang 26 Llibre, Jaume 25 Ashwin, Peter 23 Teng, Zhi-dong 20 Morales, Carlos Arnoldo 20 Rodrigues, Alexandre A. P. 18 Hafstein, Sigurður Freyr 17 Aguiar, Manuela A. D. 17 Valls Anglés, Cláudia 16 Oertel-Jäger, Tobias Hendrik 15 Dias, Ana Paula S. 15 Kloeden, Peter Eris 15 Stewart, Ian Nicholas 15 Vaienti, Sandro 15 Varandas, Paulo 14 Dragičević, Davor 14 Freitas, Jorge Milhazes 13 Bakhtin, Yuri Yu. 13 Bessa, Mário 13 Gelfert, Katrin Grit 13 Lee, Keonhee 12 Barreira, Luis Manuel 12 Caraballo Garrido, Tomás 12 Fu, Xinchu 12 Rodríguez-Luis, Alejandro J. 12 Zhao, Kaihong 11 Algaba, Antonio 11 Freitas, Ana Cristina Moreira 11 Labouriau, Isabel S. 11 Lopes, Artur Oscar 11 Shu, Ji 10 Castro, Sofia B. S. D. 10 Díaz, Lorenzo Justiniano 10 Giesl, Peter 10 Langa, Jose’ Antonio 10 Mesón, Alejandro M. 10 Postlethwaite, Claire M. 10 Tian, Xueting 10 Vericat, Fernando 10 Zhou, Xiaoyao 9 Araújo, Vítor 9 Bloch, Anthony Michael 9 Chen, Ercai 9 Chen, Guanrong 9 Colombo, Leonardo Jesus 9 Ha, Seung-Yeal 9 Krauskopf, Bernd 9 Li, Risong 9 Liu, Xingbo 9 Lohse, Alexander 9 Ma, Dongkui 9 Martín de Diego, David 9 Sandstede, Björn 9 Todd, Mike 9 Xu, Junxiang 9 Yang, Xiaosong 8 Demers, Mark F. 8 Edwards, Roderick 8 Haydn, Nicolai T. A. 8 Iommi, Godofredo 8 Naudot, Vincent 8 Nicol, Matthew 8 Osinga, Hinke Maria 8 Piiroinen, Petri T. 8 Podvigina, Ol’ga Mikhaĭlovna 8 Riaza, Ricardo 8 Scheutzow, Michael K. R. 8 Wang, Lidong 8 Yan, Zuomao 8 Zhang, Jian 8 Zhou, Shengfan 7 Balasuriya, Sanjeeva 7 Banaji, Murad 7 Broer, Henk W. 7 Chen, Fengde 7 Czapla, Dawid 7 Duan, Jinqiao 7 Gasull, Armengol 7 Golubitsky, Martin A. 7 Horbacz, Katarzyna 7 Huan, Songmei 7 Ibáñez, Santiago 7 Lowenstein, John H. 7 Mamaev, Ivan Sergeevich 7 Mitchell, Kevin A. 7 Niezabitowski, Michał 7 Oprocha, Piotr 7 Rodrigues, Fagner B. 7 Scheel, Arnd 7 Souza, Josiney A. 7 Urbański, Mariusz 7 Volpert, Vitaly A. 7 Wojewódka-Ściążko, Hanna 7 Zenkov, Dmitry V. 7 Zhang, Dongfeng 7 Zhao, Yun 6 Backes, Lucas H. 6 Bizyaev, Ivan Alekseevich 6 Borisov, Alekseĭ Vladimirovich ...and 2,862 more Authors all top 5 Cited in 363 Journals 128 Dynamical Systems 101 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 85 Journal of Differential Equations 80 Journal of Mathematical Analysis and Applications 79 Physica D 70 Ergodic Theory and Dynamical Systems 67 Discrete and Continuous Dynamical Systems 56 Nonlinearity 46 Chaos 42 Discrete and Continuous Dynamical Systems. 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Mathematics 5 The Journal of Mathematical Neuroscience 5 Russian Journal of Nonlinear Dynamics 4 Archive for Rational Mechanics and Analysis 4 Biological Cybernetics 4 International Journal of Control 4 Mathematical Methods in the Applied Sciences 4 Reviews in Mathematical Physics 4 Applied Mathematics and Optimization 4 Stochastic Analysis and Applications 4 Asymptotic Analysis 4 The Annals of Applied Probability ...and 263 more Journals all top 5 Cited in 59 Fields 1,442 Dynamical systems and ergodic theory (37-XX) 633 Ordinary differential equations (34-XX) 315 Biology and other natural sciences (92-XX) 284 Partial differential equations (35-XX) 254 Mechanics of particles and systems (70-XX) 229 Probability theory and stochastic processes (60-XX) 163 Systems theory; control (93-XX) 114 Measure and integration (28-XX) 71 General topology (54-XX) 67 Numerical analysis (65-XX) 54 Operator theory (47-XX) 41 Fluid mechanics (76-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 39 Combinatorics (05-XX) 39 Difference and functional equations (39-XX) 35 Number theory (11-XX) 32 Differential geometry (53-XX) 32 Information and communication theory, circuits (94-XX) 30 Computer science (68-XX) 30 Statistical mechanics, structure of matter (82-XX) 26 Real functions (26-XX) 25 Mechanics of deformable solids (74-XX) 24 Group theory and generalizations (20-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Operations research, mathematical programming (90-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Topological groups, Lie groups (22-XX) 19 Integral equations (45-XX) 18 Functional analysis (46-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Manifolds and cell complexes (57-XX) 12 Statistics (62-XX) 11 Functions of a complex variable (30-XX) 11 Geophysics (86-XX) 10 Algebraic geometry (14-XX) 8 Convex and discrete geometry (52-XX) 8 Algebraic topology (55-XX) 8 Quantum theory (81-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 General and overarching topics; collections (00-XX) 6 Abstract harmonic analysis (43-XX) 6 Astronomy and astrophysics (85-XX) 5 Field theory and polynomials (12-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Associative rings and algebras (16-XX) 3 Mathematical logic and foundations (03-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Special functions (33-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year