## Dynamical Systems

### An 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: Indexed cover-to-cover
 Documents Indexed: 644 Publications (since 2001) References Indexed: 593 Publications with 12,922 References.
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### Latest Issues

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### Authors

 16 Llibre, Jaume 16 Valls Anglés, Cláudia 8 Barreira, Luis Manuel 7 Ashwin, Peter 7 Stewart, Ian Nicholas 6 Chen, Ercai 6 Duan, Jinqiao 6 Glendinning, Paul Alexander 6 Matsumoto, Kengo 5 Castro, Sofia B. S. D. 5 Homburg, Ale Jan 5 Labouriau, Isabel S. 5 Lowenstein, John H. 5 Naudot, Vincent 5 Vivaldi, Franco 4 Knobloch, Jürgen 4 Krauskopf, Bernd 4 Krupa, Martin 4 Lopes, Artur Oscar 4 Mu, Chunlai 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 Catsigeras, Eleonora 3 Chen, Xiaopeng 3 Cheng, Wenchiao 3 Czornik, Adam 3 Dangelmayr, Gerhard 3 Fisher, Todd L. 3 Gelfert, Katrin Grit 3 Giné, Jaume 3 Golubitsky, Martin A. 3 Kulczycki, Marcin 3 Ledesma, Diego Sebastian 3 Lee, Keonhee 3 Lee, Manseob 3 Li, Bing 3 Li, Zhiming 3 Ma, Dongkui 3 Morales, Carlos Arnoldo 3 Niezabitowski, Michał 3 Oprocha, Piotr 3 Pinto de Carvalho, Sônia 3 Podvigina, Ol’ga Mikhaĭlovna 3 Poggiaspalla, Guillaume 3 Pollicott, Mark 3 Postlethwaite, Claire M. 3 Quas, Anthony 3 Rodrigues, Alexandre A. P. 3 Rucklidge, Alastair M. 3 Sandstede, Björn 3 Shu, Ji 3 Souza, Josiney A. 3 Sumi, Naoya 3 van Strien, Sebastian J. 3 Wang, Chenwei 3 Yang, Jiazhong 2 Afraimovich, Valentin S. 2 Agarwal, Ravi P. 2 Alves, Alexandre Miranda 2 Arbieto, Alexander 2 Bahsoun, Wael 2 Banaji, Murad 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 Buzzi, Claudio Aguinaldo 2 Carlsen, Toke Meier 2 Cendra, Hernán 2 Chattopadhyay, Joydev 2 Cheban, David Nikolai 2 Coleman, Michael J. 2 Collins, Peter J. 2 Da Silva, Fabiano Borges 2 Deane, Jonathan H. B. 2 Dellnitz, Michael 2 Denker, Manfred 2 Dias, Ana Paula S. 2 Díaz, Lorenzo Justiniano 2 Dragičević, Davor 2 Eilers, Søren 2 Esteves, Salete 2 Fakhari, Abbas 2 Fernandez, Bastien 2 Ferragut, Antoni 2 Feudel, Ulrike ...and 835 more Authors
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### Fields

 530 Dynamical systems and ergodic theory (37-XX) 153 Ordinary differential equations (34-XX) 43 Partial differential equations (35-XX) 40 Measure and integration (28-XX) 38 Biology and other natural sciences (92-XX) 36 Mechanics of particles and systems (70-XX) 31 Probability theory and stochastic processes (60-XX) 23 General topology (54-XX) 21 Systems theory; control (93-XX) 17 Operator theory (47-XX) 14 Number theory (11-XX) 14 Numerical analysis (65-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Difference and functional equations (39-XX) 8 Functions of a complex variable (30-XX) 8 Functional analysis (46-XX) 7 Fluid mechanics (76-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Topological groups, Lie groups (22-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 Group theory and generalizations (20-XX) 5 Differential geometry (53-XX) 5 Mechanics of deformable solids (74-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Manifolds and cell complexes (57-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 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)

### Citations contained in zbMATH Open

440 Publications have been cited 2,433 times in 2,105 Documents Cited by Year
A class of piecewise linear differential equations arising in biological models. Zbl 1054.34013
Gouzé, Jean-Luc; Sari, Tewfik
2002
On the structure of attractors and invariant measures for a class of monotone random systems. Zbl 1061.37032
Chueshov, Igor; Scheutzow, Michael
2004
Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082
Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A.
2001
The irregular set for maps with the specification property has full topological pressure. Zbl 1186.37034
Thompson, Daniel
2010
Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
2009
Exponential stability analysis of travelling waves solutions for nonlinear delayed cellular neural networks. Zbl 1382.34077
Guo, Yingxin
2017
High-order expansions of invariant manifolds of libration point orbits with applications to mission design. Zbl 1093.70012
Masdemont, J. J.
2005
Combinatorial dynamics. Zbl 1058.37008
Field, Michael
2004
Permanence criteria in non-autonomous predator-prey Kolmogorov systems and its applications. Zbl 1066.34048
Teng, Zhidong; Li, Zhiming; Jiang, Haijun
2004
Rare events, exponential hitting times and extremal indices via spectral perturbation. Zbl 1263.37040
Keller, Gerhard
2012
On the existence of pullback attractors for non-autonomous reaction-diffusion equations. Zbl 1145.35047
Wang, Yonghai; Zhong, Chengkui
2008
Entry and return times distribution. Zbl 1295.37003
Haydn, N. T. A.
2013
Oscillations, $$\text{SE}(2)$$-snakes and motion control: a study of the roller racer. Zbl 1127.70316
Krishnaprasad, P. S.; Tsakiris, Dimitris P.
2001
New aspects in the unfolding of the nilpotent singularity of codimension three. Zbl 0993.37026
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi
2001
A strange attractor in the unfolding of an orbit-flip homoclinic orbit. Zbl 1184.37029
Naudot, Vincent
2002
Shadowing for actions of some finitely generated groups. Zbl 1350.37030
Osipov, Alexey V.; Tikhomirov, Sergey B.
2014
Discontinuity geometry for an impact oscillator. Zbl 1048.34025
Chillingworth, D. R. J.
2002
Morales, C. A.
2016
Switching near a network of rotating nodes. Zbl 1186.37060
Aguiar, Manuela A. D.; Labouriau, Isabel S.; Rodrigues, Alexandre A. P.
2010
Almost periodic solutions for impulsive fractional differential equations. Zbl 1320.34012
Stamov, Gani Tr.; Stamova, Ivanka M.
2014
Lyapunov function construction for ordinary differential equations with linear programming. Zbl 1013.34051
Marinósson, Sigurđur F.
2002
A note on Gevrey regular KAM theory and the inverse approximation lemma. Zbl 1036.37022
Wagener, Florian
2003
Nonautonomous attractors of switching systems. Zbl 1136.37313
Kloeden, P. E.
2006
Stability properties of divergence-free vector fields. Zbl 1259.37019
Ferreira, Célia
2012
Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066
Golubitsky, M.; Pivato, M.; Stewart, I.
2004
Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise. Zbl 1415.37100
Lan, Yun; Shu, Ji
2019
Permanence and stability in non-autonomous logistic systems with infinite delay. Zbl 1035.34086
Teng, Zhidong
2002
Tangencies in invariant disc packings for certain planar piecewise isometries are rare. Zbl 1032.37026
Ashwin, Peter; Fu, Xin-Chu
2001
Invariant scrambled sets and distributional chaos. Zbl 1171.37022
Oprocha, Piotr
2009
Small noise limit for diffusions near heteroclinic networks. Zbl 1281.34105
Bakhtin, Yuri
2010
Pullback attractors in $$H^1(\mathbb R^N)$$ for non-autonomous nonclassical diffusion equations. Zbl 1284.35084
Zhang, Fanghong; Liu, Yongfeng
2014
Age-structured predator-prey model with habitat complexity: oscillations and control. Zbl 1278.92037
Bairagi, N.; Jana, D.
2012
Finite-dimensional limiting dynamics of random dynamical systems. Zbl 1038.37041
Langa, J. A.
2003
Closed trajectories in planar relay feedback systems. Zbl 1046.34024
Giannakopoulos, Fotios; Pliete, Karin
2002
The concept of bounded mean motion for toral homeomorphisms. Zbl 1190.37047
Jäger, T.
2009
Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069
Sandstede, Björn; Scheel, Arnd
2001
Kawaguchi, Noriaki
2017
Asymptotic regularity for the nonclassical diffusion equation with lower regular forcing term. Zbl 1229.35218
Wu, Hongqing; Zhang, Zhuanye
2011
Flows with the (asymptotic) average shadowing property on three-dimensional closed manifolds. Zbl 1244.37018
Arbieto, A.; Ribeiro, R.
2011
Multiple positive solutions of integral BVPs for high-order nonlinear fractional differential equations with impulses and distributed delays. Zbl 1321.34105
Zhao, Kaihong
2015
Dynamical properties and synchronization of complex non-linear equations for detuned lasers. Zbl 1172.34033
Mahmoud, Gamal M.; Bountis, T.; Al-Kashif, M. A.; Aly, Shaban A.
2009
Stability in simple heteroclinic networks in $$\mathbb{R}^4$$. Zbl 1404.34053
Castro, Sofia B. S. D.; Lohse, Alexander
2014
Some formulas for Lyapunov exponents and rotation numbers in two dimensions and the stability of the harmonic oscillator and the inverted pendulum. Zbl 1115.37329
Imkeller, Peter; Lederer, Christian
2001
Dynamics of surface diffeomorphisms relative to homoclinic and heteroclinic orbits. Zbl 1042.37030
Collins, Pieter
2004
Stability for impulsive control systems. Zbl 1025.37049
Pereira, Fernando L.; Silva, Geraldo N.
2002
Rotation numbers for quasi-periodically forced monotone circle maps. Zbl 1047.37025
Stark, J.; Feudel, U.; Glendinning, P. A.; Pikovsky, A.
2002
Reduction of deterministic coupled atmosphere-ocean models to stochastic ocean models: a numerical case study of the Lorenz-Maas system. Zbl 1071.76045
Arnold, Ludwig; Imkeller, Peter; Wu, Yonghui
2003
Transitive sets for quasi-periodically forced monotone maps. Zbl 1057.37043
Stark, J.
2003
Singular Lagrangian systems and variational constrained mechanics on Lie algebroids. Zbl 1229.37045
Iglesias, D.; Marrero, J. C.; Martín de Diego, D.; Sosa, D.
2008
Some results on the entropy of non-autonomous dynamical systems. Zbl 1370.37032
Kawan, Christoph; Latushkin, Yuri
2016
Extremal behaviour of chaotic dynamics. Zbl 1328.37003
Freitas, Jorge Milhazes
2013
Lorenz attractors in unfoldings of homoclinic-flip bifurcations. Zbl 1268.37023
Golmakani, A.; Homburg, A. J.
2011
Measure attractors and Markov attractors. Zbl 1153.37391
Crauel, H.
2008
A constructive converse Lyapunov theorem on asymptotic stability for nonlinear autonomous ordinary differential equations. Zbl 1102.34038
Hafstein, S. F.
2005
Nonholonomic Euler-Poincaré equations and stability in Chaplygin’s sphere. Zbl 1036.70009
Schneider, David
2002
Extending Melnikov theory to invariant manifolds on non-compact domains. Zbl 1032.34041
Wechselberger, Martin
2002
The invariant manifold structure of the spatial Hill’s problem. Zbl 1062.70026
Gómez, G.; Marcote, M.; Mondelo, J. M.
2005
Examples of singular-hyperbolic attracting sets. Zbl 1153.37016
Morales, C. A.
2007
Delay induced canards in a model of high speed machining. Zbl 1185.37135
Campbell, Sue Ann; Stone, Emily; Erneux, Thomas
2009
Synchronization hypothesis in the Winfree model. Zbl 1379.37141
Oukil, W.; Kessi, A.; Thieullen, Ph.
2017
On stochastic stability of expanding circle maps with neutral fixed points. Zbl 1287.37028
Shen, Weixiao; van Strien, Sebastian
2013
Anholonomic frames in constrained dynamics. Zbl 1200.37056
Crampin, M.; Mestdag, T.
2010
Chaotic double cycling. Zbl 1219.37020
Rodrigues, Alexandre A. P.; Labouriau, Isabel S.; Aguiar, Manuela A. D.
2011
Extending the permissible control loop latency for the controlled inverted pendulum. Zbl 1079.34060
Sieber, J.; Krauskopf, B.
2005
Qualitative features of matrix pencils and DAEs arising in circuit dynamics. Zbl 1125.37060
Riaza, Ricardo; Tischendorf, Caren
2007
Global attractors of pinched skew products. Zbl 1024.37017
Glendinning, Paul
2002
Periodicity in a class of non-autonomous scalar equations with deviating arguments and applications to population models. Zbl 1062.34073
Fan, Meng; Ye, Dan; Wong, Patricia J. Y.; Agarwal, Ravi P.
2004
Entropy-minimizing models of surface diffeomorphisms relative to homoclinic and heteroclinic orbits. Zbl 1122.37032
Collins, Pieter
2005
Global existence and non-existence for a quasilinear degenerate parabolic system with nonlocal source. Zbl 1085.35080
Du, Lili; Mu, Chunlai; Fan, Mingshu
2005
Monotonicity in chemical reaction systems. Zbl 1172.80004
2009
Bifurcation of limit cycles from a centre in $$\mathbb R^{4}$$ in resonance $$1:N$$. Zbl 1167.37027
Buzzi, Claudio A.; Llibre, Jaume; Medrado, João C.; Torregrosa, Joan
2009
A mechanism for switching near a heteroclinic network. Zbl 1204.37023
Kirk, Vivien; Lane, Emily; Postlethwaite, Claire M.; Rucklidge, Alastair M.; Silber, Mary
2010
Flow equivalence and isotopy for subshifts. Zbl 1381.37020
Boyle, Mike; Carlsen, Toke Meier; Eilers, Søren
2017
Some properties of topological pressure of a semigroup of continuous maps. Zbl 1315.37010
Ma, Dongkui; Liu, Shaohua
2014
Generalized Hopf bifurcation in a class of planar switched systems. Zbl 1252.37041
Huan, Song-Mei; Yang, Xiao-Song
2011
Livsic theorems, maximizing measures and the stable norm. Zbl 1057.37023
Pollicott, Mark; Sharp, Richard
2004
Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010
Stewart, Ian; Parker, Martyn
2008
Exploiting discontinuities for stabilization of recurrent motions. Zbl 1063.93040
Dankowicz, Harry; Piiroinen, Petri T.
2002
Global attraction in the sigma-delta modulator piecewise isometry. Zbl 1022.37026
Deane, J. H. B.
2002
Sticky orbits in a kicked-oscillator model. Zbl 1098.37066
Lowenstein, J. H.; Poggiaspalla, G.; Vivaldi, F.
2005
Ergodic optimization for noncompact dynamical systems. Zbl 1170.28303
Jenkinson, O.; Mauldin, R. D.; Urbański, M.
2007
Switching homoclinic networks. Zbl 1204.37028
Homburg, Ale Jan; Knobloch, Jürgen
2010
Mixed-mode oscillations in a three time-scale system of ODEs motivated by a neuronal model. Zbl 1204.37085
Jalics, Jozsi; Krupa, Martin; Rotstein, Horacio G.
2010
Specification and partial hyperbolicity for flows. Zbl 1357.37049
Sumi, Naoya; Varandas, Paulo; Yamamoto, Kenichiro
2015
Some properties on topological entropy of free semigroup action. Zbl 1384.37023
Tang, Jingru; Li, Bing; Cheng, Wen-Chiao
2018
Selection of measure and a large deviation principle for the general one-dimensional $$XY$$ model. Zbl 1308.37001
Lopes, A. O.; Mengue, J. K.
2014
A codimension-two resonant bifurcation from a heteroclinic cycle with complex eigenvalues. Zbl 1132.34033
Postlethwaite, Claire M.; Dawes, Jonathan H. P.
2006
Semigroups of matrices with dense orbits. Zbl 1244.47036
2011
Fixed point global attractors and repellors in competitive Lotka-Volterra systems. Zbl 1247.34101
Hou, Zhanyuan; Baigent, Stephen
2011
Characterization of hyperbolicity and generalized shadowing lemma. Zbl 1246.37050
Dragičević, Davor; Slijepčević, Siniša
2011
Conformal iterated function systems with overlaps. Zbl 1217.28006
Deng, Qi-Rong; Ngai, Sze-Man
2011
Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312
Stewart, Ian; Parker, Martyn
2007
Functions for relative maximization. Zbl 1162.37300
Garibaldi, E.; Lopes, A. O.
2007
Lyapunov exponents for systems with unbounded coefficients. Zbl 1270.93102
2013
The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit. Zbl 1161.37038
Kirk, Vivien; Rucklidge, Alastair M.
2008
Density of metric entropies for linear toral automorphisms. Zbl 1244.37007
Sun, Peng
2012
Snakes and isolas in non-reversible conservative systems. Zbl 1254.35121
Sandstede, Björn; Xu, Yancong
2012
Stability of impulsive delay differential equations with impulses at variable times. Zbl 1088.34069
Zhang, Yu; Sun, Jitao
2005
Nonlinear models of chatter in drilling processes. Zbl 1095.70011
2002
Dimension of measures for suspension flows. Zbl 1066.37014
Barreira, L.; Radu, L.; Wolf, C.
2004
Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems. Zbl 07535724
Barrientos, Pablo G.; Nakano, Yushi; Raibekas, Artem; Roldan, Mario
2022
$$C^0$$-stability for actions implies shadowing property. Zbl 1477.37028
Iglesias, Jorge; Portela, Aldo
2021
A type of shadowing and distributional chaos. Zbl 1490.74054
Kawaguchi, Noriaki
2021
One-sided topological conjugacy of normal subshifts and gauge actions on the associated $$C^{\ast}$$-algebras. Zbl 1484.37011
Matsumoto, Kengo
2021
Geometric limit of Julia set of a family of rational functions with odd degree. Zbl 1485.37046
Alves, A. M.; Silva e Silva, B. P.; Salarinoghabi, M.
2021
Mathematical modeling and nonstandard finite difference scheme analysis for the environmental and spillover transmissions of Avian influenza A model. Zbl 1472.37087
Feukouo Fossi, A.; Lubuma, J.; Tadmon, C.; Tsanou, B.
2021
Weak rigidity of entropy spectra. Zbl 1472.37006
Nakagawa, Katsukuni
2021
Asymptotic properties of a stochastic SIRS epidemic model with nonlinear incidence and varying population sizes. Zbl 1455.92139
2020
Gibbs states and Gibbsian specifications on the space $$\mathbb{R}^\mathbb{N}$$. Zbl 1447.37046
Lopes, Artur O.; Vargas, Victor
2020
A groupoid approach to $$C^*$$-algebras associated with $$\lambda$$-graph systems and continuous orbit equivalence of subshifts. Zbl 1476.46069
Matsumoto, Kengo
2020
Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. Zbl 1479.34057
Cardoso, João L.; Llibre, Jaume; Novaes, Douglas D.; Tonon, Durval J.
2020
Leafwise shadowing property for partially hyperbolic diffeomorphisms. Zbl 1450.37022
Castro, A.; Rodrigues, F.; Varandas, P.
2020
Good, Chris; Mitchell, Joel; Thomas, Joe
2020
Minimality of 5-adic polynomial dynamics. Zbl 1467.37096
Kim, Donggyun; Kwon, Youngwoo; Song, Kyunghwan
2020
Equicontinuity and Li-Yorke pairs of dendrite maps. Zbl 1468.37010
2020
Shadowing property for the free group acting in the circle. Zbl 1439.37022
Iglesias, Jorge; Portela, Aldo
2020
Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type. Zbl 1451.60036
Kesseböhmer, Marc; Schindler, Tanja I.
2020
Weighted upper metric mean dimension for amenable group actions. Zbl 1471.37030
Tang, Dingxuan; Wu, Haiyan; Li, Zhiming
2020
Dimensions in infinite iterated function systems consisting of bi-Lipschitz mappings. Zbl 1469.28004
Chu, Chih-Yung; Ngai, Sze-Man
2020
Orbit growth of Dyck and Motzkin shifts via Artin-Mazur zeta function. Zbl 1468.37023
Nordin, Azmeer; Md Noorani, Mohd Salmi; Che Dzul-Kifli, Syahida
2020
Invariant multi-graphs in step skew-products. Zbl 1441.37047
Gelfert, Katrin; Oliveira, Daniel
2020
Characterization of uniform hyperbolicity for fibre-bunched cocycles. Zbl 1439.37037
Velozo Ruiz, Renato
2020
Global attractors for semigroup actions on uniformizable spaces. Zbl 1439.37015
Souza, Josiney A.; Alves, Richard W. M.
2020
Suspensions of homeomorphisms with the two-sided limit shadowing property. Zbl 1448.37020
Aponte, Jesús; Carvalho, Bernardo; Cordeiro, Welington
2020
Equivalent notions of hyperbolicity. Zbl 1455.37030
Barreira, Luis; Valls, Claudia
2020
Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise. Zbl 1415.37100
Lan, Yun; Shu, Ji
2019
Exponential ergodicity of some Markov dynamical systems with application to a Poisson-driven stochastic differential equation. Zbl 1411.37006
Czapla, Dawid; Kubieniec, Joanna
2019
Invariant cone and synchronization state stability of the mean field models. Zbl 1421.37016
Oukil, Walid; Thieullen, P.; Kessi, A.
2019
Explicit bounds for separation between Oseledets subspaces. Zbl 1417.47006
Quas, Anthony; Thieullen, Philippe; Zarrabi, Mohamed
2019
Duck traps: two-dimensional critical manifolds in planar systems. Zbl 1440.34060
Kuehn, Christian; Münch, Christian
2019
Geometric limits of Julia sets and connectedness locus of the family of polynomials $$P_c(z) = z^n + cz ^k$$. Zbl 1456.37046
Alves, Alexandre Miranda
2019
Stability of quasi-simple heteroclinic cycles. Zbl 1411.34060
Garrido-da-Silva, L.; Castro, S. B. S. D.
2019
Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set. Zbl 1411.37014
Bernardi, Olga; Florio, Anna
2019
An avian influenza model with latency and vaccination. Zbl 1415.37110
Modnak, Chairat; Wang, Jin
2019
Centre manifolds for infinite dimensional random dynamical systems. Zbl 1415.37098
Chen, Xiaopeng; Roberts, Anthony J.; Duan, Jinqiao
2019
Geometric method for global stability and repulsion in Kolmogorov systems. Zbl 1418.37046
Hou, Zhanyuan
2019
Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection. Zbl 1411.34079
Podvigina, Olga; Castro, Sofia B. S. D.; Labouriau, Isabel S.
2019
Measure-theoretic pressure and topological pressure in mean metrics. Zbl 1415.37040
Huang, Ping; Wang, Chenwei
2019
Chaos near a reversible homoclinic bifocus. Zbl 1418.37040
Barrientos, Pablo G.; Raibekas, Artem; Rodrigues, Alexandre A. P.
2019
Recurrence determinism and Li-Yorke chaos for interval maps. Zbl 1411.37042
2019
State splitting, strong shift equivalence and stable isomorphism of Cuntz-Krieger algebras. Zbl 1428.46042
Matsumoto, Kengo
2019
A special class of infinite measure-preserving quadratic rational maps. Zbl 1420.37027
Bayless-Rossetti, Rachel; Hawkins, Jane
2019
Independence and Alpern multitowers. Zbl 1419.37004
Campbell, James T.; McCutcheon, Randall; Windsor, Alistair
2019
Structural stability and a characterization of Anosov families. Zbl 1466.37027
Muentes Acevedo, Jeovanny de Jesus
2019
Coherent measures and the unstable manifold of isolated unstable attractors. Zbl 1428.37022
Athanassopoulos, Konstantin
2019
The asymptotically additive topological pressure: variational principle for non-compact and intersection of irregular sets. Zbl 1435.37031
Ferreira, G.
2019
Some properties on topological entropy of free semigroup action. Zbl 1384.37023
Tang, Jingru; Li, Bing; Cheng, Wen-Chiao
2018
Several sufficient conditions for a map and a semi-flow to be ergodically sensitive. Zbl 1387.37005
Li, Risong
2018
On the approximation of the canard explosion point in singularly perturbed systems without an explicit small parameter. Zbl 1384.37061
Brøns, M.; Kristiansen, K. Uldall
2018
A note on circle maps driven by strongly expanding endomorphisms on $$\mathbb T$$. Zbl 1393.37054
Bjerklöv, Kristian
2018
Phase portraits of Abel quadratic differential systems of the second kind. Zbl 1402.34014
Ferragut, Antoni; Valls, Claudia
2018
Expansive transitive sets for robust and generic diffeomorphisms. Zbl 1393.37034
Lee, Manseob; Park, Junmi
2018
Rank 2 proximal Cantor systems are residually scrambled. Zbl 1387.37014
Shimomura, Takashi
2018
Microbial metabolism and growth under conditions of starvation modelled as the sliding mode of a differential inclusion. Zbl 1386.34092
Nev, O. A.; van den Berg, H. A.
2018
Dirac physical measures for generic diffeomorphisms. Zbl 1393.37021
Santiago, Bruno
2018
On the reducibility of a nonlinear periodic system with degenerate equilibrium. Zbl 1400.37071
Liang, Jianli; Tang, Longkun
2018
Bounded topological speedups. Zbl 1393.37009
Alvin, Lori; Ash, Drew D.; Ormes, Nicholas S.
2018
Criteria on existence of horseshoes near homoclinic tangencies of arbitrary orders. Zbl 1397.37021
Gonchenko, Sergey; Li, Ming-Chia; Malkin, Mikhail
2018
Sub-additive topological pressure of proper maps. Zbl 1442.37030
Li, Zhiming; Ding, Zhihui; Yang, Yu
2018
Periodic approximation of Oseledets subspaces for semi-invertible cocycles. Zbl 1397.37057
Backes, Lucas
2018
Topological classification of global magnetic fields in the solar corona. Zbl 1396.37090
Grines, V. Z.; Pochinka, Olga V.
2018
Growth of number of periodic orbits of one family of skew product maps. Zbl 1409.37031
Esteves, Salete
2018
Saddle-node equilibrium points on the stability boundary of nonlinear autonomous dynamical systems. Zbl 1395.37031
Amaral, Fabíolo Moraes; Alberto, Luís Fernando; Gouveia, Josaphat R. R. Jr.
2018
Projections of patterns and mode interactions. Zbl 1402.37062
Castro, Sofia B. S. D.; Labouriau, Isabel S.; Oliveira, Juliane F.
2018
Julia sets for Fibonacci endomorphisms of $$\mathbb R^2$$. Zbl 1402.37058
Bonnot, S.; de Carvalho, A.; Messaoudi, A.
2018
The wild Fox-Artin arc in invariant sets of dynamical systems. Zbl 1402.37029
Medvedev, T. V.; Pochinka, O. V.
2018
Levitan/Bohr almost periodic and almost automorphic solutions of scalar differential equations. Zbl 1402.37010
Cheban, David
2018
Uniform hyperbolicity revisited: index of periodic points and equidimensional cycles. Zbl 1402.37038
Bessa, Mário; Rocha, Jorge; Varandas, Paulo
2018
On two notions of exponential dichotomy. Zbl 1404.37025
Barreira, Luis; Valls, Claudia
2018
Exponential stability analysis of travelling waves solutions for nonlinear delayed cellular neural networks. Zbl 1382.34077
Guo, Yingxin
2017
Kawaguchi, Noriaki
2017
Synchronization hypothesis in the Winfree model. Zbl 1379.37141
Oukil, W.; Kessi, A.; Thieullen, Ph.
2017
Flow equivalence and isotopy for subshifts. Zbl 1381.37020
Boyle, Mike; Carlsen, Toke Meier; Eilers, Søren
2017
Orders that yield homeomorphisms on Bratteli diagrams. Zbl 1430.37010
Bezuglyi, Sergey; Yassawi, Reem
2017
Projection blocks in homogeneous coupled cell networks. Zbl 1362.37101
Nijholt, Eddie; Rink, Bob; Sanders, Jan
2017
Inverse shadowing in group actions. Zbl 1378.37051
Pilyugin, Sergei Yu.
2017
Coordinate changes for network dynamics. Zbl 1362.37051
Golubitsky, Martin; Stewart, Ian
2017
Chaos in the Takens-Bogdanov bifurcation with $$\mathrm{O}(2)$$ symmetry. Zbl 1457.37069
Rucklidge, A. M.; Knobloch, E.
2017
Periodic orbits of oval billiards on surfaces of constant curvature. Zbl 1372.37085
Coutinho dos Santos, Luciano; Pinto-de-Carvalho, Sônia
2017
Normal forms and global phase portraits of quadratic and cubic integrable vector fields having two nonconcentric circles as invariant algebraic curves. Zbl 1386.34057
Llibre, Jaume; Messias, Marcelo; Reinol, Alisson C.
2017
Integrability conditions for complex Kukles systems. Zbl 1383.34051
Giné, Jaume; Valls, Claudia
2017
On the existence of global attractors in principal bundles. Zbl 1387.37019
Souza, Josiney A.
2017
Notes on multiple periodic solutions for second-order discrete Hamiltonian system. Zbl 1390.39023
Ding, Liang; Wei, Jinlong
2017
Heteroclinic network dynamics on joining coupled cell networks. Zbl 1362.37057
Aguiar, Manuela A. D.; Dias, Ana Paula S.
2017
Topology and bifurcations in Hamiltonian coupled cell systems. Zbl 1362.37067
Chan, B. S.; Buono, P. L.; Palacios, A.
2017
Sensing and control in symmetric networks. Zbl 1359.93047
Dellnitz, Michael; Klus, Stefan
2017
The spatial Hill lunar problem: periodic solutions emerging from equilibria. Zbl 1382.37090
De Bustos, M. T.; Guirao, J. L. G.; Vera, J. A.
2017
Usc/fibred entropy structure and applications. Zbl 1379.37009
Burguet, David
2017
$$C^1$$-genericity of symplectic diffeomorphisms and lower bounds for topological entropy. Zbl 1377.37080
Catalan, Thiago; Horita, Vanderlei
2017
Strict doubly ergodic infinite transformations. Zbl 1380.37015
Loh, Isaac; Silva, Cesar E.
2017
Equivariant bifurcations in four-dimensional fixed point spaces. Zbl 1362.37103
Lauterbach, Reiner; Schwenker, Sören Niklas
2017
Morales, C. A.
2016
Some results on the entropy of non-autonomous dynamical systems. Zbl 1370.37032
Kawan, Christoph; Latushkin, Yuri
2016
Tempered exponential dichotomies: admissibility and stability under perturbations. Zbl 1370.37106
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
On the asymptotic properties of piecewise contracting maps. Zbl 1365.37018
Catsigeras, E.; Guiraud, P.; Meyroneinc, A.; Ugalde, E.
2016
Birth of limit cycles for a class of continuous and discontinuous differential systems in $$(d+2)$$-dimension. Zbl 1374.34035
Llibre, Jaume; Teixeira, Marco A.; Zeli, Iris O.
2016
Renormalization of one-parameter families of piecewise isometries. Zbl 1418.37074
Lowenstein, J. H.; Vivaldi, F.
2016
Canard solutions in planar piecewise linear systems with three zones. Zbl 1342.34077
Fernández-García, S.; Desroches, M.; Krupa, M.; Teruel, A. E.
2016
Local and global stability indices for a riddled basin attractor of a piecewise linear map. Zbl 1370.37057
Roslan, Ummu Atiqah Mohd; Ashwin, Peter
2016
Robust cycles unfolding from conservative bifocal homoclinic orbits. Zbl 1380.37044
Barrientos, Pablo G.; Ibáñez, Santiago; Rodríguez, J. Ángel
2016
...and 340 more Documents
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### Cited by 2,649 Authors

 27 Wang, Bixiang 26 Lee, Manseob 24 Ashwin, Peter 24 Llibre, Jaume 23 Teng, Zhi-dong 19 Rodrigues, Alexandre A. P. 17 Morales, Carlos Arnoldo 16 Aguiar, Manuela A. D. 16 Hafstein, Sigurður Freyr 16 Oertel-Jäger, Tobias Hendrik 16 Valls Anglés, Cláudia 14 Dias, Ana Paula S. 14 Kloeden, Peter Eris 14 Stewart, Ian Nicholas 14 Varandas, Paulo 13 Bakhtin, Yuri Yu. 13 Vaienti, Sandro 12 Dragičević, Davor 12 Freitas, Jorge Milhazes 12 Fu, Xinchu 12 Rodríguez-Luis, Alejandro J. 11 Algaba, Antonio 11 Barreira, Luis Manuel 11 Bessa, Mário 11 Caraballo Garrido, Tomás 11 Shu, Ji 11 Zhao, Kaihong 10 Gelfert, Katrin Grit 10 Giesl, Peter 10 Labouriau, Isabel S. 10 Langa, Jose’ Antonio 10 Lee, Keonhee 10 Lopes, Artur Oscar 10 Mesón, Alejandro M. 10 Vericat, Fernando 9 Chen, Guanrong 9 Freitas, Ana Cristina Moreira 9 Liu, Xingbo 9 Ma, Dongkui 9 Todd, Mike 9 Xu, Junxiang 9 Yang, Xiaosong 8 Bloch, Anthony Michael 8 Castro, Sofia B. S. D. 8 Colombo, Leonardo Jesus 8 Edwards, Roderick 8 Ha, Seung-Yeal 8 Iommi, Godofredo 8 Li, Risong 8 Lohse, Alexander 8 Martín de Diego, David 8 Naudot, Vincent 8 Nicol, Matthew 8 Osinga, Hinke Maria 8 Piiroinen, Petri T. 8 Sandstede, Björn 8 Tachim Medjo, Theodore 8 Tian, Xueting 8 Wang, Lidong 8 Zhang, Jian 8 Zhou, Shengfan 7 Araújo, Vítor 7 Banaji, Murad 7 Broer, Henk W. 7 Chen, Fengde 7 Demers, Mark F. 7 Díaz, Lorenzo Justiniano 7 Golubitsky, Martin A. 7 Haydn, Nicolai T. A. 7 Huan, Songmei 7 Ibáñez, Santiago 7 Krauskopf, Bernd 7 Lowenstein, John H. 7 Mamaev, Ivan Sergeevich 7 Mitchell, Kevin A. 7 Niezabitowski, Michał 7 Podvigina, Ol’ga Mikhaĭlovna 7 Postlethwaite, Claire M. 7 Scheutzow, Michael K. R. 7 Urbański, Mariusz 7 Volpert, Vitaly A. 7 Yan, Zuomao 7 Zhang, Dongfeng 7 Zhao, Yun 7 Zhou, Xiaoyao 6 Balasuriya, Sanjeeva 6 Bizyaev, Ivan Alekseevich 6 Borisov, Alekseĭ Vladimirovich 6 Chen, Ercai 6 Crauel, Hans 6 Czapla, Dawid 6 Czornik, Adam 6 Duan, Jinqiao 6 Faranda, Davide 6 Gouzé, Jean-Luc 6 Gu, Anhui 6 Han, Bang-Sheng 6 Han, Maoan 6 Hanßmann, Heinz 6 Horbacz, Katarzyna ...and 2,549 more Authors
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### Cited in 340 Journals

 116 Dynamical Systems 99 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 75 Journal of Differential Equations 72 Journal of Mathematical Analysis and Applications 70 Physica D 63 Ergodic Theory and Dynamical Systems 63 Discrete and Continuous Dynamical Systems 46 Chaos 43 Nonlinearity 40 Nonlinear Dynamics 39 Chaos, Solitons and Fractals 36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Journal of Nonlinear Science 35 SIAM Journal on Applied Dynamical Systems 32 Discrete and Continuous Dynamical Systems. Series B 32 Stochastics and Dynamics 29 Qualitative Theory of Dynamical Systems 28 Journal of Dynamics and Differential Equations 27 Advances in Difference Equations 26 Applied Mathematics and Computation 26 Celestial Mechanics and Dynamical Astronomy 25 Transactions of the American Mathematical Society 23 Journal of Difference Equations and Applications 22 Communications in Mathematical Physics 21 Proceedings of the American Mathematical Society 20 Journal of Statistical Physics 20 Regular and Chaotic Dynamics 20 Communications in Nonlinear Science and Numerical Simulation 17 Nonlinear Analysis. Real World Applications 15 Advances in Mathematics 15 Bulletin of the Brazilian Mathematical Society. New Series 14 Applied Mathematics Letters 14 Acta Mathematica Sinica. English Series 13 Journal of Mathematical Biology 12 Journal of Mathematical Physics 12 Mathematische Zeitschrift 12 Topology and its Applications 12 Abstract and Applied Analysis 11 Bulletin of Mathematical Biology 11 Monatshefte für Mathematik 10 Applicable Analysis 10 Israel Journal of Mathematics 10 Mathematical Problems in Engineering 10 Journal of Theoretical Biology 9 Journal of Computational and Applied Mathematics 9 Journal of the Korean Mathematical Society 9 Communications on Pure and Applied Analysis 9 Boundary Value Problems 8 Journal of Geometry and Physics 8 Applied Mathematical Modelling 8 Stochastic Processes and their Applications 8 Journal of Dynamical and Control Systems 8 Journal of Geometric Mechanics 7 Journal of the Franklin Institute 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Journal of Mathematical Chemistry 7 Differential Equations and Dynamical Systems 7 Journal of Dynamical Systems and Geometric Theories 6 Computers & Mathematics with Applications 6 Annales de l’Institut Fourier 6 Automatica 6 Mathematics and Computers in Simulation 6 Systems & Control Letters 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Modern Dynamics 6 Nonlinear Analysis. Hybrid Systems 6 Open Mathematics 5 Mathematical Biosciences 5 Quarterly of Applied Mathematics 5 Results in Mathematics 5 Chinese Annals of Mathematics. Series B 5 Acta Applicandae Mathematicae 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Applied Mathematics 5 Experimental Mathematics 5 Complexity 5 Discrete Dynamics in Nature and Society 5 International Journal of Geometric Methods in Modern Physics 5 Mediterranean Journal of Mathematics 5 Mathematical Biosciences and Engineering 5 Mathematical Modelling of Natural Phenomena 5 International Journal of Biomathematics 5 The Journal of Mathematical Neuroscience 4 Archive for Rational Mechanics and Analysis 4 International Journal of Control 4 Mathematical Methods in the Applied Sciences 4 Physica A 4 Reviews in Mathematical Physics 4 Applied Mathematics and Optimization 4 Inventiones Mathematicae 4 Stochastic Analysis and Applications 4 Asymptotic Analysis 4 The Annals of Applied Probability 4 Topological Methods in Nonlinear Analysis 4 Journal of Mathematical Sciences (New York) 4 Mathematical Physics, Analysis and Geometry 4 Taiwanese Journal of Mathematics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Journal of Biological Systems 4 Annales Henri Poincaré ...and 240 more Journals
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### Cited in 57 Fields

 1,273 Dynamical systems and ergodic theory (37-XX) 576 Ordinary differential equations (34-XX) 283 Biology and other natural sciences (92-XX) 263 Partial differential equations (35-XX) 233 Mechanics of particles and systems (70-XX) 202 Probability theory and stochastic processes (60-XX) 151 Systems theory; control (93-XX) 93 Measure and integration (28-XX) 67 General topology (54-XX) 63 Numerical analysis (65-XX) 45 Operator theory (47-XX) 37 Fluid mechanics (76-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 32 Difference and functional equations (39-XX) 32 Differential geometry (53-XX) 31 Combinatorics (05-XX) 30 Number theory (11-XX) 29 Statistical mechanics, structure of matter (82-XX) 27 Computer science (68-XX) 26 Information and communication theory, circuits (94-XX) 25 Mechanics of deformable solids (74-XX) 22 Group theory and generalizations (20-XX) 22 Global analysis, analysis on manifolds (58-XX) 21 Real functions (26-XX) 20 Operations research, mathematical programming (90-XX) 18 Topological groups, Lie groups (22-XX) 18 Integral equations (45-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Manifolds and cell complexes (57-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Functional analysis (46-XX) 11 Geophysics (86-XX) 10 Statistics (62-XX) 9 Algebraic geometry (14-XX) 9 Functions of a complex variable (30-XX) 8 Algebraic topology (55-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Quantum theory (81-XX) 6 Convex and discrete geometry (52-XX) 5 Abstract harmonic analysis (43-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Astronomy and astrophysics (85-XX) 4 Associative rings and algebras (16-XX) 4 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Relativity and gravitational theory (83-XX)