# zbMATH — the first resource for mathematics

## 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: 619 Publications (since 2001) References Indexed: 569 Publications with 12,281 References.
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#### Latest Issues

 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)
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#### Authors

 14 Llibre, Jaume 14 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 Sakai, Kazuhiro 4 Teixeira, Marco Antonio 4 Teng, Zhi-dong 4 Urbański, Mariusz 4 Varandas, Paulo 3 Aguiar, Manuela A. D. 3 Araújo, Vítor 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 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 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 Barrientos, Pablo G. 2 Bessa, Mário 2 Blé, Gamaliel 2 Bloch, Anthony M. 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 2 Field, Michael J. ...and 801 more Authors
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#### Fields

 510 Dynamical systems and ergodic theory (37-XX) 150 Ordinary differential equations (34-XX) 39 Measure and integration (28-XX) 37 Partial differential equations (35-XX) 36 Mechanics of particles and systems (70-XX) 36 Biology and other natural sciences (92-XX) 31 Probability theory and stochastic processes (60-XX) 23 General topology (54-XX) 21 Systems theory; control (93-XX) 14 Operator theory (47-XX) 13 Number theory (11-XX) 13 Numerical analysis (65-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Difference and functional equations (39-XX) 8 Functional analysis (46-XX) 7 Functions of a complex variable (30-XX) 6 Topological groups, Lie groups (22-XX) 6 Computer science (68-XX) 6 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-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 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 Convex and discrete geometry (52-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 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

414 Publications have been cited 2,218 times in 1,919 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
Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
2009
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
High-order expansions of invariant manifolds of libration point orbits with applications to mission design. Zbl 1093.70012
Masdemont, J. J.
2005
Exponential stability analysis of travelling waves solutions for nonlinear delayed cellular neural networks. Zbl 1382.34077
Guo, Yingxin
2017
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
Entry and return times distribution. Zbl 1295.37003
Haydn, N. T. A.
2013
On the existence of pullback attractors for non-autonomous reaction-diffusion equations. Zbl 1145.35047
Wang, Yonghai; Zhong, Chengkui
2008
A strange attractor in the unfolding of an orbit-flip homoclinic orbit. Zbl 1184.37029
Naudot, Vincent
2002
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
Switching near a network of rotating nodes. Zbl 1186.37060
Aguiar, Manuela A. D.; Labouriau, Isabel S.; Rodrigues, Alexandre A. P.
2010
Discontinuity geometry for an impact oscillator. Zbl 1048.34025
Chillingworth, D. R. J.
2002
A note on Gevrey regular KAM theory and the inverse approximation lemma. Zbl 1036.37022
Wagener, Florian
2003
Lyapunov function construction for ordinary differential equations with linear programming. Zbl 1013.34051
Marinósson, Sigurđur F.
2002
Shadowing for actions of some finitely generated groups. Zbl 1350.37030
Osipov, Alexey V.; Tikhomirov, Sergey B.
2014
Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066
Golubitsky, M.; Pivato, M.; Stewart, I.
2004
Stability properties of divergence-free vector fields. Zbl 1259.37019
Ferreira, Célia
2012
Nonautonomous attractors of switching systems. Zbl 1136.37313
Kloeden, P. E.
2006
Small noise limit for diffusions near heteroclinic networks. Zbl 1281.34105
Bakhtin, Yuri
2010
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
Morales, C. A.
2016
Almost periodic solutions for impulsive fractional differential equations. Zbl 1320.34012
Stamov, Gani Tr.; Stamova, Ivanka M.
2014
Finite-dimensional limiting dynamics of random dynamical systems. Zbl 1038.37041
Langa, J. A.
2003
Invariant scrambled sets and distributional chaos. Zbl 1171.37022
Oprocha, Piotr
2009
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
Age-structured predator-prey model with habitat complexity: oscillations and control. Zbl 1278.92037
Bairagi, N.; Jana, D.
2012
Essential instabilities of fronts: bifurcation, and bifurcation failure. Zbl 1055.37069
Sandstede, Björn; Scheel, Arnd
2001
The concept of bounded mean motion for toral homeomorphisms. Zbl 1190.37047
Jäger, T.
2009
Stability in simple heteroclinic networks in $$\mathbb{R}^4$$. Zbl 1404.34053
Castro, Sofia B. S. D.; Lohse, Alexander
2014
Transitive sets for quasi-periodically forced monotone maps. Zbl 1057.37043
Stark, J.
2003
Stability for impulsive control systems. Zbl 1025.37049
Pereira, Fernando L.; Silva, Geraldo N.
2002
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
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
Dynamics of surface diffeomorphisms relative to homoclinic and heteroclinic orbits. Zbl 1042.37030
Collins, Pieter
2004
Extremal behaviour of chaotic dynamics. Zbl 1328.37003
Freitas, Jorge Milhazes
2013
Pullback attractors in $$H^1(\mathbb R^N)$$ for non-autonomous nonclassical diffusion equations. Zbl 1284.35084
Zhang, Fanghong; Liu, Yongfeng
2014
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
The invariant manifold structure of the spatial Hill’s problem. Zbl 1062.70026
Gómez, G.; Marcote, M.; Mondelo, J. M.
2005
Lorenz attractors in unfoldings of homoclinic-flip bifurcations. Zbl 1268.37023
Golmakani, A.; Homburg, A. J.
2011
Nonholonomic Euler-Poincaré equations and stability in Chaplygin’s sphere. Zbl 1036.70009
Schneider, David
2002
Closed trajectories in planar relay feedback systems. Zbl 1046.34024
Giannakopoulos, Fotios; Pliete, Karin
2002
Rotation numbers for quasi-periodically forced monotone circle maps. Zbl 1047.37025
Stark, J.; Feudel, U.; Glendinning, P. A.; Pikovsky, A.
2002
Measure attractors and Markov attractors. Zbl 1153.37391
Crauel, H.
2008
Examples of singular-hyperbolic attracting sets. Zbl 1153.37016
Morales, C. A.
2007
Multiple positive solutions of integral BVPs for high-order nonlinear fractional differential equations with impulses and distributed delays. Zbl 1321.34105
Zhao, Kaihong
2015
On stochastic stability of expanding circle maps with neutral fixed points. Zbl 1287.37028
Shen, Weixiao; van Strien, Sebastian
2013
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
Extending the permissible control loop latency for the controlled inverted pendulum. Zbl 1079.34060
Sieber, J.; Krauskopf, B.
2005
A constructive converse Lyapunov theorem on asymptotic stability for nonlinear autonomous ordinary differential equations. Zbl 1102.34038
Hafstein, S. F.
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
Qualitative features of matrix pencils and DAEs arising in circuit dynamics. Zbl 1125.37060
Riaza, Ricardo; Tischendorf, Caren
2007
A mechanism for switching near a heteroclinic network. Zbl 1204.37023
Kirk, Vivien; Lane, Emily; Postlethwaite, Claire M.; Rucklidge, Alastair M.; Silber, Mary
2010
Anholonomic frames in constrained dynamics. Zbl 1200.37056
Crampin, M.; Mestdag, T.
2010
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
Livsic theorems, maximizing measures and the stable norm. Zbl 1057.37023
Pollicott, Mark; Sharp, Richard
2004
Generalized Hopf bifurcation in a class of planar switched systems. Zbl 1252.37041
Huan, Song-Mei; Yang, Xiao-Song
2011
Entropy-minimizing models of surface diffeomorphisms relative to homoclinic and heteroclinic orbits. Zbl 1122.37032
Collins, Pieter
2005
Chaotic double cycling. Zbl 1219.37020
Rodrigues, Alexandre A. P.; Labouriau, Isabel S.; Aguiar, Manuela A. D.
2011
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
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
Extending Melnikov theory to invariant manifolds on non-compact domains. Zbl 1032.34041
Wechselberger, Martin
2002
Global attractors of pinched skew products. Zbl 1024.37017
Glendinning, Paul
2002
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
Delay induced canards in a model of high speed machining. Zbl 1185.37135
Campbell, Sue Ann; Stone, Emily; Erneux, Thomas
2009
Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010
Stewart, Ian; Parker, Martyn
2008
Kawaguchi, Noriaki
2017
Synchronization hypothesis in the Winfree model. Zbl 1379.37141
Oukil, W.; Kessi, A.; Thieullen, Ph.
2017
Some results on the entropy of non-autonomous dynamical systems. Zbl 1370.37032
Kawan, Christoph; Latushkin, Yuri
2016
Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise. Zbl 1415.37100
Lan, Yun; Shu, Ji
2019
Density of metric entropies for linear toral automorphisms. Zbl 1244.37007
Sun, Peng
2012
Some properties of topological pressure of a semigroup of continuous maps. Zbl 1315.37010
Ma, Dongkui; Liu, Shaohua
2014
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
Dimension of measures for suspension flows. Zbl 1066.37014
Barreira, L.; Radu, L.; Wolf, C.
2004
Anti-integrability in scattering billiards. Zbl 1058.37023
Chen, Yi-Chiuan
2004
The restricted Hill full 4-body problem: application to spaceraft motion about binary asteroids. Zbl 1125.70006
Scheeres, D. J.; Bellerose, J.
2005
Stability of impulsive delay differential equations with impulses at variable times. Zbl 1088.34069
Zhang, Yu; Sun, Jitao
2005
Sticky orbits in a kicked-oscillator model. Zbl 1098.37066
Lowenstein, J. H.; Poggiaspalla, G.; Vivaldi, F.
2005
A codimension-two resonant bifurcation from a heteroclinic cycle with complex eigenvalues. Zbl 1132.34033
Postlethwaite, Claire M.; Dawes, Jonathan H. P.
2006
Lyapunov exponents for systems with unbounded coefficients. Zbl 1270.93102
2013
Simultaneously non-dense orbits under different expanding maps. Zbl 1204.37038
Färm, David
2010
Snakes and isolas in non-reversible conservative systems. Zbl 1254.35121
Sandstede, Björn; Xu, Yancong
2012
Nonlinear models of chatter in drilling processes. Zbl 1095.70011
2002
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
Flow equivalence and isotopy for subshifts. Zbl 1381.37020
Boyle, Mike; Carlsen, Toke Meier; Eilers, Søren
2017
Specification and partial hyperbolicity for flows. Zbl 1357.37049
Sumi, Naoya; Varandas, Paulo; Yamamoto, Kenichiro
2015
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
Ergodic optimization for noncompact dynamical systems. Zbl 1170.28303
Jenkinson, O.; Mauldin, R. D.; Urbański, M.
2007
$$C^0$$-stability for actions implies shadowing property. Zbl 07362551
Iglesias, Jorge; Portela, Aldo
2021
Shadowing property for the free group acting in the circle. Zbl 1439.37022
Iglesias, Jorge; Portela, Aldo
2020
Gibbs states and Gibbsian specifications on the space $$\mathbb{R}^\mathbb{N}$$. Zbl 1447.37046
Lopes, Artur O.; Vargas, Victor
2020
Leafwise shadowing property for partially hyperbolic diffeomorphisms. Zbl 1450.37022
Castro, A.; Rodrigues, F.; Varandas, P.
2020
A groupoid approach to $$C^*$$-algebras associated with $$\lambda$$-graph systems and continuous orbit equivalence of subshifts. Zbl 07345258
Matsumoto, Kengo
2020
Equicontinuity and Li-Yorke pairs of dendrite maps. Zbl 1468.37010
2020
Invariant multi-graphs in step skew-products. Zbl 1441.37047
Gelfert, Katrin; Oliveira, Daniel
2020
Asymptotic properties of a stochastic SIRS epidemic model with nonlinear incidence and varying population sizes. Zbl 1455.92139
2020
Global attractors for semigroup actions on uniformizable spaces. Zbl 1439.37015
Souza, Josiney A.; Alves, Richard W. M.
2020
Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type. Zbl 1451.60036
Kesseböhmer, Marc; Schindler, Tanja I.
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
Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. Zbl 07345260
Cardoso, João L.; Llibre, Jaume; Novaes, Douglas D.; Tonon, Durval J.
2020
Good, Chris; Mitchell, Joel; Thomas, Joe
2020
Minimality of 5-adic polynomial dynamics. Zbl 1467.37096
Kim, Donggyun; Kwon, Youngwoo; Song, Kyunghwan
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
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
Geometric method for global stability and repulsion in Kolmogorov systems. Zbl 1418.37046
Hou, Zhanyuan
2019
Stability of quasi-simple heteroclinic cycles. Zbl 1411.34060
Garrido-da-Silva, L.; Castro, S. B. S. D.
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
Explicit bounds for separation between Oseledets subspaces. Zbl 1417.47006
Quas, Anthony; Thieullen, Philippe; Zarrabi, Mohamed
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
Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set. Zbl 1411.37014
Bernardi, Olga; Florio, Anna
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
Structural stability and a characterization of Anosov families. Zbl 1466.37027
Muentes Acevedo, Jeovanny de Jesus
2019
The asymptotically additive topological pressure: variational principle for non-compact and intersection of irregular sets. Zbl 1435.37031
Ferreira, G.
2019
Chaos near a reversible homoclinic bifocus. Zbl 1418.37040
Barrientos, Pablo G.; Raibekas, Artem; Rodrigues, Alexandre A. P.
2019
Duck traps: two-dimensional critical manifolds in planar systems. Zbl 1440.34060
Kuehn, Christian; Münch, Christian
2019
Recurrence determinism and Li-Yorke chaos for interval maps. Zbl 1411.37042
2019
A special class of infinite measure-preserving quadratic rational maps. Zbl 1420.37027
Bayless-Rossetti, Rachel; Hawkins, Jane
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
Phase portraits of Abel quadratic differential systems of the second kind. Zbl 1402.34014
Ferragut, Antoni; Valls, Claudia
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
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
A note on circle maps driven by strongly expanding endomorphisms on $$\mathbb T$$. Zbl 1393.37054
Bjerklöv, Kristian
2018
Criteria on existence of horseshoes near homoclinic tangencies of arbitrary orders. Zbl 1397.37021
Gonchenko, Sergey; Li, Ming-Chia; Malkin, Mikhail
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
Julia sets for Fibonacci endomorphisms of $$\mathbb R^2$$. Zbl 1402.37058
Bonnot, S.; de Carvalho, A.; Messaoudi, A.
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
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
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
On the reducibility of a nonlinear periodic system with degenerate equilibrium. Zbl 1400.37071
Liang, Jianli; Tang, Longkun
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
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
Inverse shadowing in group actions. Zbl 1378.37051
Pilyugin, Sergei Yu.
2017
Periodic orbits of oval billiards on surfaces of constant curvature. Zbl 1372.37085
Coutinho dos Santos, Luciano; Pinto-de-Carvalho, Sônia
2017
Sensing and control in symmetric networks. Zbl 1359.93047
Dellnitz, Michael; Klus, Stefan
2017
Notes on multiple periodic solutions for second-order discrete Hamiltonian system. Zbl 1390.39023
Ding, Liang; Wei, Jinlong
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
On the existence of global attractors in principal bundles. Zbl 1387.37019
Souza, Josiney A.
2017
Integrability conditions for complex Kukles systems. Zbl 1383.34051
Giné, Jaume; Valls, Claudia
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
Equivariant bifurcations in four-dimensional fixed point spaces. Zbl 1362.37103
Lauterbach, Reiner; Schwenker, Sören Niklas
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
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
Morales, C. A.
2016
Some results on the entropy of non-autonomous dynamical systems. Zbl 1370.37032
Kawan, Christoph; Latushkin, Yuri
2016
On the asymptotic properties of piecewise contracting maps. Zbl 1365.37018
Catsigeras, E.; Guiraud, P.; Meyroneinc, A.; Ugalde, E.
2016
Tempered exponential dichotomies: admissibility and stability under perturbations. Zbl 1370.37106
Barreira, Luis; Dragičević, Davor; Valls, Claudia
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
Renormalization of one-parameter families of piecewise isometries. Zbl 1418.37074
Lowenstein, J. H.; Vivaldi, F.
2016
Skew product cycles with rich dynamics: from totally non-hyperbolic dynamics to fully prevalent hyperbolicity. Zbl 1356.37048
Díaz, Lorenzo J.; Esteves, Salete; Rocha, Jorge
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
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
On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems. Zbl 1392.37112
Mukhamedov, Farrukh; Khakimov, Otabek
2016
Robust cycles unfolding from conservative bifocal homoclinic orbits. Zbl 1380.37044
Barrientos, Pablo G.; Ibáñez, Santiago; Rodríguez, J. Ángel
2016
On collective sensitivity for $$\mathbb{Z}^d$$-actions. Zbl 1365.37016
Shah, Sejal; Das, Ruchi
2016
Characterizing follower and extender set sequences. Zbl 1378.37020
French, Thomas
2016
Conditions for maps to be topologically conjugate or semi-conjugate to subshifts of finite type and criteria of chaos. Zbl 1367.37021
Ju, Hyonhui; Shao, Hua; Choe, Yunmi; Shi, Yuming
2016
Covering relations and Lyapunov condition for topological conjugacy. Zbl 1356.37034
Li, Ming-Chia; Lyu, Ming-Jiea
2016
Integrability of $$C^1$$ invariant splittings. Zbl 1356.37049
Luzzatto, Stefano; Türeli, Sina; War, Khadim Mbacke
2016
Superstatistics of Blaschke products. Zbl 1359.37105
Penrose, Chris; Beck, Christian
2016
Lyapunov exponents of stochastic differential equations driven by Lévy processes. Zbl 1339.60076
Qiao, Huijie; Duan, Jinqiao
2016
Centre bunching without dynamical coherence. Zbl 1365.37033
Hammerlindl, Andy
2016
Variational principle for topological tail pressures with sub-additive upper semi-continuous potentials. Zbl 1365.37035
Ding, Dandan; Zhang, Zhiming; Ma, Xianfeng; Chen, Ercai
2016
Topological pressure dimension for almost additive potentials. Zbl 1348.54036
Liu, Lei; Gong, Huajun; Zhou, Xiaoyao
2016
Multiple positive solutions of integral BVPs for high-order nonlinear fractional differential equations with impulses and distributed delays. Zbl 1321.34105
Zhao, Kaihong
2015
Specification and partial hyperbolicity for flows. Zbl 1357.37049
Sumi, Naoya; Varandas, Paulo; Yamamoto, Kenichiro
2015
Extremal dichotomy for uniformly hyperbolic systems. Zbl 1357.37009
Carvalho, Maria; Moreira Freitas, Ana Cristina; Milhazes Freitas, Jorge; Holland, Mark; Nicol, Matthew
2015
Subsequence bounded rational ergodicity of rank-one transformations. Zbl 1351.37035
Bozgan, Francisc; Sanchez, Anthony; Silva, Cesar E.; Stevens, David; Wang, Jane
2015
Oscillations of differential equations with several non-monotone advanced arguments. Zbl 1330.34107
Chatzarakis, G. E.; Öcalan, Özkan
2015
Recent progress on sectional-hyperbolic systems. Zbl 1357.37047
Bautista, S.; Morales, C. A.
2015
...and 314 more Documents
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#### Cited by 2,436 Authors

 26 Wang, Bixiang 24 Lee, Manseob 22 Ashwin, Peter 21 Llibre, Jaume 20 Teng, Zhi-dong 18 Rodrigues, Alexandre A. P. 16 Hafstein, Sigurður Freyr 16 Oertel-Jäger, Tobias Hendrik 16 Morales, Carlos Arnoldo 15 Valls Anglés, Cláudia 14 Aguiar, Manuela A. D. 14 Kloeden, Peter Eris 14 Stewart, Ian Nicholas 14 Varandas, Paulo 13 Bakhtin, Yuri Yu. 13 Vaienti, Sandro 12 Dias, Ana Paula S. 12 Dragičević, Davor 12 Freitas, Jorge Milhazes 12 Fu, Xinchu 11 Barreira, Luis Manuel 10 Bessa, Mário 10 Caraballo Garrido, Tomás 10 Giesl, Peter 10 Labouriau, Isabel S. 9 Freitas, Ana Cristina Moreira 9 Gelfert, Katrin Grit 9 Langa, Jose’ Antonio 9 Lee, Keonhee 9 Liu, Xingbo 9 Rodríguez-Luis, Alejandro J. 9 Todd, Mike 9 Xu, Junxiang 9 Yang, Xiaosong 9 Zhao, Kaihong 8 Algaba, Antonio 8 Bloch, Anthony M. 8 Castro, Sofia B. S. D. 8 Colombo, Leonardo Jesus 8 Edwards, Roderick 8 Iommi, Godofredo 8 Li, Risong 8 Lohse, Alexander 8 Lopes, Artur Oscar 8 Ma, Dongkui 8 Martín de Diego, David 8 Mesón, Alejandro M. 8 Naudot, Vincent 8 Nicol, Matthew 8 Osinga, Hinke Maria 8 Sandstede, Björn 8 Tachim Medjo, Theodore 8 Tian, Xueting 8 Vericat, Fernando 8 Zhou, Shengfan 7 Banaji, Murad 7 Broer, Henk W. 7 Chen, Fengde 7 Chen, Guanrong 7 Demers, Mark F. 7 Díaz, Lorenzo Justiniano 7 Golubitsky, Martin A. 7 Ha, Seung-Yeal 7 Haydn, Nicolai T. A. 7 Huan, Songmei 7 Krauskopf, Bernd 7 Lowenstein, John H. 7 Mamaev, Ivan Sergeevich 7 Niezabitowski, Michał 7 Piiroinen, Petri T. 7 Podvigina, Ol’ga Mikhaĭlovna 7 Scheutzow, Michael K. R. 7 Volpert, Vitaly A. 7 Wang, Lidong 7 Zhang, Dongfeng 7 Zhao, Yun 6 Araújo, Vítor 6 Balasuriya, Sanjeeva 6 Bizyaev, Ivan Alekseevich 6 Borisov, Alekseĭ Vladimirovich 6 Crauel, Hans 6 Czornik, Adam 6 Duan, Jinqiao 6 Faranda, Davide 6 Gouzé, Jean-Luc 6 Gu, Anhui 6 Hanßmann, Heinz 6 Ibáñez, Santiago 6 Lu, Tianxiu 6 Ma, Zhihui 6 Mahmoud, Gamal M. 6 Mitchell, Kevin A. 6 Oprocha, Piotr 6 Postlethwaite, Claire M. 6 Riaza, Ricardo 6 Rodrigues, Fagner B. 6 Shu, Ji 6 Souza, Josiney A. 6 Vivaldi, Franco 6 Yu, Rongzhong ...and 2,336 more Authors
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#### Cited in 313 Journals

 111 Dynamical Systems 98 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 70 Journal of Mathematical Analysis and Applications 69 Journal of Differential Equations 60 Ergodic Theory and Dynamical Systems 57 Discrete and Continuous Dynamical Systems 55 Physica D 46 Chaos 40 Nonlinearity 40 Nonlinear Dynamics 35 SIAM Journal on Applied Dynamical Systems 34 Journal of Nonlinear Science 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Chaos, Solitons and Fractals 31 Stochastics and Dynamics 28 Discrete and Continuous Dynamical Systems. Series B 27 Qualitative Theory of Dynamical Systems 25 Applied Mathematics and Computation 25 Transactions of the American Mathematical Society 25 Celestial Mechanics and Dynamical Astronomy 23 Journal of Dynamics and Differential Equations 22 Advances in Difference Equations 21 Communications in Mathematical Physics 21 Proceedings of the American Mathematical Society 19 Journal of Statistical Physics 19 Journal of Difference Equations and Applications 19 Communications in Nonlinear Science and Numerical Simulation 17 Regular and Chaotic Dynamics 16 Nonlinear Analysis. Real World Applications 13 Journal of Mathematical Biology 13 Advances in Mathematics 12 Journal of Mathematical Physics 12 Mathematische Zeitschrift 12 Applied Mathematics Letters 12 Abstract and Applied Analysis 12 Acta Mathematica Sinica. English Series 11 Bulletin of Mathematical Biology 11 Monatshefte für Mathematik 11 Bulletin of the Brazilian Mathematical Society. New Series 10 Israel Journal of Mathematics 10 Mathematical Problems in Engineering 10 Journal of Theoretical Biology 9 Journal of Computational and Applied Mathematics 9 Topology and its Applications 9 Applied Mathematical Modelling 8 Applicable Analysis 8 Journal of Geometry and Physics 8 Stochastic Processes and their Applications 8 Journal of Dynamical and Control Systems 8 Communications on Pure and Applied Analysis 8 Boundary Value Problems 7 Journal of the Franklin Institute 7 Journal of the Korean Mathematical Society 7 Journal of Mathematical Chemistry 7 Journal of Geometric Mechanics 6 Computers & Mathematics with Applications 6 Automatica 6 Systems & Control Letters 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Nonlinear Analysis. Hybrid Systems 5 Mathematical Biosciences 5 Annales de l’Institut Fourier 5 Mathematics and Computers in Simulation 5 Quarterly of Applied 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 Complexity 5 Differential Equations and Dynamical Systems 5 Discrete Dynamics in Nature and Society 5 International Journal of Geometric Methods in Modern Physics 5 Mediterranean Journal of Mathematics 5 Mathematical Modelling of Natural Phenomena 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 Mathematical Proceedings of the Cambridge Philosophical Society 4 Applied Mathematics and Optimization 4 Inventiones Mathematicae 4 Results in Mathematics 4 Stochastic Analysis and Applications 4 The Annals of Applied Probability 4 Experimental Mathematics 4 Journal of Mathematical Sciences (New York) 4 Mathematical Physics, Analysis and Geometry 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Journal of Biological Systems 4 Mathematical Biosciences and Engineering 4 Journal of Modern Dynamics 4 International Journal of Biomathematics 4 Science China. Mathematics 4 Journal of Applied Analysis and Computation 4 Open Mathematics 3 Physica A 3 Reports on Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 The Annals of Probability ...and 213 more Journals
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#### Cited in 57 Fields

 1,163 Dynamical systems and ergodic theory (37-XX) 539 Ordinary differential equations (34-XX) 258 Biology and other natural sciences (92-XX) 233 Partial differential equations (35-XX) 219 Mechanics of particles and systems (70-XX) 181 Probability theory and stochastic processes (60-XX) 142 Systems theory; control (93-XX) 77 Measure and integration (28-XX) 63 General topology (54-XX) 59 Numerical analysis (65-XX) 41 Operator theory (47-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 34 Fluid mechanics (76-XX) 31 Differential geometry (53-XX) 29 Difference and functional equations (39-XX) 28 Combinatorics (05-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Information and communication theory, circuits (94-XX) 25 Number theory (11-XX) 24 Computer science (68-XX) 24 Mechanics of deformable solids (74-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Operations research, mathematical programming (90-XX) 17 Group theory and generalizations (20-XX) 16 Topological groups, Lie groups (22-XX) 16 Real functions (26-XX) 16 Integral equations (45-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Manifolds and cell complexes (57-XX) 10 Statistics (62-XX) 9 Geophysics (86-XX) 8 Functional analysis (46-XX) 7 Algebraic geometry (14-XX) 7 Functions of a complex variable (30-XX) 7 Algebraic topology (55-XX) 6 Quantum theory (81-XX) 5 Convex and discrete geometry (52-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Optics, electromagnetic theory (78-XX) 4 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Special functions (33-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-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 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Relativity and gravitational theory (83-XX)