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## Zgliczyński, Piotr

Compute Distance To:
 Author ID: zgliczynski.piotr Published as: Zgliczyński, Piotr; Zgliczynski, Piotr; Zgliczyński, P. External Links: ORCID
 Documents Indexed: 77 Publications since 1995, including 1 Book
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#### Co-Authors

 20 single-authored 9 Wilczak, Daniel 8 Wójcik, Klaudiusz 7 Capinski, Maciej J. 4 Galias, Zbigniew 4 Moczurad, Małgorzata 3 Kapela, Tomasz 3 Mrozek, Marian 2 Arioli, Gianni 2 Cyranka, Jacek 2 Franek, Peter 2 Gidea, Marian 2 Gierzkiewicz, Anna 2 Kalita, Piotr 2 Li, Ming-Chia 2 Mischaikow, Konstantin 2 Ratschan, Stefan 2 Szczelina, Robert 1 Czechowski, Aleksander 1 Delshams, Amadeu 1 Kokubu, Hiroshi 1 Lyu, Ming-Jiea 1 Misiurewicz, Michał 1 Simon, Adrià 1 Sitarz, Andrzej 1 Srzednicki, Roman 1 Szymczak, Andrzej 1 Turaev, Dmitry V. 1 Zwonek, Włodzimierz
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#### Serials

 15 Journal of Differential Equations 8 Nonlinearity 7 SIAM Journal on Applied Dynamical Systems 5 Foundations of Computational Mathematics 4 Topological Methods in Nonlinear Analysis 4 Discrete and Continuous Dynamical Systems 3 Celestial Mechanics and Dynamical Astronomy 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 2 Communications in Mathematical Physics 2 Journal of Complexity 2 Communications in Nonlinear Science and Numerical Simulation 1 Annales Polonici Mathematici 1 Fundamenta Mathematicae 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Physica D 1 Journal of Automated Reasoning 1 Rivista di Matemàtica Pura ed Applicata 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mathematical Physics Electronic Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Banach Center Publications 1 Journal of Computational Dynamics
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#### Fields

 56 Dynamical systems and ergodic theory (37-XX) 26 Ordinary differential equations (34-XX) 23 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 8 Mechanics of particles and systems (70-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH Open

62 Publications have been cited 729 times in 344 Documents Cited by Year
Covering relations for multidimensional dynamical systems. Zbl 1061.37013
Zgliczyński, Piotr; Gidea, Marian
2004
Computer assisted proof of chaos in the Rössler equations and in the Hénon map. Zbl 0907.58048
Zgliczyński, Piotr
1997
Heteroclinic connections between periodic orbits in planar restricted circular three-body problem – a computer-assisted proof. Zbl 1055.70005
Wilczak, Daniel; Zgliczynski, Piotr
2003
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101
Zgliczyński, Piotr; Mischaikow, Konstantin
2001
$$C^1$$ Lohner algorithm. Zbl 1049.65038
Zgliczynski, Piotr
2002
Computer assisted proof of chaos in the Lorenz equations. Zbl 0941.37018
Galias, Z.; Zgliczyński, P.
1998
Covering relations, cone conditions and the stable manifold theorem. Zbl 1185.37045
Zgliczyński, Piotr
2009
Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE – a computer-assisted proof. Zbl 1066.65105
Zgliczyński, Piotr
2004
Fixed point index for iterations of maps, topological horseshoe and chaos. Zbl 0903.58031
Zgliczyński, Piotr
1996
The existence of simple choreographies for the $$N$$-body problem – a computer-assisted proof. Zbl 1060.70023
Kapela, Tomasz; Zgliczyński, Piotr
2003
Covering relations for multidimensional dynamical systems. II. Zbl 1096.37031
Gidea, Marian; Zgliczyński, Piotr
2004
Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level. Zbl 1018.37006
Arioli, Gianni; Zgliczyński, Piotr
2001
Isolating segments, fixed point index, and symbolic dynamics. Zbl 0953.34034
Wójcik, Klaudiusz; Zgliczyński, Piotr
2000
A Lohner-type algorithm for control systems and ordinary differential inclusions. Zbl 1185.65079
Kapela, Tomasz; Zgliczyński, Piotr
2009
Rigorous verification of cocoon bifurcations in the Michelson system. Zbl 1126.37035
Kokubu, Hiroshi; Wilczak, Daniel; Zgliczyński, Piotr
2007
Cone conditions and covering relations for topologically normally hyperbolic invariant manifolds. Zbl 1221.37054
Capiński, Maciej J.; Zgliczyński, Piotr
2011
Rigorous numerics for dissipative PDEs. III: An effective algorithm for rigorous integration of dissipative PDEs. Zbl 1230.65113
Zgliczyński, Piotr
2010
Abundance of homoclinic and heteroclinic orbits and rigorous bounds for the topological entropy for the Hénon map. Zbl 1067.37052
Galias, Zbigniew; Zgliczyński, Piotr
2001
Fixed point results based on the Ważewski method. Zbl 1079.37012
Srzednicki, R.; Wójcik, K.; Zgliczyński, P.
2005
Heteroclinic connections between periodic orbits in planar restricted circular three body problem. II. Zbl 1133.70005
Wilczak, Daniel; Zgliczyński, Piotr
2005
Period doubling in the Rössler system – a computer assisted proof. Zbl 1177.37083
Wilczak, Daniel; Zgliczyński, Piotr
2009
Geometric proof for normally hyperbolic invariant manifolds. Zbl 1352.37077
Capiński, Maciej J.; Zgliczyński, Piotr
2015
Attracting fixed points for the Kuramoto–Sivashinsky equation: A computer assisted proof. Zbl 1004.35017
Zgliczynski, Piotr
2002
Topological entropy for multidimensional perturbations of snap-back repellers and one-dimensional maps. Zbl 1153.37354
Li, Ming-Chia; Lyu, Ming-Jiea; Zgliczyński, Piotr
2008
Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing – a computer assisted proof. Zbl 1312.65170
Cyranka, Jacek; Zgliczyński, Piotr
2015
Transition tori in the planar restricted elliptic three-body problem. Zbl 1218.37074
Capiński, Maciej J.; Zgliczyński, Piotr
2011
Set arithmetic and the enclosing problem in dynamics. Zbl 0967.65113
Mrozek, Marian; Zgliczyński, Piotr
2000
A homoclinic orbit in a planar singular ODE – a computer assisted proof. Zbl 1284.34070
Szczelina, Robert; Zgliczyński, Piotr
2013
Infinite dimensional Krawczyk operator for finding periodic orbits of discrete dynamical systems. Zbl 1148.37041
Galias, Zbigniew; Zgliczyński, Piotr
2007
Computer assisted proof of the existence of homoclinic tangency for the Hénon map and for the forced damped pendulum. Zbl 1187.37115
Wilczak, Daniel; Zgliczyński, Piotr
2009
Topological method for symmetric periodic orbits for maps with a reversing symmetry. Zbl 1124.37015
Wilczak, Daniel; Zgliczyński, Piotr
2007
Sharkovskii’s theorem for multidimensional perturbations of one-dimensional maps. Zbl 0949.37020
Zgliczyński, Piotr
1999
Topological entropy for multidimensional perturbations of one-dimensional maps. Zbl 1090.37507
Misiurewicz, Michał; Zgliczyński, Piotr
2001
Satisfiability of systems of equations of real analytic functions is quasi-decidable. Zbl 1343.03036
Franek, Peter; Ratschan, Stefan; Zgliczynski, Piotr
2011
The Hénon-Heiles Hamiltonian near the critical energy level. Some rigorous results. Zbl 1040.37049
Arioli, Gianni; Zgliczyński, Piotr
2003
Algorithm for rigorous integration of delay differential equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation. Zbl 1402.65050
Szczelina, Robert; Zgliczyński, Piotr
2018
Multidimensional perturbations of one-dimensional maps and stability of Šarkovskiĭ ordering. Zbl 1089.37502
Zgliczyński, Piotr
1999
Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof. Zbl 1326.35029
Zgliczyński, Piotr
2015
Isolating segments, fixed point index, and symbolic dynamics. III: Applications. Zbl 1025.37013
Wójcik, Klaudiusz; Zgliczyński, Piotr
2002
On periodic points for systems of weakly coupled 1-dim maps. Zbl 1076.37505
Zgliczyński, Piotr
2001
Beyond the Melnikov method: A computer assisted approach. Zbl 1368.37035
Capiński, Maciej J.; Zgliczyński, Piotr
2017
Sharkovskiĭ theorem for multidimensional perturbations of one-dimensional maps. II. Zbl 0976.37021
Zgliczyński, Piotr
1999
On smooth dependence on initial conditions for dissipative PDEs, an ODE-type approach. Zbl 1043.35034
Zgliczynski, Piotr
2003
Computer assisted proof of the existence of the Lorenz attractor in the Shimizu-Morioka system. Zbl 1405.34048
Capiński, Maciej J.; Turaev, Dmitry; Zgliczyński, Piotr
2018
Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane. Zbl 1067.35068
Zgliczyński, Piotr
2003
A geometric method for infinite-dimensional chaos: symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line. Zbl 1439.35218
Wilczak, Daniel; Zgliczyński, Piotr
2020
Conley index theory. Zbl 0913.00021
Mischaikow, Konstantin (ed.); Mrozek, Marian (ed.); Zgliczyński, Piotr (ed.)
1999
Topological horseshoes and delay differential equations. Zbl 1081.34072
Wójcik, Klaudiusz; Zgliczyński, Piotr
2005
Quasi-decidability of a fragment of the first-order theory of real numbers. Zbl 1437.03047
Franek, Peter; Ratschan, Stefan; Zgliczynski, Piotr
2016
A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. Zbl 1451.70032
Gierzkiewicz, Anna; Zgliczyński, Piotr
2019
Central configurations in planar $$n$$-body problem with equal masses for $$n=5,6,7$$. Zbl 1451.70024
2019
Isolating segments, fixed point index, and symbolic dynamics. II: Homoclinic solutions. Zbl 0996.37020
Wójcik, Klaudiusz; Zgliczyński, Piotr
2001
Connecting orbits for a singular nonautonomous real Ginzburg-Landau type equation. Zbl 1337.34044
Wilczak, Daniel; Zgliczyński, Piotr
2016
Shadowing of non-transversal heteroclinic chains. Zbl 1382.37061
2018
On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions. Zbl 1454.37074
Kalita, Piotr; Zgliczyński, Piotr
2020
On existence of infinitely many homoclinic solutions. Zbl 0952.34038
Wójcik, Klaudiusz; Zgliczyński, Piotr
2000
On the discrete Conley index in the invariant subspace. Zbl 0956.37009
Szymczak, Andrzej; Wójcik, Klaudiusz; Zgliczyński, Piotr
1998
Chaos in the Lorenz equations for classical parameter values. A computer assisted proof. Zbl 0996.37036
Galias, Zbigniew; Zgliczyński, Piotr
1998
Rigorous verification of chaos in the Rössler equations. Zbl 0849.65041
Zgliczyński, Piotr
1996
Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations. Zbl 1347.35041
Cyranka, Jacek; Zgliczyński, Piotr
2016
Existence of periodic solutions of the Fitzhugh-Nagumo equations for an explicit range of the small parameter. Zbl 1360.34069
Czechowski, Aleksander; Zgliczyński, Piotr
2016
Beyond the Melnikov method. II: Multidimensional setting. Zbl 1400.37031
Capiński, Maciej J.; Zgliczyński, Piotr
2018
A geometric method for infinite-dimensional chaos: symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line. Zbl 1439.35218
Wilczak, Daniel; Zgliczyński, Piotr
2020
On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions. Zbl 1454.37074
Kalita, Piotr; Zgliczyński, Piotr
2020
A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. Zbl 1451.70032
Gierzkiewicz, Anna; Zgliczyński, Piotr
2019
Central configurations in planar $$n$$-body problem with equal masses for $$n=5,6,7$$. Zbl 1451.70024
2019
Algorithm for rigorous integration of delay differential equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation. Zbl 1402.65050
Szczelina, Robert; Zgliczyński, Piotr
2018
Computer assisted proof of the existence of the Lorenz attractor in the Shimizu-Morioka system. Zbl 1405.34048
Capiński, Maciej J.; Turaev, Dmitry; Zgliczyński, Piotr
2018
Shadowing of non-transversal heteroclinic chains. Zbl 1382.37061
2018
Beyond the Melnikov method. II: Multidimensional setting. Zbl 1400.37031
Capiński, Maciej J.; Zgliczyński, Piotr
2018
Beyond the Melnikov method: A computer assisted approach. Zbl 1368.37035
Capiński, Maciej J.; Zgliczyński, Piotr
2017
Quasi-decidability of a fragment of the first-order theory of real numbers. Zbl 1437.03047
Franek, Peter; Ratschan, Stefan; Zgliczynski, Piotr
2016
Connecting orbits for a singular nonautonomous real Ginzburg-Landau type equation. Zbl 1337.34044
Wilczak, Daniel; Zgliczyński, Piotr
2016
Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations. Zbl 1347.35041
Cyranka, Jacek; Zgliczyński, Piotr
2016
Existence of periodic solutions of the Fitzhugh-Nagumo equations for an explicit range of the small parameter. Zbl 1360.34069
Czechowski, Aleksander; Zgliczyński, Piotr
2016
Geometric proof for normally hyperbolic invariant manifolds. Zbl 1352.37077
Capiński, Maciej J.; Zgliczyński, Piotr
2015
Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing – a computer assisted proof. Zbl 1312.65170
Cyranka, Jacek; Zgliczyński, Piotr
2015
Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof. Zbl 1326.35029
Zgliczyński, Piotr
2015
A homoclinic orbit in a planar singular ODE – a computer assisted proof. Zbl 1284.34070
Szczelina, Robert; Zgliczyński, Piotr
2013
Cone conditions and covering relations for topologically normally hyperbolic invariant manifolds. Zbl 1221.37054
Capiński, Maciej J.; Zgliczyński, Piotr
2011
Transition tori in the planar restricted elliptic three-body problem. Zbl 1218.37074
Capiński, Maciej J.; Zgliczyński, Piotr
2011
Satisfiability of systems of equations of real analytic functions is quasi-decidable. Zbl 1343.03036
Franek, Peter; Ratschan, Stefan; Zgliczynski, Piotr
2011
Rigorous numerics for dissipative PDEs. III: An effective algorithm for rigorous integration of dissipative PDEs. Zbl 1230.65113
Zgliczyński, Piotr
2010
Covering relations, cone conditions and the stable manifold theorem. Zbl 1185.37045
Zgliczyński, Piotr
2009
A Lohner-type algorithm for control systems and ordinary differential inclusions. Zbl 1185.65079
Kapela, Tomasz; Zgliczyński, Piotr
2009
Period doubling in the Rössler system – a computer assisted proof. Zbl 1177.37083
Wilczak, Daniel; Zgliczyński, Piotr
2009
Computer assisted proof of the existence of homoclinic tangency for the Hénon map and for the forced damped pendulum. Zbl 1187.37115
Wilczak, Daniel; Zgliczyński, Piotr
2009
Topological entropy for multidimensional perturbations of snap-back repellers and one-dimensional maps. Zbl 1153.37354
Li, Ming-Chia; Lyu, Ming-Jiea; Zgliczyński, Piotr
2008
Rigorous verification of cocoon bifurcations in the Michelson system. Zbl 1126.37035
Kokubu, Hiroshi; Wilczak, Daniel; Zgliczyński, Piotr
2007
Infinite dimensional Krawczyk operator for finding periodic orbits of discrete dynamical systems. Zbl 1148.37041
Galias, Zbigniew; Zgliczyński, Piotr
2007
Topological method for symmetric periodic orbits for maps with a reversing symmetry. Zbl 1124.37015
Wilczak, Daniel; Zgliczyński, Piotr
2007
Fixed point results based on the Ważewski method. Zbl 1079.37012
Srzednicki, R.; Wójcik, K.; Zgliczyński, P.
2005
Heteroclinic connections between periodic orbits in planar restricted circular three body problem. II. Zbl 1133.70005
Wilczak, Daniel; Zgliczyński, Piotr
2005
Topological horseshoes and delay differential equations. Zbl 1081.34072
Wójcik, Klaudiusz; Zgliczyński, Piotr
2005
Covering relations for multidimensional dynamical systems. Zbl 1061.37013
Zgliczyński, Piotr; Gidea, Marian
2004
Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE – a computer-assisted proof. Zbl 1066.65105
Zgliczyński, Piotr
2004
Covering relations for multidimensional dynamical systems. II. Zbl 1096.37031
Gidea, Marian; Zgliczyński, Piotr
2004
Heteroclinic connections between periodic orbits in planar restricted circular three-body problem – a computer-assisted proof. Zbl 1055.70005
Wilczak, Daniel; Zgliczynski, Piotr
2003
The existence of simple choreographies for the $$N$$-body problem – a computer-assisted proof. Zbl 1060.70023
Kapela, Tomasz; Zgliczyński, Piotr
2003
The Hénon-Heiles Hamiltonian near the critical energy level. Some rigorous results. Zbl 1040.37049
Arioli, Gianni; Zgliczyński, Piotr
2003
On smooth dependence on initial conditions for dissipative PDEs, an ODE-type approach. Zbl 1043.35034
Zgliczynski, Piotr
2003
Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane. Zbl 1067.35068
Zgliczyński, Piotr
2003
$$C^1$$ Lohner algorithm. Zbl 1049.65038
Zgliczynski, Piotr
2002
Attracting fixed points for the Kuramoto–Sivashinsky equation: A computer assisted proof. Zbl 1004.35017
Zgliczynski, Piotr
2002
Isolating segments, fixed point index, and symbolic dynamics. III: Applications. Zbl 1025.37013
Wójcik, Klaudiusz; Zgliczyński, Piotr
2002
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101
Zgliczyński, Piotr; Mischaikow, Konstantin
2001
Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level. Zbl 1018.37006
Arioli, Gianni; Zgliczyński, Piotr
2001
Abundance of homoclinic and heteroclinic orbits and rigorous bounds for the topological entropy for the Hénon map. Zbl 1067.37052
Galias, Zbigniew; Zgliczyński, Piotr
2001
Topological entropy for multidimensional perturbations of one-dimensional maps. Zbl 1090.37507
Misiurewicz, Michał; Zgliczyński, Piotr
2001
On periodic points for systems of weakly coupled 1-dim maps. Zbl 1076.37505
Zgliczyński, Piotr
2001
Isolating segments, fixed point index, and symbolic dynamics. II: Homoclinic solutions. Zbl 0996.37020
Wójcik, Klaudiusz; Zgliczyński, Piotr
2001
Isolating segments, fixed point index, and symbolic dynamics. Zbl 0953.34034
Wójcik, Klaudiusz; Zgliczyński, Piotr
2000
Set arithmetic and the enclosing problem in dynamics. Zbl 0967.65113
Mrozek, Marian; Zgliczyński, Piotr
2000
On existence of infinitely many homoclinic solutions. Zbl 0952.34038
Wójcik, Klaudiusz; Zgliczyński, Piotr
2000
Sharkovskii’s theorem for multidimensional perturbations of one-dimensional maps. Zbl 0949.37020
Zgliczyński, Piotr
1999
Multidimensional perturbations of one-dimensional maps and stability of Šarkovskiĭ ordering. Zbl 1089.37502
Zgliczyński, Piotr
1999
Sharkovskiĭ theorem for multidimensional perturbations of one-dimensional maps. II. Zbl 0976.37021
Zgliczyński, Piotr
1999
Conley index theory. Zbl 0913.00021
Mischaikow, Konstantin; Mrozek, Marian; Zgliczyński, Piotr
1999
Computer assisted proof of chaos in the Lorenz equations. Zbl 0941.37018
Galias, Z.; Zgliczyński, P.
1998
On the discrete Conley index in the invariant subspace. Zbl 0956.37009
Szymczak, Andrzej; Wójcik, Klaudiusz; Zgliczyński, Piotr
1998
Chaos in the Lorenz equations for classical parameter values. A computer assisted proof. Zbl 0996.37036
Galias, Zbigniew; Zgliczyński, Piotr
1998
Computer assisted proof of chaos in the Rössler equations and in the Hénon map. Zbl 0907.58048
Zgliczyński, Piotr
1997
Fixed point index for iterations of maps, topological horseshoe and chaos. Zbl 0903.58031
Zgliczyński, Piotr
1996
Rigorous verification of chaos in the Rössler equations. Zbl 0849.65041
Zgliczyński, Piotr
1996
all top 5

#### Cited by 374 Authors

 34 Zgliczyński, Piotr 26 Lessard, Jean-Philippe 26 Mireles-James, Jason D. 12 Wójcik, Klaudiusz 11 Li, Ming-Chia 11 Zanolin, Fabio 10 van den Berg, Jan Bouwe 9 Arioli, Gianni 9 de la Llave, Rafael 9 Gidea, Marian 9 Wilczak, Daniel 8 Barrio, Roberto 8 Capinski, Maciej J. 7 Breden, Maxime 7 Gameiro, Marcio F. 7 Koch, Hans-Friedrich 7 Tucker, Warwick 6 Castelli, Roberto 6 Galias, Zbigniew 6 Kościelniak, Piotr 6 Mrozek, Marian 6 Polekhin, Ivan Yu. 6 Yang, Xiaosong 5 Cyranka, Jacek 5 Krčál, Marek 5 Lyu, Ming-Jiea 5 Mazur, Marcin 5 Mischaikow, Konstantin 5 Pilarczyk, Paweł 4 Bánhelyi, Balázs 4 Calleja, Renato C. 4 Chen, Hung-Ju 4 Chen, Zengqiang 4 Delshams, Amadeu 4 Franek, Peter 4 Guardia, Marcel 4 Kokubu, Hiroshi 4 Li, Qingdu 4 Miyaji, Tomoyuki 4 Oprocha, Piotr 4 Pireddu, Marina 4 M-Seara, Tere 4 Turaev, Dmitry V. 4 Wang, Haijun 4 Wiseman, Jim 3 Bessa, Mário 3 Blesa, Fernando 3 Csendes, Tibor 3 Garay, Barnabas M. 3 García-Azpeitia, Carlos 3 Gierzkiewicz, Anna 3 Gonchenko, Sergey V. 3 Hiraoka, Yasuaki 3 Kalies, William D. 3 Kaloshin, Vadim Yu. 3 Kirchgraber, Urs 3 Li, Xianyi 3 Martín, Pau 3 Matoušek, Jiří 3 Nakao, Mitsuhiro T. 3 Oishi, Shin’ichi 3 Okamoto, Hisashi 3 Ruiz-Herrera, Alfonso 3 Sergeraert, Francis 3 Serrano, Sergio E. 3 Stoffer, Daniel 3 Takayasu, Akitoshi 3 Wang, Jiezhi 3 Zhou, Leilei 2 Barabash, Nikita V. 2 Belykh, Igor V. 2 Belykh, Vladimir N. 2 Blömker, Dirk 2 Boscaggin, Alberto 2 Čadek, Martin 2 Chen, Yuanlong 2 Collins, Peter J. 2 Coomes, Brian A. 2 Doedel, Eusebius J. 2 Feltrin, Guglielmo 2 Fenucci, Marco 2 Figueras, Jordi-Lluís 2 Fleurantin, Emmanuel 2 Fogelklou, Oswald 2 Giuliani, Filippo 2 Goldsztejn, Alexandre 2 Jorba, Àngel 2 Kalita, Piotr 2 Kapela, Tomasz 2 Kazakov, Alexey O. 2 Kepley, Shane 2 Kocak, Huseyin 2 Kosiorowski, Grzegorz 2 Kreiss, Gunilla 2 Li, Liangliang 2 Liao, Kang-Ling 2 Llibre, Jaume 2 Matsue, Kaname 2 Minamoto, Teruya 2 Mizuguchi, Makoto ...and 274 more Authors
all top 5

#### Cited in 90 Serials

 43 Journal of Differential Equations 27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 SIAM Journal on Applied Dynamical Systems 14 Nonlinearity 13 Journal of Mathematical Analysis and Applications 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Computational and Applied Mathematics 9 Celestial Mechanics and Dynamical Astronomy 9 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Computational Dynamics 8 Journal of Dynamics and Differential Equations 8 Chaos 7 Chaos, Solitons and Fractals 7 Physica D 7 Discrete and Continuous Dynamical Systems 6 Indagationes Mathematicae. New Series 6 Foundations of Computational Mathematics 5 Communications in Mathematical Physics 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 4 Archive for Rational Mechanics and Analysis 4 Topology and its Applications 4 Japan Journal of Industrial and Applied Mathematics 3 Mathematics of Computation 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Nonlinear Science 3 Journal of Difference Equations and Applications 3 Nonlinear Dynamics 3 Qualitative Theory of Dynamical Systems 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Numerische Mathematik 2 Ergodic Theory and Dynamical Systems 2 Applied Numerical Mathematics 2 Discrete & Computational Geometry 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of the European Mathematical Society (JEMS) 2 Dynamical Systems 2 Journal of Applied Analysis and Computation 1 Astrophysics and Space Science 1 Computer Physics Communications 1 International Journal of General Systems 1 Journal of Mathematical Biology 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Automatica 1 Duke Mathematical Journal 1 Kybernetika 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Information and Computation 1 Journal of Automated Reasoning 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Formal Methods in System Design 1 Computational and Applied Mathematics 1 Complexity 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Journal of the ACM 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 Regular and Chaotic Dynamics 1 International Journal of Applied Mathematics and Computer Science 1 CEJOR. Central European Journal of Operations Research 1 Annales Mathematicae Silesianae 1 Differential Equations 1 Nonlinear Analysis. Modelling and Control 1 Advanced Nonlinear Studies 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Nelineĭnaya Dinamika 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Applied and Computational Topology
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#### Cited in 35 Fields

 229 Dynamical systems and ergodic theory (37-XX) 106 Ordinary differential equations (34-XX) 101 Numerical analysis (65-XX) 56 Partial differential equations (35-XX) 51 Mechanics of particles and systems (70-XX) 16 Operator theory (47-XX) 16 General topology (54-XX) 14 Computer science (68-XX) 13 Biology and other natural sciences (92-XX) 9 Algebraic topology (55-XX) 9 Systems theory; control (93-XX) 6 Fluid mechanics (76-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Difference and functional equations (39-XX) 5 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)