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Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 2012, Volume 13, Issue 2, pp. 947 - 952
We propose a reliable method for constructing a directed weighted complex network (DWCN) from a time series. Through investigating the DWCN for various time... 
Nonlinear dynamics | Unstable periodic orbits | Complex network | Time series | UNSTABLE PERIODIC-ORBITS | SYNCHRONIZATION | MATHEMATICS, APPLIED | SYSTEMS | Networks | Hierarchies | Chaos theory | Dynamics | Orbits | Topology
Journal Article
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 09/2019, Volume 64, Issue 9, pp. 3748 - 3755
A sampled-data Pyragas-type delayed feedback control framework is proposed for stabilizing both periodic solutions of linear periodic systems and unstable... 
unstable periodic orbits (UPOs) | sampled-data control | Delayed feedback control | unstable periodic orbits | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 10/2014, Volume 78, Issue 2, pp. 969 - 980
Journal Article
2014, Mathematical surveys and monographs, ISBN 9781470415228, Volume 197, x, 212 pages
Book
Information Sciences, ISSN 0020-0255, 11/2018, Volume 468, pp. 63 - 71
For parallel dynamical systems over undirected graphs with a Boolean maxterm or minterm functions as global evolution operators, it is known that every... 
Parallel dynamical systems | Periodic orbits | Boolean functions | Boolean algebra | Number of periodic orbits | CELLULAR-AUTOMATA | NETWORK | COMPUTER SCIENCE, INFORMATION SYSTEMS | FIXED-POINTS | Algebra
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 07/2016, Volume 261, Issue 1, pp. 56 - 101
In this paper we prove the existence of an almost invariant symplectic slow manifold for analytic Hamiltonian slow–fast systems with finitely many slow degrees... 
MATHEMATICS | PERIODIC-ORBITS | CONVERGENCE | SYSTEMS | PERSISTENCE | STABILITY
Journal Article
Aerospace Science and Technology, ISSN 1270-9638, 10/2017, Volume 69, pp. 458 - 464
Following an approach based on ground track analysis, original and compact relationships which permit the construction of ground track patterns and the... 
Periodic orbit | Ground track | Satellite constellations | PERIODIC-ORBITS | MAINTENANCE | CONTINUOUS GLOBAL COVERAGE | EARTH-OBSERVATION | ENGINEERING, AEROSPACE
Journal Article
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, ISSN 1073-7928, 02/2019, Volume 2019, Issue 3, pp. 761 - 798
We show that whenever a closed symplectic manifold admits a Hamiltonian diffeomorphism with finitely many simple periodic orbits, the manifold has a spherical... 
FLOER HOMOLOGY | MATHEMATICS | PERIODIC-ORBITS | ARNOLD CONJECTURE
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2017, Volume 263, Issue 11, pp. 7448 - 7474
This paper deals with the problem of periodic orbit bifurcations for high-dimensional piecewise smooth systems. Under the assumption that the unperturbed... 
Periodic orbit | Bifurcation | High-dimensional system | Melnikov function | MULTIPLE PARAMETERS | MATHEMATICS | LIMIT-CYCLE BIFURCATIONS | LOOPS | DIFFERENTIAL-SYSTEMS | NEAR-HAMILTONIAN SYSTEMS
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 06/2019, Volume 29, Issue 7, p. 1950097
The Sr 0 . 9 5 Ba 0 . 0 5 TiO 3 (SBT) nanometer film can be used as a physical memristive component. Three oscillatory circuits built on the physical SBT... 
periodic orbit | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | chaos | MULTIDISCIPLINARY SCIENCES | oscillatory circuit | Physical SBT memristor | quasi-periodic orbit
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 06/2018, Volume 128, pp. 32 - 37
In this paper we prove that the Bianchi models B do not have periodic solutions. 
Invariant hyperplanes | Bianchi cosmological models | Periodic orbits | MATHEMATICS | INTEGRABILITY | COSMOLOGICAL MODELS | SYSTEMS | PHYSICS, MATHEMATICAL
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 09/2019, Volume 267, Issue 6, pp. 3922 - 3951
This paper is concerned with the study of the criticality of families of planar centers. More precisely, we study sufficient conditions to bound the number of... 
Bifurcation | Period function | Center | Chebyshev system | Critical periodic orbit | Criticality
Journal Article
Physical Review Letters, ISSN 0031-9007, 12/2010, Volume 105, Issue 25, p. 254101
Stability of synchronization in delay-coupled networks of identical units generally depends in a complicated way on the coupling topology. We show that for... 
UNSTABLE PERIODIC-ORBITS | PHYSICS, MULTIDISCIPLINARY | Physics - Chaotic Dynamics
Journal Article
Indagationes Mathematicae, ISSN 0019-3577, 12/2016, Volume 27, Issue 5, pp. 1305 - 1336
The motion of Jupiter’s four Galilean satellites Io–Europa–Ganymedes–Callisto is subjected to an orbital 1:2:4–resonance of the former (and inner) three.... 
Periodic orbit | Quasi-periodic orbit | KAM theory | Celestial mechanics
Journal Article
Celestial Mechanics and Dynamical Astronomy, ISSN 0923-2958, 2014, Volume 120, Issue 4, pp. 373 - 400
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 12/2019, Volume 372, Issue 12, pp. 8933 - 8953
A cyclic permutation \pi :\{1, \dots , N\}\to \{1, \dots , N\} has a block structure if there is a partition of \{1, \dots , N\} into k\notin \{1,N\} segments... 
INTERVAL | MATHEMATICS | cyclic patterns | PERIODIC-ORBITS | forcing relation | Sharkovsky order
Journal Article
Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 12/2015, Volume 8, Issue 6, pp. 1165 - 1211
A generalized Friedmann-Robertson-Walker Hamiltonian system is studied in dimension 6. The averaging theory is the tool used to provide sufficient conditions... 
Friedmann-Robertson-Walker | Periodic orbits | Family of periodic orbits | Averaging theory | Periodic orbits parameterized by the energy | MATHEMATICS, APPLIED | COSMOLOGY | family of periodic orbits | FREQUENCY MAP ANALYSIS | GLOBAL DYNAMICS | periodic orbits parameterized by the energy | averaging theory
Journal Article
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