554 related articles for article (PubMed ID: 19257096)
1. Time-averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems.
Saiki Y; Yamada M
Phys Rev E Stat Nonlin Soft Matter Phys; 2009 Jan; 79(1 Pt 2):015201. PubMed ID: 19257096
[TBL] [Abstract][Full Text] [Related]
2. Reconstruction of chaotic saddles by classification of unstable periodic orbits: Kuramoto-Sivashinsky equation.
Saiki Y; Yamada M; Chian AC; Miranda RA; Rempel EL
Chaos; 2015 Oct; 25(10):103123. PubMed ID: 26520089
[TBL] [Abstract][Full Text] [Related]
3. Statistics of unstable periodic orbits of a chaotic dynamical system with a large number of degrees of freedom.
Kawasaki M; Sasa S
Phys Rev E Stat Nonlin Soft Matter Phys; 2005 Sep; 72(3 Pt 2):037202. PubMed ID: 16241619
[TBL] [Abstract][Full Text] [Related]
4. Comment on "Time-averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems".
Zaks MA; Goldobin DS
Phys Rev E Stat Nonlin Soft Matter Phys; 2010 Jan; 81(1 Pt 2):018201; discussion 018202. PubMed ID: 20365510
[TBL] [Abstract][Full Text] [Related]
5. Statistical characteristics, circulation regimes and unstable periodic orbits of a barotropic atmospheric model.
Gritsun A
Philos Trans A Math Phys Eng Sci; 2013 May; 371(1991):20120336. PubMed ID: 23588051
[TBL] [Abstract][Full Text] [Related]
6. Network analysis of chaotic systems through unstable periodic orbits.
Kobayashi MU; Saiki Y
Chaos; 2017 Aug; 27(8):081103. PubMed ID: 28863482
[TBL] [Abstract][Full Text] [Related]
7. Locating unstable periodic orbits: when adaptation integrates into delayed feedback control.
Lin W; Ma H; Feng J; Chen G
Phys Rev E Stat Nonlin Soft Matter Phys; 2010 Oct; 82(4 Pt 2):046214. PubMed ID: 21230372
[TBL] [Abstract][Full Text] [Related]
8. Detecting unstable periodic orbits in chaotic continuous-time dynamical systems.
Pingel D; Schmelcher P; Diakonos FK
Phys Rev E Stat Nonlin Soft Matter Phys; 2001 Aug; 64(2 Pt 2):026214. PubMed ID: 11497684
[TBL] [Abstract][Full Text] [Related]
9. Lyapunov exponents from unstable periodic orbits.
Franzosi R; Poggi P; Cerruti-Sola M
Phys Rev E Stat Nonlin Soft Matter Phys; 2005 Mar; 71(3 Pt 2A):036218. PubMed ID: 15903557
[TBL] [Abstract][Full Text] [Related]
10. Detecting and controlling unstable periodic orbits that are not part of a chaotic attractor.
Perc M; Marhl M
Phys Rev E Stat Nonlin Soft Matter Phys; 2004; 70(1 Pt 2):016204. PubMed ID: 15324149
[TBL] [Abstract][Full Text] [Related]
11. Decomposing the dynamics of the Lorenz 1963 model using unstable periodic orbits: Averages, transitions, and quasi-invariant sets.
Maiocchi CC; Lucarini V; Gritsun A
Chaos; 2022 Mar; 32(3):033129. PubMed ID: 35364825
[TBL] [Abstract][Full Text] [Related]
12. Detecting unstable periodic orbits in high-dimensional chaotic systems from time series: reconstruction meeting with adaptation.
Ma H; Lin W; Lai YC
Phys Rev E Stat Nonlin Soft Matter Phys; 2013 May; 87(5):050901. PubMed ID: 23767476
[TBL] [Abstract][Full Text] [Related]
13. A dynamical systems approach to the control of chaotic dynamics in a spatiotemporal jet flow.
Narayanan S; Gunaratne GH; Hussain F
Chaos; 2013 Sep; 23(3):033133. PubMed ID: 24089969
[TBL] [Abstract][Full Text] [Related]
14. Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method.
Azimi S; Ashtari O; Schneider TM
Phys Rev E; 2022 Jan; 105(1-1):014217. PubMed ID: 35193314
[TBL] [Abstract][Full Text] [Related]
15. Automatic control and tracking of periodic orbits in chaotic systems.
Ando H; Boccaletti S; Aihara K
Phys Rev E Stat Nonlin Soft Matter Phys; 2007 Jun; 75(6 Pt 2):066211. PubMed ID: 17677344
[TBL] [Abstract][Full Text] [Related]
16. Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits.
Suri B; Kageorge L; Grigoriev RO; Schatz MF
Phys Rev Lett; 2020 Aug; 125(6):064501. PubMed ID: 32845663
[TBL] [Abstract][Full Text] [Related]
17. Invariant tori in dissipative hyperchaos.
Parker JP; Schneider TM
Chaos; 2022 Nov; 32(11):113102. PubMed ID: 36456339
[TBL] [Abstract][Full Text] [Related]
18. Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation.
Pereira RF; de S Pinto SE; Viana RL; Lopes SR; Grebogi C
Chaos; 2007 Jun; 17(2):023131. PubMed ID: 17614685
[TBL] [Abstract][Full Text] [Related]
19. Reliability of unstable periodic orbit based control strategies in biological systems.
Mishra N; Hasse M; Biswal B; Singh HP
Chaos; 2015 Apr; 25(4):043104. PubMed ID: 25933652
[TBL] [Abstract][Full Text] [Related]
20. Unstable periodic orbits and noise in chaos computing.
Kia B; Dari A; Ditto WL; Spano ML
Chaos; 2011 Dec; 21(4):047520. PubMed ID: 22225394
[TBL] [Abstract][Full Text] [Related]
[Next] [New Search]