126 related articles for article (PubMed ID: 34781491)
1. Dynamical system analysis of a data-driven model constructed by reservoir computing.
Kobayashi MU; Nakai K; Saiki Y; Tsutsumi N
Phys Rev E; 2021 Oct; 104(4-1):044215. PubMed ID: 34781491
[TBL] [Abstract][Full Text] [Related]
2. Analyses of transient chaotic time series.
Dhamala M; Lai YC; Kostelich EJ
Phys Rev E Stat Nonlin Soft Matter Phys; 2001 Nov; 64(5 Pt 2):056207. PubMed ID: 11736054
[TBL] [Abstract][Full Text] [Related]
3. 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]
4. 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]
5. Chaotic bursting at the onset of unstable dimension variability.
Viana RL; Pinto SE; Grebogi C
Phys Rev E Stat Nonlin Soft Matter Phys; 2002 Oct; 66(4 Pt 2):046213. PubMed ID: 12443305
[TBL] [Abstract][Full Text] [Related]
6. Manifold structures of unstable periodic orbits and the appearance of periodic windows in chaotic systems.
Kobayashi MU; Saiki Y
Phys Rev E Stat Nonlin Soft Matter Phys; 2014 Feb; 89(2):022904. PubMed ID: 25353542
[TBL] [Abstract][Full Text] [Related]
7. Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits.
Ding X; Chaté H; Cvitanović P; Siminos E; Takeuchi KA
Phys Rev Lett; 2016 Jul; 117(2):024101. PubMed ID: 27447508
[TBL] [Abstract][Full Text] [Related]
8. Analyzing lyapunov spectra of chaotic dynamical systems.
Diakonos FK; Pingel D; Schmelcher P
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics; 2000 Sep; 62(3 Pt B):4413-6. PubMed ID: 11088976
[TBL] [Abstract][Full Text] [Related]
9. Attractor reconstruction with reservoir computers: The effect of the reservoir's conditional Lyapunov exponents on faithful attractor reconstruction.
Hart JD
Chaos; 2024 Apr; 34(4):. PubMed ID: 38579149
[TBL] [Abstract][Full Text] [Related]
10. Data-driven modeling and forecasting of chaotic dynamics on inertial manifolds constructed as spectral submanifolds.
Liu A; Axås J; Haller G
Chaos; 2024 Mar; 34(3):. PubMed ID: 38531092
[TBL] [Abstract][Full Text] [Related]
11. 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]
12. 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]
13. Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data.
Pathak J; Lu Z; Hunt BR; Girvan M; Ott E
Chaos; 2017 Dec; 27(12):121102. PubMed ID: 29289043
[TBL] [Abstract][Full Text] [Related]
14. Noise-induced unstable dimension variability and transition to chaos in random dynamical systems.
Lai YC; Liu Z; Billings L; Schwartz IB
Phys Rev E Stat Nonlin Soft Matter Phys; 2003 Feb; 67(2 Pt 2):026210. PubMed ID: 12636779
[TBL] [Abstract][Full Text] [Related]
15. Mixed-coexistence of periodic orbits and chaotic attractors in an inertial neural system with a nonmonotonic activation function.
Song ZG; Xu J; Zhen B
Math Biosci Eng; 2019 Jul; 16(6):6406-6425. PubMed ID: 31698569
[TBL] [Abstract][Full Text] [Related]
16. Forecasting Fluid Flows Using the Geometry of Turbulence.
Suri B; Tithof J; Grigoriev RO; Schatz MF
Phys Rev Lett; 2017 Mar; 118(11):114501. PubMed ID: 28368628
[TBL] [Abstract][Full Text] [Related]
17. Symbolic diffusion entropy rate of chaotic time series as a surrogate measure for the largest Lyapunov exponent.
Shiozawa K; Miyano T
Phys Rev E; 2019 Sep; 100(3-1):032221. PubMed ID: 31639895
[TBL] [Abstract][Full Text] [Related]
18. Self-consistent chaotic transport in fluids and plasmas.
Del-Castillo-Negrete D
Chaos; 2000 Mar; 10(1):75-88. PubMed ID: 12779364
[TBL] [Abstract][Full Text] [Related]
19. 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]
20. Controlling chaotic maps using next-generation reservoir computing.
Kent RM; Barbosa WAS; Gauthier DJ
Chaos; 2024 Feb; 34(2):. PubMed ID: 38305050
[TBL] [Abstract][Full Text] [Related]
[Next] [New Search]