Results 1 to 10 of about 29,957 (118)
Local symmetries in the period-doubling sequence
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David Damanik
exaly +2 more sources
Hankel matrices for the period-doubling sequence
We give an explicit evaluation, in terms of products of Jacobsthal numbers, of the Hankel determinants of order a power of two for the period-doubling sequence. We also explicitly give the eigenvalues and eigenvectors of the corresponding Hankel matrices. Similar considerations give the Hankel determinants for other orders.
Jeffrey Shallit
exaly +3 more sources
Quasi-Discrete Time Crystals in the Quasiperiodically Driven Lipkin–Meshkov–Glick Model [PDF]
A discrete time crystal (DTC) is a remarkable non-equilibrium phase of matter characterized by the persistent sub-harmonic oscillations of physical observables in periodically driven many-body systems. Motivated by the question of whether such a temporal
Sk Anisur +2 more
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Period-doubling in discrete relative spatial dynamics and the Feigenbaum sequence
The authors extend investigations of M. Feigenbaum and R. Helleman. They show that the Feigenbaum sequence found in period-doubling cycles of discrete maps and generally attributed to parameters ought to be attributed to the slopes of their corresponding Poincaré maps.
M Sonis
exaly +3 more sources
Asymmetry- and Viscosity-Regulated Atomization of Laminar Impinging Microjets: Morphology Map, Modal Dynamics, and Droplet Statistics [PDF]
Despite decades of studies on symmetric impinging-jet atomization, the combined role of controlled pre-impingement asymmetry and viscosity in setting the instability pathways and droplet statistics of laminar microjets remains insufficiently quantified ...
Xiaoyu Tan +3 more
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Bifurcations and spectral pulsations in ultrafast fiber lasers [PDF]
We employ real-time spectral measurements to investigate the transitions from the stable mode locking to period doubling and long-period pulsations. We highlight the role of self-phase modulation as a general mechanism triggering period-2 bifurcations ...
Coillet Aurélien +4 more
doaj +1 more source
Simple mathematical tools are needed to quantify the threat posed by emerging and re-emerging infectious disease outbreaks using minimal data capturing the outbreak trajectory.
Alexandra Smirnova +2 more
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Erbium - doped fiber laser systems: Routes to chaos [PDF]
Erbium-doped fiber laser systems exhibit a large variety of complex dynamical behaviors, bifurcations and attractors. In this paper, the chaotic behavior which can be achieved under certain conditions in a laser system with erbium-doped fiber ...
Rubežić Vesna, Jovanović Ana
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In this work, we numerically study the behaviour of the single-mode homogeneously broadened laser versus a large perturbation of the steady state. Periodic behaviour develops for suitable values of the ratio of the population decay rates ℘\wp , which has
Ayadi Samia +2 more
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Bifurcations and Structures of the Parameter Space of a Discrete-Time SIS Epidemic Model
The dynamics of a discrete-time SIS epidemic model are reported in this paper. Three types of codimension one bifurcation, namely, transcritical, flip, Neimark–Sacker (N-S) bifurcations, and their intersection codimension two bifurcations including 1 : 2,
Yun Liu, Xijuan Liu
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