Results 101 to 110 of about 178,428 (365)
Basin entropy as an indicator of a bifurcation in a time-delayed system. [PDF]
ChaosThe basin entropy is a measure that quantifies, in a system that has two or more attractors, the predictability of a final state, as a function of the initial conditions. While the basin entropy has been demonstrated on a variety of multistable dynamical
Juan P Tarigo +3 more
semanticscholar +1 more source
Critical fluctuations of noisy period-doubling maps
, 2017 We extend the theory of quasipotentials in dynamical systems by calculating, within a broad class of period-doubling maps, an exact potential for the critical fluctuations of pitchfork bifurcations in the weak noise limit.
Hastings, Alan +3 more
core +1 more source
Precision Nanoconfined Self‐Assembly of ACQ Carbon Dots for Enhanced Solid‐State Fluorescence
Advanced Science, EarlyView.Star‐liked polymer unimolecular micelles are used as a general and robust nanoconfined scaffold template to fabricate structurally ultra‐stable and solid‐state fluorescence CDs assemblies via the conduction of ACQ‐to‐Solid state fluorescence transition process with ACQ CDs as the building units, which realized potential applications in detecting latent
Jingyi Hao +11 more
wiley +1 more source
Dynamic Behavior and Bifurcation Analysis of a Modified Reduced Lorenz Model
MathematicsThis study introduces a newly modified Lorenz model capable of demonstrating bifurcation within a specified range of parameters. The model demonstrates various bifurcation behaviors, which are depicted as distinct structures in the diagram.
Mohammed O. Al-Kaff +4 more
doaj +1 more source
Pitchfork bifurcation and heteroclinic connections in the Kuramoto--Sivashinsky PDE [PDF]
arXiv, 2023 We present a method for the complete analysis of the dynamics of dissipative Partial Differential Equations (PDEs) undergoing a pitchfork bifurcation. We apply our technique to the Kuramoto--Sivashinsky PDE on the line to obtain a computer-assisted proof of the creation of two symmetric branches of non-symmetric fixed points and heteroclinic ...
arxiv
, 2018 In the model system of two instantaneously and symmetrically coupled identical Stuart-Landau oscillators we demonstrate that there exist stable solutions with symmetry-broken amplitude- and phase-locking.
Lüdge, Kathy +2 more
core +1 more source
CeiTEA: Adaptive Hierarchy of Single Cells with Topological Entropy
Advanced Science, EarlyView.CeiTEA, a novel hierarchical clustering algorithm based on topological entropy, effectively captures complex structures underlying data. By constructing an adaptive multi‐nary partition tree, CeiTEA reveals hierarchical structures and local diversifications, outperforming existing methods in clustering accuracy and consistency and providing the ...
Bowen Tan +3 more
wiley +1 more source
The driven-dissipative Bose–Hubbard dimer: phase diagram and chaos
New Journal of Physics, 2020 We present the phase diagram of the mean-field driven-dissipative Bose–Hubbard dimer model. For a dimer with repulsive on-site interactions ( U > 0) and coherent driving, we prove that ${{\mathbb{Z}}}_{2}$ -symmetry breaking, via pitchfork bifurcations ...
Andrus Giraldo +4 more
doaj +1 more source
Classification of solitary wave bifurcations in generalized nonlinear Schrödinger equations [PDF]
arXiv, 2012 Bifurcations of solitary waves are classified for the generalized nonlinear Schr\"odinger equations with arbitrary nonlinearities and external potentials in arbitrary spatial dimensions. Analytical conditions are derived for three major types of solitary wave bifurcations, namely saddle-node bifurcations, pitchfork bifurcations and transcritical ...
arxiv
Bifurcations and Transitions to Chaos in An Inverted Pendulum
, 1998 We consider a parametrically forced pendulum with a vertically oscillating suspension point. It is well known that, as the amplitude of the vertical oscillation is increased, its inverted state (corresponding to the vertically-up configuration) undergoes
Hu, Bambi, Kim, Sang-Yoon
core +1 more source