Results 51 to 60 of about 436,415 (124)
Matrix Quantization of Turbulence
, 2011 Based on our recent work on Quantum Nambu Mechanics $\cite{af2}$, we provide an explicit quantization of the Lorenz chaotic attractor through the introduction of Non-commutative phase space coordinates as Hermitian $ N \times N $ matrices in $ R^{3 ...
Axenides M. +10 more
core +1 more source
Chimera-like states in an ensemble of globally coupled oscillators
, 2014 We demonstrate emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in locally coupled oscillator lattices.
Pikovsky, Arkady +2 more
core +1 more source
, 2003 We introduce the concept of regular quantum graphs and construct connected quantum graphs with discrete symmetries. The method is based on a decomposition of the quantum propagator in terms of permutation matrices which control the way incoming and ...
Bang-Jensen J +13 more
core +2 more sources
Newtonian vs. relativistic chaotic scattering [PDF]
arXiv, 2010 It is shown that Newtonian mechanics is not appropriate to compute approximate individual trajectories with small velocities in chaotic scattering. However, some global properties of the dynamical system, such as the dimension of the non-attracting chaotic invariant set, are more robust and the Newtonian approximation provides reasonably accurate ...
arxiv
The Fractality of the Hydrodynamic Modes of Diffusion
, 2000 Transport by normal diffusion can be decomposed into the so-called hydrodynamic modes which relax exponentially toward the equilibrium state. In chaotic systems with two degrees of freedom, the fine scale structure of these hydrodynamic modes is singular
Claus, I. +3 more
core +1 more source
Transient hidden chaotic attractors in a Hopfield neural system [PDF]
arXiv, 2016 In this letter we unveil the existence of transient hidden coexisting chaotic attractors, in a simplified Hopfield neural network with three neurons.
arxiv
Fidelity Decay as an Efficient Indicator of Quantum Chaos
, 2002 Recent work has connected the type of fidelity decay in perturbed quantum models to the presence of chaos in the associated classical models. We demonstrate that a system's rate of fidelity decay under repeated perturbations may be measured efficiently ...
C. Zalka +12 more
core +1 more source
Spectral properties of quantized barrier billiards
, 2002 The properties of energy levels in a family of classically pseudointegrable systems, the barrier billiards, are investigated. An extensive numerical study of nearest-neighbor spacing distributions, next-to-nearest spacing distributions, number variances,
A. Hobson +37 more
core +1 more source
The effects of additive noise and drift in the dynamics of the driving on chaotic synchronization [PDF]
arXiv, 1994 Analysis of effects of noise and drift on chaotic synchronization. To appear in Physics Letters.
arxiv
Periodic, Quasi-periodic and Chaotic Dynamics in Simple Gene Elements with Time Delays
Scientific Reports, 2016 Regulatory gene circuit motifs play crucial roles in performing and maintaining vital cellular functions. Frequently, theoretical studies of gene circuits focus on steady-state behaviors and do not include time delays.
Yoko Suzuki +3 more
semanticscholar +1 more source