Results 101 to 110 of about 115,141 (223)
Numerical Approximation of LYAPUNOV-Exponents for Quasiperiodic Motions
This paper proposes an approach to approximate the LYAPUNOV -spectrum of quasiperiodic flows on isolated invariant manifolds numerically. Once the invariant manifold has been determined, integrations over the infinite, one dimensional time interval – as ...
Fiedler Robert, Hetzler Hartmut
doaj +1 more source
Analysis of Pseudo-Lyapunov Exponents of Solar Convection Using State-of-the-Art Observations. [PDF]
Viavattene G +6 more
europepmc +1 more source
QG‐Python is an open, reproducible 1.5‐layer quasi‐geostrophic modelling service whose published diagnostics show that the classical von Neumann bound underestimates the true Leapfrog stability limit by a factor of 13.7, and that the Robert–Asselin–Williams filter reduces kinetic energy and enstrophy biases from ~21% and ~45% to under 4%.
Elias D. Nino‐Ruiz
wiley +1 more source
Codes for Approximating Lyapunov Exponents
We present a suite of codes for approximating Lyapunov exponents of nonlinear differential systems by so-called QR methods. The basic solvers perform integration of the trajectory and approximation of the Lyapunov exponents simultaneously.
Luca Dieci +2 more
core +1 more source
Hyperchaos Numerical Simulation and Control in a 4D Hyperchaotic System
A hyperchaotic system is introduced, and the complex dynamical behaviors of such system are investigated by means of numerical simulations. The bifurcation diagrams, Lyapunov exponents, hyperchaotic attractors, the power spectrums, and time charts are ...
Junhai Ma, Yujing Yang
doaj +1 more source
A Novel Measure Inspired by Lyapunov Exponents for the Characterization of Dynamics in State-Transition Networks. [PDF]
Sándor B +3 more
europepmc +1 more source
ABSTRACT This paper proposes a Machine Learning (ML)‐enabled estimator‐controller design framework, in which a parameterized Model Predictive Controller (MPC) and a parameterized Moving Horizon Estimator (MHE) are jointly refined using Bayesian Optimization (BO).
Hossein Nejatbakhsh Esfahani +1 more
wiley +1 more source
Symplectic Calculation of Lyapunov Exponents
The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic matrix. We make use of this fact to develop a new method for the calculation of Lyapunov exponents of such systems.
Habib, Salman, Ryne, Robert D.
openaire +3 more sources
Stochasticity of Galactic Orbits of Star Clusters
The Lyapunov, Lagrange and Poincaré criteria are tested for orbits of 461 open clusters in an axisymmetric potential. Lyapunov exponents and Poincaré sections are computed, and all of the trajectories are found to be stable according to the Lagrange and ...
Smirnova L. V.
doaj +1 more source
ABSTRACT This paper proposes a novel genetic algorithm‐based proportional–integral super‐twisting sliding mode control (GA‐PI‐ST‐SMC) strategy for the rotor‐side converter of a 1.5 MW doubly‐fed induction generator (DFIG) operating in marine renewable wind turbine (MRWT) systems.
Habib Benbouhenni +3 more
wiley +1 more source

