Results 31 to 40 of about 30,360 (174)
Hardy space of solutions of elliptic systems on the plane [PDF]
, 2009 The space indicated in the title is introduced and studiedyesBelgorod State ...
Soldatov, A. P.
core
On the relation between Lyapunov exponents and exponential decay of correlations [PDF]
, 2012 Chaotic dynamics with sensitive dependence on initial conditions may result in exponential decay of correlation functions. We show that for one-dimensional interval maps the corresponding quantities, that is, Lyapunov exponents and exponential decay rates are related.
arxiv +1 more source
Structural Control and Health Monitoring, Volume 2025, Issue 1, 2025.This paper proposes an innovative control method to reduce the seismic responses of nonlinear structures under the uncertainties of near‐ and far‐field earthquakes. This method is crucial for controlling the seismic response and ensuring structural stability.
Rasoul Sabetahd +2 more
wiley +1 more source
, 1997 We compute the diffusion coefficient and the Lyapunov exponent for a diffusive intermittent map by means of cycle expansion of dynamical zeta functions.
Dahlqvist, Per, Dettmann, Carl P.
core +1 more source
A piecewise ellipsoidal reachable set estimation method for continuous bimodal piecewise affine systems [PDF]
arXiv, 2021 In this work, the issue of estimation of reachable sets in continuous bimodal piecewise affine systems is studied. A new method is proposed, in the framework of ellipsoidal bounding, using piecewise quadratic Lyapunov functions. Although bimodal piecewise affine systems can be seen as a special class of affine hybrid systems, reachability methods ...
arxiv
IET Control Theory &Applications, Volume 18, Issue 16, Page 2203-2213, November 2024.Abstract This paper considers the event‐triggered adaptive fuzzy bipartite containment control problem for switched nonlinear multi‐agent systems (MASs) with actuator attacks. To handle the completely unknown nonlinear functions in the considered system, fuzzy logic systems (FLSs) are applied to approximate the unknown nonlinear functions. In addition,
Chao Liu +4 more
wiley +1 more source
The projection dynamic, the replicator dynamic and the geometry of population games [PDF]
, 2007 Every population game defines a vector field on the set of strategy distributions X. The projection dynamic maps each population game to a new vector field: namely, the one closest to the payoff vector field among those that never point outward from X.
Dokumaci, E., Lahkar, R., Sandholm, W.H.
core
Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas
, 2003 It is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is possible to control (reduce) the chaotic diffusion in the phase space of a Hamiltonian ...
A. Crisanti +17 more
core +3 more sources
Invariant measures for interval maps without Lyapunov exponents [PDF]
arXiv, 2021 We construct an invariant measure for a piecewise analytic interval map whose Lyapunov exponent is not defined. Moreover, for a set of full measure, the pointwise Lyapunov exponent is not defined. This map has a Lorenz-like singularity and non-flat critical points.
arxiv
Transient stability of grid following inverters: The impacts of damping and fault ride‐through
Energy Internet, Volume 1, Issue 2, Page 150-165, November 2024.Abstract The interaction of grid following inverters with a weak grid raises risks of transient instability. The effects of damping and fault‐ride through (FRT) make the transient dynamics more complicated. To investigate the impact of FRT on the transient stability of converters, this paper first employs the switch system theory to construct a ...
Qi Zhang +5 more
wiley +1 more source