Results 61 to 70 of about 83,867 (245)
Continuous quasiperiodic Schr\"odinger operators with Gordon type potentials
, 2018 Let us concern the quasi-periodic Schr\"odinger operator in the continuous case, \begin{equation*} (Hy)(x)=-y^{\prime\prime}(x)+V(x,\omega x)y(x), \end{equation*} where $V:(\R/\Z)^2\to \R$ is piecewisely $\gamma$-H\"older continuous with respect to the
Liu, Wencai
core +1 more source
Controlling Dynamical Systems Into Unseen Target States Using Machine Learning
Advanced Intelligent Systems, EarlyView.Parameter‐aware next‐generation reservoir computing enables efficient, data‐driven control of dynamical systems across unseen target states and nonstationary transitions. The approach suppresses transient behavior while navigating system collapse scenarios with minimal training data—over an order of magnitude less than traditional methods.
Daniel Köglmayr +2 more
wiley +1 more source
Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation
مجلة علوم ذي قار, 2019 this paper studied the bifurcation solutions of elastic beams equation by using Lyapunov-Schmidt method. The bifurcation equation corresponding to the elastic beams equation has been found.
M.J. Mohammed
doaj +4 more sources
Lyapunov-Sylvesters operators for (2+1)-Boussinesq equation
Electronic Journal of Differential Equations, 2016 This article studies a technique for solving a two-dimensional Boussinesq equation discretized using a finite difference method. It consists of an order reduction method into a coupled system of second-order equations, and to formulate the fully ...
Abdelhamid Bezia +2 more
doaj
Material‐Based Intelligence: Autonomous Adaptation and Embodied Computation in Physical Substrates
Advanced Intelligent Systems, EarlyView.This perspective formulates a unifying framework for Material‐Based Intelligence (MBI), defining the physical requirements for materials to achieve embodied action, active memory and embodied information processing through intrinsic nonequilibrium dynamics. The design of intelligent materials often draws parallels with the complex adaptive behaviors of
Vladimir A. Baulin +4 more
wiley +1 more source
Advances in Difference Equations, 2007 Stochastic difference second-kind Volterra equation with continuous time and small nonlinearity is considered. Via the general method of Lyapunov functionals construction, sufficient conditions for uniform mean square summability of solution ...
Beatrice Paternoster, Leonid Shaikhet
doaj +2 more sources
Analytic Lyapunov exponents in a classical nonlinear field equation
, 2000 It is shown that the nonlinear wave equation $\partial_t^2\phi - \partial^2_x \phi -\mu_0\partial_x(\partial_x\phi)^3 =0$, which is the continuum limit of the Fermi-Pasta-Ulam (FPU) beta model, has a positive Lyapunov exponent lambda_1, whose analytic ...
Franzosi, Roberto +3 more
core +1 more source
Complexity Analysis of Bubble Plumes in Power Law Fluids Based on Chaos Theory
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT In order to reveal the complexity of the internal flow of bubble plume in power law fluid, the flow characteristics and chaotic characteristics of plume are studied by experiment and theory. The chaotic characteristic parameters (correlation dimension D, K entropy, and Lyapunov exponent λ) of gas velocity under different superficial gas ...
Xin Dong +6 more
wiley +1 more source
, 2007 We study which and how a periodic orbit in phase space links to both the largest Lyapunov exponent and the expectation values of macroscopic variables in a Hamiltonian system with many degrees of freedom.
Goto, Shin-itiro
core +1 more source
Asian Journal of Control, EarlyView.Abstract This paper tackles the problem of robust and accurate fixed‐time tracking in human–robot interaction and deals with uncertainties. This work introduces a control approach for a wearable exoskeleton designed specifically for rehabilitation tasks.
Mahmoud Abdallah +4 more
wiley +1 more source