On choosing state variables for piecewise-smooth dynamical system simulations
نویسندگان
چکیده
منابع مشابه
Hidden Degeneracies in Piecewise Smooth Dynamical Systems
When a flow suffers a discontinuity in its vector field at some switching surface, the flow can cross through or slide along the surface. Sliding can be understood as the flow along an invariant manifold inside a switching layer. It turns out that the usual method for finding sliding modes – the Filippov convex combination or Utkin equivalent control – results in a degeneracy in the switching l...
متن کاملDiscontinuity-induced bifurcations of piecewise smooth dynamical systems.
This paper presents an overview of the current state of the art in the analysis of discontinuity-induced bifurcations (DIBs) of piecewise smooth dynamical systems, a particularly relevant class of hybrid dynamical systems. Firstly, we present a classification of the most common types of DIBs involving non-trivial interactions of fixed points and equilibria of maps and flows with the manifolds i...
متن کاملScheduled Review Methods for Controllable State Variables
In many real systems in which a state variable should be controlled for being in appropriate range, the length of control (review) intervals is taken to be constant. In such systems, when the cost of reviews and out-of-range values of the state variable are considerable, this method may not be optimal. In this paper we let the length of review intervals to be variable during each operating cycl...
متن کاملOptimized State Model of Piecewise-Linear Dynamical Systems
The conditions for an optimized design of the second dynamical system having low eigenvalue sensitivities are directly derived. Their more general form is in accordance with the previous results obtained by using linear topological conjugacy. has the roots given by 2 1 21 12 22 11 2 1 22 11 , λ λ a a a a λ λ a a = − + = + . (3a,b) The relative eigenvalue sensitivities with respect to the indivi...
متن کاملMETAGUI 3: A graphical user interface for choosing the collective variables in molecular dynamics simulations
Molecular dynamics (MD) simulations allow the exploration of the phase space of biopolymers through the integration of equations of motion of their constituent atoms. The analysis of MD trajectories often relies on the choice of collective variables (CVs) along which the dynamics of the system is projected. We developed a graphical user interface (GUI) for facilitating the interactive choice of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2018
ISSN: 0924-090X,1573-269X
DOI: 10.1007/s11071-018-4622-2