TY - CHAP

T1 - Numerical visualization of attractors

T2 - Self-exciting and hidden attractors

AU - Kuznetsov, N.V.

AU - Leonov, G.A.

N1 - Publisher Copyright: © 2016 by Taylor & Francis Group, LLC.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - An oscillation in a dynamical system can be easily localized numerically if initial conditions from its open neighborhood in the phase space (with the exception of a minor set of points of measure zero) lead to longtime behavior that approaches the oscillation. From a computational point of view, such an oscillation (or a set of oscillations) is called an attractor and its attracting set is called a basin of attraction (i.e., a set of initial data for which the trajectories numerically tend to the attractor).

AB - An oscillation in a dynamical system can be easily localized numerically if initial conditions from its open neighborhood in the phase space (with the exception of a minor set of points of measure zero) lead to longtime behavior that approaches the oscillation. From a computational point of view, such an oscillation (or a set of oscillations) is called an attractor and its attracting set is called a basin of attraction (i.e., a set of initial data for which the trajectories numerically tend to the attractor).

UR - http://www.scopus.com/inward/record.url?scp=85014099353&partnerID=8YFLogxK

U2 - 10.1201/b20232

DO - 10.1201/b20232

M3 - Chapter

SN - 9781466590434

SP - 135

EP - 143

BT - Handbook of Applications of Chaos Theory

PB - Taylor & Francis

ER -