TITLE

Extracting dynamics from return times

AUTHOR(S)
Pavlov, Alexey N.; Mosekilde, Erik; Anishchenko, Vadim S.
PUB. DATE
February 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p611
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This work examines the possibility of extracting dynamics from a sequence of return times. We show that the largest Lyapunov exponent can be estimated with good accuracy from a given time sequence provided that the average value of the time intervals does not exceed the prediction time. Moreover, this estimate is often relatively insensitive to the choice of a sccant plane. © 2000 American Institute of Physics.
ACCESSION #
6028495

 

Related Articles

  • Dynamics of particles in the steady flows of an inviscid fluid. Druzhinin, O. A.; Ostrovsky, L. A. // Chaos;Jul93, Vol. 3 Issue 3, p359 

    Studies the dynamics of particles in the steady flows of an inviscid fluid. Equations of motion and some exact solutions; Dynamics of a particle in axisymmetric flows; Dynamics of particles in a cellular flow; Symmetry of Lyapuniv exponents.

  • Lyapunov instability of two-dimensional fluids: Hard dumbbells. Milanovic, Lj.; Posch, H.A.; Hoover, Wm. G. // Chaos;Jun98, Vol. 8 Issue 2, p455 

    Generalizes Benettin's classical algorithm for the computation of the full Lyapunov spectrum to the case of a two-dimensional fluid composed of linear molecules modeled as hard dumbbells. Model for a diatomic fluid in two dimensions; Interaction according to classical mechanics;...

  • Chaotic dynamics of heavy particle dispersion: Fractal dimension versus dispersion coefficients. Wang, Lian-Ping; Burton, Thomas D.; Stock, David E. // Physics of Fluids A;Aug90, Vol. 2 Issue 8, p1305 

    The chaotic dynamics of Lagrangian motion of particles in a steady Arnold�Beltrami�Childress (ABC) flow and a pseudoturbulence are investigated and the Lyapunov exponents and fractal dimensions of particle trajectories for different particle inertia and particle drift velocity are...

  • Instability criteria for steady flows of a perfect fluid. Friedlander, Susan; Vishik, Misha M. // Chaos;Jul92, Vol. 2 Issue 3, p455 

    Examines stability of the Euler equations governing the motion of an inviscid incompressible fluid. Utilization of an instability criterion based on the positivity of a Lyapunov-type exponent; Problem of hydrodynamic stability; Exponential stretching of fluid particles; Case of integrable flows...

  • Small-scale structure of nonlinearly interacting species advected by chaotic flows. Herna´ndez-Garcı´a, Emilio; Lo´pez, Cristo´bal; Neufeld, Zolta´n // Chaos;Jun2002, Vol. 12 Issue 2, p470 

    We study the spatial patterns formed by interacting biological populations or reacting chemicals under the influence of chaotic flows. Multiple species and nonlinear interactions are explicitly considered, as well as cases of smooth and nonsmooth forcing sources. The small-scale structure can be...

  • Dynamics of a System Associated with a Piecewise Quadratic Family. López Buriticá, Karen; Casanova Trujillo, Simeon; Acosta Medina, Carlos Daniel // Ciencia en Desarrollo;jul-dic2016, Vol. 7 Issue 2, p125 

    This paper presents a study, both in analytical and numerical form, of a discrete dynamical system associated with a piecewise quadratic family. The orbits of periods one and two were characterized, and their stability was established. The nonsmooth phenomenon known as border collision is...

  • Spectrum of Lyapunov exponents of non-smooth dynamical systems of integrate-and-fire type. Zhou, Douglas; Sun, Yi; Rangan, Aaditya V.; Cai, David // Journal of Computational Neuroscience;Apr2010, Vol. 28 Issue 2, p229 

    We discuss how to characterize long-time dynamics of non-smooth dynamical systems, such as integrate-and-fire (I&F) like neuronal network, using Lyapunov exponents and present a stable numerical method for the accurate evaluation of the spectrum of Lyapunov exponents for this large class of...

  • Influence of noise on the behavior of oscillators near the synchronization boundary. Koronovskii, A. A.; Kurovskaya, M. K.; Hramov, A. E.; Shurygina, S. A. // Technical Physics;Oct2009, Vol. 54 Issue 10, p1403 

    Nonautonomous behavior of oscillators in the presence of noise is considered. The influence of noise on the dynamics of local zero Lyapunov exponents for nonautonomous dynamic systems that are near the synchronization boundary is considered. It is shown that the action of noise on a...

  • Lyapunov Mode Dynamics in Hard-Disk Systems. Robinson, D. J.; Morriss, G. P. // Journal of Statistical Physics;Apr2008, Vol. 131 Issue 1, p1 

    The tangent dynamics of the Lyapunov modes and their dynamics as generated numerically� the numerical dynamics�is considered. We present a new phenomenological description of the numerical dynamical structure that accurately reproduces the experimental data for the...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics