Computing two dimensional Poincaré maps for hyperchaotic dynamics
type: Item
instance of: scholarly article
title: Computing two dimensional Poincaré maps for hyperchaotic dynamics
zbMATH Open document ID: 1411.37036
author: Xianqiang Yang
published in: Applied Mathematics and Computation
publication date: 2019-03-28T00:00:00Z
full work available at URL: Computing two dimensional Poincaré maps for hyperchaotic dynamics.pdf
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 7044011
zbMATH Keywords: Poincaré map
zbMATH Keywords: hyperchaos
zbMATH Keywords: recurrence quantification
zbMATH Keywords: LE-I \& LE-II
zbMATH Keywords: mean recurrence time statistics
describes a project that uses: K2
MaRDI profile type: Publication
OpenAlex ID: W2564679858
cites work: Q3658782
cites work: Q2716089
cites work: Q4837103
cites work: Ergodic theory of chaos and strange attractors
cites work: Q3993559
cites work: Q3135098
cites work: Q3993219
cites work: An equation for hyperchaos
cites work: Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback controller
cites work: A novel hyperchaos system only with one equilibrium
cites work: The generation and circuit implementation of a new hyper-chaos based upon Lorenz system
cites work: Chaotic Scenario in the Stenflo Equations
cites work: Chaotic aspects of lasers with host-induced nonlinearity and its control
cites work: Hidden Attractors and Dynamical Behaviors in an Extended Rikitake System
cites work: Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system
cites work: Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
cites work: Dynamics of a hyperchaotic Lorenz-type system
cites work: A practical method for calculating largest Lyapunov exponents from small data sets
cites work: Determining Lyapunov exponents from a time series
cites work: On the numerical computation of Poincaré maps
cites work: An accelerated Poincaré-map method for autonomous oscillators
cites work: Some considerations on Poincaré maps for chaotic flows
cites work: Approximate discrete dynamics of EMG signal
cites work: Is one dimensional Poincaré map sufficient to describe the chaotic dynamics of a three dimensional system?
cites work: Recurrence plot analysis of DNA sequences
cites work: Detection of weak transitions in signal dynamics using recurrence time statistics
DOI: 10.1016/J.AMC.2016.12.026
description: scientific article; zbMATH DE number 7044011