Global modeling of the Rössler system from the \(z\)-variable

DOI10.1016/S0375-9601(03)00912-5zbMath1038.37063MaRDI QIDQ1397732

Christophe Letellier, Claudia Lainscsek, Irina Gorodnitsky

Publication date: 3 August 2003

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

state variablesanalytic maptime-series

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10)

Related Items (18)

Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors ⋮ A Chaotic Hyperjerk System Based on Memristive Device ⋮ Delay Differential Analysis of Time Series ⋮ AN ALGEBRAIC APPROACH FOR THE RECONSTRUCTION OF CHUA'S SYSTEM ⋮ Can the original equations of a dynamical system be retrieved from observational time series? ⋮ Assessing observability of chaotic systems using Delay Differential Analysis ⋮ Using global modeling to unveil hidden couplings in small network motifs ⋮ Low dimensional chaotic models for the plague epidemic in Bombay (1896--1911) ⋮ Global modeling of aggregated and associated chaotic dynamics ⋮ Hyperchaotic attractor in a novel hyperjerk system with two nonlinearities ⋮ How the choice of the observable may influence the analysis of nonlinear dynamical systems ⋮ Chaotic hyperjerk systems ⋮ On the algebraic reconstruction of the Duffing's mechanical system ⋮ A class of Lorenz-like systems ⋮ Electrocardiogram classification using delay differential equations ⋮ Discovering independent parameters in complex dynamical systems ⋮ Analytic reconstruction of some dynamical systems ⋮ Two chaotic global models for cereal crops cycles observed from satellite in northern Morocco

Cites Work

• Phase space reconstruction for symmetric dynamical systems
• Extracting qualitative dynamics from experimental data
• An analytic approach to practical state space reconstruction
• Embedology
• State space reconstruction parameters in the analysis of chaotic time series - the role of the time window length
• Embedding as a modeling problem
• An equation for continuous chaos
• On the non-equivalence of observables in phase-space reconstructions from recorded time series
• Structure-selection techniques applied to continuous-time nonlinear models
• Unnamed Item
• Unnamed Item

This page was built for publication: Global modeling of the Rössler system from the \(z\)-variable