Analytical prediction of the transition to chaos in Lorenz equations
type: Item
instance of: scholarly article
title: Analytical prediction of the transition to chaos in Lorenz equations
zbMATH Open document ID: 1185.37087
author: P. Vadasz
published in: Applied Mathematics Letters
publication date: 2010-05-05T00:00:00Z
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 5704035
zbMATH Keywords: chaos
zbMATH Keywords: Lorenz equations
zbMATH Keywords: analytical solution
zbMATH Keywords: transition to chaos
MaRDI profile type: Publication
full work available at URL: j.aml.2009.12.012
OpenAlex ID: W2017496109
cites work: Deterministic Nonperiodic Flow
cites work: The Lorenz equations: bifurcations, chaos, and strange attractors
cites work: Regular and chaotic dynamics.
cites work: Q3212820
cites work: Rendering a subcritical Hopf bifurcation supercritical
cites work: Convergence and accuracy of Adomian's decomposition method for the solution of Lorenz equations
cites work: Equivalent initial conditions for compatibility between analytical and computational solutions of convection in porous media
cites work: Subcritical transitions to chaos and hysteresis in a fluid layer heated from below
cites work: On the homoclinic orbit for convection in a fluid layer heated from below
cites work: Transitions and chaos for free convection in a rotating porous layer
cites work: Coriolis effect on gravity-driven convection in a rotating porous layer heated from below
cites work: A sharp nonlinear stability threshold in rotating porous convection
cites work: A review of the decomposition method in applied mathematics
cites work: Solving frontier problems of physics: the decomposition method
cites work: An Accurate Solution to the Multispecies Lotka–Volterra Equations
DOI: 10.1016/J.AML.2009.12.012
Recommended article: Q3461708
Recommended article: Q3464800
Recommended article: Analysis of a Lorenz-like chaotic system by Lyapunov functions
Recommended article: Toward Analytical Chaos in Nonlinear Systems
Recommended article: Predicting the chaos and solution bounds in a complex dynamical system
Recommended article: ANALYSIS OF HYPERCHAOTIC COMPLEX LORENZ SYSTEMS
Recommended article: Dynamical analysis and numerical simulation of a new Lorenz-type chaotic system
Recommended article: Dynamical analysis and simulation of a new Lorenz-like chaotic system
Recommended article: An approximate analytic solution of the Lorenz equations
Recommended article: REGULAR AND CHAOTIC DYNAMICS OF THE LORENZ–STENFLO SYSTEM
description: scientific article; zbMATH DE number 5704035