NONSTANDARD DISCRETIZATION SCHEMES APPLIED TO THE CONSERVATIVE HÉNON–HEILES SYSTEM

DOI10.1142/S0218127407017616zbMath1141.37381MaRDI QIDQ3499163

Ronald E. Mickens, Christophe Letellier, Eduardo M. A. M. Mendes

Publication date: 28 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

conservative systemsdiscretization schemes

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

NSFD representations for polynomial terms appearing in the potential functions of 1-dimensional conservative systems ⋮ On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer ⋮ Exploiting multiple-frequency bursting of a shape memory oscillator

Cites Work

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• Geometric integration of conservative polynomial ODEs
• On the nonlinear stability of symplectic integrators
• Difference equations versus differential equations, a possible equivalence for the Rössler system?
• A NON-STANDARD FINITE-DIFFERENCE SCHEME FOR CONSERVATIVE OSCILLATORS
• Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
• Displacement in the parameter space versus spurious solution of discretization with large time step
• STABILITY ANALYSIS OF PERIODIC SOLUTIONS TO THE NONSTANDARD DISCRETIZED MODEL OF THE LOTKA–VOLTERRA PREDATOR–PREY SYSTEM

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