ON AUTOMATED DERIVATION OF AMPLITUDE EQUATIONS IN NONLINEAR BIFURCATION PROBLEMS

DOI10.1142/S0218127496001430zbMath1298.35180OpenAlexW2061634838MaRDI QIDQ2924964

Leonid M. Pismen, Manuel G. Velarde, Boris Y. Rubinstein

Publication date: 20 October 2014

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

Full work available at URL: https://doi.org/10.1142/s0218127496001430

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcations in context of PDEs (35B32)

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Chaos and asymptotical stability in discrete-time neural networks ⋮ Derivation of the Amplitude Equation for Reaction–Diffusion Systems via Computer-Aided Multiple-Scale Expansion ⋮ COMPUTER TOOLS FOR BIFURCATION ANALYSIS: GENERAL APPROACH WITH APPLICATION TO DYNAMICAL AND DISTRIBUTED SYSTEMS

Uses Software

• Mathematica