Search for periodic solutions of highly nonlinear dynamical systems

DOI10.1134/S0965542518030089zbMath1395.34050MaRDI QIDQ722402

Lev F. Petrov

Publication date: 23 July 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsdeterministic chaosstrange attractorstability of periodic solutionshighly nonlinear systems of ordinary differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

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• Feedback-controlled saddle gradient processes
• Galerkin's procedure for nonlinear periodic systems
• Parallel implementation of Newton’s method for solving large-scale linear programs
• A nonlinear oscillator with a strange attractor

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