PERIODIC ORBITS OF THE LORENZ SYSTEM THROUGH PERTURBATION THEORY

DOI10.1142/S0218127401003632zbMath1091.34522OpenAlexW1967980389MaRDI QIDQ5474227

Patricia Yanguas, Jesús F. Palacián

Publication date: 23 June 2006

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

Full work available at URL: https://doi.org/10.1142/s0218127401003632

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Normal forms for dynamical systems (37G05)

Related Items (1)

Invariant manifolds of an autonomous ordinary differential equation from its generalized normal forms

Cites Work

• On differential equations in normal form
• Generalized normal forms for polynomial vector fields
• A splitting lemma for equivariant dynamics
• Deterministic Nonperiodic Flow
• Expansion formulae in canonical transformations depending on a small parameter
• Lowering the dimension of polynomial vector fields in R2 and R3
• Analytical approach for simplifying dynamical systems of polynomial type.

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