Universality in the transition to chaos of dissipative systems

DOI10.1016/0167-2789(86)90070-9zbMath0602.58032OpenAlexW2092272933MaRDI QIDQ1081930

Philippe Ghendrih

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90070-9

zbMATH Keywords

chaosbifurcationdissipative systems

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

Period-doubling in two-parameter families ⋮ Analytical renormalization results for the cross-over behavior of periodic doubling, from conservative to dissipative systems ⋮ Reducible expansions and related sharp crossovers in Feigenbaum’s renormalization field

Cites Work

• On universality for area-preserving maps of the plane
• Period doubling bifurcations and universality in conservative systems
• A new type of period-doubling bifurcations in one-dimensional transformations with two extrema
• A two-dimensional mapping with a strange attractor
• Quantitative universality for a class of nonlinear transformations
• Universal metric properties of bifurcations of endomorphisms
• Simple mathematical models with very complicated dynamics

This page was built for publication: Universality in the transition to chaos of dissipative systems