A new class of minimal chaotic flows

DOI10.1016/S0375-9601(02)01412-3zbMath1001.37025OpenAlexW2057465199MaRDI QIDQ1848242

J.-M. Malasoma

Publication date: 19 November 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)01412-3

zbMATH Keywords

quadratic nonlinearity3D autonomous ordinary differential equationsvector-field \(C^k\) equivalence

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Unnamed Item
• On the numerical computation of Poincaré maps
• Simplest dissipative chaotic flow.
• An equation for continuous chaos
• Non-chaotic behaviour in three-dimensional quadratic systems
• Nonchaotic behaviour in three-dimensional quadratic systems II. The conservative case
• Non-chaotic behaviour in three-dimensional quadratic systems
• Evolution of a multimodal map induced by an equivariant vector field
• Deterministic Nonperiodic Flow

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