Normal forms of continuous piecewise linear vector fields and chaotic attractors Part I: Linear vector fields with a section

DOI10.1007/BF03167875zbMath0672.58028OpenAlexW1983233410MaRDI QIDQ3825796

Motomasa Komuro

Publication date: 1988

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167875

zbMATH Keywords

attractorschaossmooth nonlinear systemsnormal forms of piecewise linear vector fields

Mathematics Subject Classification ID

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

Related Items (4)

Homoclinic Cycle Bifurcations in Planar Maps ⋮ Bifurcation equations of continuous piecewise-linear vector fields ⋮ Normal forms of continuous piecewise linear Vector fields and chaotic attractors Part II: chaotic attractors ⋮ A construction of three-dimensional vector fields which have a codimension two heteroclinic loop at Glendinning-Sparrow T-point

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• Normal forms of continuous piecewise linear Vector fields and chaotic attractors Part II: chaotic attractors
• The double scroll
• The double scroll family
• Homoclinic and heteroclinic orbits in the double scroll attractor
• Deterministic Nonperiodic Flow
• Canonical piecewise-linear analysis

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