Order in chaos

DOI10.1016/0045-7825(85)90010-6zbMath0574.73062OpenAlexW2079922065MaRDI QIDQ1063454

Hermann Haken

Publication date: 1985

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(85)90010-6

zbMATH Keywords

numerical integrationLyapunov exponentsLorenz equationsdeterministic chaosHelmholtz equationquasiperiodicityfractal dimensionstrange attractorintermittencyDuffing equationsperiod doublingdiscrete mapsautonomousslaving principletutorial surveynonautonomous equationscharacteristic features of chaosPoincare return map

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of dynamical problems in solid mechanics (74H55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (3)

[https://portal.mardi4nfdi.de/wiki/Publication:3468695 Stabilit�t elastischer Tragwerke mit nichtlinearem Verformungsverhalten bei instation�ren Einwirkungen] ⋮ Chaos in planar oscillations of a Toda particle ⋮ Order in chaos

Cites Work

• Unnamed Item
• Advanced synergetics. Instability hierarchies of self-organizing systems and devices
• Order in chaos
• On the abundance of aperiodic behaviour for maps on the interval
• Hydrodynamic instabilities and the transition to turbulence
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• On the nature of turbulence
• Deterministic Nonperiodic Flow

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