Evidence that random behavior is generic for nonlinear differential equations

DOI10.1016/0167-2789(80)90005-6zbMath1194.37060OpenAlexW2017164561MaRDI QIDQ994973

John B. McLaughlin, Steven A. Orszag

Publication date: 13 September 2010

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

Full work available at URL: https://doi.org/10.1016/0167-2789(80)90005-6

Mathematics Subject Classification ID

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

Related Items (7)

Arbitrary order numerical methods conserving integrals for solving dynamic equations ⋮ Fluctuation-response relations in systems with chaotic behavior ⋮ On the asymptotics of the Hopf characteristic function ⋮ New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems ⋮ Exact equal time statistics of Orszag–McLaughlin dynamics investigated using the Hopf characteristic functional approach ⋮ On the Lorenz '96 model and some generalizations ⋮ ON THE FLUCTUATION-RESPONSE RELATION IN GEOPHYSICAL SYSTEMS

Cites Work

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• Quantitative universality for a class of nonlinear transformations
• Successive Subharmonic Bifurcations and Chaos in a Nonlinear Mathieu Equation
• Randomness of low-order models of two-dimensional inviscid dynamics
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Dynamical behavior of the fundamental triad-interaction system in three-dimensional homogeneous turbulence
• Integrals of the Toda lattice
• The Toda lattice. II. Existence of integrals

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