Integrating the nonintegrable: Analytic structure of the Lorentz system revisited

DOI10.1016/S0167-2789(98)90018-5zbMath0663.58042OpenAlexW1985659033MaRDI QIDQ1114212

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)90018-5

zbMATH Keywords

singularitynonintegrable systemsLorentz system in nonintegrable parameter regimesRecursive clustering of singularities

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of global analysis to the sciences (58Z05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations, A geometrical method towards first integrals for dynamical systems, Periodic and chaotic solutions for a nonlinear system arising from a nuclear spin generator, The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness, The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability, Strange attractors in dissipative Nambu mechanics: classical and quantum aspects, Dynamical systems on infinitely sheeted Riemann surfaces, Understanding complex dynamics by means of an associated Riemann surface, Finite-time blow-up in dynamical systems, Similarity reductions from extended Painlevé expansions for nonintegrable evolution equations, Necessary and sufficient conditions for finite time singularities in ordinary differential equations, Algebraic approximation of attractors of dynamical systems on manifolds, Analytical solutions of the Lorenz system, Lie symmetries of the Lorenz model, A “Discretization” Technique for the Solution of ODEs II, Integrals of motion for the Lorenz system, The zero-Hopf bifurcations of a four-dimensional hyperchaotic system

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