A class of Lorenz-like systems

DOI10.1063/1.3689438zbMath1331.37027OpenAlexW2056626217WikidataQ46168255 ScholiaQ46168255MaRDI QIDQ2787725

Claudia Lainscsek

Publication date: 4 March 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3689438

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Time series analysis of dynamical systems (37M10)

Related Items (9)

Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system ⋮ Chaotic and non-chaotic strange attractors of a class of non-autonomous systems ⋮ Boundedness of the complex Chen system ⋮ Dynamical analysis of fractional-order Rössler and modified Lorenz systems ⋮ Bifurcation and dynamics of the complex Chen systems ⋮ Can the original equations of a dynamical system be retrieved from observational time series? ⋮ Analytic self-similar solutions of the Oberbeck-Boussinesq equations ⋮ Distinguishing Lorenz and Chen Systems Based Upon Hamiltonian Energy Theory ⋮ Discovering independent parameters in complex dynamical systems

Cites Work

• Global modeling of the Rössler system from the \(z\)-variable
• Insights into the algebraic structure of Lorenz-like systems using feedback circuit analysis and piecewise affine models
• Chaos in models of double convection
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow

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