Periodicity and Chaos of High-Order Lorenz Systems

DOI10.1142/S0218127417501760zbMath1381.34035OpenAlexW2769325938MaRDI QIDQ4597242

Sungju Moon, Junho Park, Jong-Jin Baik, Jaemyeong Mango Seo, Beom-Soon Han

Publication date: 12 December 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127417501760

zbMATH Keywords

chaosperiodicitynonlinear dynamicshigh-order Lorenz systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Cites Work

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• A generalized Lorenz system
• Generalized Lorenz models and their routes to chaos. I: Energy-conserving vertical mode truncations
• Generalized Lorenz models and their routes to chaos. III: Energy-conserving horizontal and vertical mode truncations
• Generalized Lorenz models and their routes to chaos. II: Energy-conserving horizontal mode truncations
• Periodic and Chaotic Dynamics of the Ehrhard–Müller System
• EXTENDED PHASE DIAGRAM OF THE LORENZ MODEL
• Deterministic Nonperiodic Flow

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