On the Classical Lorenz System

DOI10.1007/978-3-319-12577-0_71zbMath1327.34075OpenAlexW2299695479MaRDI QIDQ2949323

Valery A. Gaiko

Publication date: 8 October 2015

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12577-0_71

zbMATH Keywords

chaosbifurcationlimit cyclesingular pointLorenz system

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical aspects of attractors and their bifurcations (37G35)

Cites Work

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• Global invariant manifolds in the transition to preturbulence in the Lorenz system
• On limit cycles surrounding a singular point
• The applied geometry of a general Liénard polynomial system
• A quadratic system with two parallel straight-line-isoclines
• On the geometry of polynomial dynamical systems
• Limit cycles of quadratic systems
• Mathematical problems for the next century
• Limit cycle bifurcations of a general Liénard system with polynomial restoring and damping functions
• Dynamical systems and chaos
• Elements of applied bifurcation theory

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