On the completely integrable case of the Rössler system

DOI10.1063/1.4708621zbMath1283.34009OpenAlexW1982362811MaRDI QIDQ2860769

Anania Gîrban, Răzvan M. Tudoran

Publication date: 20 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4708621

zbMATH Keywords

periodic solutionsLyapunov stabilityintegrable systemsPoisson structureequilibriaLax pairRössler systemenergy-Casimir mapping

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) Stability of solutions to ordinary differential equations (34D20) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (8)

Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups ⋮ Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier ⋮ Asymptotic stabilization with phase of periodic orbits of three-dimensional Hamiltonian systems ⋮ On the integrable stretch-twist-fold flow: Bi-Hamiltonian structures and global dynamics ⋮ The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping ⋮ Complex dynamics of the fractional-order Rössler system and its tracking synchronization control ⋮ The completely integrable differential systems are essentially linear differential systems ⋮ Dynamical systems with a prescribed globally bp-attracting set and applications to conservative dynamics

Cites Work

• Semianalytic and subanalytic sets
• An equation for continuous chaos
• Global dynamics of the Rössler system with conserved quantities
• FORMAL AND ANALYTIC INTEGRABILITY OF THE ROSSLER SYSTEM
• Lectures on Mechanics
• DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEM
• EXPONENTIAL FACTORS AND DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEM

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