Basins of attraction of invariant regular manifolds

DOI10.1016/j.chaos.2007.09.070zbMath1198.34099OpenAlexW2029772941MaRDI QIDQ601373

Annibal Figueiredo, Tarcísio M. Rocha Filho

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.09.070

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) Stability theory for smooth dynamical systems (37C75) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (1)

Using impulses to control the convergence toward invariant surfaces of continuous dynamical systems

Cites Work

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• Boundedness of solutions and Lyapunov functions in quasi-polynomial systems
• Basins of attraction changes by amplitude constraining of oscillators with limited power supply
• The basin of attraction of the Chen attractor
• Algebraic structures and invariant manifolds of differential systems
• Stability properties of a general class of nonlinear dynamical systems
• Nonpolynomial vector fields under the Lotka-Volterra normal form

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