Dynamics at infinity and other global dynamical aspects of Shimizu-Morioka equations

DOI10.1007/s11071-011-0288-8zbMath1256.37007OpenAlexW2093034786MaRDI QIDQ1928949

Márcio R. Alves Gouveia, Claudio Pessoa, Marcelo Messias

Publication date: 4 January 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0288-8

zbMATH Keywords

chaotic dynamicsdynamics at infinityPoincaré compactificationsingularly degenerate heteroclinic cyclesShimizu-Morioka equations

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (7)

Bifurcations at infinity, invariant algebraic surfaces, homoclinic and heteroclinic orbits and centers of a new Lorenz-like chaotic system ⋮ Control of Shimizu–Morioka Chaotic System with Passive Control, Sliding Mode Control and Backstepping Design Methods: A Comparative Analysis ⋮ Integrability analysis of the Shimizu-Morioka system ⋮ The Hopf bifurcation in the Shimizu-Morioka system ⋮ Hidden Attractors and Dynamical Behaviors in an Extended Rikitake System ⋮ Unnamed Item ⋮ Dynamics of a 3D autonomous quadratic system with an invariant algebraic surface

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