Existence of attractor and control of a 3D differential system

DOI10.1007/s11071-009-9601-1zbMath1189.70103OpenAlexW2034989686MaRDI QIDQ979399

Publication date: 28 June 2010

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

Full work available at URL: https://doi.org/10.1007/s11071-009-9601-1

zbMATH Keywords

heteroclinic orbit adaptive backstepping chaotic system Shilnikov criterion

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

Related Items (13)

Comment on ``Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems ⋮ Dynamics and delayed feedback control for a 3D jerk system with hidden attractor ⋮ Complex dynamics in a 5-D hyper-chaotic attractor with four-wing, one equilibrium and multiple chaotic attractors ⋮ Bifurcation analysis for T system with delayed feedback and its application to control of chaos ⋮ On the dynamics of a model with coexistence of three attractors: a point, a periodic orbit and a strange attractor ⋮ Comment on `Šilnikov-type orbits of Lorenz-family systems' ⋮ Delayed feedback on the 3-D chaotic system only with two stable node-foci ⋮ Shil'nikov chaos in the 4D Lorenz-Stenflo system modeling the time evolution of nonlinear acoustic-gravity waves in a rotating atmosphere ⋮ Dynamics and complexity analysis of fractional-order chaotic systems with line equilibrium based on Adomian decomposition ⋮ Unnamed Item ⋮ Dynamical analysis of the generalized Sprott C system with only two stable equilibria ⋮ Unnamed Item ⋮ Dynamics of a 3D autonomous quadratic system with an invariant algebraic surface

Cites Work

This page was built for publication: Existence of attractor and control of a 3D differential system