Centers on center manifolds in the Lorenz, Chen and Lü systems
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Publication:2299704
DOI10.1016/j.cnsns.2013.08.003zbMath1457.34061OpenAlexW2053328711MaRDI QIDQ2299704
Antonio Algaba, Alejandro J. Rodríguez-Luis, Manuel Merino, Fernando Fernández-Sánchez
Publication date: 24 February 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.08.003
Related Items (12)
Further results on ultimate bound on the trajectories of the Lorenz system ⋮ On differences and similarities in the analysis of Lorenz, Chen, and Lu systems ⋮ Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system ⋮ Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system ⋮ Superluminal periodic orbits in the Lorenz system ⋮ Periodic or chaotic bursting dynamics via delayed pitchfork bifurcation in a slow-varying controlled system ⋮ Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\) ⋮ A strange double-deck butterfly chaotic attractor from a permanent magnet synchronous motor with smooth air gap: numerical analysis and experimental observation ⋮ Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems ⋮ A hybrid symbolic-numerical approach to the center-focus problem ⋮ Center cyclicity of Lorenz, Chen and Lü systems ⋮ Unstable periodic orbits analysis in the generalized Lorenz-type system
Cites Work
- Darboux polynomials and rational first integrals of the generalized Lorenz systems
- Codimension-2 Bautin bifurcation in the Lü system
- Degenerate Hopf bifurcations in the Lü system
- Centers on center manifolds in the Lü system
- Hopf bifurcation in the Lü system
- Hopf bifurcation analysis of the Lü system
- The Lorenz equations: bifurcations, chaos, and strange attractors
- Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system
- YET ANOTHER CHAOTIC ATTRACTOR
- Deterministic Nonperiodic Flow
- A Note on Hopf Bifurcation in Chen's System
- LOCAL BIFURCATIONS OF THE CHEN SYSTEM
- A NEW CHAOTIC ATTRACTOR COINED
- DYNAMICAL ANALYSIS OF A NEW CHAOTIC ATTRACTOR
- BIFURCATION ANALYSIS OF CHEN'S EQUATION
- Control of Codimension-2 Bautin Bifurcation in Chaotic Lü System
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