On the Homoclinic Orbits of the Lü System
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Publication:4976141
DOI10.1142/S0218127417500705zbMath1367.34049OpenAlexW2623381607MaRDI QIDQ4976141
Johanna D. García-Saldaña, Martha Alvarez-Ramírez
Publication date: 27 July 2017
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127417500705
Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (3)
Coexisting Attractors, Energy Analysis and Boundary of Lü System ⋮ On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System ⋮ Unstable periodic orbits analysis in the generalized Lorenz-type system
Cites Work
- On differences and similarities in the analysis of Lorenz, Chen, and Lu systems
- Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Criteria for the existence of homoclinic orbits of systems Lu and Chen
- General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems
- Heteroclinic, Homoclinic and Closed Orbits in the Chen System
- ON THE BOUNDNESS OF SOME SOLUTIONS OF THE LÜ SYSTEM
- ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
- BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
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