Some new insights into the Liu system
DOI10.1007/s11071-013-0890-zzbMath1281.34073OpenAlexW2040484957MaRDI QIDQ2436914
Publication date: 27 February 2014
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-013-0890-z
bifurcationcenter manifold theoremclosed orbitLorenz-like systemsingularly degenerate heteroclinic cycle
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
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- Circuit implementation and finite-time synchronization of the 4D Rabinovich hyperchaotic system
- Dynamics of the general Lorenz family
- Chaos control and global synchronization of Liu chaotic systems using linear balanced feedback control
- Analysis for the stabilization of impulsive control Liu's system
- Dynamical analysis of a new autonomous 3-D chaotic system only with stable equilibria
- Complex dynamics in the stretch-twist-fold flow
- The basin of attraction of the Liu system
- Bifurcation analysis of a new Lorenz-like chaotic system
- Inductorless Chua's circuit: experimental time series analysis
- Dynamical analysis, feedback control and synchronization of Liu dynamical system
- Dynamics of a new Lorenz-like chaotic system
- Estimations of domains with cycles
- Analysis and stabilization of nonlinear chaotic systems
- A new chaotic attractor
- Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I
- Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the conjugate Lorenz-type system
- An equation for continuous chaos
- An unusual chaotic system and its control
- Hopf bifurcation analysis of the Liu system
- DYNAMICS OF THE LÜ SYSTEM ON THE INVARIANT ALGEBRAIC SURFACE AND AT INFINITY
- CLOSED ORBITS IN THE GENERAL LORENZ FAMILY
- YET ANOTHER CHAOTIC ATTRACTOR
- Deterministic Nonperiodic Flow
- ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
- A NEW CHAOTIC ATTRACTOR COINED
- Shil'nikov's theorem-a tutorial
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
- Elements of applied bifurcation theory