On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System
DOI10.1142/S0218127419500822zbMath1423.34024OpenAlexW2953888845WikidataQ115523658 ScholiaQ115523658MaRDI QIDQ5225794
Publication date: 23 July 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127419500822
Lyapunov functionhomoclinic orbitsingularly degenerate heteroclinic cycleLorenz-type systemglobal exponential attractive set
Nonlinear ordinary differential equations and systems (34A34) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits
- Hopf bifurcation analysis in a Lorenz-type system
- On the boundedness of solutions to the Lorenz-like family of chaotic systems
- Hopf bifurcation analysis and numerical simulation in a 4D-hyperchaotic system
- On global boundedness of the Chen system
- Estimating the ultimate bound and positively invariant set for a synchronous motor and its application in chaos synchronization
- Nonlinear analysis in a Lorenz-like system
- A novel hyperchaotic system with infinitely many heteroclinic orbits coined
- On singular orbits and a given conjecture for a 3D Lorenz-like system
- The past in short hypercycles
- Heteroclinic connections between periodic orbits in planar restricted circular three body problem. II
- Dynamics of a new Lorenz-like chaotic system
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Local and global behavior near homoclinic orbits
- A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Sil'nikov
- Cellular buckling in long structures
- Qualitative study of a 4D chaos financial system
- On the global boundedness of the Lü system
- Constructive proof of Lagrange stability and sufficient -- necessary conditions of Lyapunov stability for Yang-Chen chaotic system
- 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
- Lyapunov functions in the global analysis of chaotic systems
- On the generalized Lorenz canonical form
- Phase control of electromagnetically induced grating in a Doppler-broadened \(\Lambda\)-type three-level system
- Some new insights into a known Chen-like system
- Heteroclinic, Homoclinic and Closed Orbits in the Chen System
- Analytical-Numerical Methods for Hidden Attractors’ Localization: The 16th Hilbert Problem, Aizerman and Kalman Conjectures, and Chua Circuits
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- More Dynamical Properties Revealed from a 3D Lorenz-like System
- Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model
- Constrained Lorenz-like attractors
- HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM
- Complex Dynamics in the Unified Lorenz-Type System
- On the global dynamics of the Rabinovich system
- Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the Lorenz system
- Attraktorlokalisierung des Lorenz-Systems
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- On the Homoclinic Orbits of the Lü System
- HOPF BIFURCATION AND NEW SINGULAR ORBITS COINED IN A LORENZ-LIKE SYSTEM
- COMPLEX DYNAMICS OF A SIMPLE 3D AUTONOMOUS CHAOTIC SYSTEM WITH FOUR-WING
- Secure synchronization of a class of chaotic systems from a nonlinear observer approach
- Infinitely Many Heteroclinic Orbits of a Complex Lorenz System
This page was built for publication: On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System
