Qualitative behaviors of the high-order Lorenz-Stenflo chaotic system arising in mathematical physics describing the atmospheric acoustic-gravity waves
DOI10.1186/S13662-017-1351-7zbMath1444.37066OpenAlexW2755327994WikidataQ59513512 ScholiaQ59513512MaRDI QIDQ1710088
Fuchen Zhang, Guangyun Zhang, Min Xiao
Publication date: 15 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1351-7
Lyapunov stabilitynonlinear dynamicsLyapunov exponentsdomain of attractionhigh-order Lorenz-Stenflo system
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Stability of solutions to ordinary differential equations (34D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45)
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Cites Work
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- 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
- On global boundedness of the Chen system
- Dynamical analysis of the permanent-magnet synchronous motor chaotic system
- Qualitative behaviors of the continuous-time chaotic dynamical systems describing the interaction of waves in plasma
- Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE
- Lyapunov dimension formula for the global attractor of the Lorenz system
- New results of the ultimate bound on the trajectories of the family of the Lorenz systems
- Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor
- Dynamical analysis of the generalized Lorenz systems
- General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems
- Dynamics of a three-dimensional systems of rational difference equations
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- Attraktorlokalisierung des Lorenz-Systems
- Period Three Implies Chaos
- Bifurcation behavior of the generalized Lorenz equations at large rotation numbers
- The bifurcation characteristics of the generalized Lorenz equations
- Periodic and chaotic solutions of the generalized lorenz equations
- Deterministic Nonperiodic Flow
- Dynamical Behaviors of a Modified Lorenz–Stenflo Chaotic System
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