Qualitative behaviors of the continuous-time chaotic dynamical systems describing the interaction of waves in plasma
From MaRDI portal
Publication:1696779
DOI10.1007/s11071-017-3334-3zbMath1380.37075OpenAlexW2579370008MaRDI QIDQ1696779
Xiaofeng Liao, Guangyun Zhang, Fuchen Zhang
Publication date: 15 February 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3334-3
Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items (5)
On the dynamics of new 4D Lorenz-type chaos systems ⋮ Qualitative study of a 4D chaos financial system ⋮ Qualitative behaviors of the high-order Lorenz-Stenflo chaotic system arising in mathematical physics describing the atmospheric acoustic-gravity waves ⋮ Dynamics of a New 5D Hyperchaotic System of Lorenz Type ⋮ Dynamics analysis and numerical simulations of a new 5D Lorenz-type chaos dynamical system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- 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
- Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations
- Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits
- Localization of hidden Chua's attractors
- Projective synchronization of fractional order chaotic system based on linear separation
- A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family
- Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control
- Bounds for a new chaotic system and its application in chaos synchronization
- Existence criterion of homoclinic trajectories in the Glukhovsky-Dolzhansky system
- Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors
- On the global boundedness of the Lü system
- Hidden attractor in smooth Chua systems
- Solutions of rational difference systems of order two
- The Tricomi problem for the Shimizu-Morioka dynamical system
- New results of the ultimate bound on the trajectories of the family of the Lorenz systems
- General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- The dynamical analysis of a new chaotic system and simulation
- Dynamic analysis of the fractional-order Liu system and its synchronization
- Attraktorlokalisierung des Lorenz-Systems
- Deterministic Nonperiodic Flow
This page was built for publication: Qualitative behaviors of the continuous-time chaotic dynamical systems describing the interaction of waves in plasma
