On the global boundedness of the Lü system
From MaRDI portal
Publication:1733468
DOI10.1016/j.amc.2016.03.017zbMath1410.34163OpenAlexW2324488533MaRDI QIDQ1733468
Xiaofeng Liao, Guangyun Zhang, Fuchen Zhang
Publication date: 21 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.017
Stability of topological dynamical systems (37B25) Growth and boundedness of solutions to ordinary differential equations (34C11) Attractors of solutions to ordinary differential equations (34D45) Numerical chaos (65P20) Numerical bifurcation problems (65P30)
Related Items (13)
On the dynamics of new 4D Lorenz-type chaos systems ⋮ Qualitative study of a 4D chaos financial system ⋮ Predicting the chaos and solution bounds in a complex dynamical system ⋮ Fractional order fixed-time nonsingular terminal sliding mode synchronization and control of fractional order chaotic systems ⋮ Asymptotic behavior of solutions of Lorenz-like systems: analytical results and computer error structures ⋮ Qualitative behaviors of the continuous-time chaotic dynamical systems describing the interaction of waves in plasma ⋮ Dynamics of a New 5D Hyperchaotic System of Lorenz Type ⋮ Dynamics analysis and numerical simulations of a new 5D Lorenz-type chaos dynamical system ⋮ Coexisting Attractors, Energy Analysis and Boundary of Lü System ⋮ Dynamical Behaviors of a Modified Lorenz–Stenflo Chaotic System ⋮ On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System ⋮ Analysis of a Lorenz-like chaotic system by Lyapunov functions ⋮ Chaotic Dynamics in Generalized Rabinovich System
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On differences and similarities in the analysis of Lorenz, Chen, and Lu systems
- Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits
- Localization of hidden Chua's attractors
- The Hopf bifurcation in the Shimizu-Morioka system
- Projective synchronization of fractional order chaotic system based on linear separation
- Solution and attractivity for a rational recursive sequence
- Asynchronous anti-noise hyper chaotic secure communication system based on dynamic delay and state variables switching
- 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
- Hidden attractor in smooth Chua systems
- Solutions of rational difference systems of order two
- The Tricomi problem for the Shimizu-Morioka dynamical system
- Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor
- General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems
- ON THE BOUNDNESS OF SOME SOLUTIONS OF THE LÜ SYSTEM
- 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
- Attraktorlokalisierung des Lorenz-Systems
- An ultimate bound on the trajectories of the Lorenz system and its applications
- A NEW CHAOTIC ATTRACTOR COINED
- POLYNOMIAL FIRST INTEGRALS FOR THE CHEN AND LÜ SYSTEMS
- GENERATING MULTISCROLL CHAOTIC ATTRACTORS: THEORIES, METHODS AND APPLICATIONS
This page was built for publication: On the global boundedness of the Lü system
