New estimate the bounds for the generalized Lorenz system
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Publication:5259867
DOI10.1002/mma.3189zbMath1371.37066OpenAlexW1990655127MaRDI QIDQ5259867
Da Lin, Guangyun Zhang, Xiang-Kai Sun, Fuchen Zhang
Publication date: 29 June 2015
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3189
Stability for nonlinear problems in mechanics (70K20) Growth and boundedness of solutions to ordinary differential equations (34C11) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Asymptotic properties of solutions to ordinary differential equations (34D05)
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Cites Work
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- Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits
- Lyapunov functions in the attractor dimension theory
- Localization of hidden Chua's attractors
- On the boundedness of solutions to the Lorenz-like family of chaotic systems
- The Lü system is a particular case of the Lorenz system
- Estimating the ultimate bound and positively invariant set for a synchronous motor and its application in chaos synchronization
- 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
- On the boundedness of solutions of the Chen system
- Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors
- Impulsive control of Lorenz system
- Hidden attractor in smooth Chua systems
- Lag synchronization of Rössler system and Chua circuit via a scalar signal
- Explicit ultimate bound sets of a new hyperchaotic system and its application in estimating the Hausdorff dimension
- Adaptive control for anti-synchronization of Chua's chaotic system
- Adaptive synchronization of Rössler system with uncertain parameters
- 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
- Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system
- TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
- Dynamic analysis of the fractional-order Liu system and its synchronization
- Attraktorlokalisierung des Lorenz-Systems
- An ultimate bound on the trajectories of the Lorenz system and its applications
- Synchronization in chaotic systems
- THE NONEQUIVALENCE AND DIMENSION FORMULA FOR ATTRACTORS OF LORENZ-TYPE SYSTEMS
- STABILITY AND BIFURCATIONS OF PHASE-LOCKED LOOPS FOR DIGITAL SIGNAL PROCESSORS
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