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International Journal of Bifurcation and Chaos, ISSN 0218-1274, 06/2019, Volume 29, Issue 6, p. 1950082
This paper deals with some unsolved problems of the global dynamics of a three-dimensional (3D) Lorenz-type system: ẋ = a ( y − x ) , ẏ = c x − x z , ż = − b z... 
homoclinic orbit | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | HETEROCLINIC ORBITS | DYNAMICS | BOUNDEDNESS | global exponential attractive set | Lorenz-type system | HOPF-BIFURCATION ANALYSIS | singularly degenerate heteroclinic cycle | Lyapunov function
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 02/2014, Volume 28, pp. 30 - 37
In this paper, the global exponential attractive sets of a class of continuous-time dynamical systems defined by are studied. The elements of main diagonal of... 
Lorenz system | Global exponential attractive set | Lyapunov function | LOCALIZATION | SYNCHRONIZATION | MATHEMATICS, APPLIED | CHAOTIC SYSTEM | BOUNDS | LORENZ-SYSTEM | Jacobi matrix method | Origins | Jacobian matrix | Searching | Mathematical analysis | Dynamical systems
Journal Article
Neural Computing and Applications, ISSN 0941-0643, 10/2014, Volume 25, Issue 5, pp. 1177 - 1183
Journal Article
Neurocomputing, ISSN 0925-2312, 10/2014, Volume 142, pp. 447 - 457
In this paper, the problem on positive invariant sets and global exponential attractive sets for a class of BAM neural networks with time-varying and infinite... 
Linear matrix inequality | Positive invariant sets | Global exponential attractive sets | BAM neural network | Infinite distributed delays | EXISTENCE | PERIODIC-SOLUTIONS | STABILITY ANALYSIS | DISCRETE | LAGRANGE SENSE | ASYMPTOTIC STABILITY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Neural networks | Analysis
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 07/2014, Volume 24, Issue 7, pp. 1450091 - 1-8
In this paper, the global exponential attractive sets of the T chaotic system are studied. The method for constructing Lyapunov functions that are applied to... 
global exponential attractive set | Lyapunov functions | T chaotic system | EXISTENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INVARIANT SET | MULTIDISCIPLINARY SCIENCES | LOOPS | FAMILY | Bifurcations | Covering | Lithium | Construction | Chaos theory
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 2011, Volume 16, Issue 9, pp. 3738 - 3745
Journal Article
Neurocomputing, ISSN 0925-2312, 04/2017, Volume 235, pp. 140 - 146
This paper concerns with the global Lagrange stability of inertial neural networks with discrete and distributed time-varying delays. By choosing a proper... 
Time-varying delay | Global exponential attractive set | Inertial neural networks | Lagrange stability | SYNCHRONIZATION | NEUTRAL-TYPE | EXPONENTIAL STABILITY | DISCRETE | SENSE | Global exponential attractive | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Neural networks | Neurons
Journal Article
Neurocomputing, ISSN 0925-2312, 01/2016, Volume 171, pp. 524 - 531
In this paper, the global exponential stability in Lagrange sense related to inertial neural networks with time-varying delay is investigated. Firstly, by... 
Time-varying | Global exponential attractive set | Inertial neural networks | Lagrange exponential stability | LMI-BASED CRITERIA | ROBUST STABILITY | SYSTEMS | ASYMPTOTIC STABILITY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Neural networks
Journal Article
Neural Networks, ISSN 0893-6080, 01/2018, Volume 97, pp. 183 - 191
This paper is concerned with the global exponential dissipativity of memristive inertial neural networks with discrete and distributed time-varying delays. By... 
Memristive inertial neural networks | Distributed delays | Dissipativity | Global attractive set | CRITERIA | LAGRANGE STABILITY | PASSIVITY ANALYSIS | NEUROSCIENCES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | LMI APPROACH | HAIR-CELLS | SYNCHRONIZATION | MODELS | DISCRETE | ASYMPTOTIC STABILITY | Algorithms | Neural Networks (Computer) | Analysis | Numerical analysis
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 09/2017, Volume 309, pp. 205 - 221
This paper studies the stability problem of Yang–Chen system. By introducing different radial unbounded Lyapunov functions in different regions, global... 
Lyapunov stability | Yang–Chen system | Global exponential attractive set | Lagrange stability | Branch | MATHEMATICS, APPLIED | LURE SYSTEMS | Yang-Chen system | SECTOR | ATTRACTOR
Journal Article
Discrete and Continuous Dynamical Systems - Series B, ISSN 1531-3492, 06/2017, Volume 22, Issue 4, pp. 1673 - 1681
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 09/2014, Volume 243, pp. 12 - 23
This paper is concerned with the boundedness of solutions of the complex Lorenz system. We have obtained the global exponential attractive set and the ultimate... 
Lorenz system | Generalized Lyapunov functions | Global attractive set | ANTI-SYNCHRONIZATION | CHEN | MATHEMATICS, APPLIED | ATTRACTOR | Computer simulation | Computation | Chaos theory | Exteriors | Mathematical models | Trajectories
Journal Article
Neurocomputing, ISSN 0925-2312, 02/2015, Volume 149, pp. 930 - 939
Journal Article
Discrete and Continuous Dynamical Systems - Series B, ISSN 1531-3492, 06/2015, Volume 20, Issue 4, pp. 1273 - 1288
Journal Article
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, ISSN 1531-3492, 12/2017, Volume 22, Issue 10, pp. 3707 - 3720
In this paper, the ultimate bound set and globally exponentially attractive set of a generalized Lorenz system are studied according to Lyapunov stability... 
EXISTENCE | MATHEMATICS, APPLIED | CHAOTIC SYSTEM | Generalized Lorenz system | HOMOCLINIC TRAJECTORIES | Lyapunov-like functions | ultimate boundedness | LU | SHIMIZU-MORIOKA | HIDDEN OSCILLATIONS | CHEN | SYNCHRONIZATION | POSITIVE INVARIANT SET | ATTRACTIVE SET | global attractive sets
Journal Article