Keywords: primary; 37H99; secondary; 34D55; 35B51; 37B25; 37C70; 37L99; 60H10; 60H15; 60H25; Pullback attractor; Weak attractor; Forward attractor; Omega limit set; Compact random set; Closed random set;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 60H10; secondary; 37B25; 60G22; 93E15;
Keywords: Nonlinear systems; Uncertain systems; Stability; Lyapunov functions; Domain of attraction; Linear matrix inequalities; 37B25;
Keywords: 34N05; 37B25; 91D30; Time scale; Stability; Asymptotical stability; Hopfield neural network; Social network; Prisoner's Dilemma;
Keywords: Primary 35J10; 35K05; 35R30; Secondary 37G30; 37B25; 34C23; Semilinear PDE; Reaction-diffusion equation; Behavior of solutions; Chaos;
Keywords: 34C08; 35B44; 37B25; 65L99Ordinary differential equations; Blow-up solutions; Compactifications; Lyapunov functions; Validated computations
Keywords: Iterated function system; Strict attractor; Hutchinson operator; Invariant set; Fast basin; 54H20; 37B25;
Keywords: 34D05; 37B25; 92D25Permanence; Uniform persistence; Lotka–Volterra; Predator–prey
Keywords: 37B25; 37B55; 39A11; 39C10; 39C55Global asymptotic stability; Attractor; Non-autonomous dynamical systems; Markus–Yamabe problem
Keywords: 34D45; 34E10; 37B25; 37N25; 91D10Clustering; Consensus; Asymptotic analysis; Lyapunov function; Krause model
Keywords: 37B20; 37B25; 05C21; Morse graphs; Dynamic; Topological equivalence of linear flows; Grassmannians;
Keywords: Basic reproduction number; Lyapunov functions; Disease free equilibrium; Endemic equilibrium; Global stability34D23; 37B25; 92D30
Keywords: 37B25; 34D05; 54D99Lagrange stability; Asymptotic period; ω-Limit set; Proper metric space
On the construction of Lyapunov functions with computer assistance
Keywords: 34D05; 37B25; 65H10; Lyapunov functions; Computer-assisted proof and construction;
On the set of wild points of attracting surfaces in R3
Keywords: 54H20; 37B25; 37E99; Attractor; Wild surface; Discrete dynamical system;
LCS Tool: A computational platform for Lagrangian coherent structures
Keywords: 47.10.Fg; 47.27.De; 47.11.−j; 05.45.−a; 47.51.+a; 47.54.−r; 92.10.hf; 93.30.Qn; 92.10.ab; 92.10.Ty; 92.10.ak; 92.10.A−37N10; 37B25; 97N80; 37C60; 37B55; 70H33; 76F25Lagrangian coherent structures; Mathematical software; Non-autonomous dynamical systems; I
A necessary and sufficient condition for global asymptotic stability of time-varying Lotka–Volterra predator–prey systems
Keywords: 34C15; 34D05; 34D23; 37B25; 92D25Global asymptotic stability; Lotka–Volterra predator–prey model; Weakly integrally positive; Time-varying system
Uniform persistence and Hopf bifurcations in R+n
Keywords: 37B25; 37C70; 37G35Persistence; Uniform continuation; Dissipativeness; Poincaré–Andronov–Hopf bifurcation; Morse decompositions
Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points
Keywords: 37B10; 37B25; 37G30Partial hyperbolicity; Center unstable manifold; Homoclinic point; Chaos
Common diagonal Lyapunov function for third order linear switched system
Keywords: 93D20; 37B25; Asymptotic stability; Switched linear systems; Common diagonal Lyapunov function; Subgradient;
Sell’s conjecture for non-autonomous dynamical systems
Keywords: 34D23; 34D45; 37B25; 37B55; 39A11; 39C10; 39C55Global attractor; Non-autonomous dynamical system; Asymptotic stability
On the Kneser property for reaction–diffusion equations in some unbounded domains with an H−1H−1-valued non-autonomous forcing term
Keywords: 35B40; 35B41; 35K55; 35K57; 37B25; 58C06Reaction–diffusion system; Set-valued dynamical system; Global attractor; Kneser property; Unbounded domain
Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems
Keywords: 37C60; 37B25; 65P99Basin of attraction; Asymptotically autonomous differential equation; Lyapunov function; Radial Basis Function
Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems
Keywords: 37C60; 37B25; 65P99Basin of attraction; Asymptotically autonomous differential equation; Lyapunov function; Radial basis function
Three-dimensional time-varying nonlinear systems containing a Hamilton system
Keywords: 34D05; 34D20; 37B25; 93D05; 93D20Uniform stability; Asymptotic stability; Nonlinear differential systems; Weakly integrally positive; Automatic control theory; Hamilton system
A dynamical model for solving degenerate quadratic minimax problems with constraints
Keywords: 92B20; 90C20; 37B25; Neural network; Dynamic system; Minimax problem; Quadratic programming problem; Convergent; Stability;
Discontinuous local semiflows for Kurzweil equations leading to LaSalle's invariance principle for differential systems with impulses at variable times
Keywords: 34K45; 37B25; 54H20; Generalized ordinary differential equations; Impulse; LaSalle's invariance principle; Impulsive semidynamical systems;
Lyapunov pairs for multi-valued semi-linear evolutions
Keywords: 37B25; 47J35; 93B05; 49L20Lyapunov pair; Viability; Contingent derivative; Null controllability; Minimum time function
Lyapunov pairs for continuous perturbations of nonlinear evolutions
Keywords: 37B25; 47J35; 93B05Lyapunov pair; mm-dissipative operator; Viability; Contingent derivative; A priori estimates; Finite extinction time; Null controllability
LaSalle’s theorems in impulsive semidynamical systems
Keywords: 34A37; 37B25; 54H20Impulsive semidynamical systems; Lyapunov function; Invariance principle; Asymptotic stability
Boundedness of orbits and stability of closed sets
Keywords: 34C99; 34D20; 37B25; 93D99Stability of sets; Lyapunov stability; Attractivity; Boundedness; Prolongations; Nontangency
Characterization of Lyapunov pairs in the nonlinear case and applications
Keywords: 37B25; 47J35; 93B05Lyapunov pair; mm-accretive operator; Semigroup; Tangency; Contingent derivative; Global solution; A priori estimates; Control system; Null-controllability
Stability analysis in Lagrange sense for a non-autonomous Cohen–Grossberg neural network with mixed delays
Keywords: 34D23; 34D40; 37B25; 37B55; 93C10; 93D05Non-autonomous Cohen–Grossberg neural network; Lagrange stability; Uniformly bounded; Global exponential attractivity; Mixed delays
Global attractors for the extensible thermoelastic beam system
Keywords: 35B41; 37B25; 74F05; 74K10; 74H60Thermoelastic beam system; Absorbing set; Lyapunov functional; Global attractor; Backward uniqueness; Rotational inertia
Strong centers of attraction for multi-valued dynamical systems on noncompact spaces
Keywords: 37B25; 54H20Strong center of attraction; Set-valued function; Dispersive system
Chain prolongation and chain stability
Keywords: 37B25; 54H20Prolongation; Chain; Chain stability; Lyapunov function
Asymptotic behaviour of reaction–diffusion equations with non-damped impulsive effects
Keywords: 35B40; 35B41; 35K55; 35K57; 37B25; 58C06Reaction–diffusion equation; Multivalued dynamical system; Global attractor; Impulsive equation
Stabilities in multi-valued dynamical systems
Keywords: 37B25; 37B35Stability; Lyapunov stability; Characteristic 0+; Disperse systems
Compact global attractors of discrete inclusions
Keywords: 37B25; 37B55; 39A11; 39C10; 39C55Global attractor; Set-valued dynamical system; Control system; Chaotic attractor; Collage; Cocycle
A strategy for constructing Lyapunov functions for non-autonomous linear differential equations
Keywords: 37B25; 37C35; 93D30; Non-autonomous linear differential equation; Lyapunov function; Lozinskii measure; Sign pattern;
Shape of global attractors in topological spaces
Keywords: 37B25; 37C70; 54C56; 55P55; 55Q07; (Semi)dynamical system; Attractor; Shape;
Attractors for relations in Ï-compact spaces
Keywords: primary; 54H20; secondary; 37B25; 37B35; Attractor; Lyapunov function; Relation;
On the Kneser property for some parabolic problems
Keywords: 35B40; 35B41; 35K55; 35K57; 37B25; 58C06; Phase-field equations; Differential inclusions; Setvalued dynamical system; Global attractor; Connexion; Kneser property;
Dynamical characterization of the Lyapunov form of matrices
Keywords: 15A21; 37B25; Lyapunov normal form; Chain transitivity; Morse decompositions; Grassmann graphs;