Keywords: Non-autonomous discrete system; Distributional chaos; Li-Yorke chaos; Topologically weak mixing; Shadowing property; 37B55; 37D45; 37A25;
مقالات ISI (ترجمه نشده)
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Keywords: 65L20; 33F05; 76F06; 37D45; 26A33; Transition to turbulent flows; Fractional dynamics; Attractors; Numerical approximations; Stability; Convergence;
Keywords: 26A33; 34H10; 37D45; Fractional calculus; Chaotification; Lorenz system; Coexisting attractors;
Keywords: Three-species food chain; Finite time blow-up; Predator interference; Turing instability; Hopf bifurcation; Time delay; Primary: 35k57; 35B36; 35B35; 37D45; Secondary: 92d25; 92D40;
Keywords: Attractor; Lorenz system; Chen system; Nose-Hoover oscillator; Power series; Region of convergence; Almost periodic function; 34D45; 37D45; 65G20; 65G50; 65L05; 65L07; 65L20; 65P20; 65L70;
Keywords: 34C28; 37D45; 37B05; 37B20; 54H20; Semi-flow; Sensitivity; Chaos; Quasi-transitivity; Maximal chaotic subsystem;
Dynamical transitions of a low-dimensional model for Rayleigh-Bénard convection under a vertical magnetic field
Keywords: Dynamical transitions; Bifurcation; Rayleigh-Bénard convection; Centre manifold reduction; Dynamical system; 37D45; 35Q99; 34C23;
Realizing full n-shifts in simple Smale flows
Keywords: primary; 37D20; secondary; 37B10; 37D05; 37D45; 57M25; Smale flows; Knots; Linking number; Full shift spaces;
Threshold voltage dynamics of chaotic RS flip-Flops
Keywords: RS Flip-flop circuit; Minimal model; Neimark-Sacker bifurcation; Chaos; Chaotic strange attractors; Smale horseshoe; 37C05; 37C29; 37D45; 94C05;
Biological control via “ecological” damping: An approach that attenuates non-target effects
Keywords: Three-species food chain; Finite time blow-up; Spectral methods; Global existencePrimary: 35K57; 35B36; 35B35; 37D45; Secondary: 92D25; 92D40
SRB measures for a class of partially hyperbolic attractors in Hilbert spaces
Keywords: 37D45; 37C40SRB measure; Infinite dimensional dynamical systems; Partial hyperbolicity; Absolute continuity; Stable foliation; Observable sets
Long-time behavior and Turing instability induced by cross-diffusion in a three species food chain model with a Holling type-II functional response
Keywords: Predator-prey models; Reaction-diffusion system; Cross-diffusions; Turing instability; Turing patterns; Food chain; 35K57; 35B36; 37D45; 92C15; 92D40;
Non-weakly almost periodic recurrent points and distributionally scrambled sets on Σ2ÃS1
Keywords: primary; 37D45; 54H20; 37B40; secondary; 26A18; 28D20; Distributional ϵ-chaos; Weakly almost periodic point; Recurrent point; Li-Yorke sensitivity;
How to control chaotic behaviour and population size with proportional feedback
Keywords: 37D45; 37E05; 92D2505.45.Gg; 87.23.CcChaos; Proportional feedback control; One-dimensional map; Bifurcation diagram
Chaotic sets of continuous and discontinuous maps
Keywords: 37D45; 37B05; 37B10Chaos; Scrambled set; Shift; Continuous map; Discontinuous map; Piecewise isometry
Discrete chaos induced by heteroclinic cycles connecting repellers in Banach spaces
Keywords: 34C28; 37D45; 70K44; 74H65Chaos; Heteroclinic cycle connecting repellers; Coupled-expanding map; Chaos in the sense of Li–Yorke; Chaos in the sense of Devaney; Chaos in the sense of Wiggins
A note on distributional chaos with respect to a sequence
Keywords: 37B99; 37D45; 37B40; 37B20Distributional chaos; Weak mixing; Topological entropy
Is the Hamiltonian geometrical criterion for chaos always reliable?
Keywords: 37D45; 53Z05; 70H14; 70K55; Hamiltonian system; Manifold; Fluctuations of curvature; Parametric instability; Chaos;
Bounds for the chaotic region in the Lorenz model
Keywords: 34C28; 37D45; 37M05; 65P20Lorenz model; Chaos; Sensitivity analysis; Chaos indicators; Fenichel theory
Chaos induced by heteroclinic cycles connecting repellers and saddles in locally compact metric spaces
Keywords: 34C28; 37D45; 70K44; 74H65; Chaos; Heteroclinic cycle connecting repellers and saddles; Coupled-expanding map; Chaos in the sense of Li-Yorke;
A central limit theorem for measurements on the logarithmic scale and its application to dimension estimates
Keywords: primary, 62E20; secondary, 60F05; 37D45; 28A80Information dimension; Local dimension; Central limit theorem; UU-statistics
Dual synchronization based on two different chaotic systems: Lorenz systems and Rössler systems
Keywords: 34C28; 37D45; 37L45Dual synchronization; Lyapunov stabilization theory; Secure communication
On the topology of solenoidal attractors of the cylinder
Keywords: 37C70; 37D45; 37E99; 37G35Attractors; Endomorphisms
Multiplications in solenoids as hyperbolic attractors
Keywords: 37D05; 37D45; Solenoid; Hyperbolic attractor; Cantor groups;
Linear transitivity criteria
Keywords: 37C10; 37D45; 47A16; 47D06; 54H20; Hypercyclic vectors; Topological transitivity; Semigroups of operators; Weakly mixing; Chaos;