Keywords: مدار دوره ای; Coulomb-like potential; Soft-core potential approximation; Periodic orbits; Ionization dynamics;
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Keywords: مدار دوره ای; Periodic orbits; Evolution strategy algorithms; Motion around a solid ring;
Keywords: مدار دوره ای; Nonlinear equation; Iterative method; Dynamical behavior; Fatou and Julia sets; Basin of attraction; Periodic orbits;
Keywords: مدار دوره ای; Periodic orbits; Sink; Saddle; Poincaré map; Fixed points; Piecewise affine systems;
Keywords: مدار دوره ای; primary; 53D25; 37B20; secondary; 37C50; Gluing orbit property; Shadowing; Periodic orbits;
Keywords: مدار دوره ای; Parallel dynamical systems; Periodic orbits; Number of periodic orbits; Boolean algebra; Boolean functions; 90B10; 37E15; 54H25; 68R10; 94C10;
Keywords: مدار دوره ای; Normal form construction; Completely resonant tori; Hamiltonian perturbation theory; Periodic orbits;
Keywords: مدار دوره ای; Hill's problem; Libration points; Periodic orbits; Perturbation theory; Complex variables; Hopf variables; Floating point arithmetic;
Keywords: مدار دوره ای; Billiards; Symplectic geometry; Twist maps; Generating functions; Periodic orbits; Interpolating Hamiltonians;
Keywords: مدار دوره ای; Relative dynamics; Periodic orbits; Invariant tori; Lorentz force; Stability analysis;
Keywords: مدار دوره ای; Sequential dynamical systems; Periodic orbits; Fixed point theorem; Boolean algebra; Boolean functions; 68R10; 37B15; 90B10; 37E15; 94C10;
Keywords: مدار دوره ای; 37J25; 37J45; 37C27; 34C25; Hamiltonian dynamics; Periodic orbits; Asymptotic stability with phase;
Keywords: مدار دوره ای; primary; 37B40; 37C10; 37C35; 37C50; secondary; 37C27; Gluing orbit property; Topological entropy; Periodic orbits; Specification property; Komuro expansiveness;
Keywords: مدار دوره ای; 37J25; 37J45; 37J05; 86A25; Completely integrable systems; Stability; Equilibrium states; Periodic orbits; Rikitake system;
Keywords: مدار دوره ای; Non-smooth dynamics; Center problem; Periodic orbits; Poincaré map34C25; 37G15; 37G10
Keywords: مدار دوره ای; Contact binary asteroid; Equilibrium points; Periodic orbits; Resonant orbits; Linear stability;
Keywords: مدار دوره ای; Periodic orbits; Centre manifolds; Halo orbits;
Keywords: مدار دوره ای; 34A36; 65P99; 65L60; 46B45; 37M99Rigorous numerics; Piecewise smooth systems; Periodic orbits; Contraction mapping theorem; Chebyshev series; Filippov
Keywords: مدار دوره ای; Terminal sliding mode; Discretization; Steady-state behaviour; Periodic orbits
Keywords: مدار دوره ای; Computer-assisted proof; Periodic orbits; Validated numerics; High-precision; Lorenz model;
Keywords: مدار دوره ای; Neuron model; Difference equation; Periodic orbits; Stability; 39A23; 39A30; 92B20;
Keywords: مدار دوره ای; Restricted three-body problem; Libration points; Stability; Zonal harmonics coefficients; Periodic orbits;
Keywords: مدار دوره ای; General five-body problem; Horseshoe orbits; Periodic orbits; Coorbital motion; Exchange orbits
Keywords: مدار دوره ای; Invariant manifold; Sliding motion; Nonlinear piecewise dynamical systems; Non-smooth systems; Invariant cones; Periodic orbits; Generalized Hopf bifurcation
Keywords: مدار دوره ای; Integrable maps; Lie symmetries; Periodic orbits; Rational parameterizations
Keywords: مدار دوره ای; Polynomial vector fields; Limit cycles; Isochronous centers; Periodic orbits; Averaging method;
Keywords: مدار دوره ای; 34C25; 34C07; Abel equation; Composition condition; Periodic orbits; Centers;
Keywords: مدار دوره ای; Polynomial differential equation; Periodic orbits; Number, shape, period; Simultaneous bifurcation; First and second order perturbations
Keywords: مدار دوره ای; Computer Assisted Proof; Periodic orbits; Hamiltonian systems
Keywords: مدار دوره ای; Conservative systems; Bifurcations; Finite time Lyapunov exponent; Periodic orbits;
Keywords: مدار دوره ای; Sliding mode control; Twisting algorithm; Periodic orbits; Euler’s discretization; Stability
No periodic orbits in the Bianchi models B
Keywords: مدار دوره ای; 34C05; 34C25; 34C60; Bianchi cosmological models; Periodic orbits; Invariant hyperplanes;
Low-energy transfers to cislunar periodic orbits visiting triangular libration points
Keywords: مدار دوره ای; Periodic orbits; Invariant manifolds; Low-energy transfers; Lunar gravity assist;
Periodic solutions of some autonomous Liénard equations with relativistic acceleration
Keywords: مدار دوره ای; 34C05; 34C15; 34C35; Periodic orbits; Limit cycles; Van der Pol relativistic equation; Liénard relativistic equation;
Windows for escaping particles in quartic galactic potentials
Keywords: مدار دوره ای; Galactic potentials; Periodic orbits; Escapes; Hamiltonian systems;
Existence and uniqueness of limit cycles for generalized φ-Laplacian Liénard equations
Keywords: مدار دوره ای; Existence and uniqueness; Periodic orbits; Limit cycles; φ-Laplacian Liénard equations; Generalized Liénard equations
On the dynamics of a class of Kolmogorov systems
Keywords: مدار دوره ای; Kolmogorov systems; Lotka–Volterra systems; Periodic orbits; Integrability
On the periodic solutions of a rigid dumbbell satellite placed at L4L4 of the restricted three body problem
Keywords: مدار دوره ای; Dumbbell satellite; Periodic orbits; Averaging theory
On some dynamical and geometrical properties of the Maxwell–Bloch equations with a quadratic control
Keywords: مدار دوره ای; Maxwell–Bloch equations; Hamiltonian systems; Stability theory; Energy-Casimir map; Periodic orbits; Heteroclinic orbits
Averaging theory at any order for computing periodic orbits
Keywords: مدار دوره ای; First-order analytic differential equations; Averaging theory; Polynomial differential equations; Limit cycles; Periodic orbits
Periodic solutions in the Sun–Jupiter–Trojan Asteroid–Spacecraft system
Keywords: مدار دوره ای; Celestial mechanics; Four-body problem; Equilibrium points; Periodic orbits; Stability
A simple solution of some composition conjectures for Abel equations
Keywords: مدار دوره ای; Periodic orbits; Centers; Trigonometric Abel equation; Generalized moments; Strongly persistent centers; Composition conjecture
Melnikov theory for a class of planar hybrid systems
Keywords: مدار دوره ای; Piecewise linear systems; Hybrid systems; Periodic orbits; Poincaré half-maps; Poincaré map; Melnikov function
Dynamics of Leslie–Gower type generalist predator in a tri-trophic food web system
Keywords: مدار دوره ای; Leslie–Gower model; Hopf-bifurcation; Periodic orbits; Chaos
A semi-numerical method for periodic orbits in a bisymmetrical potential
Keywords: مدار دوره ای; Galaxies: kinematics and dynamics; Periodic orbits
Computer-assisted proof of skeletons of periodic orbits
Keywords: مدار دوره ای; Computer-assisted proof; Periodic orbits; Validated numerics; Linear stability
Non-linear vibrational modes in biomolecules: A periodic orbits description
Keywords: مدار دوره ای; Vibrational spectroscopy; Non-linear dynamics; Periodic orbits; Center-saddle bifurcations; Alanine dipeptide; Cytochrome c oxidase;
Parallel dynamical systems over directed dependency graphs
Keywords: مدار دوره ای; Discrete dynamical systems; Periodic orbits; Parallel dynamical systems; Directed dependency graphs; Boolean functions
Period two implies chaos for a class of multivalued maps: A naive approach
Keywords: مدار دوره ای; Chaos; Periodic orbits; Multivalued maps; Poincaré operators;
Invariant manifolds for nonsmooth systems
Keywords: مدار دوره ای; Invariant manifold; Nonlinear piecewise dynamical systems; Invariant cones; Periodic orbits; Generalized Hopf bifurcation;