Keywords: عملکرد Melnikovف; 34C05; 34C07; 34C08; 37G15; 34M50; Limit cycle; Bifurcation; Hamiltonian system; Melnikov function; Asymptotic expansion;
مقالات ISI عملکرد Melnikovف (ترجمه نشده)
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Keywords: عملکرد Melnikovف; Limit cycle; Homoclinic loop; Melnikov function; Chebyshev system; Piecewise smooth system; 34C05; 34C07; 37G15;
Keywords: عملکرد Melnikovف; Non-smooth system; Limit cycle; Periodic orbit; Melnikov function;
Keywords: عملکرد Melnikovف; 34C07; 34C08; 34C23; 37C27; Ck smooth system; Bifurcation function; Hopf bifurcation; Melnikov function; Smoothness; Limit cycle;
Keywords: عملکرد Melnikovف; Discontinuous systems; Piecewise smooth system; Continuous systems; Melnikov function; Approximation techniques;
Keywords: عملکرد Melnikovف; Limit cycle; Piecewise smooth differential system; Melnikov function;
Keywords: عملکرد Melnikovف; Satellite; Gyrostat; Dual-spacecraft; Rigid body dynamics; Explicit exact solutions; Elliptical integrals; Jacobi elliptic functions; Omega-maneuver; Heteroclinic chaos; Melnikov function; Poincaré sections;
Keywords: عملکرد Melnikovف; 34A99; 34C37; 37G15; High-dimensional system; Melnikov function; Periodic orbit; Bifurcation;
Keywords: عملکرد Melnikovف; Perturbed planar piecewise smooth system; Melnikov function; Poincaré map; Limit cycle; Bifurcation
Keywords: عملکرد Melnikovف; Limit cycle; Period annulus; Melnikov function; Hopf bifurcation
Keywords: عملکرد Melnikovف; Optical phase locked loop; Optical Costas loop; Photo diode-based phase detector; Current controlled laser; Melnikov function
Keywords: عملکرد Melnikovف; Limit cycle; Periodic orbit; Melnikov function; Piecewise smooth system
Keywords: عملکرد Melnikovف; Optical phase locked loop; Phase detector; Current controlled laser; Loop filter; Melnikov function
Keywords: عملکرد Melnikovف; Perturbation; Melnikov expansion; Melnikov function; Hilbert’s 16th problem; Limit cycle
Keywords: عملکرد Melnikovف; Hamiltonian system; Double homoclinic loop; Melnikov function; Limit cycle
Keywords: عملکرد Melnikovف; Taut string; Normal form; Bifurcation; Homoclinic orbit; Melnikov function;
Keywords: عملکرد Melnikovف; Dual-spin spacecraft; Dual-spin satellite; Gyrostat; Homoclinic chaos; Polyharmonic perturbations; Nutation restoring/overturning torques; Melnikov function; Poincaré map
Keywords: عملکرد Melnikovف; Multi-rotor system; Multi-spin spacecraft; Dual-spin spacecraft; Gyrostat; Exact solutions; Homoclinic chaos; Polyharmonic perturbations; Melnikov function; Poincaré map; Roll-walking robot
Bounding the number of limit cycles for a polynomial Liénard system by using regular chains
Keywords: عملکرد Melnikovف; Regular chain; Limit cycle; Liénard system; Melnikov function;
Melnikov functions and limit cycles in piecewise smooth perturbations of a linear center using regularization method
Keywords: عملکرد Melnikovف; Melnikov function; Piecewise smooth system; Limit cycle; Periodic orbit; Regularization method;
Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth systems with a cusp
Keywords: عملکرد Melnikovف; Melnikov function; Limit cycle; Generalized homoclinic loop; Cusp; Piecewise smooth system;
Hopf and homoclinic bifurcations for near-Hamiltonian systems
Keywords: عملکرد Melnikovف; Homoclinic loop; Hamiltonian system; Melnikov function; Limit cycle;
Multiple limit cycles of some strongly nonlinear Liénard–Van der Pol oscillator
Keywords: عملکرد Melnikovف; Melnikov function; Limit cycle; Cuspidal loop; Homoclinic loop
Limit cycles near a homoclinic loop by perturbing a class of integrable systems
Keywords: عملکرد Melnikovف; Integrable system; Homoclinic loop; Melnikov function; Limit cycle
On the number of limit cycles near a homoclinic loop with a nilpotent singular point
Keywords: عملکرد Melnikovف; 34C07; 34C23Integrable system; Nilpotent singular point; Bifurcation; Limit cycle; Melnikov function
Dynamic chaotization of the electronic subsystem in graphene superlattice
Keywords: عملکرد Melnikovف; Graphene; Superlattice; Solitary electromagnetic wave; Dynamic chaos; Melnikov function;
Limit cycle bifurcations near a generalized homoclinic loop in piecewise smooth systems with a hyperbolic saddle on a switch line
Keywords: عملکرد Melnikovف; Melnikov function; Limit cycle bifurcation; Generalized homoclinic loop; Piecewise smooth system; Near-Hamiltonian system
Perturbations of May–Leonard system
Keywords: عملکرد Melnikovف; 34C05; 34A34; 34C14Limit cycles in R3R3; May–Leonard system; Hamiltonian systems; Melnikov function; Chebyshev system
New lower bounds for the Hilbert number of polynomial systems of Liénard type
Keywords: عملکرد Melnikovف; 34C05Hilbert number; Liénard system; Elementary center; Melnikov function
Limit cycle bifurcations by perturbing a class of integrable systems with a polycycle
Keywords: عملکرد Melnikovف; Heteroclinic loop; Near-integrable system; Melnikov function; Limit cycle bifurcation
Markov and Melnikov based methods for vessel capsizing criteria
Keywords: عملکرد Melnikovف; Nonlinear ship rolling; Stochastic beam waves; Mean first passage time (MFPT); Markov process; Melnikov function
Melnikov theory for a class of planar hybrid systems
Keywords: عملکرد Melnikovف; Piecewise linear systems; Hybrid systems; Periodic orbits; Poincaré half-maps; Poincaré map; Melnikov function
Bifurcation of limit cycles in 3rd-order Z2Z2 Hamiltonian planar vector fields with 3rd-order perturbations
Keywords: عملکرد Melnikovف; Hilbert’s 16th problem; Limit cycle; Near-Hamiltonian system; Center bifurcation; Melnikov function
Bifurcation of periodic orbits emanated from a vertex in discontinuous planar systems
Keywords: عملکرد Melnikovف; Discontinuous planar system; Limit cycle; Melnikov function; Poincaré map; Bifurcation
Bifurcation of periodic orbits with multiple crossings in a class of planar Filippov systems
Keywords: عملکرد Melnikovف; Filippov system; Limit cycle; Melnikov function; Poincaré map; Bifurcation
Saddle–node bifurcation of invariant cones in 3D piecewise linear systems
Keywords: عملکرد Melnikovف; Piecewise linear systems; Invariant manifolds; Hybrid systems; Periodic orbits; Melnikov function; Saddle–node bifurcation
Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
Keywords: عملکرد Melnikovف; 34C05; 34C07; 37G15Limit cycle; Homoclinic loop; Melnikov function; Bifurcation; Piecewise smooth system
Bifurcation of limit cycles from a heteroclinic loop with a cusp
Keywords: عملکرد Melnikovف; Nilpotent cusp; Heteroclinic loop; Melnikov function; Limit cycle; Bifurcation
Establishing the limiting conditions of operation of magneto-rheological fluid dampers in vehicle suspension systems
Keywords: عملکرد Melnikovف; Chaos; Quarter-car; Hysteretic nonlinearity; Melnikov function
Limit cycles of a Z3Z3-equivariant near-Hamiltonian system
Keywords: عملکرد Melnikovف; Limit cycles; Z3Z3-equivariance; Near-Hamiltonian systems; Melnikov function
The complexity of wave propagation of the nonlinear Schrödinger equation with weak periodic external field
Keywords: عملکرد Melnikovف; 35B40; 35B45Maxwell’s equation; Weak periodic external field; Schrödinger equation; Melnikov function; KAM theory
New configurations of 24 limit cycles in a quintic system
Keywords: عملکرد Melnikovف; Double homoclinic loops; Bifurcation; Melnikov function; Stability; Limit cycles
Chaotic Motion of Corrugated Circular Plates
Keywords: عملکرد Melnikovف; corrugated circular plate; Melnikov function; subharmonic bifurcation; chaotic motion;
Chaotic phase oscillation of a proton beam in a synchrotron
Keywords: عملکرد Melnikovف; 29.27.-a; 05.45.Ac; 46.15.Ff; Phase oscillation; Chaos; General solution; Melnikov function;
On Hopf cyclicity of planar systems with multiple parameters
Keywords: عملکرد Melnikovف; Limit cycle; Hopf bifurcation; Cyclicity; Melnikov function;
Chaotic response of a large deflection beam and effect of the second order mode
Keywords: عملکرد Melnikovف; Galerkin principle; Melnikov function; Double mode method; Poincare map;