Keywords: 34C15; 34C25; 58F; Boundary value problem; Periodic nonlinearity; Rabinowitz's Saddle Point theorem;
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Keywords: 34C15; 70K65; 37H20; 74H65; Variable-length pendulum; Resonance; Lyapunov exponent; Bifurcation diagram; Dynamic chaos;
Keywords: Analytical solution; Strongly nonlinear oscillator; Homotopy perturbation method; Variational approach; 34A34; 34C15; 34C25; 35L65; 37N30; 74S25;
Keywords: 34C15; 34C25; 70F10; 3-body problems with 2 fixed centers; Variational minimization; Newtonian potentials; Circular solutions;
Keywords: 34C15; 34C25; 70F07; Four-body problem; Convex central configurations; Isosceles trapezoid; Triangle areas;
Keywords: 34C15; 34C20.; Quadratic damping. Liénard equation; Chiellini integrability condition; Lambert W function.;
Keywords: primary; 34C15; 34C25; Center; Limit cycle; Averaging method; Phase portrait; Generalized Kukles system;
Keywords: 34C15; 74H10; 14H20; Coupled oscillators; Metamorphoses of amplitude curves; Degenerate singular points;
Keywords: 37J40; 34C27; 34C15; KAM theory; Reversible vector field; Quasi-periodic solutions;
Keywords: Wavy spiral; Bessel equation; Generalized Bessel equation; Box dimension; Phase dimension; 37C45; 34C15; 28A80;
Keywords: 34C14; 34C15; 34C25; Symmetric solution; Symmetry; Odd solution; Periodic solution; Anti-periodic solution; Averaging;
Keywords: 34L30; 34C15; 74G10Homotopy perturbation method; Nonlinear ordinary differential equations; Relativistic harmonic oscillator; Fourier series
Keywords: 65L05; 65L06; 34C15; 34E05Trigonometric collocation methods; Lagrange polynomials; Multi-frequency oscillatory second-order systems; Variation-of-constants formula
New periodic solutions for some planar N+3-body problems with Newtonian potentials
Keywords: 34C15; 34C25; 58F; N+3-body problems; Periodic solutions; Winding numbers; Variational minimizers;
Periodic solutions of some autonomous Liénard equations with relativistic acceleration
Keywords: 34C05; 34C15; 34C35; Periodic orbits; Limit cycles; Van der Pol relativistic equation; Liénard relativistic equation;
Bi-center conditions and local bifurcation of critical periods in a switching Z2 equivariant cubic system
Keywords: Switching system; Z2 equivariant system; Lyapunov constant; Bi-center; Bifurcation of critical periods; 34C07; 34C15;
Disconjugacy via Lyapunov and Vallée-Poussin type inequalities for forced differential equations
Keywords: Lyapunov; Vallée-Poussin; Sub-half-linear34C10; 34C15
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
On Littlewood's boundedness problem for relativistic oscillators with anharmonic potentials
Keywords: 34C15; 58F27; Boundedness of solutions; Relativistic oscillators; Quasiperiodic solutions; Moser's small twist theorem;
Twisted stacked central configurations for the spatial seven-body problem
Keywords: 34C15; 34C25Seven-body problem; Stacked central configuration; Celestial mechanics
Existence of dynamical hull functions with two variables for the ac-driven Frenkel–Kontorova model
Keywords: 34C12; 34C15; 37C65; 37L60; 70F45Dynamical hull function; Frenkel–Kontorova model; Incommensurate structures; Mode locking; Monotone system
The center problem on a center manifold in R3R3
Keywords: 34C40; 37C10; 34C15; 34C20Integrability; Center conditions; Focus quantities
Periodic solutions of some second-order differential equations with desultorily sublinear nonlinearities
Keywords: 34C11; 34C15; 34C25Rayleigh equation; Liénard equation; Periodic solution; Leray–Schauder continuation theorem
Forced oscillation of second order differential equations with mixed nonlinearities
Keywords: Oscillation; functional; differentail equations; second order34C10; 34C15
Isochronicity conditions for some planar polynomial systems II
Keywords: 34C15; 34C25; 34C37; Polynomial systems; Center; Isochronicity; Liénard type equation; Urabe function; Linearizability;
Some existence results for a periodic problem with non-smooth potential
Keywords: 34B15; 34C15; 58E05Periodic solutions; Reduction method; Local linking; Non-smooth potential
Geodesic length spectrum on compact Riemann surfaces
Keywords: 37B10; 34C15; 37E05; 37B40Geodesic length spectrum; Hyperbolic geometry; Fundamental group
One-dimensional approximation to stochastic lattice system with strong coupling
Keywords: 34C15; 37H10; 60H10; Stochastic lattice system; Rotation number; Invariant measure;
The existence of periodic solutions for a class of nonautonomous lattices with bounded-coupling
Keywords: 34C15; 34C25Nonautonomous lattices; Bounded-coupling; Super-linear; Periodic solutions; A relative priori bounds; Topological degree
Periodic bouncing solutions for attractive singular second-order equations
Keywords: 34C15; 34C25; 37E40; Impact oscillator; Attractive singularity; Periodic solution; Successor map; Poincaré-Birkhoff twist theorem;
Oscillation susceptibility analysis along the path of longitudinal flight equilibriums
Keywords: 34C15; 34C30; 70E15Aerodynamics; Bifurcation; Pilot-induced oscillation; Soft stability loss
A higher order energy bound in a singular Preisach circuit
Keywords: 34C55; 34C15; 34E15; Preisach model; Energy inequalities; Hysteresis oscillations;
Differential inequalities and equations in Banach spaces with a cone
Keywords: 34C15; 34G20; 35B05; 35B40; 46B40; 47B65; 47J20Abstract dissipative evolution differential operators; Ordered Banach spaces; Cone in a Banach space; Conjugate points; Oscillatory functions; Uniform oscillatory time
Two theorems of generalized unsynchronization for coupled chaotic systems
Keywords: 34C15; 34C28; 37D45Generalized unsynchronization; Chaos; Synchronization; Coupled chaotic systems
Asymmetric type II periodic motions for nonlinear impact oscillators
Keywords: 34C15; 34G25; 37C29Impact oscillator; Non-smooth system; Melnikov method; Subharmonic bifurcation; Poincaré map
Specific locking in populations dynamics: Symmetry analysis for coupled heteroclinic cycles
Keywords: 34C15; 34C14Coupled oscillators; Heteroclinic cycle; Frequency locking; Symmetry
Synchronization of nonlinear oscillations of two coupling Berger plates
Keywords: 34C15; 35B40; 35B41; Dissipative dynamical system; Attractor; Synchronization;
Chaos of a parametrically excited undamped pendulum
Keywords: 34C15; 70K5505.45.−a; 45.20.−dChaos; Excited pendulum
Type I periodic motions for nonlinear impact oscillators
Keywords: 34C15; 34G25; 37C29Impact oscillator; Non-smooth system; Melnikov method; Subharmonic bifurcation
Boundedness and unboundedness of solutions for reversible oscillators at resonance
Keywords: 34C11; 34C15; 37J40Boundedness of solutions; Unboundedness of solutions; Reversible system
Invariant tori for a reversible oscillator with a nonlinear damping and periodic forcing term
Keywords: 34C15; 58F27Boundedness of solutions; KAM theory; Reversible systems
Bifurcation and stability properties of periodic solutions to two nonlinear spring-mass systems
Keywords: 34C15; 34C25; Suspension bridge; Continuation; Bifurcation; Stability; Periodic solutions; Nonlinear spring-mass;