Keywords: 34C37; 35R11; 47G20; Fractional elliptic equation; Variable-order fractional Laplacian; Variational methods;
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Keywords: 5D Hyperchaotic system; Ellipse-parabola-type and hyperbola-parabola-type heteroclinic orbits; Singularly degenerate heteroclinic cycle; Lyapunov function; Ï-Limit set and α-limit set; 34C45; 34C37;
Keywords: 58K45; 34C37; 37C10; 37C29; 37J45; 70H05; Quadratic vector fields; Configuration of invariant lines; Darboux integrability; Limit cycle;
Keywords: solitary wave; periodic wave; Mawhin's continuation theorem; time-varying delay; nonlinear sources; 34C37; 35C07;
Keywords: 34A99; 34C37; 37G15; High-dimensional system; Melnikov function; Periodic orbit; Bifurcation;
Keywords: 35K58; 34C37; Semi-linear parabolic PDE; Self-similar; Non-Lipschitz; Homoclinic connection; Heteroclinic connection;
Keywords: 35J60; 34C37; 34E15Critical exponent; Ground state; Fowler transformation; Singular perturbations; Melnikov theory
Keywords: Piecewise linear systems; Homoclinic orbits; Heteroclinic orbits34C23; 34C37; 37G99
Heteroclinic connections for a double-well potential with an asymptotically periodic coefficient
Keywords: 34C37; Heteroclinic; Double-well; Asymptotically autonomous; Asymptotically periodic;
Bounded solutions of a k-Hessian equation involving a weighted nonlinear source
Keywords: primary; 35B33; secondary; 34C37; 34C20; 35J62; k-Hessian operator; Radial solutions; Critical exponents; Phase analysis; Lotka-Volterra system;
Travelling waves for a Frenkel-Kontorova chain
Keywords: 37K60; 34C37; 58F03; 70H05;
Homoclinic finger-rings in RN
Keywords: 34C37; 34D09; 37C29; 37J45; Degenerate homoclinic orbit; Homoclinic finger-ring; Width; Bifurcation manifold;
Traveling waves for a generalized Holling-Tanner predator-prey model
Keywords: 34C37; 35C07; 35K10; 35Q92; 92D25; 92D30; Holling-Tanner-type predator-prey model; Traveling waves; Minimal wave speed; Upper and lower solutions; Squeeze method; Lyapunov function;
Dense heteroclinic tangencies near a Bykov cycle
Keywords: primary; 34C28; secondary; 34C37; 37C29; 37D05; 37G35; Heteroclinic cycle; Heteroclinic tangencies; Non-hyperbolicity; Chirality; Quasi-stochastic attractor;
Geometric singular perturbation theory with real noise
Keywords: 34C37; 34C45; 34F05; 37H10Random dynamical systems; Random normally hyperbolic invariant manifolds; Random stable and unstable foliations; Random singular perturbation; Boundary condition; Random inclination
Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations
Keywords: 37L20; 34C37; 35C05; 37G10Lie symmetry analysis; Vector field; Dynamical system method; Bifurcation; Traveling wave solution; sine-Gordon equation
Heteroclinic chaotic behavior driven by a Brownian motion
Keywords: 34C37; 34C45; 34F05; 37H10Heteroclinic loops; Brownian motion; Unbounded stochastic forcing; Topological horseshoe; Random Melnikov function
Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities
Keywords: 37J45; 58E05; 34C37; 70H05; Second-order Hamiltonian systems; Homoclinic solutions; Fountain theorem;
Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials
Keywords: 34C37; 58E05; 70H05Homoclinic solutions; Hamiltonian systems; Genus; Subquadratic potentials; Indefinite sign
Homoclinic orbits for superquadratic Hamiltonian systems without a periodicity assumption
Keywords: 34C37; 37J45; 70H05Homoclinic orbit; Hamiltonian system; Mountain Pass Theorem; The (CC) condition
Isochronicity conditions for some planar polynomial systems II
Keywords: 34C15; 34C25; 34C37; Polynomial systems; Center; Isochronicity; Liénard type equation; Urabe function; Linearizability;
New exact explicit peakon and smooth periodic wave solutions of the K(3,2)K(3,2) equation
Keywords: 34C37; 34G20; 34K18; 74J3002.30.Ik; 02.30.Jr; 05.45.YvK(3,2)K(3,2) equation; Independent variable transformation; Peakon; Smooth periodic wave; Exact explicit solution
Infinitely many homoclinic solutions for second order Hamiltonian systems
Keywords: 37J45; 58E05; 34C37; 70H05Homoclinic solution; Second order Hamiltonian system; Subquadratic
Homoclinic solutions for some second order non-autonomous Hamiltonian systems without the globally superquadratic condition
Keywords: 34C37; 35A15; 37J45Homoclinic solutions; Critical point; Variational methods; Mountain Pass Theorem
Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
Keywords: 34C37; 35A15; 37J45Homoclinic solutions; Critical point; Variational methods
A periodic solution for a second-order asymptotically linear Hamiltonian system
Keywords: 34C37; 47J30Second-order Hamiltonian system; Periodic solution; Critical point
New peakon, solitary wave and periodic wave solutions for the modified Camassa–Holm equation
Keywords: 34C37; 34G20; 34K18; 74J3002.30.Ik; 02.30.Jr; 05.10.-a; 05.45.YvModified Camassa–Holm equation; Peakon; Solitary wave; Periodic wave; Exact solution
Melnikov’s method for a general nonlinear vibro-impact oscillator
Keywords: 34C37; 34A36; 34A26Vibro-impact oscillator; Non-smooth system; Melnikov’s method; Homoclinic orbit
Homoclinic solutions of some second order non-autonomous systems
Keywords: 34C37; 35A15; 37J45Homoclinic solutions; Critical point; Variational methods
Homoclinic solutions for ordinary p-Laplacian systems with a coercive potential
Keywords: 34C37; 58E05; 70H05; Homoclinic solutions; p-Laplacian systems; Coercive potential;
Homoclinic solutions for a class of second-order Hamiltonian systems
Keywords: 34C37; 58E05; 70H05Homoclinic solutions; Hamiltonian systems; Mountain Pass theorem; Diagonal method
An existence result for homoclinic solutions to a nonlinear second-order ODE through differential inequalities
Keywords: 34C37; 34A40Homoclinic solutions; Differential inequalities
Existence and multiplicity of solutions for a non-periodic Schrödinger equation
Keywords: 37J45; 58E05; 34C37; 70H05Nonlinear Schrödinger equations; Variational methods; Asymptotically linear nonlinearities; Strongly indefinite functionals
Homoclinic bifurcation with nonhyperbolic equilibria
Keywords: 34C23; 34C37; 37C29Pitchfork bifurcation; Homoclinic orbit; Periodic orbit; Local coordinate system
Transverse bounded solutions to saddle–centers in periodically perturbed ordinary differential equations
Keywords: 34C37; 37C29; 37D45Homoclinic solutions; Bifurcations; Center manifold
A Hermite spectral method for the computation of homoclinic orbits and associated functionals
Keywords: 34B15; 34C37; 41A30; 42C15; 65L10; 65T99Spectral methods; Homoclinic orbits; Exponential convergence; Hermite functions; Metastability
Melnikov method for discontinuous planar systems
Keywords: 34C37; 34A36; 34A26Homoclinic solution; Non-smooth Melnikov function; Discontinuous system
Homoclinic solutions for a class of the second order Hamiltonian systems
Keywords: 37J45; 58E05; 34C37; 70H05; Homoclinic orbit; Hamiltonian system; Critical point;
Subharmonic bifurcations in a perturbed nonlinear oscillation
Keywords: 37G20; 37G15; 34C37; 34C23; Subharmonic bifurcation; Homoclinic orbit; Periodic orbit; Liapunov-Schmidt reduction; Bifurcation manifold;