scientific article; zbMATH DE number 7806546

DOI10.22103/jmmr.2023.20343.1349MaRDI QIDQ6117492

Unnamed Author, Omid Rabiei Motlagh

Publication date: 19 February 2024

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fixed pointperiodic solutionhomoclinic bifurcationPoincaré map

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Unnamed Item
• Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop
• Properties of synchronization in the systems of non-identical coupled van der Pol and van der Pol-Duffing oscillators. Broadband synchronization
• Local and global behavior near homoclinic orbits
• Existence of one homoclinic orbit for second order Hamiltonian systems involving certain hypotheses of monotonicity on the nonlinearities
• A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom
• Constructing explicit homoclinic solution of oscillators: an improvement for perturbation procedure based on nonlinear time transformation
• Concurrent homoclinic bifurcation and Hopf bifurcation for a class of planar Filippov systems
• Complex mixed-mode vibration types triggered by the pitchfork bifurcation delay in a driven van der Pol-Duffing oscillator
• Codimension-3 bifurcations of a class of homoclinic loop with saddle-point
• Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems