Bifurcations of double heterodimensional cycles with three saddle points

Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Global invariant manifolds near a Shilnikov homoclinic bifurcation
Nongeneric bifurcations near heterodimensional cycles with inclination flip in $\mathbb{R}^4$
Weak type heterodimensional cycle bifurcation with orbit-flip
Exact traveling wave solutions and bifurcation of a generalized $(3+1)$-dimensional time-fractional Camassa-Holm-Kadomtsev-Petviashvili equation
Sharp oscillatory traveling waves of structured population dynamics model with degenerate diffusion
Bifurcations and exact traveling wave solutions for the KdV-like equation
Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
The loop quantities and bifurcations of homoclinic loops
Homoclinic bifurcation at resonant eigenvalues
Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip
Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
Bifurcations of heteroclinic loops
Bifurcations of rough heteroclinic loops with three saddle points
Nongeneric bifurcations near a nontransversal heterodimensional cycle
Bifurcations of twisted heteroclinic loop with resonant eigenvalues
Stability of Hopf-bifurcating limit cycles in a diffusion-driven prey-predator system with Allee effect and time delay
Hopf-homoclinic bifurcations and heterodimensional cycles
Homoclinic, heteroclinic and periodic orbits of singularly perturbed systems
Bifurcation of relative equilibria for vortices and general homogeneous potentials
Chaotic traveling wave solutions in coupled Chua's circuits
Global bifurcation of a perturbed double-homoclinic loop
Homoclinic bifurcation of orbit flip with resonant principal eigenvalues
Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in $\mathbb R^3$
Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit
Multi-dimensional compactons and compact vortices
BIFURCATIONS OF HOMOCLINIC ORBIT CONNECTING TWO NONLEADING EIGENDIRECTIONS
ROBUST HETERODIMENSIONAL CYCLES AND $C^1$-GENERIC DYNAMICS
BIFURCATIONS OF GENERIC HETEROCLINIC LOOP ACCOMPANIED BY TRANSCRITICAL BIFURCATION
HETERODIMENSIONAL CYCLE BIFURCATION WITH ORBIT-FLIP
Problems in homoclinic bifurcation with higher dimensions
Bifurcations of Heteroclinic Loop with Twisted Conditions
Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
Persistence of cycles and nonhyperbolic dynamics at heteroclinic bifurcations
Bifurcation Theory and Methods of Dynamical Systems
BIFURCATIONS OF 2-2-1 HETERODIMENSIONAL CYCLES UNDER TRANSVERSALITY CONDITION
BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS
Resonant homoclinic flip bifurcations