- "small" or "type I"
homoclinic bifurcation. In 2D
there is also the "big" or "type II"
homoclinic bifurcation in
which the
homoclinic orbit "traps" the...
- systems, a
homoclinic orbit is a path
through phase space which joins a
saddle equilibrium point to itself. More precisely, a
homoclinic orbit lies in...
- particular,
structurally stable vector fields in two
dimensions cannot have
homoclinic trajectories,
which enormously complicate the dynamics, as discovered...
- the
right intersection.
Between the two cases, the
system undergoes a
homoclinic bifurcation.
Gallery figures: FitzHugh-Nagumo model, with a = 0.7 , τ...
- In
dynamical systems, a
branch of mathematics, a
homoclinic connection is a
structure formed by the
stable manifold and
unstable manifold of a
fixed point...
- constrained. Of the most
common 16, a few are well studied. The fold/
homoclinic, also
called square-wave,
burster is so
named because the
shape of the...
-
connected set
composed of a
finite number of
fixed points together with
homoclinic and
heteroclinic orbits connecting these. Moreover,
there is at most one...
-
points at the
start and end of the
orbit are the same, the
orbit is a
homoclinic orbit.
Consider the
continuous dynamical system described by the ordinary...
-
Inventiones Mathematicae 82, 1985 (397–422). doi:10.1007/BF01388862
Homoclinic Orbits,
Hyperbolic Dynamic and
Fractional Dimensions of
Cantor Sets (Lefschetz...
- net/projects/auto-07p/
Available on SourceForge. HOMCONT: Com****tion of
homoclinic and
heteroclinic orbits.
Included in AUTO MATCONT:
Matlab toolbox for...
