Chaos near a resonant inclination-flip
نویسندگان
چکیده
منابع مشابه
Nongeneric Bifurcations near Heterodimensional Cycles with Inclination Flip in R
Nongeneric bifurcation analysis near rough heterodimensional cycles associated to two saddles in R4 is presented under inclination flip. By setting up local moving frame systems in some tubular neighborhood of unperturbed heterodimensional cycles, we construct a Poincaré return map under the nongeneric conditions and further obtain the bifurcation equations. Coexistence of a heterodimensional c...
متن کاملAn Equivariant, Inclination-flip, Heteroclinic Bifurcation
We examine a heteroclinic bifurcation occurring in families of equivariant vector elds. Within these families, the ows contain structurally stable heteroclinic cycles. The ow can twist around the cycle to produce what is the equivalent of an \inclination-ip" homoclinic orbit. An unfolding of this bifurcation in a generic one-parameter equivariant family shows that Smale horseshoes are embedded ...
متن کاملResonant inclination excitation of migrating giant planets
The observed orbits of extrasolar planets suggest that many giant planets migrate a considerable distance towards their parent star as a result of interactions with the protoplanetary disk, and that some of these planets become trapped in eccentricity-exciting mean motion resonances with one another during this migration. Using three-dimensional numerical simulations, we find that as long as th...
متن کاملControlling high-frequency chaos in resonant tunneling chaos generator circuits
Controlling chaos signal patterns at 12GHz was demonstrated on the resonant tunneling chaos generator circuit. This was made possible by implementing the reset switch, which resets the circuit to various initial conditions periodically. The reset period was set so short that the initial condition errors can not grow significantly. Thus the circuit repeated identical signal patterns, and they ca...
متن کاملResonant Homoclinic Bifurcations with Orbit Flips and Inclination Flips
Homoclinic bifurcation with one orbit flip, two inclination flips and resonance in the tangent directions of homoclinic orbit is considered. By studying the associated successor functions constructed from a local active coordinate system, we prove the existence of double 1-periodic orbit, 1-homoclinic orbit, and also some coexistence conditions of 1-periodic orbit and 1-homoclinic orbit.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2016
ISSN: 0167-2789
DOI: 10.1016/j.physd.2016.06.009