Results 301 to 310 of about 110,313 (345)
Some of the next articles are maybe not open access.
Periodic Orbits Near Homoclinic Orbits
1982It is known that the orbit-structure of a dynamical system near a homoclinic orbit γ is extremely complicated. However, it is only recently that this complicated structure has begun to be understood. It has been shown (under some hypotheses) that, near γ there are infinitely many long periodic orbits. The flow, near γ, admits a singular Poincare map o:
openaire +1 more source
1994
An intensively used method for finding periodic orbits is Newton’s method and variants thereof. We describe Newton’s method and the Quasi-Newton method later in this section. Newton→s method uses the initialization point y1, marked by the small cross, as its initial point.
Helena E. Nusse +2 more
openaire +1 more source
An intensively used method for finding periodic orbits is Newton’s method and variants thereof. We describe Newton’s method and the Quasi-Newton method later in this section. Newton→s method uses the initialization point y1, marked by the small cross, as its initial point.
Helena E. Nusse +2 more
openaire +1 more source
1994
As a parameter of a map is varied, periodic orbits are often seen to appear and shift in position and perhaps period double or blink out of existence. The orbit-following capability is for tracing their behavior as a parameter is varied. The orbit following routine runs for two dimensional maps, including for example the time-2π maps of periodically ...
Helena E. Nusse +2 more
openaire +1 more source
As a parameter of a map is varied, periodic orbits are often seen to appear and shift in position and perhaps period double or blink out of existence. The orbit-following capability is for tracing their behavior as a parameter is varied. The orbit following routine runs for two dimensional maps, including for example the time-2π maps of periodically ...
Helena E. Nusse +2 more
openaire +1 more source
1971
Suppose f: C → Rn is continuous together with its Frechet derivative and consider the autonomous equation $${\rm{\dot x}}\left( {\rm{t}} \right) = {\rm{f}}\left( {{\rm{x}}_{\rm{t}} } \right)$$ (37.1) .
openaire +1 more source
Suppose f: C → Rn is continuous together with its Frechet derivative and consider the autonomous equation $${\rm{\dot x}}\left( {\rm{t}} \right) = {\rm{f}}\left( {{\rm{x}}_{\rm{t}} } \right)$$ (37.1) .
openaire +1 more source