#### Filter Results:

- Full text PDF available (10)

#### Publication Year

1985

2008

- This year (0)
- Last 5 years (0)
- Last 10 years (2)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- rgy Haller, S. L. Wiggins
- 2002

In this paper we develop methods to show the existence of orbits homoclinic or heteroclinic to periodic orbits, hyperbolic fixed points or combinations of hyperbolic fixed points and/or periodicâ€¦ (More)

- Sergey A. Astakhov, Andrew D. Burbanks, S. L. Wiggins, David Farrelly
- Nature
- 2003

It has been thought that the capture of irregular moonsâ€”with non-circular orbitsâ€”by giant planets occurs by a process in which they are first temporarily trapped by gravity inside the planet's Hillâ€¦ (More)

- Yanguang Li, S. L. Wiggins
- 1997

In Part I ([9], this journal), Li and McLaughlin proved the existence of homoclinic orbits in certain discrete NLS systems. In this paper, we will construct Smale horseshoes based on the existence ofâ€¦ (More)

- lgor Me, S. L. Wiggins
- 1999

where the velocity field is periodic in one or more of the variables (x,y,z) with the remaining variables (if any) bounded (this setting can be relaxed, as we will explain later). The study ofâ€¦ (More)

- S. L. Wiggins, Philip Holmes
- 1985 24th IEEE Conference on Decision and Control
- 1985

We develop a Melnikov type perturbation method for detecting periodic and homoclinic orbits and codimension one bifurcations in a class of third order nonlinear ordinary differential equations. Theseâ€¦ (More)

- George Hailer, S. L. Wiggins
- 2003

In this paper we study the dynamics near resonant elliptic equilibria in three-degree-of-freedom Hamiltonian systems. The resonances we consider have multiplicity two, and the corresponding localâ€¦ (More)

We investigate the relation between the phase-space structures of Hamiltonian and non-Hamiltonian deterministic thermostats. We show that phase-space structures governing reaction dynamics inâ€¦ (More)

We consider a near-integrable Hamiltonian system in action-angle variables with analytic Hamiltonian. For a given resonant surface of multi-plicity one we show that near a Cantor set of points onâ€¦ (More)

- DUFFING OSCHJ, TOR Kayo IDE, S. L. Wiggins
- 1988

Using recently developed techniques of Wiggins [1988] we study the bifurcation to homoclinic tori in the quasiperiodicaUy forced Dulling oscillator. We show how homoclinic tori give rise to chaoticâ€¦ (More)

- S. L. Wiggins
- 1997

In this note we want to point out a number of diiculties of arithmetic nature with the the so-called Melnikov integral (i.e., rst order perturbation theory) as a measure of the splitting distanceâ€¦ (More)