[Regular and chaotic dynamics with applications in nonlinear optics]. Final report

Technical Report · Mon Oct 12 04:00:00 EDT 1998

DOI:https://doi.org/10.2172/10144059· OSTI ID:10144059

Kovacic, G

The following major pieces of work were completed under the sponsorship of this grant: (1) singular perturbation theory for dynamical systems; (2) homoclinic orbits and chaotic dynamics in second-harmonic generating, optically pumped, passive optical cavities; (3) chaotic dynamics in short ring-laser cavities; (4) homoclinic orbits in moderately-long ring-laser cavities; (5) finite-dimensional attractor in ring-laser cavities; (6) turbulent dynamics in long ring-laser cavities; (7) bifurcations in a model for a free-boundary problem for the heat equation; (8) weakly nonlinear dynamics of interface propagation; (9) slowly periodically forced planar Hamiltonian systems; and (10) soliton spectrum of the solutions of the nonlinear Schroedinger equation. A brief summary of the research is given for each project.

• Research Organization: Rensselaer Polytechnic Inst., Mathematical Sciences Dept., Troy, NY (United States)
• Sponsoring Organization: USDOE Office of Energy Research, Washington, DC (United States)
• DOE Contract Number: FG02-93ER25154
• OSTI ID: 10144059
• Report Number(s): DOE/ER/25154--T1; ON: DE99001416
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
426002
661300
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIFURCATION
DYNAMICS
HAMILTONIANS
HARMONIC GENERATION
LASER CAVITIES
LASERS AND MASERS
NONLINEAR OPTICS
OPTICAL PUMPING
OTHER ASPECTS OF PHYSICAL SCIENCE
PERTURBATION THEORY
PROGRESS REPORT
RESEARCH PROGRAMS
RING LASERS
SCHROEDINGER EQUATION