Dynamics and bifurcations of a planar map modeling dispersion managed breathers

Journal Article · Sat May 01 00:00:00 EDT 1999 · SIAM Journal of Applied Mathematics

OSTI ID:6163810

Holmes, P ^[1]; Kutz, J N ^[2]

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1. Princeton Univ., NJ (United States)
2. Princeton Univ., NJ (United States) Lucent Technologies, Murray Hill, NJ (United States). Bell Labs.

The authors study a nonautonomous ODE with piecewise-constant coefficients and its associated two-dimensional Poincare mapping. The ODE models variations in amplitude and phase of a pulse propagating in a lossless optical fiber with periodically varying dispersion. They derive semiexplicit exact solutions and use them to locate fixed points and to describe their bifurcations and stability types. They also discuss the global structure of the Poincare map and interpret the results for modulated pulse propagation.

• Sponsoring Organization: USDOE; National Science Foundation (NSF); USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
• DOE Contract Number: FG02-95ER25238
• OSTI ID: 6163810
• Journal Information: SIAM Journal of Applied Mathematics, Vol. 59:4; ISSN 0036-1399
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIFURCATION
DIFFERENTIAL EQUATIONS
MAPPING
OPTICAL DISPERSION
OPTICAL FIBERS
WAVE PROPAGATION
EQUATIONS
FIBERS
990200* - Mathematics & Computers
661300 - Other Aspects of Physical Science- (1992-)