Numerical analysis of bifurcations

Journal Article · Sat Jun 01 00:00:00 EDT 1996 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.51040· OSTI ID:401070

Guckenheimer, J ^[1]

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1. Mathematics Department, Cornell University, Ithaca, New York 14853 (United States)

This paper is a brief survey of numerical methods for computing bifurcations of generic families of dynamical systems. Emphasis is placed upon algorithms that reflect the structure of the underlying mathematical theory while retaining numerical efficiency. Significant improvements in the computational analysis of dynamical systems are to be expected from more reliance of geometric insight coming from dynamical systems theory. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 401070
• Report Number(s): CONF-950730-; ISSN 0094-243X; TRN: 96:029447
• Journal Information: AIP Conference Proceedings, Vol. 375, Issue 1; Conference: 3. technical conference on nonlinear dynamics (chaos) and full spectrum processing, Mystic, CT (United States), 10-13 Jul 1995; Other Information: PBD: Jun 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DYNAMICS
BIFURCATION
ALGORITHMS
NUMERICAL SOLUTION
PHASE SPACE
SINGULARITY
CATASTROPHE THEORY
DYNAMICAL SYSTEMS
STRUCTURAL STABILITY
CHAOTIC SYSTEMS