The Resource Local Lyapunov Exponents : Sublimiting Growth Rates of Linear Random Differential Equations, by Wolfgang Siegert, (electronic resource)

Local Lyapunov Exponents : Sublimiting Growth Rates of Linear Random Differential Equations, by Wolfgang Siegert, (electronic resource)

Label
Local Lyapunov Exponents : Sublimiting Growth Rates of Linear Random Differential Equations
Title
Local Lyapunov Exponents
Title remainder
Sublimiting Growth Rates of Linear Random Differential Equations
Statement of responsibility
by Wolfgang Siegert
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations. Specifically, a linear differential system is considered which is controlled by a stochastic process that during a suitable noise-intensity-dependent time is trapped near one of its so-called metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of the linear system on this time scale. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too
Member of
http://library.link/vocab/creatorName
Siegert, Wolfgang
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1963
http://library.link/vocab/subjectName
  • Mathematics
  • Differentiable dynamical systems
  • Global analysis
  • Differential Equations
  • Differential equations, partial
  • Genetics
  • Mathematics
  • Dynamical Systems and Ergodic Theory
  • Global Analysis and Analysis on Manifolds
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Game Theory, Economics, Social and Behav. Sciences
  • Genetics and Population Dynamics
Label
Local Lyapunov Exponents : Sublimiting Growth Rates of Linear Random Differential Equations, by Wolfgang Siegert, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Linear differential systems with parameter excitation -- Locality and time scales of the underlying non-degenerate stochastic system: Freidlin-Wentzell theory -- Exit probabilities for degenerate systems -- Local Lyapunov exponents
Dimensions
unknown
Extent
IX, 254 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540859642
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-85964-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-85964-2
Label
Local Lyapunov Exponents : Sublimiting Growth Rates of Linear Random Differential Equations, by Wolfgang Siegert, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Linear differential systems with parameter excitation -- Locality and time scales of the underlying non-degenerate stochastic system: Freidlin-Wentzell theory -- Exit probabilities for degenerate systems -- Local Lyapunov exponents
Dimensions
unknown
Extent
IX, 254 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540859642
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-85964-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-85964-2

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