Differential Equations and Dynamical Systems

Perko, L. (2001). Differential Equations and Dynamical Systems. Springer.

Type

Book

Intellectual base

Review or monograph

Year

2001

DOI

10.1007/978-1-4613-0003-8

ISBN

9781461265269

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-1-4613-0003-8

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Hartman–Grobman Theorem
  • A local homeomorphism sends nonlinear orbit segments to linear orbit segments while respecting their temporal organization.

Mechanisms

• Phase Portrait Comparison
  • It is the natural first screen on any transformed dynamical model, and it aligns with how the topology of a flow — not its exact coordinates — carries the essential dynamics.

    This sourceTreats qualitative dynamical behavior through topological equivalence of flows rather than exact coordinate agreement.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.

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Registry ID ref:8312ba6083c9 · see in the full table