Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Guckenheimer, J., & Holmes, P. (1983). Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer-Verlag.

Type

Book

Intellectual base

Review or monograph

Year

1983

Volume

42

DOI

10.1007/978-1-4612-1140-2

ISBN

9781461270201

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-1-4612-1140-2

Cited from

systems_cybernetics

Cited by

1 citation across 1 artifact.

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

Primes

• Attractor Selection and Basin Control
  • It separates systems with unique attractors (governed by forcing) from systems with multiple attractors (governed by basin topology), a separation Guckenheimer and Holmes (1983) treat in their canonical text on nonlinear oscillations and bifurcations.

    This sourceCanonical treatment of nonlinear dynamical systems: develops phase-space structure, multiple attractors governed by basin topology, and bifurcations. SUPPORTS marker 048.

    Supported in partVerified against the publisher's abstract

    The abstract confirms the volume concerns nonlinear oscillations, dynamical systems, strange attractors, and topological solutions, but it does not state the specific unique-vs-multiple attractor separation by forcing or basin topology.

    “An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations.”

    Read by an automated reader; not a human review. How support was checked

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