Periodic motions

by Farkas, Miklós

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Periodic motions / Miklós Farkas.

Edition Statements

Publication Date:©1994.

Publication Statements

Publisher(s):Springer-Verlag
Place of Publication:New York
Language:eng
Publication Date:©1994.

The Physical Object

Description:xiii, 577 pages : : illustrations ; : 25 cm.

Edition Identifiers

ISBN:0387942041, 9780387942049, 3540942041, 9783540942047, 1441928383, 9781441928382
oclc:ocm29667938
LC Classification:QA1
Dewey Decimal:515/.352

1. Introduction. 1.1. Existence, Uniqueness and Analytic Properties of Solutions. 1.2. Linear Systems. 1.3. Dynamical Systems. 1.4. Stability. 1.5. Liapunov's Direct Method -- 2. Periodic Solutions of Linear Systems. 2.1. Linear Systems with Constant Coefficients. 2.2. Homogeneous Linear Systems with Periodic Coefficients. 2.3. Forced Linear Oscillations. 2.4. Stability of Linear Systems. 2.5. Hill's and Mathieu's Equations -- 3. Autonomous Systems in the Plane. 3.1. The Poincare-Bendixson Theory. 3.2. Lienard's Equation. 3.3. Duffing's Equation. 3.4. The Lotka-Volterra Predator-Prey Model and Generalizations. 3.5. The Poincare Index and Non-existence of Cycles. 3.6. Hilbert's Sixteenth Problem -- 4. Periodic Solutions of Periodic Systems. 4.1. Existence of Periodic Solutions. 4.2. Stability and Isolation of Periodic Solutions. 4.3. Periodically Forced Lienard and Duffing Equations. 4.4. Two Competing Species in a Periodically Changing Environment. 4.5. Applications in Higher Dimensions.

5. Autonomous Systems of Arbitrary Dimension. 5.1. Orbital Stability. 5.2. Poincare Map, Isolation and Isochronism. 5.3. D-periodic Solutions of Cylindrical Systems. 5.4. Existence of Periodic So…

Subjects

bifurkációelmélet -- matematika Differentiaalvergelijkingen Differential equations -- Numerical sol… Differentialgleichung Équations différentielles -- Solutions … Gewöhnliche Differentialgleichung globálanalízis közönséges differenciálegyenletek numerieke methoden Numerisches Verfahren Periodische Lösung