Bifurcations
Springer Verlag, Japan
978-4-431-68245-5 (ISBN)
1 Bifurcations Observed from Electronic Circuits.- 1.1 Introduction.- 1.2 The Double Scroll Circuit.- 1.3 Structure of the Double Scroll.- 1.4 The Double Scroll Circuit is Chaotic in the Sense of Shil’nikov.- 1.5 Homoclinic Linkage.- 1.6 The Torus Breakdown Circuit.- 1.7 The Hyperchaotic Circuit.- 1.8 The Neon Bulb Circuit.- 1.9 The R-L-Diode Circuit.- 2 Bifurcations of Continuous Piecewise-Linear Vector Fields.- 2.1 Introduction.- 2.2 Definition and Standard Forms of Continuous Piecewise-Linear Maps.- 2.3 Normal Forms of Piecewise-Linear Vector Fields.- 2.4 Multiregion Systems and Chaotic Attractors.- 2.5 Bifurcation Equations of Piecewise-Linear Vector Fields.- 2.6 Bifurcation Sets.- 3 Fundamental Concepts in Bifurcations.- 3.1 Introduction.- 3.2 Fundamental Notions for Dynamical Systems.- 3.3 Local Bifurcations around Equilibrium Points in Vector Fields.- 3.4 Dynamics and Bifurcations for Discrete Dynamical Systems.- 3.5 Bifurcations of Homoclinic and Heteroclinic Orbits in Vector Fields.- References.- Credits.
Zusatzinfo | XVI, 468 p. |
---|---|
Verlagsort | Tokyo |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Technik ► Elektrotechnik / Energietechnik | |
Schlagworte | Bifurcations • Chaos • Dynamical Systems • Electronic circuits • Piecewise-Linear Vector Fields |
ISBN-10 | 4-431-68245-7 / 4431682457 |
ISBN-13 | 978-4-431-68245-5 / 9784431682455 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
aus dem Bereich