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Springer Two-Dimensional Product-Cubic Systems Vol.II - Springer

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Description

This sixth monograph in a comprehensive 15-volume series examines singularity theory and equilibrium networks within product-quadratic and product-cubic vector fields. The book provides detailed analysis of one-dimensional flows, classifying equilibriums as sources, sinks, and saddles with centre and saddle properties in both clockwise and counter-clockwise configurations. Readers will discover how parabola flows incorporate hyperbolic and hyperbolic-secant behaviour, whilst singular equilibriums manifest as saddle-source and saddle-sink configurations. The work explores bifurcation phenomena and their role in dynamical system transitions, making it essential for mathematicians and researchers studying nonlinear differential equations and phase-space analysis in product systems.

Key Features

Part of a comprehensive 15-volume series by Springer dedicated to product-cubic and product-quadratic systems analysis.

Examines equilibrium classification including sources, sinks, saddles with centre and saddle properties in dynamical systems.

Explores one-dimensional flow structures including parabola flows with hyperbolic and hyperbolic-secant characteristics.

Addresses bifurcation theory and the appearance of singular equilibriums such as saddle-source and saddle-sink configurations.

Provides rigorous mathematical treatment of singularity networks for advanced study in nonlinear differential equations.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
14 November 2025
Listed Since
21 November 2025

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