£118.99

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Springer Averaging for Nonlinear Dynamics - Applied Mathematical Sciences

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Description

This comprehensive mathematical text explores averaging methods for nonlinear dynamical systems, drawing from decades of research in applied mathematics. The book covers parametric and autoparametric systems, Hamiltonian mechanics, and the Fermi-Pasta-Ulam problem whilst examining routes to chaos through numerical bifurcation analysis. Published by Springer as part of the Applied Mathematical Sciences series (volume 223), this work bridges theoretical foundations and practical computational techniques for researchers and graduate students studying complex dynamical behaviour in physical systems. The text combines rigorous mathematical treatment with real-world applications, making it essential for anyone working in nonlinear dynamics, mathematical physics, or applied mathematics who needs to understand perturbation methods and their modern implementations.

Key Features

Springer Applied Mathematical Sciences series volume 223 with peer-reviewed mathematical content on averaging techniques for nonlinear systems.

Covers parametric and autoparametric systems, providing detailed analysis of coupled oscillatory phenomena and resonance behaviour.

Includes Hamiltonian systems treatment, essential for understanding conservative dynamical systems and energy-preserving methods.

Explores the Fermi-Pasta-Ulam problem and connections to chaotic dynamics through comprehensive numerical bifurcation analysis.

Combines theoretical averaging methods with numerical approaches, bridging classical perturbation theory and modern computational techniques.

Addresses routes to chaos with practical examples, helping readers understand transitions from regular to chaotic behaviour in nonlinear systems.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
08 February 2026
Listed Since
25 October 2025

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