Chaotic dynamics of a simple oscillator - A pictorial introduction

DOI10.1016/0960-0779(91)90016-3zbMath0755.70025OpenAlexW1984049550MaRDI QIDQ1198522

S. Schaub, M. Kleczka, Edwin Kreuzer

Publication date: 16 January 1993

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(91)90016-3

zbMATH Keywords

Duffing oscillatorlocal and global bifurcations

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• Survey of regular and chaotic phenomena in the forced Duffing oscillator
• A nonlinear oscillator with a strange attractor
• A Theory of Cell-to-Cell Mapping Dynamical Systems
• A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
• Deterministic Nonperiodic Flow