Numerical simulations of periodic and chaotic responses in a stable Duffing system

DOI10.1016/0020-7462(87)90033-3zbMath0632.65092OpenAlexW2044145800MaRDI QIDQ1095614

B. George

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(87)90033-3

zbMATH Keywords

Poincaré mapsnumerical simulationstransition to chaosevolution of chaoshard spring Duffing systemPeriod doublingperiodic and chaotic responses

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (12)

On chaos and fractal behavior in a generalized Duffing's system ⋮ Influence of the Integration Steps on the Results of Numerical Simulations for a System with Friction ⋮ Application of high-order difference methods for the study of period doubling bifurcations in nonlinear oscillators ⋮ A continuation algorithm for discovering new chaotic motions in forced Duffing systems ⋮ Analytical and numerical approaches to characteristics of linear and nonlinear vibratory systems under piecewise discontinuous disturbances. ⋮ ROLES OF CHAOTIC SADDLE AND BASIN OF ATTRACTION IN BIFURCATION AND CRISIS ANALYSIS ⋮ Quasiperiodic resonance and bifurcations of tori in the weakly nonlinear Duffing oscillator ⋮ Bifurcation and chaos analysis of stochastic Duffing system under harmonic excitations ⋮ Chaotic Responses in a Stable Duffing System of Non-ideal Type ⋮ Chaos in mechanical systems -- a review ⋮ Unnamed Item ⋮ Periodic and chaotic motions of an unsymmetrical oscillator in nonlinear structural dynamics

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