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Establishing the Onset, and Parameter and Spatial Domains, of Chaos in a Smooth Quadratic Autonomous System Using Sil’nikov Criteria and Competitive Modes Analysis

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Publication:5407340
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DOI10.5890/DNC.2012.10.001zbMath1334.37034MaRDI QIDQ5407340

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Publication date: 7 April 2014

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)


zbMATH Keywords

nonlinear dynamicschaotic systemscompetitive modes analysisSil'nikov criteria


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)


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