Analytical proof on the existence of chaos in a generalized Duffing-type oscillator with fractional-order deflection

Nonlinear Analysis: Real World Applications

Volumn 13, Issue 6, 2012, Pages 2724-2733

  Li, Huaqing ^a   Liao, Xiaofeng ^a   Ullah, Saleem ^a   Xiao, Li ^a,b  

^a CHONGQING UNIVERSITY   (China)

^b CHONGQING UNIVERSITY OF EDUCATION   (China)

Author keywords

Chaos; Homoclinic orbit; Melnikov's approach; Poincar map; Smale horseshoe

Indexed keywords

ANALYTICAL EXPRESSIONS; CHAOTIC DYNAMICS; CRITICAL PARAMETER; GENERATION MECHANISM; HOMOCLINIC ORBITS; MELNIKOV FUNCTIONS; MELNIKOV'S APPROACH; NUMERICAL ALGORITHMS; POINCARE; SADDLE POINT; SIMULATION GRAPHS; SMALE HORSESHOE; THEORETICAL FOUNDATIONS; UNSTABLE MANIFOLD;

CHAOS THEORY; DYNAMICAL SYSTEMS;

ALGORITHMS;

EID: 84861923321     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.12.028     Document Type: Article

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