Detecting period-doubling bifurcation: An approximate monodromy matrix approach

Automatica

Volumn 37, Issue 11, 2001, Pages 1787-1795

  Berns, Daniel W ^a   Moiola, Jorge L ^b   Chen, Guanrong ^c  

^a UNIVERSIDAD NACIONAL DE LA PATAGONIA SAN JUAN BOSCO   (Argentina)

^b UNIVERSIDAD NACIONAL DEL SUR   (Argentina)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Differential equations; Dynamic systems; Feedback systems; Frequency methods; Harmonic balance; Limit cycles; Nonlinear control systems

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); ERROR ANALYSIS; FEEDBACK; INTEGRATION;

HARMONIC BALANCE APPROXIMATIONS (HBA);

NONLINEAR CONTROL SYSTEMS;

EID: 0035501825     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(01)00131-5     Document Type: Article

References (12)

1. A frequency method for predicting limit cycle bifurcations
2. A quasi-analytical approach to period-doubling bifurcation computation and prediction
3. Analysis of stability and bifurcations of limit cycles in Chua's circuit through the Harmonic-Balance approach
4. Computing periodic orbits and their bifurcations with automatic differentiation
5. Continuation techniques and interactive software for bifurcation analysis of ODE's and iterated maps
6. An approximate analytical approach for predicting period-doubling in the Colpitts oscillator
7. Bifurcation dynamics of three-dimensional systems
8. Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics