A Modified Two-Time Method for the Dynamic Transitions of Bifurcation

A Modified Two-Time Method for the Dynamic Transitions of Bifurcation

The two-time method has been used successfully to determine the dynamic transitions that occur from an unstable equilibrium state which is called the basic state, to stable equilibrium states that have bifurcated supercritically from the basic state. For some problems, this method is applicable only...

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Veröffentlicht in:SIAM journal on applied mathematics 1980-04, Vol.38 (2), p.249-260
1. Verfasser: Reiss, Edward L.
Format: Artikel
Sprache:eng
Schlagworte:
Amplitude
Approximation
Buckling
Cauchy problem
Compression bandages
Differential equations
High frequencies
Mathematical independent variables
Periodic functions
Restrictions
Sine function
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Zusammenfassung:The two-time method has been used successfully to determine the dynamic transitions that occur from an unstable equilibrium state which is called the basic state, to stable equilibrium states that have bifurcated supercritically from the basic state. For some problems, this method is applicable only for a restricted class of initial disturbances. A modification of the two-time method is presented which eliminates these restrictions on the initial data.
ISSN:0036-1399
1095-712X
DOI:10.1137/0138021