Birfurcation of Multiple Limit Cycles in Plane Quadratic Mass Action Systems

1981 ◽  
pp. 258-258
Author(s):  
C. Escher
Keyword(s):  
Limit Cycles ◽  
Mass Action ◽  
Action Systems

scholarly journals Oscillations in Planar Deficiency-One Mass-Action Systems

2021 ◽  
Author(s):  
Balázs Boros ◽  
Josef Hofbauer
Keyword(s):  
Limit Cycles ◽  
Mass Action ◽  
Positive Equilibrium ◽  
Oscillatory Behaviour ◽  
Action Systems ◽  
Action System ◽  
Globally Stable

AbstractWhereas the positive equilibrium of a planar mass-action system with deficiency zero is always globally stable, for deficiency-one networks there are many different scenarios, mainly involving oscillatory behaviour. We present several examples, with centers or multiple limit cycles.

scholarly journals Complex-balanced equilibria of generalized mass-action systems: necessary conditions for linear stability

2020 ◽  
Vol 17 (1) ◽  
pp. 442-459
Author(s):  
Balázs Boros ◽  
◽  
Stefan Müller ◽  
Georg Regensburger ◽  
Keyword(s):  
Linear Stability ◽  
Necessary Conditions ◽  
Mass Action ◽  
Action Systems

scholarly journals Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems

2005 ◽  
Vol 40 (6) ◽  
pp. 1361-1382 ◽  
Author(s):  
Karin Gatermann ◽  
Markus Eiswirth ◽  
Anke Sensse
Keyword(s):  
Graph Theory ◽  
Mass Action ◽  
Hopf Bifurcations ◽  
Toric Ideals ◽  
Action Systems

Kinetic investigation of complex pseudo mass action systems by use of the pulse method

1980 ◽  
Vol 58 (4) ◽  
pp. 513-516 ◽  
Author(s):  
Erhard G. Christoffel ◽  
Indarto T. Surjo ◽  
Karl-H. Robschlager
Keyword(s):  
Pulse Method ◽  
Mass Action ◽  
Kinetic Investigation ◽  
Action Systems

scholarly journals Weakly Reversible Mass-Action Systems With Infinitely Many Positive Steady States

2020 ◽  
Vol 80 (4) ◽  
pp. 1936-1946 ◽  
Author(s):  
Balázs Boros ◽  
Gheorghe Craciun ◽  
Polly Y. Yu
Keyword(s):  
Steady States ◽  
Mass Action ◽  
Action Systems ◽  
Positive Steady States
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