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• W1946816830 abstract "AbstractSystems with the coexistence of different stable attractors are widely exploited insystems biology in order to suitably model the differentiating processes arising inliving cells. In order to describe genetic regulatory networks several deterministicmodels based on systems of nonlinear ordinary differential equations have beenproposed.Few studies have been developed to characterize how either an external inputor the coupling can drive systems with different coexisting states. For the sake ofsimplicity, in this manuscript we focus on systems belonging to the class of radialisochron clocks that exhibits hard excitation, in order to investigate their complexdynamics, local and global bifurcations arising in presence of constant externalinputs. In particular the occurrence of saddle node on limit cycle bifurcations isdetected.Keywords: complex dynamics, bioinspired systems, hard excitation, saddle nodeon limit cycle bifurcation, constant input1. IntroductionBeing the most diffuse formalism to model dynamical systems in science andengineering, ordinary differential equations (ODEs) have been widely used in sys-tems biology as well. In particular, nonlinear dynamical systems that can exhibit" @default.
• W1946816830 created "2016-06-24" @default.
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• W1946816830 date "2010-07-15" @default.
• W1946816830 modified "2023-09-27" @default.
• W1946816830 title "Complex dynamics in hard oscillators: the influence of constant inputs" @default.
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