Dynamics of Cellular Systems and Bifurcation Theory
نویسندگان
چکیده
منابع مشابه
Bifurcation analysis and dynamics of a Lorenz –type dynamical system
./files/site1/files/0Abstract1.pdfIn this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of each bifurcation point analytically and numerically. In particular we derived sufficient conditions for existence of Hopf and Pitchfork bifurcati...
متن کاملBifurcation Dynamics in Control Systems
This chapter deals with bifurcation dynamics in control systems, which are described by ordinary differential equations, partial differential equations and delayed differential equations. In particular, bifurcations related to double Hopf, combination of double zero and Hopf, and chaos are studied in detail. Center manifold theory and normal form theory are applied to simplify the analysis. Exp...
متن کاملBifurcation Dynamics of Three-Dimensional Systems
Oscillations described by autonomous three-dimensional differential equations display multiple periodicities and chaos at critical parameter values. Regardless of the subsequent scenario the key instability is often an initial bifurcation from a single period oscillation to either its subharmonic of period two, or a symmetry breaking bifurcation. A generalized third-order nonlinear differential...
متن کاملElements of Differentiable Dynamics and Bifurcation Theory (David Ruelle)
This book is a thin gem having two main parts: Part mDifferential Dynamical Systems and Part 2--Bifurcations. The approach to these subjects is a thorough grounding in dynamics on manifolds in finite-dimensional and Banach spaces, invariant sets and attractors, especially stable, unstable, and center manifolds for maps and semiflows; however, there is no mention of inertial manifolds, which are...
متن کاملDynamics And Bifurcation Of Patterns In Dissipative Systems
Another post with Dynamics And Bifurcation Of Patterns In Dissipative Systems : dynamics and bifurcation of patterns in dissipative systems dynamics and bifurcation of patterns in dissipative systems dynamics and bifurcation of patterns in dissipative systems bifurcation and stability of dissipative systems nbwzy dynamics and bifurcation of patterns in dissipative systems dynamics and bifurcati...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Seibutsu Butsuri
سال: 2016
ISSN: 0582-4052,1347-4219
DOI: 10.2142/biophys.56.340