Download PDF by Peter E. Kloeden, Christian Pötzsche: Nonautonomous Dynamical Systems in the Life Sciences

By Peter E. Kloeden, Christian Pötzsche

ISBN-10: 3319030795

ISBN-13: 9783319030791

ISBN-10: 3319030809

ISBN-13: 9783319030807

Nonautonomous dynamics describes the qualitative habit of evolutionary differential and distinction equations, whose right-hand facet is explicitly time based. Over fresh years, the idea of such platforms has constructed right into a hugely energetic box concerning, but recognizably particular from that of classical self reliant dynamical structures. This improvement was once stimulated through difficulties of utilized arithmetic, particularly within the existence sciences the place really nonautonomous platforms abound. the aim of this monograph is to point via chosen, consultant examples how frequently nonautonomous structures ensue within the lifestyles sciences and to stipulate the hot suggestions and instruments from the speculation of nonautonomous dynamical structures which are now to be had for his or her investigation.

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Nonautonomous Dynamical Systems in the Life Sciences by Peter E. Kloeden, Christian Pötzsche PDF

Nonautonomous dynamics describes the qualitative habit of evolutionary differential and distinction equations, whose right-hand part is explicitly time based. Over fresh years, the idea of such platforms has constructed right into a hugely lively box relating to, but recognizably exact from that of classical self sustaining dynamical structures.

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Math. Biol. 35, 775–792 (1997) 44. E. Kloeden, Pullback attractors in nonautonomous difference equations. J. Differ. Equ. Appl. 6(1), 33–52 (2000) 45. E. Kloeden, Pitchfork and transcritical bifurcations in systems with homogenous nonlinearities and an almost periodic time coefficient. Commun. Pure Appl. Anal. 1(4), 1–14 (2002) 46. E. Kloeden, Pullback attractors for nonautonomous semidynamical systems. Stoch. Dyn. 3(1), 101–112 (2003) 47. E. Kloeden, Nonautonomous attractors of switching systems.

S. Siegmund, Dichotomy spectrum for nonautonomous differential equations. J. Dyn. Differ. Equ. 14(1), 243–258 (2002) 82. M. Simeoni, et al, Predictive pharmacokinetic-pharmacodynamic modeling of tumor growth kinetics in xenograft models after administration of anticancer agents. Cancer Res. 64, 1094– 1101 (2004) 83. W. Shen, Y. Yi, Almost Automorphic and Almost Periodic Dynamics in Skew-product Semiflows. Memoirs of the AMS, vol. 647 (AMS, Providence, 1998) 84. D. Sontag, Mathematical Control Theory.

Kloeden and C. Pötzsche Here, BC or BC1 abbreviates the bounded continuous respectively bounded continuously-differentiable functions. 2 (Autonomous Case). x; /. Since the derivative P is a nontrivial periodic solution to the variational equation xP D D1 f . 7) cannot hold in this situation. Adequate continuation results for periodic solutions can be found in [3]. In the following, we illustrate the nonautonomous alternative to a steady state solution in some typical models in the life sciences.

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Nonautonomous Dynamical Systems in the Life Sciences by Peter E. Kloeden, Christian Pötzsche


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