Finite-time perturbations of dynamical systems and applications to tumor therapy | Zendy

Jianjun Paul Tian | Zendy

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Finite-time perturbations of dynamical systems and applications to tumor therapy

Author(s) -

Jianjun Paul Tian

Publication year - 2009

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2009.12.469

Subject(s) - dynamical systems theory , perturbation (astronomy) , dynamical system (definition) , linear dynamical system , physics , statistical physics , classical mechanics , mathematics , quantum mechanics

We study finite-time perturbations of dynamical systems. We prove that finite-time perturbed dynamical systems are asymptotically equivalent to unperturbed dynamical systems. And so the asymptotical behavior of finite-time perturbed systems can be studied by unperturbed systems. As an example, we study a system perturbed by drug treatments.

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