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4 papers · 2 filters
A mathematical approach with delay kernel for the role of the immune response time delay in periodic therapy of the tumors
G. Mircea, M. Neamtu, R. F. Horhat +1
We consider the model of interaction between the immune system and tumor cells including a memory function that reflect the influence of the past states, to simulate the time neede…
Analysis of a 3D chaotic system
G. Tigan, D. Opris
A 3D nonlinear chaotic system, called the T system, is analyzed in this paper. Horseshoe chaos is investigated via the heteroclinic Shilnikov method constructing a heteroclinic con…
On the symmetry breaking phenomenon
Petre Birtea, Mircea Puta, Tudor S. Ratiu +1
We investigate the problem of symmetry breaking in the framework of dynamical systems with symmetry on a smooth manifold. Two cases will be analyzed: general and Hamiltonian dynami…
Equivalence of energy methods in stability theory
Petre Birtea, Mircea Puta
We will prove the equivalence of three methods, the so called energy methods, for establishing the stability of an equilibrium point for a dynamical system. We will illustrate by e…